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5
5
(2007-2011)
INSTANT
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Disclaimer : The information in this book is to give you the path to success but it does not guarantee 100% success as the strategy is completely dependent on its execution. And it is based on last years papers of IMO exam.
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IIT-JEE | AIEEE | NEET | BOARDS | OLYMPIAD | NTSE
FOUNDATION COURSE For Classes 8, 9 & 10 Class 8
Class 9
Class 10
1st
Year 2007
Class 5
1st IMOSETA - 2007
2
SECTION I : LOGICAL REASONING 1.
Study the shapes below.
Which figure is made by combining the 2 shapes?
(A)
(B)
(C)
(D)
(C) 17
(D) 18
(C) 14
(D) 15
(E) None of these. 2.
Study the number pattern below. 4, 6, 9, 11, 14, ___ ?__ What is the next number in the pattern? (A) 15
(B) 16
(E) None of these. 3.
The pattern below is missing a number. 2, 5, 8, 11, ____, 17 What number is missing in the pattern? (A) 12
(B) 13
(E) None of these. 4.
The grid below shows the location of places in Tarun neighbourhood. From his house, Tarun walks 2 blocks east, then 6 blocks north, and then 3 blocks east. To what place does Tarun walk? (A) Park
(B) Swimming Pool
(C) Jay’s House
(D) Library
(E) None of these. 5.
Study the given shapes. Which of these statements is true? (A) Each shape has 4 straight sides. (B) Each shape has four corners. (C) Each shape has equal sides. (D) Each shape has only 3 corners. (E) None of these.
SETA 6.
1st IMO - 2007 Class 5
3
Study the given shape. Which of these is a flip of the shape over the dotted line? (A)
(B)
(C)
(D)
(E) None of these. 7.
Top
The given figure is made of 3 small cubes.
Side
Which best shows the side view of the figure? Front
(A)
(B)
(C)
(D)
(E) None of these. 8.
Mr. Bhatnagar has 20 books. He puts them into 5 equal stacks. Which of these shows the stacks of books?
(A)
(B)
(C)
(D)
(C)
(D)
(E) None of these. 9.
Jeet made the figure below using square tiles. Which of these figures is exactly same to the shape Jeet made?
(A)
(B)
(E) None of these. 10. A check mark is turned in the following pattern.
?
Which matches the next turn of the checkmark?
(A) (E) None of these.
(B)
(C)
(D)
Class 5
1st IMOSETA - 2007
4
SECTION II : MATHEMATICAL REASONING 11. What number goes in the box to make this number sentence true? (7 – 3) × 5 = 4 × (A) 3
(B) 4
(C) 5
(D) 7
(E) None of these. 12. Raj has 5 friends. He gave 8 pencils to each friend. Which number sentence could be used to find the total number of pencils Raj gave to his friends? (A)
= 8 × 5
(B)
= 8 + 5
(C)
= 8 – 5
= 8 ¸ 5
(D)
(E) None of these. 13. Study the given figure. What is the area of the outlined figure? (A) 15 square units
(B) 21 square units
(C) 27 square units
(D) 35 square units
KEY = 1 Square Unit
(E) None of these. 14. Which value of g makes the number sentence true? g ¸ 8 = 32 (A) 4
(B) 24
(C) 40
(D) 256
(C) 5°F
(D) 32°F
(E) None of these. 15. Which temperature is the coldest? (A) – 3°F
(B) 0°F
(E) None of these. 16. Last year, there were 35 students in the thirdgrade class. This year there are 24 students. What is the change in the number of students from last year to this year? (A) decreased by 9 students
(B) increased by 9 students
(C) decreased by 11 students
(D) increased by 11 students
(E) None of these. 17. Which statement about the given figures is true? 15 20 4 Figure 1
3 Figure 2
(A) They both have the same area
(B) They both have the same width
(C) They both have the same length
(D) They both have the same perimeter
(E) None of these.
SETA
1st IMO - 2007 Class 5
5
18. Study the given picture of the garden. What is the area of the garden? (A) 17 square metres
(B) 36 square metres
(D) 72 square metres
(E) None of these.
9 metres
(C) 34 square metres 8 metres
19. Which list shows the numbers in order from least to greatest? (A) 3,800,902 3,808,290 4,808,092 4,880,901
(B) 4,880,901 4,808,092 3,808,290 3,800,902
(C) 4,808,092 3,808,290 4,880,901 3,800,902
(D) 3,880,902 4,808,092 3,808,290 4,880,901
(E) None of these. 20. Which of the following is true of equilateral triangles? (A) One of the angles measures 90 degrees
(B) All of the angles measure 60 degrees
(C) Two of the angles measure less than 60 degrees (D) Two of the angles measure greater than 60 degrees (E) None of these. 21. Which fraction is equal to 0.44? (A)
4 10
(B)
44 10
(C)
4 100
(D)
44 100
(E) None of these. 22. Which number is an odd number? (A) 261
(B) 352
(C) 634
(D) 916
(E) None of these. 23. Look at the circle with center O.
A
The line segment AB appears to be (A) an arc
(B) a perimeter
(C) a radius
(D) a diameter
O
B
(E) None of these. 24. Saurav drew a figure with one vertex, one curved face, and at least one flat face. Which figure did Saurav draw?
(A)
(E) None of these.
(B)
(C)
(D)
Class 5
1st IMOSETA - 2007
6
25. Which of the following is equal to 24? (A) 4 × 2 × 3
(B) 2 × 3 × 4 × 6
(C) 2 × 3
(D) 4 × 3
(E) None of these.
SECTION III : EVERYDAY MATHEMATICS 26. Ayush put
1 7 cup of flour in a bowl. Then he mixed in cup more flour. Now how much flour is in 3 3
the bowl? (A)
1 cup 18
(B)
2 cups s 9
(C)
8 cups s 3
(D) 1 cup
(E) None of these. 27. Mohan brushes his teeth three times a day. How many times does he brush his teeth in one year? (A) 365
(B) 730
(C) 1,080
(D) 1,095
(E) None of these. 28. A fruit stand sold 502 peaches, 43 watermelons and 910 apples. How many pieces of fruit were sold in all? (A) 186
(B) 654
(C) 1,005
(D) 1,455
(E) None of these. 29. Joy needs to drive 722 miles. Yesterday, he drove 175 miles. Today he drove 349 miles. What is the total number of miles Joy still has to drive? (A) 198
(B) 298
(C) 524
(D) 547
(E) None of these. 30. There are 168 lunches to be shared equally among 3 fourthgrade classes. How many lunches will go to each class? (A) 56
(B) 165
(C) 171
(E) None of these.
de
(D) 504
2nd
Year 2008
Class 5
2nd IMO - 2008
2
SECTION I : LOGICAL REASONING 1.
What number comes next in the sequence ? 8, 9, 10, 16, 17, 18, 24, 25, 26, ..?... (A) 35
2.
(B) 32
(D) 12
(E) 52
(C) X
(D) C
(E) None of these
Symbol that can never be repeated is (A) I
3.
(C) 36
(B) V
What will come in place of
39814
to make the number sentence true ?
+ 11885 – 5134 ×
(A) 9
(B) 7
= 41431 (C) –2
(D) 2
(E) 8
4. Study the given figure. What is the area of the outlined figure ?
(A) 15 square units
(B) 21 square units
(C) 27 square units
(D) 35 square units
KEY = 1 Square Unit
(E) None of these. 5.
Using the rule between IN numbers and OUT numbers, determine the missing number. IN :
121
OUT: 1331 (A) 1925 6.
8.
183
175
192
1752
2379
?
2880
(B) 2275
(C) 2450
Which angle in the given figure is acute ? (A) Ð A (B) Ð B (D) Ð D
7.
146
(D) 2625
(E) None of these. A
B
(C) Ð C D
(E) None of these.
What number gives 234 when you multiply it by 45 and then divide by 20 ? (A) 104 (B) 106 (C) 108 (D)110
C
(E) None of these.
A festival is taking place on Mr. Mehra’s field. The table below show how the field is divided into ten equal sections. Mr. Mehra's Field Food Games Food
Parking Parking Games
Parking
Food
Parking
Games
What fraction of the field is used for parking ? 3 1 2 (A) (B) (C) 10 3 5 9.
(D)
4 6
(E)
3 5
It takes 55 minutes of fly from town A to town B. It takes 12 times as much time to drive the same distance. How much time is needed to drive from town A to town B ? (A) 11 h 50 min
(B) 11 h
(C) 11 h 30 min
(D) 12 h
(E) None of these.
Class 5
2nd IMO - 2008
3
10. What value from the following options will go in the empty box ?
2
10 3
(A) 1
(B) 16
12
(C) 12 (E) None of these.
(D) 11
15 16 School Cinema Park
11. Mona is standing at the point marked X in the figure. She is facing the food centre. What will she face if she turns 180° anticlockwise ? (A) Food centre
(B) Market
(C) Shopping centre
(D) Park
5
X Play ground Food Centre
(E) None of these.
Market Bus Interchange Shopping Centre
North
12. A game is played using the grid shown. A player is allowed to
B
move north or east only. If he moves north, he must take an odd number of steps. If he moves east, he must take an even number of steps. After each move, he must change direction. How many ways are there to move from A to B altogether ?
1 step A
(A) 5
(B) 2
(C) 3
(D) 4
(E) None of these.
1 step
13. The figure shows a solid made up of cubes of edge 3 cm. How it will look when viewed from the top ?
(A)
(B)
(D)
(E) None of these.
14. Find the value of (A) 7
+
+
(B) 14
(C)
if
+
+
+
(C) 35
= 175 and (D) 49
167
15. What is the missing value ? (A) 214 (C) 254 (E) None of these.
+
(B) 234 (D) 274
52
18
= 5
(E) None of these. 116
14 215
¸
30
134
80 198
28
?
38 314
92
16. Jyoti's car was parked in a car parking from 1.30 p.m. to 4.00 p.m. How much she has to pay ? PARKING RATES First hour
Rs 5
Every additional half an hour
Rs 1.50
(A) Rs 9
(B) Rs 9.50
(C) Rs 8.50
(D) Rs 10.50
(E) None of these.
17. Which of the following numbers when divided by 6, 3 or 5 leaves a remainder of 2 ? (A) 28
(B) 30
(C) 31
(D) 32
(E) None of these.
Class 5
2nd IMO - 2008
4
18. How many more squares need to be shaded to cover 75% of the figure ? (A) 28
(B) 14
(C) 48
(D) 75
(E) 32
(A) 15
(B) 12
(C) 20
(D) 10
3 cm
19. A cube, 3 cm on each side, is painted entirely blue. It is then cut apart into 1 cm 1cm cubes. How many of these cubes will have paint on exactly 2 faces ?
(E) None of these. 20. In an excursion, 1 teacher is required to accompany every 20 pupils. How many teachers are required if 78 pupils are going for the excursion ? (A) 4
(B) 3
(C) 2
(D) 5
(E) None of these.
SECTION II : MATHEMATICAL REASONING 21. Javed saved some notes which consist of Re. 1, Rs. 10 and Rs. 20, notes. If his savings was Rs. 200, and he has 10 Re. 1 note and 3 Rs. 10 notes then how many Rs. 20 notes he had ? (A) 8 (B) 10 (C) 12 (D) 9 (E) None of these. 22. Which set of numbers given below is a sum of 160 and a product of 5775 ? (A) 55 and 105
(B) 60 and 100
(C) 65 and 95
(D) 70 and 90
(E) None of these.
23. Anu baked 1000 cookies. She sold 640 of them and gave the rest equally to 20 of her friends. How many cookies did each of her friends receive ? (A) 18
(B) 20
(C) 24
(D) 30
(E) None of these.
24. Mr. Sharma bought 829 apples. 69 of them were rotten and thrown away. He sold 376 of them and packed the rest equally into bags each containing 12 apples. How many such bags of apples did he have ? (A) 42 bags
(B) 21 bags
(C) 32 bags
(D) 24 bags
25. Find the area of the shaded part of the rectangular strip of papers. (A) 8 cm 2
(B) 32 cm 2
(C) 72 cm 2
(D) 80 cm 2
(E) None of these. 4 cm
8 cm
4 cm
2
(E) 85 cm .
12 cm
26. The average mass of 3 boys is 64 kg. If the total mass of 2 of them is 119 kg, how heavy is the third boy ? (A) 36 kg 27. If
(B) 73 kg
(C) 160 kg
(D) 192 kg
(E) None of these.
(D) 90
(E) None of these.
2 of a number is 10, what is 6 times the number ? 3
(A) 15
(B) 30
(C) 45
Class 5
2nd IMO - 2008
5
2 of them are puppies, 6 of them are parrots and the rest are 3 kittens. How many kittens are in the pet shop ?
28. There are 45 animals in a pet shop.
(A) 10
(B) 9
(C) 8
(D) 7
29. The teacherpupil ratio in a school is 1 : 40. The number of boys is
(E) 5 4 the number of girls. There are 5
2400 girls. How many teachers are there in the school ? (A) 108
(B) 480
(C) 1920
(D) 4320
(E) None of these.
30. There are 30 pupils in a class. Each boy brings 5 stickers and each girl brings 4 stickers. If all the boys bring 60 more stickers than all the girls, how many boys are there ? (A) 10 (B) 15 (C) 20 (D) 25 (E) 5 31. The total mass of 3 adults Govind, Joy and Vineet is 219.4 kg. Govind is 6.9 kg lighter than Vineet. Vineet is 10.4 kg heavier than Joy. How heavy is Govind ? (A) 68.5 kg
(B) 70.4 kg
(C) 72 kg
(D) 78.9 kg
(E) None of these.
32. 40 kg of crystals are graded into 3 sizes : small, medium and large. The ratio by mass of large to medium to small crystals is 4 : 3 : 1. There are 15 large crystals per kg. The total number of large crystals are (A) 525
(B) 560
(C) 300
(D) 570
(E) None of these.
33. What percentage of the figure is not shaded ? (A) 12.5%
(B) 25.5%
(C) 37.5%
(D) 52.5%
(E) None of these.
DIRECTION (Q. 34 & 35) : The line graph shows the number of students got 80% from 1998 to 2004.
