Ncse 2013 Mathematics 1 49432

THE GOVERNMENT OF THE REPUBLIC OF TRINIDAD AND TOBAGO MII\ISTRY OF EDUCATION

NATIONAL CERTIFICATE OF SECONDARY BDUCATION 2OI3 (Level 1)

MATHEMATICS PAPER

TIME: L HOUR Student's Name:

School's Name:

School Code:

Student's Number:

I

30 MINUTES

INSTRUCTIONS Read the following instructions carefully

l.

This paper consisrs of forty (40) Multiple choice questions.

2.

You are required to answer ALL questions.

3'

Record your answers on the Multiple Choice answer sheets provided, by shading in the selected letter which corresponds to the question.

'4'

Fill in tlre following information on the Multiple Choice answer

sheet

using a2HBpencil only (if it has

not been cornpleted already):

- School's Name and ID - Student's Name - Student's Number -

5'

Date of Birth

If you must change your answet'

6. On the answer sheet, De NOII:

erase your first answer completely, and then shade your new answer.

- Write anything on the top and sides - Staple - Punch holes - Bend the corners

-

Tear

- Make any stray marks

7. 8.

If you have finished before time is called, go back and check your work. NO CALCULATORS are allowed.

5) Approximate the numb et 2413.98989, as shown on the calculator, to 4 significant

r) The value of the digit 6 in the numeral 3164 is

figures.

(A)

6

(B)

l0

(c)

60

(D)

600

?) 3145 converted to base

24t3.98989

l0

is

(A) 3140 (B) 1s70

(c)

84

(D)

8

(A) (B)

2413

(c)

24t3.e8e9

(D)

2414

2413.000000

3) How many Prime numbers lie between

0 and l0?

(A) (B)

4)

6) Margaret got an increase in salary from $l 50 per daY to $200 Per daY. The

s

4

percentage increase is

(c)

3

2

(A) (B)

20 %

(D)

(c)

33 %%

25

o/o

(D) 50 o/o

Which of the following is equalto

19-5-7+3? (A) (le - s) - (7+3) (B) le-(5-7+3) (c) le-(s-7)+3 (D) 19-(s+7)+3

7) The solution to the equation

x= 4x

5

= l4x -

15

is

(A) -2 (B) -l

(c)

I

(D)

2

1

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8)

9)

8x6 x zya

Simplify

12)

(2xy)4

lfm:2

(c) -4

(D)

(D) -8

xz

- ay -

fl:-

3, then m

*2n=

(A) -l (B) -2

(A) 4xty3 (B) Brtyt (C) 8x2

ax

and

bx + $y can be factorised as

l3) U

(A) (a+y)(b-x) (B)

T

O

- ),) (C) (a+b)(x-y) (a

b) (x

()::

(D) (a-x)(b-v) | 0)

lf

E = mc2, then what is the value of E

In the above diagram, the complement the set S is

whenm=4andc=5?

(A)

40

(B)

80

@),,(

(B) {8, l0}

(c) r0o (D)

of

(c) {r2, t4l

400

(D)

I I ) The sum of 2 positive whole numbers is l0 and their difference is 4. The numbers

I

are

4)

{8, 10, 12,l4l.

After a discount of 20 %o, Marjorie paid $ 180 for a dress. The original price of

(A) 5 ,5 (B) 4 ,6

the dress was

(A)

$ 144

(c)

3

(B)

$ 160

(D)

10,

(c)

$ 2oo

(D)

$22s

,7 14

3

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l7)

l5) Which of the following set of ordered pairs represents the function,

f(x): Y'+7 ? (A) { (l, 3) , (2,5) , (3,7) } (B) { (1, l) ,(2,4), (3,9) } (c) {(1,2),(2,5), (3, l0) } (D) {(1,2),(2,3), (3,4) }

l6)lf P: U,2,3,4,5,6)

Which diagram shown below is a likely of y = 2x - 1 ?

representation

(B)

+

and

Q: {2,4, 6, 8}, then which of tlie Venlt diagrams below represents the sets P and Q?

o.o

(A)

l8) The diagram below shows two parallel lines, L1 and L2, intersected by the straight line T.

(B)

(c)

Angles x and y are called

U

(A) alternate angles (B) co-interior angles (C) corresponding angles (D) vertically opposite angles (D)

II

4

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Oueslions 19 and 20 are based on the information oresented on lhe urrow diupram below.

22) ABCDE is a regular pentagon. A

The diagrarn below shows a relation between two sets A and B.

The size of each interior angle is

l9) The mapping shown in the r.elation above is

(A) one to one (B) one to many (C) nlany to one (D) many to many

(A)

95"

(B)

l0o.

(D)

I

(c) 108.

r0"

23)The diagrarn below shows a triangle PQR and its image P'Q'R' under a transformation.