(A) 2001
(B) 2000
(C) 2003
(D) 2004
No. of children
34. In which year did the most number of children score 80% ?
No. of children 120 100 80 60 40 20 0 1998 1999 2000 2001 2002 2003 2004 Years
(E) None of these.
35. In which year did the least number of children score 80% marks ? (A) 1998
36.
1 L
(A)
(C)
(B) 1999
(C) 2003
(D) 2004
(E) None of these.
=
50 ml
500 ml
+
+
(E) None of these.
50 ml
100 ml
(B)
(D)
500 ml
100 ml
+
+
500 ml
100 ml
Class 5
2nd IMO - 2008
6
37. 60 litres of apple juice serves to 50 people. How much apple juice is needed to serve 120 people ? (A) 100 litres
(B) 110 litres
38. 1250 + 450 – 200 = (A) 1500
39.
(C) 120 litres
(D) 144 litres
(E) None of these.
2 × _____________. Find the missing value. 5
(B) 2750
(C) 3750
(D) 4000
(E) None of these.
3 1 of a piece of wood of 4 m long, is cut off. What is the length of the remaining portion of the piece 10 5
of wood ? (A) 1.26 m
(B) 2.52 m
(C) 2.94 m
(D) 3.9 m
(E) None of these.
40. Sameer was told to multiply 126 by 32. Instead he multiplied 126 by 23. The difference in his answer, is (A) 1134
(B) 1143
(C) 2898
(D) 4032
(E) None of these.
SECTION III : EVERYDAY MATHEMATICS 41. Sanjay has 10 pets. His pets are either birds or rabbits. All the birds have 16 fewer legs than all the rabbits. How many rabbits does he have ? (A) 6
(B) 9
(C) 4
(D) 2
(E) None of these.
42. Anil transferred eggs from 24 paper trays into plastic trays. Each paper tray could hold 30 eggs while each plastic tray held 20 less. How many plastic trays did he use ? (A) 36
(B) 72
(C) 84
(D) 108
(E) None of these.
43. 6 teachers took 3 classes to the bird park. Each class had 30 pupils. The entrance fee to the bird park was Rs. 15 for an adult. The teachers paid Rs. 600 and received a change of Rs. 60. What was the entrance fee per pupil ? (A) Rs. 6
44. Mohit read
(B) Rs. 5
(C) Rs. 8
(D) Rs. 10
(E) None of these.
1 2 of a book. If he read further 60 pages, he would have read of the book. How many 4 3
pages were there in the book ? (A) 12
(B) 36
(C) 96
(D) 144
(E) None of these.
45. 1 kg of rice costs as much as 1.25 kg of wheat flour. Leela paid Rs. 12.60 for 2 kg of rice and 5 kg of wheat flour. Find the cost of 5 kg of wheat flour. (A) Rs. 1.68
(B) Rs. 2.10
(C) Rs. 8.40
(D) Rs. 10.50
(E) None of these.
46. 12 taps flowing at the same rate can fill a pool in 1 h. How long will it take 5 taps to fill the same pool ? (A) 2 h 4 min
(B) 2 h 14 min
(C) 2 h 24 min
(D) 2 h 34 min
(E) None of these.
47. Kavita can finish painting a house in 6 days and Anita can finish painting the same house in 10 days. On 1 April, they started painting the house together. After painting for 3 days, Kavita could not continue working and Anita had to finish painting the house alone. On which day will the house be fully painted ? (A) 5 April
(B) 6 April
(C) 7 April
(D) 8 April
(E) None of these.
Class 5
2nd IMO - 2008
7
48. Sumit wrote 3 numbers on three cards and covered two of the numbers. The number on Card A is 75% of the number on Card B. The number on Card C is 4 times the number on Card A. If the number on Card B is 124, the value of the number on Card C is (A) 372 (B) 90 (C) 92 (D) 95
A
B
C
124
(E) None of these.
49. Deepak made the smallest possible cube by using rectangular blocks each measuring 6 cm by 4 cm by 3 cm. How many such blocks did he use to make the cube ? (A) 12
(B) 20
(C) 24
(D) 72
(E) 18
50. Arpit cuts a piece of string, 60 cm long, into 12 equal pieces. The length of each piece of string, is (A) 6 cm
(B) 12 cm
(C) 5 cm
(D) 7 cm
SPACE FOR ROUGH WORK
(E) 10 cm
3rd
Year 2009
3rd IMO - 2009
SECTION I : LOGICAL REASONING 1.
Study the ading figures which follow a certain pattern. How many squares do you need in figure 5 ? (A) 15 (B) 18 (C) 21 Figure 1
(D) 24 2.
Figure 2
What is the relation between the areas of the two triangles D ABD & D ACD in the ading figure? C
B
(A) Area of DABD > Area of DACD (B) Area of DABD < Area of DACD (C) Area of DABD = Area of DACD
[Area of 1 = 1 square unit]
(D) None of these 3.
4.
D
A
The numbers in Figures I, II and III are arranged according to a certain pattern. Find the missing 16 18 15 number in Figure II. (A) 8
(B) 4
(C) 5
(D) 6
9
8
5
9
12 Figure I
?
7
15 Figure II
11
4
9
13 Figure III
Chandni travels 3 kms towards the West, turns left and goes 3 kms, turns right and goes 1 km, again N turns right and goes 3 kms. How far is she from the starting point ? (A) 7 kms
(B) 6 kms
(C) 5 kms
(D) 4 kms
W
E S
5.
Which of the following is the largest number that will divide 20, 57 and 85 leaving remainders 2, 3 and 4 respectively ? (A) 3
6.
7.
(B) 6
(C) 9
(D) 18
How many triangles are there in the given figure? (A) 16
(B) 22
(C) 24
(D) 21
Which figure is the rearrangement of the parts of the figure given below ?
(A)
3 rd IMO | LevelI | Class 5
(B)
(C)
2
(D)
3rd IMO - 2009
8.
Which one of the following figures has 5 right angles in it ?
(i)
(A) (iii) 9.
(ii)
(iii)
(B) (iv)
(iv)
(C) (ii)
(D) (i)
Six students from different schools met at a Robotics Fair. Each student shook hands with the other. How many handshakes were exchanged ? (A) 15
(B) 12
(C) 18
(D) 30
10. Ankur visits the gym once every four days. Kunal visits the gym once every six days. Both of them visit the gym today, which is a Tuesday. On which day will they meet each other again in the gym ? (A) Sunday
(B) Thursday
(C) Monday
(D) Saturday
11. How many more of the same shape as shown in the box below are needed to fill up the box? (A) 10 (B) 11 (C) 12 (D) 13 Food centre
12. Jenny is facing her home at O. Find the angle of rotation that Jenny Community centre
has to make in order to face the library. (A) 0°
School
Pet shop
O
(B) 90° (C) 180°
Home
Library
(D) 360°
Market Post office
13. Find the odd one out. (A)
C E D
(B)
(C)
F H G
I
J K
(D)
L N M
14. Which one of the shapes below would not look the same after half a turn ?
(A)
(B)
(C)
(D)
15. Today is Wednesday. What will be the day after 94 days ? (A) Monday
(B) Tuesday
(C) Wednesday
(D) Sunday
16. John has these coins. In how many different ways can he make up a sum of 80 ? (You do not need to use all the coins each time) 10
(A) 1
10
10
10
10
20
20
20
20
(B) 3
(C) 4 3
10
(D) 6 3 rd IMO | LevelI | Class 5
3rd IMO - 2009
17. If
is to
then
(A)
is to (B)
(C)
(D)
18. Ritu started from her house at 8.30 a.m. and visited the Library, Park and Grocery shop and then came back to her house. She spent 40 minutes in the library, 30 minutes in the park and 10 minutes at the grocery shop. The distances between the places are shown in the figure given below. If she took 15 minutes to travel every 5 kms, at what time did she reach her house ? House
(A) 10.30 a.m. (B) 10.50 a.m.
10 kms
Library
5 kms
5 kms
(C) 11.20 a.m. Grocery shop
(D) 11.30 a.m. 19. What will come in the place of
to make the number sentence true ? 24748 –
(A) 3574
Park
10 kms
+ 4239 × 3 = 33918
(B) 3754
(C) 3457
(D) 3547
20. There are 48 toy cars and toy bicycles in a box. If the total number of wheels is 128, how many toy bicycles are there ? (A) 16
(B) 24
(C) 32
(D) 64
SECTION II : MATHEMATICAL REASONING 21. The width of the given rectangle is decreased by 8 cm. Find its new length if its area remains unchanged. (A) 36 cm
(B) 37 cm
(C) 53 cm
(D) 60 cm
32 cm 45 cm
22. Which one of the following is correct ? (A) 6 +
3 1000
+
6 100
= 6.36 (B) 0.6 =
5
(C)
8
6 1000
= 0.006
(D) 0.003 =
3 100
23. The graph given below shows the Mathematics marks obtained by a class of 40 pupils. Study the graph carefully and answer the question.
Number of pupils
12 10 8 6 4 2 0
4049 5059 6069 7079 8089 90100 Marks
What fraction of pupils scored 70 marks and above ? (A)
5 8
3 rd IMO | LevelI | Class 5
(B)
1
(C)
2
4
5 9
(D)
3 5
3rd IMO - 2009
24. The value of 15 × (17 + 19) ¸ 4 – 35 ¸ 7 is ______ (A) 100
(B) 120
(C) 125
(D) 130
25. Peter is five times as old as his grandson, James. After six years, James will be 24 years old. How old is Peter now ? (A) 80 years
(B) 90 years
(C) 100 years
(D) 85 years
26. The figure given below shows 8 identical triangles in 2 squares each of side 10 cm. Find the area of all the shaded triangles. 20 cm
(A) 200 cm 2
(B) 150 cm 2
(C) 125 cm 2
(D) 100 cm 2
27. A watermelon is 10 times as heavy as two apples of equal mass. If the mass of each apple is 214 g, find the mass of 3 such watermelons. (A) 12840 g
(B) 6420 g
(C) 2140 g
(D) 4280 g
28. Roman numeral for the difference of 6895 and 5287 is ______ (A) DCVIII
(B) MDCVIII
(C) MCDVIII
(D) XVICD
29. Refer to the line graph given below which shows the enrollment of nursery children over a period of six years. Study the graph carefully and answer the question.
Number of children in nursery
6000 5000 4000 3000 2000 1000 2001 2002 2003 2004 2005 2006 Years
What was the increase in the number of children between 2004 and 2006 ? (A) 500
(B) 1000
(C) 1500
(D) 2000
5 30. Tanya was asked to convert 77° Fahrenheit to Degree Celsius using the formula C = (F - 32) . Instead 9 9 she used the formula C = (F - 32) . The difference between the right answer and her answer is 5
(A) 25° Celsius
(B) 81° Celsius
(C) 106° Celsius 5
(D) 56° Celsius 3 rd IMO | LevelI | Class 5
3rd IMO - 2009
31. A cylindrical tank with a capacity of 32 litres is 4/5 full of water. One quarter of the water is poured into a pail. How much water is left in the cylindrical tank ? 2 1 3 litres (A) 6 litres (B) 19 litres (C) 5 5 5 17
(D) 8
4 litres 5
32. Number X is a common multiple of 8 and 7. It is between 1100 and 1200. What is number X ? (A) 1144
(B) 1197
(C) 1120
(D) 1136
21 9 33. The decimal representation of 6 + 2 + is __________ 25 1000 (A) 6.849 (B) 8.0849 (C) 8.849
(D) 8.93
34. The sum of five numbers that are arranged in ascending order is 861. The sum of first three numbers is 466 and the sum of last three numbers is 579. What is the third number ? (A) 184
(B) 157
(C) 195
(D) 125
35. The difference in the area of a large square and the area of a small square is 56 cm 2 . If the side of the small square is 5 cm, find the perimeter of the large square. (A) 25 cm
(B) 36 cm
(C) 20 cm
(D) 81 cm
36. The ading figure is made up of 2 similar squares, A and B. Find the
A
B
perimeter of the figure if the area of square A is 36 cm 2 . (A) 24 cm
(B) 48 cm
(C) 30 cm
(D) 36 cm
Area = 36 cm 2
37. The table given below shows the results of a survey of shoe sizes for 12yearold pupils. Shoe size
5
5.5
6
6.5
7
Number of pupils
2
6
14
12
6
What fraction of the total number of pupils wear size 6.5 shoes ? (A)
3 20
(B)
1
(C)
10
3 10
(D)
7 20
38. A number when rounded off to both the nearest hundred and nearest thousand is 235000. The smallest possible of such a number is ________ (A) 234999
(B) 234950
(C) 234990
(D) 234900
39. The numeral that represents three million, seventy eight thousand, four hundred and fourteen is — (A) 3,00788,414
(B) 3,00078,414
(C) 3,78,414
(D) 3,078,414
40. The charges for hiring a boat are shown below. For the first hour
Rs.15
For every additional hour or part there of Rs.10
Mr. Paul hired a boat from 9.00 a.m. to 2.30 p.m. How much did he pay ? (A) Rs. 30 3 rd IMO | LevelI | Class 5
(B) Rs. 45
(C) Rs. 65 6
(D) Rs. 70
3rd IMO - 2009
SECTION III : EVERYDAY MATHEMATICS 41. When Shreya purchased 6 kg of rice, she was short of Rs. 6. When she purchased 8 kg of the same type of rice, she was short of Rs. 14. How much money did she have ? (A) Rs. 18
(B) Rs. 20
(C) Rs. 24
(D) Rs. 30
42. Mrs. Sarah bakes 224 cheese cakes in a week. How many cheese cakes can she bake in 60 days ? (A) 3840
(B) 2240
(C) 1680
(D) 1920
43. The cost of a mug is Rs. 3. If 4 jugs and 4 mugs cost Rs. 60, find the cost of a jug. (A) Rs. 3
(B) Rs. 12
(C) Rs. 15
(D) Rs. 18
æ 3 ö 44. Anju has wire of ç ÷ m length. She cuts it into 5 equal pieces. Find the length of each piece. è 4 ø (A)
3 m 20
(B)
3 m 40
(C)
15 m 4
(D)
2 m 15
45. Mohan saves Rs. 25 per day and his father saves Rs. 50 per day. If both of them save their money for 15 days, what is the difference in their savings ? (A) Rs. 375
(B) Rs. 750
(C) Rs. 1125
(D) Rs. 1500
46. A bag with 20 similar packets of instant noodles has a mass of 2 kg. The mass of each packet of instant noodles is 80 gms. Find the mass of the bag. (A) 300 g
(B) 500 g
(C) 400 g
47. Anushka added 2 litres of water to every
(D) 800 g
1 litre of syrup. If she used 3 litres of syrup, how much 4
water would she need ? (A) 12 litres
(B) 24 litres
(C) 36 litres
(D) 48 litres
48. Sanjana scored a total of 304 marks for Mathematics, Science, English and Hindi. She scored 64 marks in Science, 56 marks in English and 86 marks in Hindi. Find her Mathematics score. (A) 76 marks
(B) 68 marks
(C) 98 marks
(D) 86 marks
49. Sukhi works on a farm. He is paid Rs. 98 for one day. If he works for 52 days, how much will he earn ? (A) Rs. 4096
(B) Rs. 5096
(C) Rs. 3000
(D) Rs. 1200
50. The table given below shows the marks scored by 4 pupils in English, Mathematics and Science during the midyear Examination. Study the table carefully and answer the question. Name of pupil
Marks scored Mathematics Science
English
Aman
96
82
74
Ashu
70
59
54
Rajan
78
51
84
Samrat
65
75
67
Which pupil has the lowest marks for all the 3 subjects ? (A) Aman
(B) Ashu
(C) Rajan 7
(D) Samrat 3 rd IMO | LevelI | Class 5
4th
Year 2010
4th IMO - 2010
Section I : Logical Reasoning 1. Which digit will appear on the face opposite
to the face with number 4?
(A) 3 (C) 6
2 1
(B) 5 (D) 1
6 3
3
5
2. What would be the cost of 2 litres of ice cream and 2 boxes of ice cream cones?
(A) ` 600
(B) ` 580
(C) ` 650
(D) ` 680
3. Look at the given series: 21, 9, 21, 11, 21, 13, 21, .... What number should come
next? (A) 14
(B) 15
(C) 21
(D) 23
4. Blueberries cost more than strawberries.
Blueberries cost less than raspberries.
Raspberries cost more than both strawberries and blueberries.
If the first two statements are true, the third statement is _______ (A) True (B) False (C) Uncertain (D) None of these 5. Geeta put a CD in the CD player and pressed play. When she put
Golden
the CD in, it looked like the picture shown aside. After the song ended, Geeta opened the CD player and the CD looked like it
Oldies
had rotated (turned) 180°. Which figure given below shows the CD after it rotated (turned) 180°?
Oldies Golden
6. A photographer came to take the pictures of a student. There was a choice of five different picture packages. The given chart shows how the number of wallet-sized pictures increases from package to package. If the increase is
Package A Package B
8 wallet-sized pictures
Package C
16 wallet-sized pictures ?
Package D
32 wallet-sized pictures
Package E
40 wallet-sized pictures
the same from one package to the next,
how many wallet-sized pictures should be in package C? (A) 18 (B) 20 (C) 22
PICTURE PACKAGES
4th IMO | Level-I | Class - 5
(D)
Golden
(C)
Oldies
Oldies
Golden
(B)
Oldies
(A)
Golden
(D) 24
4th IMO - 2010
7. Count the number of triangles in the given figure.
(A) 10
(B) 13
(C) 12
(D) None of these
8. Three different positions of a triangle are given. Which of the following options describe its positions?
(A) Rotation, then reflection
(B) Reflection, then translation
(C) Reflection, then rotation
(D) None of these
9. IX + XV + XX = ____. (A) 45 (B) 35
(C) 44
(D) 76
10. In the given diagram the boys who are athletic and disciplined are indicated by which number?
(A) 1
(B) 2
(C) 10
(D) 6
11. Arrange the words given below in a meaningful sequence. 1. House 2. Street 3. Room 4. Town (A) 3, 2, 1, 4, 5 (B) 3, 1, 4, 2, 5 (C) 3, 1, 2, 4, 5
5. District (D) 3, 1, 2, 5, 4
12. Six friends (A, B, C, D, E and F) are sitting in a circle and are facing the centre of the circle. A is between B and C. D is between E and F. B and E are opposite
to each other. Who is sitting opposite to C? (A) E (B) A (C) D 5
13. Which number completes the puzzle?
(A) 23
(B) 19
(D) F 11
7
(C) 21
13
17
?
(D) 20
14. Which one will replace the question mark? 12
18
6
(A) 18
30
16
24
40
18
?
8
(B) 12
(C) 9
27 45
(D) 6 4th IMO | Level-I | Class - 5
4th IMO - 2010
15. What kind of triangles will be obtained if X draws a line segment connecting points A and C on the rectangle shown aside?
(B) Right angled (D) Obtuse
(A) Isosceles (C) Equilateral
B
A
D
C
16. Krishna will pick one tile from a box without looking. From which of the following boxes is she certain to pick a tile with a “J” on it?
(A)
J
B
J
B
J
B
(B)
J
J
J
J
J
J
(C)
B
B
B
B B
17. The given table shows that for science class, Mr. Satish is ordering kits that contain caterpillars. Based on the data in the table, what will be the total number of caterpillars in 8 kits? (A) 48 (B) 38
(D)
J
J
J
J B
Caterpillar kits Number of kits
3
4
5
6
Total number of caterpillars
18
24
30
36
(C) 40
(D) 42
18. The water in Megha's watering bucket is frozen. Which would most likely be the temperature of the water? (B) 100°C (C) 50°C (D) 25°C (A) 0° 19. Look at this pattern. Which of the following flowers will complete the given pattern?
(A)
(B)
(C)
(D)
20. Shreya has a piece of ribbon which is 3 times as long as Sara's ribbon. If Sara's
ribbon is 4.8 m long, how much longer is Shreya's ribbon ? (A) 1.6 m (B) 9.6 m (C) 7.8 m
(D) 14.4 m
Section II : Mathematical reasoning 21. Which geometric figure has six square faces? (A) Cube (B) Cone (C) Cylinder
(D) Sphere
22. Which figure has no line of symmetry?
(A)
4th IMO | Level-I | Class - 5
(B)
(C)
(D)
4th IMO - 2010
23. Charu cut each piece of paper shown below on the dotted line. Which of the
following are the shapes of the four pieces? (A) Triangles and rectangles (B) Squares and triangles (C) Squares and hexagons (D) Rectangles and circles
Paper-2
Paper-1
24. Point P is the centre of the circular target shown in the
Q
P
picture. Which appears to be the chord of the circle?
(A) PQ
(B) SQ
(C) PR
(D) None of these
R S
25. Look at the given problem. Jasmine gave Kanishka 3 sets of stamps. Each set has 6 stamps. What is the total number of stamps Jasmine gave Kanishka?
Which of the following pairs given in the options can be used to solve this problem?
(A)
3+6=
6+6+6=
3+6=
(B)
6×6×6=
(C)
3×6=
3+6=
26. Reshma put an “S” on the calendar to show the date of her first soccer game in August. Reshma's second soccer game is exactly three weeks later. What is the date of her second soccer game? (A) August 7
(D)
3×6=
6+6+6=
August
Sun. Mon. Tues. Wed. Thurs. Fri. Sat. 1 2 3 4 S 5 6 7 8 9 10 11 12
13
14
15
16
17
18 25
(B) August 18
19
20
21
22
23
24
(C) August 24
26
27
28
29
30
31
(D) August 25
27. 2 hrs after 10:30 am is ____.
(A) 12.30 pm
(B) 12.30 am
(C) 1.00 am
(D) None of these
1 ? 1 1 (B) + 2 5 1 1 1 1 1 (D) + + + + 2 2 2 2 2
28. Which of the following has the same value as 5 ×
1 + 5 2 1 1 1 1 1 (C) × × × × 2 2 2 2 2 (A)
29. If the number sentence given below is true, which of the following is also true? 5,760 24 =
(A) 24 ×
= 5,760 (B) 5,760 – 24 =
(C)
× 5,760 = 24 (D) 5,760 + 24 = 4th IMO | Level-I | Class - 5
4th IMO - 2010
30. What should be the number in the START box ? START
(A) 2025
× 18
32
(B) 640
360
(C) 1120
(D) 207360
31. Look at the number line. 0 lying? 3 (B) Between
Between which shapes is
(A) Between
and
(C) Between
and
1 4
1 2
and
(D) Between
3 4
1
11 4
and
32. Ms. Pallavi recorded the time, in which her 12 students complete a set of math problems. Time in seconds : 39 48 59 43 38 37 49 50 58 47 58 46 Then she presented the record as shown below. Number of students
Time in seconds 30-39 40-49 50-59
?
How many tally marks should Ms. Pallavi write in the row for 50-59 seconds? (A) (B) (C) (D)
33. Akriti saw many different shapes of windows on cars and trucks in a parking lot. Four of the windows she saw are drawn below.
Window 1
Window 3
Window 2
Window 4
Which window appears to have only 1 line of symmetry? (A) Window 1 (B) Window 2 (C) Window 3
(D) Window 4
34. What is 6050.287 rounded to the nearest tenth ? (A) 6050 (B) 6100 (C) 6050.29
(D) 6050.3
35. What number am I ? • I am a two-digit even number. • I am a common multiple of 6 and 7. • I have a total of 8 factors. (A) 35 (B) 42
(D) 84
(C) 36
36. When it is 10:30, what kind of angle is formed by the hands of the clock?
(A) Acute
(B) Obtuse
(C) Right
(D) Straight
4th IMO | Level-I | Class - 5
12 1 11 2 10 9 3 4 8 7 6 5
4th IMO - 2010
37. Which point on the number line best represents 1.35?
(A)
(C)
–4
–3 –2
–1
0
1
2
3
4
–4
–3 –2
–1
0
1
2
3
4
(B) (D)
–4
–3 –2
–1
0
1
2
3
4
–4
–3 –2
–1
0
1
2
3
4
38. What is the missing value in the given pattern ?
(A) 2
0.25 × 12 = 0.25 × 3 + 0.25 × 3 + 0.25 × ____. (B) 3 (C) 6 (D) 8
39. Girish is making a math puzzle. He writes that 'w' is an even number which has 12 as a factor. Which of the following could represent the variable 'w'?
(A) 2156
(B) 1728
(C) 1429
(D) 1256
40. A shopkeeper mixed 3.6 kg of hazelnuts with 0.75 kg of raisins. He packed the mixture equally into 5 boxes. What is the weight of each box ?
(A) 14.25 kg
(B) 4.35 kg
(C) 0.87 kg
(D) 0.72 kg
Section III : Everyday Mathematics 41. Every week Suhana saves ` 10 on Monday and ` 15 on Friday. If this is her total weekly savings, how many weeks would she take to save enough to buy a ` 175 wireless phone?
(A) 52 weeks
(B) 46 weeks
(C) 7 weeks
(D) 14 weeks
42. There are 9 rows of seats in a theatre. Each row has the same number of seats. If there is a total of 162 seats, how many seats are in each row?
(A) 17
(B) 18
(C) 19
(D) 20
43. Arjun's snack shop sells small, medium and large sodas. Yesterday, they sold 3 large sodas and 8 more medium sodas than large sodas. Arjun's snack shop also sold 8 small sodas yesterday. How many total sodas did Arjun's snack shop sell yesterday?
(A) 31
(B) 13
(C) 22
(D) 33
44. Abhilasha made cake for a party. She put the cake into the oven at twenty-five past four and took it out thirty minutes later. What time was it when Abhilasha
took out the cake? (A) Five past eight (B) Five o’clock
(C) Five to five
(D) Five past four
45. The temperature of water in a swimming pool is 51°F. Since the freezing point of water is 32°F, how many degrees would the temperature of the water have to drop
to reach the freezing point ? (A) 9°F (B) 21°F
(C) 2°F
(D) 19°F 4th IMO | Level-I | Class - 5
4th IMO - 2010
46. There are 26 birdhouses made at a factory each hour. What is the total number of
birdhouses made at the factory in 8 hours? (A) 34 (B) 64 (C) 202
(D) 208
5 1 glass of lemonade. Roshni drank glass of lemonade. If the 8 4 glasses held the same amount of lemonade, how much more lemonade did Rehana
47. Rehana drank
drink than Roshni? 3 1 (A) (B) 8 8
(C)
3 4
(D)
1 2
5 48. A beaker is 7 filled with water. Another 10 litres of water is needed to fill the beaker to its brim. What is the capacity of the beaker ?
(A) 50 litres
(B) 20 litres
(C) 70 litres
(D) 35 litres
49. The sound of an aeroplane taking off is about 2.2 times louder than a person shouting. Which is the best estimate of the decibel level of an aeroplane taking
off if the decibel level of a person shouting is 65.4? (A) 340 (B) 140 (C) 200
(D) 100
50. A car can travel 315 km on 30 litres of petrol. How far can the car travel if it has
50 litres of petrol in its petrol tank? (A) 10.5 km (B) 189 km
(C) 525 km
Space for Rough Work
4th IMO | Level-I | Class - 5
(D) 840 km
5th
Year 2011
2
5th IMO - 2011
Section I : Logical Reasoning 1. Ginni used pebbles to make a design
Row 1
in the sand. Based on this pattern, how
Row 2
many pebbles are there in row 6?
(A) 16 pebbles
Row 3
(B) 17 pebbles
Row 4
(C) 20 pebbles
(D) 21 pebbles
Row 5
2. The figure is made up of identical triangles. What fraction
of the figure is unshaded ? (A) 4/7 (C) 8/19
(B) 3/7 (D) 3/8
3. About how many more bricks does Molly need in her pile to make it equal to 50 kilograms?
(A) 7
(B) 8
(C) 45
(D) 46
4. This number machine used the same rule each time to find the output numbers shown here. If n is the input number, which rule could the machine have used to find each output number ?