20)ln the arrow diagram above, the image of 3 is equal to

(A) (B)

(c)

p q

r

(D) s

Which is the transformation used? What is the size of angle x in the diagram above?

(A) (B)

40o

(D)

70" 140.

(c)

50o

(A) (B) (C)

(D)

reflection in the x axis reflection in the y axis 90o clockwise rotation about the origin l80o clockwise rotation about the origin

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24)What are the co-ordinates of the image of the point (0, -l), under a reflection in the x-axis?

(A) (B)

26)

(0, r)

A

rectangular field measures 40m by 30m as shown in the diagram below. What is the length, in m, of the diagonal r.l?

(0, -1)

(c)

+40m

(1,0) (-1,0)

(D)

I

-__4

30m

25)In the diagram below, not drawn to scale.

J

(A) (B)

s0 70

(c)

r20

(D)

1200

27)The diagram shows the net of a square based pyramid.

Triangle PQR is an enlargement of triangle PST. If PS :4 cm and Sq: g cm, the scale factor is

(A) 8 (B) 4

(c)

3

(D) 2 The net is made up of a 6cm by 6cm square and four isosceles triangles with base 6cm and height 4cm.

What is the perimeter, in cm, of the net of the pyramid?

(A) (B)

(c)

(D)

40 68 80

I

t6

6

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28)

30)

8cm

2ocrn --

4cm

The area of the trapezium above is 20()cm2.

The height h,

(A) (B)

(c)

(D)

in

cm, of the trapezium is

s 8

What is the volume, in cm3, of the largest cube that can be cut from the above cuboid?

l0 t2

(A) 8 (B) 32

29)The diagram below shows a flowerbed in the shape of a sector of radius 2l m

(c)

64

(D)

72

and sector angle 120o.

What is the perimeter, in m, of the

flower bed

?

(A) 44 (B) 86

(c)

t62

(D)

462

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31) The table below shows how the

electricity bill is calculated by a colnpany.

Number of electricity units

Charge

Up to 400

25 cents per unit

More than 400

40 cents per unit

ln a household with a previous reading of 5400 units and a current reading of 6000 units, what will be the expected bill

(A) $ r50.00 (B) $ l80.oo (D)

$ 600.00

bank at 60/o per annum simple interest. The loan is to be repaid in 4 years. What

of each monthly installment Mr. Smith will be required to be the amount

pay?

(A) (B)

(c) (D)

$ 45.00

$ 180.00 $ 187.s0 $ 232'50

34) Ierry runs a distance of 3 km in 24 minutes. How long will he take to run kn, if he runs at the sarne rate?

in total?

$ 24o.oo

Mr. Smith borrows $9000.00 from the

will

used

(c)

33)

8

(A) 64 mins (B) 60 mins (C) 35 mins (D)

27 mins

32) John works 8 hours a day at a rate of $25.00 per hour. The overtime rate is doubled the normal rate. On a

particular

day, he works l5 hours. The overtime pay for that day is

(A) (B)

(c)

$ 200.00

$ 350.00 $ 37s.oo

35) The mean of the numbers 4 , x and 10. The value of x is

(A)

e

(c)

12

l4

is

(B) l0

(D)

l8

(D) $ 5s0.oo

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36) A bag contains colored balls.

37)

Criq

Ttrrnlg

ket

volleyhEll

Mark chooses a ball at random from the bag. What is the probability of Mark clroosing a blue ball?

(A)

The pie chart shows the favourite sport of students in a school. The fraction that prefers cricket is

2

5

(B) 1 2

(c) 1 5

(D) ?

(A)

I

(B)

1

(c)

3

(D)

2

8

I !4 3

9

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40) The line graph below shows the week's

Ouestions 38 und 39 are based on the inforntalion presenled in the Bar Granh

record of emergency calls made to Rapid Response Ambulance Services.

below. The diagram below represents a bar graph showing the number of cakes sold at a

Weekly Record of Emergency Calls

bakery from Monday to Friday of a week. 2s |! u20 IJ

5ls o0

910 g

lrl

Es ll rrl

o, I

d z0

i

fulonday Tuesday Wednesday Thursday

tJ ---

Day of the Week

0

z llsnda!

The correct weekly average for the number of calls made is 19. Tuclcjalr ''Vrdncadrt

lhursda.'

It

was discovered that the wrong number of calls was recorded on the graph on Friday. What was the correct number of calls

38) On which two consecutive days was there a difference

of5 cakes

made to Rapid Response Ambulance

sold?

Services on Friday?

(A) Mon and Tue (B) Tue and Wed (C) Wed and Thu (D) Thu and Fri

(A) l0 (B) rs

39) What is the difference between the most cakes sold on a dav and the least cakes

(c)

20

(D)

2s

sold on a day?

(A)

20

(c)

rs r0

(B)

(D) 5

END OF TEST

l0

Friday