(A) n ÷ 4
(B) n – 4
(C) n × 4
(D) n + 4
5. Which of the following sentence must be true if the ading scale is balanced ?
(A)
=
+
(B)
=
–
(C)
=
×
(D)
=
÷
6. Observe the given pattern.
If the pattern continues, which could be the next two figures?
(A)
(B)
(C)
(D)
3
5th IMO - 2011 7. The fact family shown below is missing a fact. 3 × 8 = 24; 8 × 3 = 24; 24 ÷ 8 = 3; ___ ?__ Which is the missing fact? (A) 24 ÷ 3 = 8 (B) 24 ÷ 4 = 6 (C) 24 + 3 = 27 (D) 24 – 4 = 20
8. Peter went to watch a movie at a cinema. The movie started at 11:45 a.m. and lasted 1 h 45 min. Choose the clock face that correctly shows the time at which the movie ended.
(A)
(B)
(C)
(D)
9. There are 10 children sitting in a row. Ali is the second child from the left while Devi is the second child from the right. How many children are sitting in between
Ali and Devi? (A) 4
(B) 6
(C) 7
(D) 8
10. Kirti had a square page of stamps. She used some of the stamps from the centre of the page. The picture shows the stamps Kirti has left. How much area of the
page of stamps did Kirti use? (A) 6 square units (B) 9 square units (C) 12 square units (D) 16 square units
11. In the ading figure how many different paths can be travelled from point A to point D by visiting a point only once?
(A) 2
(B) 3
(C) 4
(D) 5
12. Johny used the rule "double the number" to create the pattern given below.
3, 6, 12, 24, ____
Which pair of numbers is part of the pattern?
(A) 36, 72
(B) 48, 72
(C) 96, 144
13. The given table shows the possible food
choices for lunch. How many different
lunches can be made that include 1 type
(D) 96, 192
Lunch Choices Soup Sandwich Salad Chicken Ham Vegetable Tomato Turkey Fruit
of soup, 1 type of sandwich and 1 type of salad?
(A) 2
(B) 3
(C) 6
(D) 8
4
5th IMO - 2011
14. Look at the puzzle. Which piece completes the puzzle?
(A)
(B)
(C)
(D)
15. Letters of a word have been jumbled up. You have to construct the word. Each letter has been numbered and is followed by four options. Choose the option which gives
the correct order of the letters as indicated by the numbers to form a word. N I W E T R 1 2 3 4 5 6 (A) 4, 5, 1, 3, 2, 6 (B) 1, 4, 5, 6, 3, 2 (C) 3, 2, 1, 5, 4, 6 (D) 1, 2, 3, 4, 5, 6
16. Which of the figures below has the line of symmetry drawn correctly ?.
(A)
(B)
17. Find the odd one out. (A) 15 (B) 21
(C)
(C) 27
(D)
(D) 31
18. Rohit is incharge of feeding breakfast to the animals on his farm. He feeds them 4 oats every morning. If Rohit has 16 oats left after feeding them on Sunday, what is the last day he will most likely have oats for the animals? (A) Wednesday (B) Thursday (C) Friday (D) Saturday 19. Jackie's mom baked cookies. Jackie wants to share the cookies equally with five friends. What information is needed to determine how many cookies each person
could get? (A) The kind of cookies. (C) The number of cookies baked.
(B) The size of the cookies. (D) The time it took to bake the cookies.
20. Riya asked the students in her class if they have any pets. Her results are shown below.
• 4 students have cats. • 8 students have fish. • 5 students have parrots. • 12 students have dogs. • No student has a frog.
Based on the above information, which statement is most likely true? (A) Cats are better pets than Fish. (B) Fish are better pets than Dogs. (C) Frogs are the most popular pet. (D) Frogs are the least popular pet.
Section II : Mathematical reasoning 21. What is the numeric form of the number given below ? ‘‘One hundred four thousand, one hundred three’’ (A) 1,413 (B) 14,103 (C) 104,103 (D) 104,113
5
5th IMO - 2011 22. Which figure has only one base and one vertex?
(A)
(B)
(C)
(D)
23. Jay arranged 48 books in 4 equal piles to find the quotient of 48 ÷ 4. How can
Jay use this method to find the quotient of 189 ÷ 9? (A) Put 189 books in 4 equal piles. (B) Put 189 books in 9 equal piles. (C) Add 189 to 48 books. Put them in 4 piles. (D) Add 189 to 48 books. Put them in 9 piles.
24. Look at the calendar. What best describes the dates that are on Saturdays?
(A) Multiples of 2
(B) Multiples of 3
(C) Multiples of 4
(D) Multiples of 7
S 1 8 15 22 29
M 2 9 16 23 30
T 3 10 17 24 31
W 4 11 18 25
T 5 12 19 26
F 6 13 20 27
S 7 14 21 28
25. Sara used cutouts of two triangles to make the figures shown below.
Which of the following (A) Both figures have the (B) Both figures have the (C) Both figures have the (D) Both figures have the
statements is true about the figures? same area. same perimeter. same number of sides. same number of vertices.
26. Look at the diagram of Shreya's yard. Which expression can Shreya use to find the perimeter of her yard?
(A) (4 × 4) + (2 × 8)
(B) (4 × 8) + (2 × 8)
(C) (4 + 4) + (2 + 8)
(D) (4 × 8) + (2 × 4)
4m
27. Sandy solved the ading problem in her math class.
What is another way that (A) Sandy can determine 78 (B) Sandy can determine 70 (C) Sandy can determine 78 (D) Sandy can determine 70
8m
4m
Sandy could solve the problem? × 10, then add that to 78 × 5. × 10, then add that to 8 × 5. × 10, then add that to 5 × 10. × 10, then add that to 15 × 10.
8m
78 ×15 390 +780 1170
28. Look at the given figure. Which fraction represents the
shaded part of the figure? (A) 3/8 (C) 5/8
(B) 3/5 (D) 5/3
29. What is the solution to the given expression ? 3 × 10 + (9 × 2) = (A) 48 (B) 78 (C) 84
(D) 114
4m 4m
6
5th IMO - 2011
30. What is the area of the shaded figure?
(A) 20 square units
(B) 22 square units
(C) 26 square units
(D) 28 square units
31. Which list shows all the prime numbers between 0 and 22? (A) 1,3,5,7,11,13,19 (B) 2,3,5,7,11,13,17,19 (C) 2,4,6,8,10,12,14,16,18,20,21 (D) 1,2,4,6,8,9,10,12,14,15,16,18,20,21 32. Which figure appears to have exactly two perpendicular sides?
(A)
(B)
(C)
(D)
33. Multiply the smallest 3-digit number formed using the digits 4, 2 and 5 by 8. (A) 4336 (B) 3400 (C) 2032 (D) 1960 34. The widths of two skateboards are shown in the table. Which number sentence correctly compares the widths of these two skateboards?
1 (A) 8.125 < 8 8
(B) 8.125 = 8 1 8
(C) 8.125 > 8 1 8
(D) None of these
Skateboard Widths Skateboard Width in Inches X 8.125 Y 1 8 8
35. Which item is the heaviest?
(A)
1 kg 100 g
(B)
1090 g
(C)
1400 g
(D)
1390 g
36. Which of the following figures can be made by folding the ading
three-dimensional net along the dashed line segments?
(A)
37. Subtract : 2.38 − 1
(A) 0.48
(B)
9 = 100 (B) 1.29
(C)
(C) 3.47
38. Danish drew an angle as shown here. Sarah drew an angle that was twice the measure of Danish's angle. What was
the measure of Sarah's angle? (A) 20° (C) 80°
(B) 70° (D) 60°
(D)
(D) 0.29
7
5th IMO - 2011 39. What is the missing fraction? 3 4
(A) 3/8
(B) 5/8
=
3 8 (C) 6/8
(D) 7/8
40. Each ading model is shaded to represent a decimal number. Which number sentence correctly compares
these decimal numbers? (A) 0.49 < 0.6 (B) 0.49 = 0.6 (C) 0.49 > 0.6 (D) None of these
Section III : Everyday Mathematics 41. Garima measures a bean plant at the end of every week. At the end of week 1, the plant is 4 inches tall. It grows 1/2 inch each week for 5 more weeks. How tall is Garima’s bean plant at the end of week 5?
(A) 5 inches
(B) 5 1 inches 2
(C) 6 inches
(D) 6
1 inches 2
42. Jay is 86 cm tall. His father is twice as tall as Jay. How tall is Jay’s mother if she
is 18 cm shorter than his father? (A) 1 m 54 cm (B) 1 m 66 cm
(C) 1 m 72 cm
(D) 1 m 90 cm
43. The information about Richa's favourite book is listed below: • There are 364 pages. • There are 14 chapters. • Each chapter has the same number of pages. How many pages are there in each chapter of this book? (A) 26 (B) 27 (C) 28 (D) 29 44. Farah and her friends are baking cookies for a school function. The recipe they are using states that they need 3/4 cups of sugar for every 3 dozen cookies they
make. If they make 7 dozen cookies, about how much sugar will they need? (A) Approximately 1 cup (B) Approximately 2 cups (C) Approximately 4 cups (D) Approximately 7 cups
45. Anuj made a chart showing how much time he spends on homework in one week. Based on the information in the chart, which statement is true? (A) Anuj has no homework on Monday. (B) Anuj spends the most time on homework on Friday. (C) Anuj spends the least amount of time on homework on Wednesday. (D) Anuj spends more time on homework on Tuesday than
Time Spent on Homework Day Minutes Monday 20 Tuesday 45 Wednesday 45 Thursday 30 Friday 30 on Thursday.
8
5th IMO - 2011
46. Nidhi is going to make bracelets to sell for a function. She bought 8 metres of yarn. She wants to cut it into pieces that are 16 centimetres long for each bracelet.
How many bracelets can Nidhi make? (A) 2 (B) 6
(C) 50
(D) 128
47. Ritesh helps his teacher to out books 4 times in a day. How many times does
Ritesh help his teacher in 5 days? (A) 5 (B) 9
(C) 20
(D) 25
48. John has 45 stickers. Mary has 20 more stickers than John. How many stickers
must Mary give to John so that both of them have an equal number of stickers? (A) 5 (B) 10 (C) 25 (D) 55
49. There are 18 pupils in a group. There are 10 boys and the rest are girls. 7 pupils are wearing glasses. If 3 girls are wearing glasses, how many boys are not wearing
glasses? (A) 3
(B) 6
(C) 8
(D) 9
50. There were 1582 chicken eggs and 475 duck eggs in a basket. 128 chicken eggs
and duck eggs were broken. How many eggs were not broken? (A) 981 (B) 1929 (C) 2021 (D) None of these SPACE FOR ROUGH WORK
ANSWER KEYS 1st IMO (2007) 1. 8. 15. 22. 29.
(C) (E) (A) (A) (A)
2. 9. 16. 23. 30.
(B) (B) (C) (D) (A)
3. 10. 17. 24.
(C) (B) (A) (C)
4. 11. 18. 25.
(D) (C) (D) (A)
5. 12. 19. 26.
(C) (A) (A) (C)
6. 13. 20. 27.
(D) (C) (B) (D)
7. 14. 21. 28.
(A) (D) (D) (D)
(C) (D) (B) (B) (C) (A) (A)
6. 13. 20. 27. 34. 41. 48.
(C) (B) (A) (D) (B) (A) (A)
7. 14. 21. 28. 35. 42. 49.
(A) (D) (A) (B) (A) (B) (C)
(C) (C) (D) (D) (C) (C) (B)
6. 13. 20. 27. 34. 41. 48.
(D) (C) (D) (A) (A) (A) (C)
7. 14. 21. 28. 35. 42. 49.
(B) (D) (D) (B) (B) (D) (B)
(A) (D) (B) (D) (D) (C) (A)
6. 13. 20. 27. 34. 41. 48.
(D) (B) (D) (A) (D) (C) (D)
7. 14. 21. 28. 35. 42. 49.
(C) (C) (A) (D) (B) (B) (B)
(B) (D) (C) (A) (D) (A) (C)
6. 13. 20. 27. 34. 41. 48.
(D) (D) (D) (A) (B) (C) (B)
7. 14. 21. 28. 35. 42. 49.
(A) (B) (C) (A) (C) (A) (B)
2 nd IMO (2008) 1. 8. 15. 22. 29. 36. 43. 50.
(B) (C) (B) (A) (A) (B) (B) (C)
2. 9. 16. 23. 30. 37. 44.
(B) (B) (B) (A) (C) (D) (D)
3. 10. 17. 24. 31. 38. 45.
(D) (A) (D) (C) (C) (C) (C)
4. 11. 18. 25. 32. 39. 46.
(C) (D) (A) (D) (C) (C) (C)
5. 12. 19. 26. 33. 40. 47.
3 rd IMO (2009) 1. 8. 15. 22. 29. 36. 43. 50.
(C) (C) (D) (C) (D) (D) (B) (B)
2. 9. 16. 23. 30. 37. 44.
(C) (A) (C) (A) (D) (C) (A)
3. 10. 17. 24. 31. 38. 45.
(C) (A) (C) (D) (B) (D) (A)
4. 11. 18. 25. 32. 39. 46.
(D) (B) (C) (B) (C) (D) (C)
5. 12. 19. 26. 33. 40. 47.
4 th IMO (2010) 1. 8. 15. 22. 29. 36. 43. 50.
(A) (B) (B) (C) (A) (B) (C) (C)
2. 9. 16. 23. 30. 37. 44.
(B) (C) (B) (A) (B) (C) (C)
3. 10. 17. 24. 31. 38. 45.
(B) (B) (A) (B) (B) (C) (D)
4. 11. 18. 25. 32. 39. 46.
(A) (C) (A) (D) (B) (B) (D)
5. 12. 19. 26. 33. 40. 47.
5 th IMO (2011) 1. 8. 15. 22. 29. 36. 43. 50.
(B) (C) (C) (C) (A) (C) (A) (B)
2. 9. 16. 23. 30. 37. 44.
(A) (B) (C) (B) (C) (B) (B)
3. 10. 17. 24. 31. 38. 45.
(B) (B) (D) (D) (B) (C) (D)
4. 11. 18. 25. 32. 39. 46.
(D) (C) (B) (A) (D) (A) (C)
5. 12. 19. 26. 33. 40. 47.
5
(2007-2011)
INSTANT
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Disclaimer : The information in this book is to give you the path to success but it does not guarantee 100% success as the strategy is completely dependent on its execution. And it is based on last years papers of IMO exam.
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IIT-JEE | AIEEE | NEET | BOARDS | OLYMPIAD | NTSE
FOUNDATION COURSE For Classes 8, 9 & 10 Class 8
Class 9
Class 10
1st
Year 2007
Class 5
1st IMOSETA - 2007
2
SECTION I : LOGICAL REASONING 1.
Study the shapes below.
Which figure is made by combining the 2 shapes?
(A)
(B)
(C)
(D)
(C) 17
(D) 18
(C) 14
(D) 15
(E) None of these. 2.
Study the number pattern below. 4, 6, 9, 11, 14, ___ ?__ What is the next number in the pattern? (A) 15
(B) 16
(E) None of these. 3.
The pattern below is missing a number. 2, 5, 8, 11, ____, 17 What number is missing in the pattern? (A) 12
(B) 13
(E) None of these. 4.
The grid below shows the location of places in Tarun neighbourhood. From his house, Tarun walks 2 blocks east, then 6 blocks north, and then 3 blocks east. To what place does Tarun walk? (A) Park
(B) Swimming Pool
(C) Jay’s House
(D) Library
(E) None of these. 5.
Study the given shapes. Which of these statements is true? (A) Each shape has 4 straight sides. (B) Each shape has four corners. (C) Each shape has equal sides. (D) Each shape has only 3 corners. (E) None of these.
SETA 6.
1st IMO - 2007 Class 5
3
Study the given shape. Which of these is a flip of the shape over the dotted line? (A)
(B)
(C)
(D)
(E) None of these. 7.
Top
The given figure is made of 3 small cubes.
Side
Which best shows the side view of the figure? Front
(A)
(B)
(C)
(D)
(E) None of these. 8.
Mr. Bhatnagar has 20 books. He puts them into 5 equal stacks. Which of these shows the stacks of books?
(A)
(B)
(C)
(D)
(C)
(D)
(E) None of these. 9.
Jeet made the figure below using square tiles. Which of these figures is exactly same to the shape Jeet made?
(A)
(B)
(E) None of these. 10. A check mark is turned in the following pattern.
?
Which matches the next turn of the checkmark?
(A) (E) None of these.
(B)
(C)
(D)
Class 5
1st IMOSETA - 2007
4
SECTION II : MATHEMATICAL REASONING 11. What number goes in the box to make this number sentence true? (7 – 3) × 5 = 4 × (A) 3
(B) 4
(C) 5
(D) 7
(E) None of these. 12. Raj has 5 friends. He gave 8 pencils to each friend. Which number sentence could be used to find the total number of pencils Raj gave to his friends? (A)
= 8 × 5
(B)
= 8 + 5
(C)
= 8 – 5
= 8 ¸ 5
(D)
(E) None of these. 13. Study the given figure. What is the area of the outlined figure? (A) 15 square units
(B) 21 square units
(C) 27 square units
(D) 35 square units
KEY = 1 Square Unit
(E) None of these. 14. Which value of g makes the number sentence true? g ¸ 8 = 32 (A) 4
(B) 24
(C) 40
(D) 256
(C) 5°F
(D) 32°F
(E) None of these. 15. Which temperature is the coldest? (A) – 3°F
(B) 0°F
(E) None of these. 16. Last year, there were 35 students in the thirdgrade class. This year there are 24 students. What is the change in the number of students from last year to this year? (A) decreased by 9 students
(B) increased by 9 students
(C) decreased by 11 students
(D) increased by 11 students
(E) None of these. 17. Which statement about the given figures is true? 15 20 4 Figure 1
3 Figure 2
(A) They both have the same area
(B) They both have the same width
(C) They both have the same length
(D) They both have the same perimeter
(E) None of these.
SETA
1st IMO - 2007 Class 5
5
18. Study the given picture of the garden. What is the area of the garden? (A) 17 square metres
(B) 36 square metres
(D) 72 square metres
(E) None of these.
9 metres
(C) 34 square metres 8 metres
19. Which list shows the numbers in order from least to greatest? (A) 3,800,902 3,808,290 4,808,092 4,880,901
(B) 4,880,901 4,808,092 3,808,290 3,800,902
(C) 4,808,092 3,808,290 4,880,901 3,800,902
(D) 3,880,902 4,808,092 3,808,290 4,880,901
(E) None of these. 20. Which of the following is true of equilateral triangles? (A) One of the angles measures 90 degrees
(B) All of the angles measure 60 degrees
(C) Two of the angles measure less than 60 degrees (D) Two of the angles measure greater than 60 degrees (E) None of these. 21. Which fraction is equal to 0.44? (A)
4 10
(B)
44 10
(C)
4 100
(D)
44 100
(E) None of these. 22. Which number is an odd number? (A) 261
(B) 352
(C) 634
(D) 916
(E) None of these. 23. Look at the circle with center O.
A
The line segment AB appears to be (A) an arc
(B) a perimeter
(C) a radius
(D) a diameter
O
B
(E) None of these. 24. Saurav drew a figure with one vertex, one curved face, and at least one flat face. Which figure did Saurav draw?
(A)
(E) None of these.
(B)
(C)
(D)
Class 5
1st IMOSETA - 2007
6
25. Which of the following is equal to 24? (A) 4 × 2 × 3
(B) 2 × 3 × 4 × 6
(C) 2 × 3
(D) 4 × 3
(E) None of these.
SECTION III : EVERYDAY MATHEMATICS 26. Ayush put
1 7 cup of flour in a bowl. Then he mixed in cup more flour. Now how much flour is in 3 3
the bowl? (A)
1 cup 18
(B)
2 cups s 9
(C)
8 cups s 3
(D) 1 cup
(E) None of these. 27. Mohan brushes his teeth three times a day. How many times does he brush his teeth in one year? (A) 365
(B) 730
(C) 1,080
(D) 1,095
(E) None of these. 28. A fruit stand sold 502 peaches, 43 watermelons and 910 apples. How many pieces of fruit were sold in all? (A) 186
(B) 654
(C) 1,005
(D) 1,455
(E) None of these. 29. Joy needs to drive 722 miles. Yesterday, he drove 175 miles. Today he drove 349 miles. What is the total number of miles Joy still has to drive? (A) 198
(B) 298
(C) 524
(D) 547
(E) None of these. 30. There are 168 lunches to be shared equally among 3 fourthgrade classes. How many lunches will go to each class? (A) 56
(B) 165
(C) 171
(E) None of these.
de
(D) 504
2nd
Year 2008
Class 5
2nd IMO - 2008
2
SECTION I : LOGICAL REASONING 1.
What number comes next in the sequence ? 8, 9, 10, 16, 17, 18, 24, 25, 26, ..?... (A) 35
2.
(B) 32
(D) 12
(E) 52
(C) X
(D) C
(E) None of these
Symbol that can never be repeated is (A) I
3.
(C) 36
(B) V
What will come in place of
39814
to make the number sentence true ?
+ 11885 – 5134 ×
(A) 9
(B) 7
= 41431 (C) –2
(D) 2
(E) 8
4. Study the given figure. What is the area of the outlined figure ?
(A) 15 square units
(B) 21 square units
(C) 27 square units
(D) 35 square units
KEY = 1 Square Unit
(E) None of these. 5.
Using the rule between IN numbers and OUT numbers, determine the missing number. IN :
121
OUT: 1331 (A) 1925 6.
8.
183
175
192
1752
2379
?
2880
(B) 2275
(C) 2450
Which angle in the given figure is acute ? (A) Ð A (B) Ð B (D) Ð D
7.
146
(D) 2625
(E) None of these. A
B
(C) Ð C D
(E) None of these.
What number gives 234 when you multiply it by 45 and then divide by 20 ? (A) 104 (B) 106 (C) 108 (D)110
C
(E) None of these.
A festival is taking place on Mr. Mehra’s field. The table below show how the field is divided into ten equal sections. Mr. Mehra's Field Food Games Food
Parking Parking Games
Parking
Food
Parking
Games
What fraction of the field is used for parking ? 3 1 2 (A) (B) (C) 10 3 5 9.
(D)
4 6
(E)
3 5
It takes 55 minutes of fly from town A to town B. It takes 12 times as much time to drive the same distance. How much time is needed to drive from town A to town B ? (A) 11 h 50 min
(B) 11 h
(C) 11 h 30 min
(D) 12 h
(E) None of these.
Class 5
2nd IMO - 2008
3
10. What value from the following options will go in the empty box ?
2
10 3
(A) 1
(B) 16
12
(C) 12 (E) None of these.
(D) 11
15 16 School Cinema Park
11. Mona is standing at the point marked X in the figure. She is facing the food centre. What will she face if she turns 180° anticlockwise ? (A) Food centre
(B) Market
(C) Shopping centre
(D) Park
5
X Play ground Food Centre
(E) None of these.
Market Bus Interchange Shopping Centre
North
12. A game is played using the grid shown. A player is allowed to
B
move north or east only. If he moves north, he must take an odd number of steps. If he moves east, he must take an even number of steps. After each move, he must change direction. How many ways are there to move from A to B altogether ?
1 step A
(A) 5
(B) 2
(C) 3
(D) 4
(E) None of these.
1 step
13. The figure shows a solid made up of cubes of edge 3 cm. How it will look when viewed from the top ?
(A)
(B)
(D)
(E) None of these.
14. Find the value of (A) 7
+
+
(B) 14
(C)
if
+
+
+
(C) 35
= 175 and (D) 49
167
15. What is the missing value ? (A) 214 (C) 254 (E) None of these.
+
(B) 234 (D) 274
52
18
= 5
(E) None of these. 116
14 215
¸
30
134
80 198
28
?
38 314
92
16. Jyoti's car was parked in a car parking from 1.30 p.m. to 4.00 p.m. How much she has to pay ? PARKING RATES First hour
Rs 5
Every additional half an hour
Rs 1.50
(A) Rs 9
(B) Rs 9.50
(C) Rs 8.50
(D) Rs 10.50
(E) None of these.
17. Which of the following numbers when divided by 6, 3 or 5 leaves a remainder of 2 ? (A) 28
(B) 30
(C) 31
(D) 32
(E) None of these.
Class 5
2nd IMO - 2008
4
18. How many more squares need to be shaded to cover 75% of the figure ? (A) 28
(B) 14
(C) 48
(D) 75
(E) 32
(A) 15
(B) 12
(C) 20
(D) 10
3 cm
19. A cube, 3 cm on each side, is painted entirely blue. It is then cut apart into 1 cm 1cm cubes. How many of these cubes will have paint on exactly 2 faces ?
(E) None of these. 20. In an excursion, 1 teacher is required to accompany every 20 pupils. How many teachers are required if 78 pupils are going for the excursion ? (A) 4
(B) 3
(C) 2
(D) 5
(E) None of these.
SECTION II : MATHEMATICAL REASONING 21. Javed saved some notes which consist of Re. 1, Rs. 10 and Rs. 20, notes. If his savings was Rs. 200, and he has 10 Re. 1 note and 3 Rs. 10 notes then how many Rs. 20 notes he had ? (A) 8 (B) 10 (C) 12 (D) 9 (E) None of these. 22. Which set of numbers given below is a sum of 160 and a product of 5775 ? (A) 55 and 105
(B) 60 and 100
(C) 65 and 95
(D) 70 and 90
(E) None of these.
23. Anu baked 1000 cookies. She sold 640 of them and gave the rest equally to 20 of her friends. How many cookies did each of her friends receive ? (A) 18
(B) 20
(C) 24
(D) 30
(E) None of these.
24. Mr. Sharma bought 829 apples. 69 of them were rotten and thrown away. He sold 376 of them and packed the rest equally into bags each containing 12 apples. How many such bags of apples did he have ? (A) 42 bags
(B) 21 bags
(C) 32 bags
(D) 24 bags
25. Find the area of the shaded part of the rectangular strip of papers. (A) 8 cm 2
(B) 32 cm 2
(C) 72 cm 2
(D) 80 cm 2
(E) None of these. 4 cm
8 cm
4 cm
2
(E) 85 cm .
12 cm
26. The average mass of 3 boys is 64 kg. If the total mass of 2 of them is 119 kg, how heavy is the third boy ? (A) 36 kg 27. If
(B) 73 kg
(C) 160 kg
(D) 192 kg
(E) None of these.
(D) 90
(E) None of these.
2 of a number is 10, what is 6 times the number ? 3
(A) 15
(B) 30
(C) 45
Class 5
2nd IMO - 2008
5
2 of them are puppies, 6 of them are parrots and the rest are 3 kittens. How many kittens are in the pet shop ?
28. There are 45 animals in a pet shop.
(A) 10
(B) 9
(C) 8
(D) 7
29. The teacherpupil ratio in a school is 1 : 40. The number of boys is
(E) 5 4 the number of girls. There are 5
2400 girls. How many teachers are there in the school ? (A) 108
(B) 480
(C) 1920
(D) 4320
(E) None of these.
30. There are 30 pupils in a class. Each boy brings 5 stickers and each girl brings 4 stickers. If all the boys bring 60 more stickers than all the girls, how many boys are there ? (A) 10 (B) 15 (C) 20 (D) 25 (E) 5 31. The total mass of 3 adults Govind, Joy and Vineet is 219.4 kg. Govind is 6.9 kg lighter than Vineet. Vineet is 10.4 kg heavier than Joy. How heavy is Govind ? (A) 68.5 kg
(B) 70.4 kg
(C) 72 kg
(D) 78.9 kg
(E) None of these.
32. 40 kg of crystals are graded into 3 sizes : small, medium and large. The ratio by mass of large to medium to small crystals is 4 : 3 : 1. There are 15 large crystals per kg. The total number of large crystals are (A) 525
(B) 560
(C) 300
(D) 570
(E) None of these.
33. What percentage of the figure is not shaded ? (A) 12.5%
(B) 25.5%
(C) 37.5%
(D) 52.5%
(E) None of these.
DIRECTION (Q. 34 & 35) : The line graph shows the number of students got 80% from 1998 to 2004.
(A) 2001
(B) 2000
(C) 2003
(D) 2004
No. of children
34. In which year did the most number of children score 80% ?
No. of children 120 100 80 60 40 20 0 1998 1999 2000 2001 2002 2003 2004 Years
(E) None of these.
35. In which year did the least number of children score 80% marks ? (A) 1998
36.
1 L
(A)
(C)
(B) 1999
(C) 2003
(D) 2004
(E) None of these.
=
50 ml
500 ml
+
+
(E) None of these.
50 ml
100 ml
(B)
(D)
500 ml
100 ml
+
+
500 ml
100 ml
Class 5
2nd IMO - 2008
6
37. 60 litres of apple juice serves to 50 people. How much apple juice is needed to serve 120 people ? (A) 100 litres
(B) 110 litres
38. 1250 + 450 – 200 = (A) 1500
39.
(C) 120 litres
(D) 144 litres
(E) None of these.
2 × _____________. Find the missing value. 5
(B) 2750
(C) 3750
(D) 4000
(E) None of these.
3 1 of a piece of wood of 4 m long, is cut off. What is the length of the remaining portion of the piece 10 5
of wood ? (A) 1.26 m
(B) 2.52 m
(C) 2.94 m
(D) 3.9 m
(E) None of these.
40. Sameer was told to multiply 126 by 32. Instead he multiplied 126 by 23. The difference in his answer, is (A) 1134
(B) 1143
(C) 2898
(D) 4032
(E) None of these.
SECTION III : EVERYDAY MATHEMATICS 41. Sanjay has 10 pets. His pets are either birds or rabbits. All the birds have 16 fewer legs than all the rabbits. How many rabbits does he have ? (A) 6
(B) 9
(C) 4
(D) 2
(E) None of these.
42. Anil transferred eggs from 24 paper trays into plastic trays. Each paper tray could hold 30 eggs while each plastic tray held 20 less. How many plastic trays did he use ? (A) 36
(B) 72
(C) 84
(D) 108
(E) None of these.
43. 6 teachers took 3 classes to the bird park. Each class had 30 pupils. The entrance fee to the bird park was Rs. 15 for an adult. The teachers paid Rs. 600 and received a change of Rs. 60. What was the entrance fee per pupil ? (A) Rs. 6
44. Mohit read
(B) Rs. 5
(C) Rs. 8
(D) Rs. 10
(E) None of these.
1 2 of a book. If he read further 60 pages, he would have read of the book. How many 4 3
pages were there in the book ? (A) 12
(B) 36
(C) 96
(D) 144
(E) None of these.
45. 1 kg of rice costs as much as 1.25 kg of wheat flour. Leela paid Rs. 12.60 for 2 kg of rice and 5 kg of wheat flour. Find the cost of 5 kg of wheat flour. (A) Rs. 1.68
(B) Rs. 2.10
(C) Rs. 8.40
(D) Rs. 10.50
(E) None of these.
46. 12 taps flowing at the same rate can fill a pool in 1 h. How long will it take 5 taps to fill the same pool ? (A) 2 h 4 min
(B) 2 h 14 min
(C) 2 h 24 min
(D) 2 h 34 min
(E) None of these.
47. Kavita can finish painting a house in 6 days and Anita can finish painting the same house in 10 days. On 1 April, they started painting the house together. After painting for 3 days, Kavita could not continue working and Anita had to finish painting the house alone. On which day will the house be fully painted ? (A) 5 April
(B) 6 April
(C) 7 April
(D) 8 April
(E) None of these.
Class 5
2nd IMO - 2008
7
48. Sumit wrote 3 numbers on three cards and covered two of the numbers. The number on Card A is 75% of the number on Card B. The number on Card C is 4 times the number on Card A. If the number on Card B is 124, the value of the number on Card C is (A) 372 (B) 90 (C) 92 (D) 95
A
B
C
124
(E) None of these.
49. Deepak made the smallest possible cube by using rectangular blocks each measuring 6 cm by 4 cm by 3 cm. How many such blocks did he use to make the cube ? (A) 12
(B) 20
(C) 24
(D) 72
(E) 18
50. Arpit cuts a piece of string, 60 cm long, into 12 equal pieces. The length of each piece of string, is (A) 6 cm
(B) 12 cm
(C) 5 cm
(D) 7 cm
SPACE FOR ROUGH WORK
(E) 10 cm
3rd
Year 2009
3rd IMO - 2009
SECTION I : LOGICAL REASONING 1.
Study the ading figures which follow a certain pattern. How many squares do you need in figure 5 ? (A) 15 (B) 18 (C) 21 Figure 1
(D) 24 2.
Figure 2
What is the relation between the areas of the two triangles D ABD & D ACD in the ading figure? C
B
(A) Area of DABD > Area of DACD (B) Area of DABD < Area of DACD (C) Area of DABD = Area of DACD
[Area of 1 = 1 square unit]
(D) None of these 3.
4.
D
A
The numbers in Figures I, II and III are arranged according to a certain pattern. Find the missing 16 18 15 number in Figure II. (A) 8
(B) 4
(C) 5
(D) 6
9
8
5
9
12 Figure I
?
7
15 Figure II
11
4
9
13 Figure III
Chandni travels 3 kms towards the West, turns left and goes 3 kms, turns right and goes 1 km, again N turns right and goes 3 kms. How far is she from the starting point ? (A) 7 kms
(B) 6 kms
(C) 5 kms
(D) 4 kms
W
E S
5.
Which of the following is the largest number that will divide 20, 57 and 85 leaving remainders 2, 3 and 4 respectively ? (A) 3
6.
7.
(B) 6
(C) 9
(D) 18
How many triangles are there in the given figure? (A) 16
(B) 22
(C) 24
(D) 21
Which figure is the rearrangement of the parts of the figure given below ?
(A)
3 rd IMO | LevelI | Class 5
(B)
(C)
2
(D)
3rd IMO - 2009
8.
Which one of the following figures has 5 right angles in it ?
(i)
(A) (iii) 9.
(ii)
(iii)
(B) (iv)
(iv)
(C) (ii)
(D) (i)
Six students from different schools met at a Robotics Fair. Each student shook hands with the other. How many handshakes were exchanged ? (A) 15
(B) 12
(C) 18
(D) 30
10. Ankur visits the gym once every four days. Kunal visits the gym once every six days. Both of them visit the gym today, which is a Tuesday. On which day will they meet each other again in the gym ? (A) Sunday
(B) Thursday
(C) Monday
(D) Saturday
11. How many more of the same shape as shown in the box below are needed to fill up the box? (A) 10 (B) 11 (C) 12 (D) 13 Food centre
12. Jenny is facing her home at O. Find the angle of rotation that Jenny Community centre
has to make in order to face the library. (A) 0°
School
Pet shop
O
(B) 90° (C) 180°
Home
Library
(D) 360°
Market Post office
13. Find the odd one out. (A)
C E D
(B)
(C)
F H G
I
J K
(D)
L N M
14. Which one of the shapes below would not look the same after half a turn ?
(A)
(B)
(C)
(D)
15. Today is Wednesday. What will be the day after 94 days ? (A) Monday
(B) Tuesday
(C) Wednesday
(D) Sunday
16. John has these coins. In how many different ways can he make up a sum of 80 ? (You do not need to use all the coins each time) 10
(A) 1
10
10
10
10
20
20
20
20
(B) 3
(C) 4 3
10
(D) 6 3 rd IMO | LevelI | Class 5
3rd IMO - 2009
17. If
is to
then
(A)
is to (B)
(C)
(D)
18. Ritu started from her house at 8.30 a.m. and visited the Library, Park and Grocery shop and then came back to her house. She spent 40 minutes in the library, 30 minutes in the park and 10 minutes at the grocery shop. The distances between the places are shown in the figure given below. If she took 15 minutes to travel every 5 kms, at what time did she reach her house ? House
(A) 10.30 a.m. (B) 10.50 a.m.
10 kms
Library
5 kms
5 kms
(C) 11.20 a.m. Grocery shop
(D) 11.30 a.m. 19. What will come in the place of
to make the number sentence true ? 24748 –
(A) 3574
Park
10 kms
+ 4239 × 3 = 33918
(B) 3754
(C) 3457
(D) 3547
20. There are 48 toy cars and toy bicycles in a box. If the total number of wheels is 128, how many toy bicycles are there ? (A) 16
(B) 24
(C) 32
(D) 64
SECTION II : MATHEMATICAL REASONING 21. The width of the given rectangle is decreased by 8 cm. Find its new length if its area remains unchanged. (A) 36 cm
(B) 37 cm
(C) 53 cm
(D) 60 cm
32 cm 45 cm
22. Which one of the following is correct ? (A) 6 +
3 1000
+
6 100
= 6.36 (B) 0.6 =
5
(C)
8
6 1000
= 0.006
(D) 0.003 =
3 100
23. The graph given below shows the Mathematics marks obtained by a class of 40 pupils. Study the graph carefully and answer the question.
Number of pupils
12 10 8 6 4 2 0
4049 5059 6069 7079 8089 90100 Marks
What fraction of pupils scored 70 marks and above ? (A)
5 8
3 rd IMO | LevelI | Class 5
(B)
1
(C)
2
4
5 9
(D)
3 5
3rd IMO - 2009
24. The value of 15 × (17 + 19) ¸ 4 – 35 ¸ 7 is ______ (A) 100
(B) 120
(C) 125
(D) 130
25. Peter is five times as old as his grandson, James. After six years, James will be 24 years old. How old is Peter now ? (A) 80 years
(B) 90 years
(C) 100 years
(D) 85 years
26. The figure given below shows 8 identical triangles in 2 squares each of side 10 cm. Find the area of all the shaded triangles. 20 cm
(A) 200 cm 2
(B) 150 cm 2
(C) 125 cm 2
(D) 100 cm 2
27. A watermelon is 10 times as heavy as two apples of equal mass. If the mass of each apple is 214 g, find the mass of 3 such watermelons. (A) 12840 g
(B) 6420 g
(C) 2140 g
(D) 4280 g
28. Roman numeral for the difference of 6895 and 5287 is ______ (A) DCVIII
(B) MDCVIII
(C) MCDVIII
(D) XVICD
29. Refer to the line graph given below which shows the enrollment of nursery children over a period of six years. Study the graph carefully and answer the question.
Number of children in nursery
6000 5000 4000 3000 2000 1000 2001 2002 2003 2004 2005 2006 Years
What was the increase in the number of children between 2004 and 2006 ? (A) 500
(B) 1000
(C) 1500
(D) 2000
5 30. Tanya was asked to convert 77° Fahrenheit to Degree Celsius using the formula C = (F - 32) . Instead 9 9 she used the formula C = (F - 32) . The difference between the right answer and her answer is 5
(A) 25° Celsius
(B) 81° Celsius
(C) 106° Celsius 5
(D) 56° Celsius 3 rd IMO | LevelI | Class 5
3rd IMO - 2009
31. A cylindrical tank with a capacity of 32 litres is 4/5 full of water. One quarter of the water is poured into a pail. How much water is left in the cylindrical tank ? 2 1 3 litres (A) 6 litres (B) 19 litres (C) 5 5 5 17
(D) 8
4 litres 5
32. Number X is a common multiple of 8 and 7. It is between 1100 and 1200. What is number X ? (A) 1144
(B) 1197
(C) 1120
(D) 1136
21 9 33. The decimal representation of 6 + 2 + is __________ 25 1000 (A) 6.849 (B) 8.0849 (C) 8.849
(D) 8.93
34. The sum of five numbers that are arranged in ascending order is 861. The sum of first three numbers is 466 and the sum of last three numbers is 579. What is the third number ? (A) 184
(B) 157
(C) 195
(D) 125
35. The difference in the area of a large square and the area of a small square is 56 cm 2 . If the side of the small square is 5 cm, find the perimeter of the large square. (A) 25 cm
(B) 36 cm
(C) 20 cm
(D) 81 cm
36. The ading figure is made up of 2 similar squares, A and B. Find the
A
B
perimeter of the figure if the area of square A is 36 cm 2 . (A) 24 cm
(B) 48 cm
(C) 30 cm
(D) 36 cm
Area = 36 cm 2
37. The table given below shows the results of a survey of shoe sizes for 12yearold pupils. Shoe size
5
5.5
6
6.5
7
Number of pupils
2
6
14
12
6
What fraction of the total number of pupils wear size 6.5 shoes ? (A)
3 20
(B)
1
(C)
10
3 10
(D)
7 20
38. A number when rounded off to both the nearest hundred and nearest thousand is 235000. The smallest possible of such a number is ________ (A) 234999
(B) 234950
(C) 234990
(D) 234900
39. The numeral that represents three million, seventy eight thousand, four hundred and fourteen is — (A) 3,00788,414
(B) 3,00078,414
(C) 3,78,414
(D) 3,078,414
40. The charges for hiring a boat are shown below. For the first hour
Rs.15
For every additional hour or part there of Rs.10
Mr. Paul hired a boat from 9.00 a.m. to 2.30 p.m. How much did he pay ? (A) Rs. 30 3 rd IMO | LevelI | Class 5
(B) Rs. 45
(C) Rs. 65 6
(D) Rs. 70
3rd IMO - 2009
SECTION III : EVERYDAY MATHEMATICS 41. When Shreya purchased 6 kg of rice, she was short of Rs. 6. When she purchased 8 kg of the same type of rice, she was short of Rs. 14. How much money did she have ? (A) Rs. 18
(B) Rs. 20
(C) Rs. 24
(D) Rs. 30
42. Mrs. Sarah bakes 224 cheese cakes in a week. How many cheese cakes can she bake in 60 days ? (A) 3840
(B) 2240
(C) 1680
(D) 1920
43. The cost of a mug is Rs. 3. If 4 jugs and 4 mugs cost Rs. 60, find the cost of a jug. (A) Rs. 3
(B) Rs. 12
(C) Rs. 15
(D) Rs. 18
æ 3 ö 44. Anju has wire of ç ÷ m length. She cuts it into 5 equal pieces. Find the length of each piece. è 4 ø (A)
3 m 20
(B)
3 m 40
(C)
15 m 4
(D)
2 m 15
45. Mohan saves Rs. 25 per day and his father saves Rs. 50 per day. If both of them save their money for 15 days, what is the difference in their savings ? (A) Rs. 375
(B) Rs. 750
(C) Rs. 1125
(D) Rs. 1500
46. A bag with 20 similar packets of instant noodles has a mass of 2 kg. The mass of each packet of instant noodles is 80 gms. Find the mass of the bag. (A) 300 g
(B) 500 g
(C) 400 g
47. Anushka added 2 litres of water to every
(D) 800 g
1 litre of syrup. If she used 3 litres of syrup, how much 4
water would she need ? (A) 12 litres
(B) 24 litres
(C) 36 litres
(D) 48 litres
48. Sanjana scored a total of 304 marks for Mathematics, Science, English and Hindi. She scored 64 marks in Science, 56 marks in English and 86 marks in Hindi. Find her Mathematics score. (A) 76 marks
(B) 68 marks
(C) 98 marks
(D) 86 marks
49. Sukhi works on a farm. He is paid Rs. 98 for one day. If he works for 52 days, how much will he earn ? (A) Rs. 4096
(B) Rs. 5096
(C) Rs. 3000
(D) Rs. 1200
50. The table given below shows the marks scored by 4 pupils in English, Mathematics and Science during the midyear Examination. Study the table carefully and answer the question. Name of pupil
Marks scored Mathematics Science
English
Aman
96
82
74
Ashu
70
59
54
Rajan
78
51
84
Samrat
65
75
67
Which pupil has the lowest marks for all the 3 subjects ? (A) Aman
(B) Ashu
(C) Rajan 7
(D) Samrat 3 rd IMO | LevelI | Class 5
4th
Year 2010
4th IMO - 2010
Section I : Logical Reasoning 1. Which digit will appear on the face opposite
to the face with number 4?
(A) 3 (C) 6
2 1
(B) 5 (D) 1
6 3
3
5
2. What would be the cost of 2 litres of ice cream and 2 boxes of ice cream cones?
(A) ` 600
(B) ` 580
(C) ` 650
(D) ` 680
3. Look at the given series: 21, 9, 21, 11, 21, 13, 21, .... What number should come
next? (A) 14
(B) 15
(C) 21
(D) 23
4. Blueberries cost more than strawberries.
Blueberries cost less than raspberries.
Raspberries cost more than both strawberries and blueberries.
If the first two statements are true, the third statement is _______ (A) True (B) False (C) Uncertain (D) None of these 5. Geeta put a CD in the CD player and pressed play. When she put
Golden
the CD in, it looked like the picture shown aside. After the song ended, Geeta opened the CD player and the CD looked like it
Oldies
had rotated (turned) 180°. Which figure given below shows the CD after it rotated (turned) 180°?
Oldies Golden
6. A photographer came to take the pictures of a student. There was a choice of five different picture packages. The given chart shows how the number of wallet-sized pictures increases from package to package. If the increase is
Package A Package B
8 wallet-sized pictures
Package C
16 wallet-sized pictures ?
Package D
32 wallet-sized pictures
Package E
40 wallet-sized pictures
the same from one package to the next,
how many wallet-sized pictures should be in package C? (A) 18 (B) 20 (C) 22
PICTURE PACKAGES
4th IMO | Level-I | Class - 5
(D)
Golden
(C)
Oldies
Oldies
Golden
(B)
Oldies
(A)
Golden
(D) 24
4th IMO - 2010
7. Count the number of triangles in the given figure.
(A) 10
(B) 13
(C) 12
(D) None of these
8. Three different positions of a triangle are given. Which of the following options describe its positions?
(A) Rotation, then reflection
(B) Reflection, then translation
(C) Reflection, then rotation
(D) None of these
9. IX + XV + XX = ____. (A) 45 (B) 35
(C) 44
(D) 76
10. In the given diagram the boys who are athletic and disciplined are indicated by which number?
(A) 1
(B) 2
(C) 10
(D) 6
11. Arrange the words given below in a meaningful sequence. 1. House 2. Street 3. Room 4. Town (A) 3, 2, 1, 4, 5 (B) 3, 1, 4, 2, 5 (C) 3, 1, 2, 4, 5
5. District (D) 3, 1, 2, 5, 4
12. Six friends (A, B, C, D, E and F) are sitting in a circle and are facing the centre of the circle. A is between B and C. D is between E and F. B and E are opposite
to each other. Who is sitting opposite to C? (A) E (B) A (C) D 5
13. Which number completes the puzzle?
(A) 23
(B) 19
(D) F 11
7
(C) 21
13
17
?
(D) 20
14. Which one will replace the question mark? 12
18
6
(A) 18
30
16
24
40
18
?
8
(B) 12
(C) 9
27 45
(D) 6 4th IMO | Level-I | Class - 5
4th IMO - 2010
15. What kind of triangles will be obtained if X draws a line segment connecting points A and C on the rectangle shown aside?
(B) Right angled (D) Obtuse
(A) Isosceles (C) Equilateral
B
A
D
C
16. Krishna will pick one tile from a box without looking. From which of the following boxes is she certain to pick a tile with a “J” on it?
(A)
J
B
J
B
J
B
(B)
J
J
J
J
J
J
(C)
B
B
B
B B
17. The given table shows that for science class, Mr. Satish is ordering kits that contain caterpillars. Based on the data in the table, what will be the total number of caterpillars in 8 kits? (A) 48 (B) 38
(D)
J
J
J
J B
Caterpillar kits Number of kits
3
4
5
6
Total number of caterpillars
18
24
30
36
(C) 40
(D) 42
18. The water in Megha's watering bucket is frozen. Which would most likely be the temperature of the water? (B) 100°C (C) 50°C (D) 25°C (A) 0° 19. Look at this pattern. Which of the following flowers will complete the given pattern?
(A)
(B)
(C)
(D)
20. Shreya has a piece of ribbon which is 3 times as long as Sara's ribbon. If Sara's
ribbon is 4.8 m long, how much longer is Shreya's ribbon ? (A) 1.6 m (B) 9.6 m (C) 7.8 m
(D) 14.4 m
Section II : Mathematical reasoning 21. Which geometric figure has six square faces? (A) Cube (B) Cone (C) Cylinder
(D) Sphere
22. Which figure has no line of symmetry?
(A)
4th IMO | Level-I | Class - 5
(B)
(C)
(D)
4th IMO - 2010
23. Charu cut each piece of paper shown below on the dotted line. Which of the
following are the shapes of the four pieces? (A) Triangles and rectangles (B) Squares and triangles (C) Squares and hexagons (D) Rectangles and circles
Paper-2
Paper-1
24. Point P is the centre of the circular target shown in the
Q
P
picture. Which appears to be the chord of the circle?
(A) PQ
(B) SQ
(C) PR
(D) None of these
R S
25. Look at the given problem. Jasmine gave Kanishka 3 sets of stamps. Each set has 6 stamps. What is the total number of stamps Jasmine gave Kanishka?
Which of the following pairs given in the options can be used to solve this problem?
(A)
3+6=
6+6+6=
3+6=
(B)
6×6×6=
(C)
3×6=
3+6=
26. Reshma put an “S” on the calendar to show the date of her first soccer game in August. Reshma's second soccer game is exactly three weeks later. What is the date of her second soccer game? (A) August 7
(D)
3×6=
6+6+6=
August
Sun. Mon. Tues. Wed. Thurs. Fri. Sat. 1 2 3 4 S 5 6 7 8 9 10 11 12
13
14
15
16
17
18 25
(B) August 18
19
20
21
22
23
24
(C) August 24
26
27
28
29
30
31
(D) August 25
27. 2 hrs after 10:30 am is ____.
(A) 12.30 pm
(B) 12.30 am
(C) 1.00 am
(D) None of these
1 ? 1 1 (B) + 2 5 1 1 1 1 1 (D) + + + + 2 2 2 2 2
28. Which of the following has the same value as 5 ×
1 + 5 2 1 1 1 1 1 (C) × × × × 2 2 2 2 2 (A)
29. If the number sentence given below is true, which of the following is also true? 5,760 24 =
(A) 24 ×
= 5,760 (B) 5,760 – 24 =
(C)
× 5,760 = 24 (D) 5,760 + 24 = 4th IMO | Level-I | Class - 5
4th IMO - 2010
30. What should be the number in the START box ? START
(A) 2025
× 18
32
(B) 640
360
(C) 1120
(D) 207360
31. Look at the number line. 0 lying? 3 (B) Between
Between which shapes is
(A) Between
and
(C) Between
and
1 4
1 2
and
(D) Between
3 4
1
11 4
and
32. Ms. Pallavi recorded the time, in which her 12 students complete a set of math problems. Time in seconds : 39 48 59 43 38 37 49 50 58 47 58 46 Then she presented the record as shown below. Number of students
Time in seconds 30-39 40-49 50-59
?
How many tally marks should Ms. Pallavi write in the row for 50-59 seconds? (A) (B) (C) (D)
33. Akriti saw many different shapes of windows on cars and trucks in a parking lot. Four of the windows she saw are drawn below.
Window 1
Window 3
Window 2
Window 4
Which window appears to have only 1 line of symmetry? (A) Window 1 (B) Window 2 (C) Window 3
(D) Window 4
34. What is 6050.287 rounded to the nearest tenth ? (A) 6050 (B) 6100 (C) 6050.29
(D) 6050.3
35. What number am I ? • I am a two-digit even number. • I am a common multiple of 6 and 7. • I have a total of 8 factors. (A) 35 (B) 42
(D) 84
(C) 36
36. When it is 10:30, what kind of angle is formed by the hands of the clock?
(A) Acute
(B) Obtuse
(C) Right
(D) Straight
4th IMO | Level-I | Class - 5
12 1 11 2 10 9 3 4 8 7 6 5
4th IMO - 2010
37. Which point on the number line best represents 1.35?
(A)
(C)
–4
–3 –2
–1
0
1
2
3
4
–4
–3 –2
–1
0
1
2
3
4
(B) (D)
–4
–3 –2
–1
0
1
2
3
4
–4
–3 –2
–1
0
1
2
3
4
38. What is the missing value in the given pattern ?
(A) 2
0.25 × 12 = 0.25 × 3 + 0.25 × 3 + 0.25 × ____. (B) 3 (C) 6 (D) 8
39. Girish is making a math puzzle. He writes that 'w' is an even number which has 12 as a factor. Which of the following could represent the variable 'w'?
(A) 2156
(B) 1728
(C) 1429
(D) 1256
40. A shopkeeper mixed 3.6 kg of hazelnuts with 0.75 kg of raisins. He packed the mixture equally into 5 boxes. What is the weight of each box ?
(A) 14.25 kg
(B) 4.35 kg
(C) 0.87 kg
(D) 0.72 kg
Section III : Everyday Mathematics 41. Every week Suhana saves ` 10 on Monday and ` 15 on Friday. If this is her total weekly savings, how many weeks would she take to save enough to buy a ` 175 wireless phone?
(A) 52 weeks
(B) 46 weeks
(C) 7 weeks
(D) 14 weeks
42. There are 9 rows of seats in a theatre. Each row has the same number of seats. If there is a total of 162 seats, how many seats are in each row?
(A) 17
(B) 18
(C) 19
(D) 20
43. Arjun's snack shop sells small, medium and large sodas. Yesterday, they sold 3 large sodas and 8 more medium sodas than large sodas. Arjun's snack shop also sold 8 small sodas yesterday. How many total sodas did Arjun's snack shop sell yesterday?
(A) 31
(B) 13
(C) 22
(D) 33
44. Abhilasha made cake for a party. She put the cake into the oven at twenty-five past four and took it out thirty minutes later. What time was it when Abhilasha
took out the cake? (A) Five past eight (B) Five o’clock
(C) Five to five
(D) Five past four
45. The temperature of water in a swimming pool is 51°F. Since the freezing point of water is 32°F, how many degrees would the temperature of the water have to drop
to reach the freezing point ? (A) 9°F (B) 21°F
(C) 2°F
(D) 19°F 4th IMO | Level-I | Class - 5
4th IMO - 2010
46. There are 26 birdhouses made at a factory each hour. What is the total number of
birdhouses made at the factory in 8 hours? (A) 34 (B) 64 (C) 202
(D) 208
5 1 glass of lemonade. Roshni drank glass of lemonade. If the 8 4 glasses held the same amount of lemonade, how much more lemonade did Rehana
47. Rehana drank
drink than Roshni? 3 1 (A) (B) 8 8
(C)
3 4
(D)
1 2
5 48. A beaker is 7 filled with water. Another 10 litres of water is needed to fill the beaker to its brim. What is the capacity of the beaker ?
(A) 50 litres
(B) 20 litres
(C) 70 litres
(D) 35 litres
49. The sound of an aeroplane taking off is about 2.2 times louder than a person shouting. Which is the best estimate of the decibel level of an aeroplane taking
off if the decibel level of a person shouting is 65.4? (A) 340 (B) 140 (C) 200
(D) 100
50. A car can travel 315 km on 30 litres of petrol. How far can the car travel if it has
50 litres of petrol in its petrol tank? (A) 10.5 km (B) 189 km
(C) 525 km
Space for Rough Work
4th IMO | Level-I | Class - 5
(D) 840 km
5th
Year 2011
2
5th IMO - 2011
Section I : Logical Reasoning 1. Ginni used pebbles to make a design
Row 1
in the sand. Based on this pattern, how
Row 2
many pebbles are there in row 6?
(A) 16 pebbles
Row 3
(B) 17 pebbles
Row 4
(C) 20 pebbles
(D) 21 pebbles
Row 5
2. The figure is made up of identical triangles. What fraction
of the figure is unshaded ? (A) 4/7 (C) 8/19
(B) 3/7 (D) 3/8
3. About how many more bricks does Molly need in her pile to make it equal to 50 kilograms?
(A) 7
(B) 8
(C) 45
(D) 46
4. This number machine used the same rule each time to find the output numbers shown here. If n is the input number, which rule could the machine have used to find each output number ?
(A) n ÷ 4
(B) n – 4
(C) n × 4
(D) n + 4
5. Which of the following sentence must be true if the ading scale is balanced ?
(A)
=
+
(B)
=
–
(C)
=
×
(D)
=
÷
6. Observe the given pattern.
If the pattern continues, which could be the next two figures?
(A)
(B)
(C)
(D)
3
5th IMO - 2011 7. The fact family shown below is missing a fact. 3 × 8 = 24; 8 × 3 = 24; 24 ÷ 8 = 3; ___ ?__ Which is the missing fact? (A) 24 ÷ 3 = 8 (B) 24 ÷ 4 = 6 (C) 24 + 3 = 27 (D) 24 – 4 = 20
8. Peter went to watch a movie at a cinema. The movie started at 11:45 a.m. and lasted 1 h 45 min. Choose the clock face that correctly shows the time at which the movie ended.
(A)
(B)
(C)
(D)
9. There are 10 children sitting in a row. Ali is the second child from the left while Devi is the second child from the right. How many children are sitting in between
Ali and Devi? (A) 4
(B) 6
(C) 7
(D) 8
10. Kirti had a square page of stamps. She used some of the stamps from the centre of the page. The picture shows the stamps Kirti has left. How much area of the
page of stamps did Kirti use? (A) 6 square units (B) 9 square units (C) 12 square units (D) 16 square units
11. In the ading figure how many different paths can be travelled from point A to point D by visiting a point only once?
(A) 2
(B) 3
(C) 4
(D) 5
12. Johny used the rule "double the number" to create the pattern given below.
3, 6, 12, 24, ____
Which pair of numbers is part of the pattern?
(A) 36, 72
(B) 48, 72
(C) 96, 144
13. The given table shows the possible food
choices for lunch. How many different
lunches can be made that include 1 type
(D) 96, 192
Lunch Choices Soup Sandwich Salad Chicken Ham Vegetable Tomato Turkey Fruit
of soup, 1 type of sandwich and 1 type of salad?
(A) 2
(B) 3
(C) 6
(D) 8
4
5th IMO - 2011
14. Look at the puzzle. Which piece completes the puzzle?
(A)
(B)
(C)
(D)
15. Letters of a word have been jumbled up. You have to construct the word. Each letter has been numbered and is followed by four options. Choose the option which gives
the correct order of the letters as indicated by the numbers to form a word. N I W E T R 1 2 3 4 5 6 (A) 4, 5, 1, 3, 2, 6 (B) 1, 4, 5, 6, 3, 2 (C) 3, 2, 1, 5, 4, 6 (D) 1, 2, 3, 4, 5, 6
16. Which of the figures below has the line of symmetry drawn correctly ?.
(A)
(B)
17. Find the odd one out. (A) 15 (B) 21
(C)
(C) 27
(D)
(D) 31
18. Rohit is incharge of feeding breakfast to the animals on his farm. He feeds them 4 oats every morning. If Rohit has 16 oats left after feeding them on Sunday, what is the last day he will most likely have oats for the animals? (A) Wednesday (B) Thursday (C) Friday (D) Saturday 19. Jackie's mom baked cookies. Jackie wants to share the cookies equally with five friends. What information is needed to determine how many cookies each person
could get? (A) The kind of cookies. (C) The number of cookies baked.
(B) The size of the cookies. (D) The time it took to bake the cookies.
20. Riya asked the students in her class if they have any pets. Her results are shown below.
• 4 students have cats. • 8 students have fish. • 5 students have parrots. • 12 students have dogs. • No student has a frog.
Based on the above information, which statement is most likely true? (A) Cats are better pets than Fish. (B) Fish are better pets than Dogs. (C) Frogs are the most popular pet. (D) Frogs are the least popular pet.
Section II : Mathematical reasoning 21. What is the numeric form of the number given below ? ‘‘One hundred four thousand, one hundred three’’ (A) 1,413 (B) 14,103 (C) 104,103 (D) 104,113
5
5th IMO - 2011 22. Which figure has only one base and one vertex?
(A)
(B)
(C)
(D)
23. Jay arranged 48 books in 4 equal piles to find the quotient of 48 ÷ 4. How can
Jay use this method to find the quotient of 189 ÷ 9? (A) Put 189 books in 4 equal piles. (B) Put 189 books in 9 equal piles. (C) Add 189 to 48 books. Put them in 4 piles. (D) Add 189 to 48 books. Put them in 9 piles.
24. Look at the calendar. What best describes the dates that are on Saturdays?
(A) Multiples of 2
(B) Multiples of 3
(C) Multiples of 4
(D) Multiples of 7
S 1 8 15 22 29
M 2 9 16 23 30
T 3 10 17 24 31
W 4 11 18 25
T 5 12 19 26
F 6 13 20 27
S 7 14 21 28
25. Sara used cutouts of two triangles to make the figures shown below.
Which of the following (A) Both figures have the (B) Both figures have the (C) Both figures have the (D) Both figures have the
statements is true about the figures? same area. same perimeter. same number of sides. same number of vertices.
26. Look at the diagram of Shreya's yard. Which expression can Shreya use to find the perimeter of her yard?
(A) (4 × 4) + (2 × 8)
(B) (4 × 8) + (2 × 8)
(C) (4 + 4) + (2 + 8)
(D) (4 × 8) + (2 × 4)
4m
27. Sandy solved the ading problem in her math class.
What is another way that (A) Sandy can determine 78 (B) Sandy can determine 70 (C) Sandy can determine 78 (D) Sandy can determine 70
8m
4m
Sandy could solve the problem? × 10, then add that to 78 × 5. × 10, then add that to 8 × 5. × 10, then add that to 5 × 10. × 10, then add that to 15 × 10.
8m
78 ×15 390 +780 1170
28. Look at the given figure. Which fraction represents the
shaded part of the figure? (A) 3/8 (C) 5/8
(B) 3/5 (D) 5/3
29. What is the solution to the given expression ? 3 × 10 + (9 × 2) = (A) 48 (B) 78 (C) 84
(D) 114
4m 4m
6
5th IMO - 2011
30. What is the area of the shaded figure?
(A) 20 square units
(B) 22 square units
(C) 26 square units
(D) 28 square units
31. Which list shows all the prime numbers between 0 and 22? (A) 1,3,5,7,11,13,19 (B) 2,3,5,7,11,13,17,19 (C) 2,4,6,8,10,12,14,16,18,20,21 (D) 1,2,4,6,8,9,10,12,14,15,16,18,20,21 32. Which figure appears to have exactly two perpendicular sides?
(A)
(B)
(C)
(D)
33. Multiply the smallest 3-digit number formed using the digits 4, 2 and 5 by 8. (A) 4336 (B) 3400 (C) 2032 (D) 1960 34. The widths of two skateboards are shown in the table. Which number sentence correctly compares the widths of these two skateboards?
1 (A) 8.125 < 8 8
(B) 8.125 = 8 1 8
(C) 8.125 > 8 1 8
(D) None of these
Skateboard Widths Skateboard Width in Inches X 8.125 Y 1 8 8
35. Which item is the heaviest?
(A)
1 kg 100 g
(B)
1090 g
(C)
1400 g
(D)
1390 g
36. Which of the following figures can be made by folding the ading
three-dimensional net along the dashed line segments?
(A)
37. Subtract : 2.38 − 1
(A) 0.48
(B)
9 = 100 (B) 1.29
(C)
(C) 3.47
38. Danish drew an angle as shown here. Sarah drew an angle that was twice the measure of Danish's angle. What was
the measure of Sarah's angle? (A) 20° (C) 80°
(B) 70° (D) 60°
(D)
(D) 0.29
7
5th IMO - 2011 39. What is the missing fraction? 3 4
(A) 3/8
(B) 5/8
=
3 8 (C) 6/8
(D) 7/8
40. Each ading model is shaded to represent a decimal number. Which number sentence correctly compares
these decimal numbers? (A) 0.49 < 0.6 (B) 0.49 = 0.6 (C) 0.49 > 0.6 (D) None of these
Section III : Everyday Mathematics 41. Garima measures a bean plant at the end of every week. At the end of week 1, the plant is 4 inches tall. It grows 1/2 inch each week for 5 more weeks. How tall is Garima’s bean plant at the end of week 5?
(A) 5 inches
(B) 5 1 inches 2
(C) 6 inches
(D) 6
1 inches 2
42. Jay is 86 cm tall. His father is twice as tall as Jay. How tall is Jay’s mother if she
is 18 cm shorter than his father? (A) 1 m 54 cm (B) 1 m 66 cm
(C) 1 m 72 cm
(D) 1 m 90 cm
43. The information about Richa's favourite book is listed below: • There are 364 pages. • There are 14 chapters. • Each chapter has the same number of pages. How many pages are there in each chapter of this book? (A) 26 (B) 27 (C) 28 (D) 29 44. Farah and her friends are baking cookies for a school function. The recipe they are using states that they need 3/4 cups of sugar for every 3 dozen cookies they
make. If they make 7 dozen cookies, about how much sugar will they need? (A) Approximately 1 cup (B) Approximately 2 cups (C) Approximately 4 cups (D) Approximately 7 cups
45. Anuj made a chart showing how much time he spends on homework in one week. Based on the information in the chart, which statement is true? (A) Anuj has no homework on Monday. (B) Anuj spends the most time on homework on Friday. (C) Anuj spends the least amount of time on homework on Wednesday. (D) Anuj spends more time on homework on Tuesday than
Time Spent on Homework Day Minutes Monday 20 Tuesday 45 Wednesday 45 Thursday 30 Friday 30 on Thursday.
8
5th IMO - 2011
46. Nidhi is going to make bracelets to sell for a function. She bought 8 metres of yarn. She wants to cut it into pieces that are 16 centimetres long for each bracelet.
How many bracelets can Nidhi make? (A) 2 (B) 6
(C) 50
(D) 128
47. Ritesh helps his teacher to out books 4 times in a day. How many times does
Ritesh help his teacher in 5 days? (A) 5 (B) 9
(C) 20
(D) 25
48. John has 45 stickers. Mary has 20 more stickers than John. How many stickers
must Mary give to John so that both of them have an equal number of stickers? (A) 5 (B) 10 (C) 25 (D) 55
49. There are 18 pupils in a group. There are 10 boys and the rest are girls. 7 pupils are wearing glasses. If 3 girls are wearing glasses, how many boys are not wearing
glasses? (A) 3
(B) 6
(C) 8
(D) 9
50. There were 1582 chicken eggs and 475 duck eggs in a basket. 128 chicken eggs
and duck eggs were broken. How many eggs were not broken? (A) 981 (B) 1929 (C) 2021 (D) None of these SPACE FOR ROUGH WORK
ANSWER KEYS 1st IMO (2007) 1. 8. 15. 22. 29.
(C) (E) (A) (A) (A)
2. 9. 16. 23. 30.
(B) (B) (C) (D) (A)
3. 10. 17. 24.
(C) (B) (A) (C)
4. 11. 18. 25.
(D) (C) (D) (A)
5. 12. 19. 26.
(C) (A) (A) (C)
6. 13. 20. 27.
(D) (C) (B) (D)
7. 14. 21. 28.
(A) (D) (D) (D)
(C) (D) (B) (B) (C) (A) (A)
6. 13. 20. 27. 34. 41. 48.
(C) (B) (A) (D) (B) (A) (A)
7. 14. 21. 28. 35. 42. 49.
(A) (D) (A) (B) (A) (B) (C)
(C) (C) (D) (D) (C) (C) (B)
6. 13. 20. 27. 34. 41. 48.
(D) (C) (D) (A) (A) (A) (C)
7. 14. 21. 28. 35. 42. 49.
(B) (D) (D) (B) (B) (D) (B)
(A) (D) (B) (D) (D) (C) (A)
6. 13. 20. 27. 34. 41. 48.
(D) (B) (D) (A) (D) (C) (D)
7. 14. 21. 28. 35. 42. 49.
(C) (C) (A) (D) (B) (B) (B)
(B) (D) (C) (A) (D) (A) (C)
6. 13. 20. 27. 34. 41. 48.
(D) (D) (D) (A) (B) (C) (B)
7. 14. 21. 28. 35. 42. 49.
(A) (B) (C) (A) (C) (A) (B)
2 nd IMO (2008) 1. 8. 15. 22. 29. 36. 43. 50.
(B) (C) (B) (A) (A) (B) (B) (C)
2. 9. 16. 23. 30. 37. 44.
(B) (B) (B) (A) (C) (D) (D)
3. 10. 17. 24. 31. 38. 45.
(D) (A) (D) (C) (C) (C) (C)
4. 11. 18. 25. 32. 39. 46.
(C) (D) (A) (D) (C) (C) (C)
5. 12. 19. 26. 33. 40. 47.
3 rd IMO (2009) 1. 8. 15. 22. 29. 36. 43. 50.
(C) (C) (D) (C) (D) (D) (B) (B)
2. 9. 16. 23. 30. 37. 44.
(C) (A) (C) (A) (D) (C) (A)
3. 10. 17. 24. 31. 38. 45.
(C) (A) (C) (D) (B) (D) (A)
4. 11. 18. 25. 32. 39. 46.
(D) (B) (C) (B) (C) (D) (C)
5. 12. 19. 26. 33. 40. 47.
4 th IMO (2010) 1. 8. 15. 22. 29. 36. 43. 50.
(A) (B) (B) (C) (A) (B) (C) (C)
2. 9. 16. 23. 30. 37. 44.
(B) (C) (B) (A) (B) (C) (C)
3. 10. 17. 24. 31. 38. 45.
(B) (B) (A) (B) (B) (C) (D)
4. 11. 18. 25. 32. 39. 46.
(A) (C) (A) (D) (B) (B) (D)
5. 12. 19. 26. 33. 40. 47.
5 th IMO (2011) 1. 8. 15. 22. 29. 36. 43. 50.
(B) (C) (C) (C) (A) (C) (A) (B)
2. 9. 16. 23. 30. 37. 44.
(A) (B) (C) (B) (C) (B) (B)
3. 10. 17. 24. 31. 38. 45.
(B) (B) (D) (D) (B) (C) (D)
4. 11. 18. 25. 32. 39. 46.
(D) (C) (B) (A) (D) (A) (C)
5. 12. 19. 26. 33. 40. 47.
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