THE GOVERNMENT OF THE REPUBLIC OF TRINIDAD AND TOBAGO

MINISTRY OF EDUCATION

NATIONAL CERTIFICATE OF SECONDARY

EDUCATION 2015
(Level 1)
MATHEMATICS
PAPER I
TIME: 90 MINUTES

Student’s Name ______________________________________________

School’s Name ______________________________________________

School’s ID

Student's Number
 INSTRUCTIONS

Read the following instructions carefully.

1. This paper consists 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 the following information on the Multiple Choice answer sheet using a 2HB pencil only (if it has
not been completed already):
- School’s Name and ID
- Student’s Name
- Student’s Number
- Date of Birth
5. If you must change your answer, erase your first answer completely, and then shade your new answer.
6. On the answer sheet, DO NOT:
- Write anything on the top and sides
- Staple
- Punch holes
- Bend the corners
- Tear
- Make any stray marks
7. If you have finished before time is called, go back and check your work.
8. NO CALCULATORS are allowed.

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– Paper 1 1 NCSE Mathematics 2015 – Paper 1
1) What is the smallest three digit number that can 5) The cost price of a dress is $640.00. At a sale, a
be formed using all of the digits 7, 9 and 4. 20% discount is given. What is the selling price
(A) 479 of the dress?
(B) 497 (A) $ 128.00
(C) 749 (B) $ 512.00
(D) 974 (C) $ 660.00
(D) $ 768.00

2) How many factors are there in 18?

(A) 3 6) Aleem borrows $9000.00 from the bank at 6%
(B) 4 per annum simple interest. The loan is to be
repaid in 4 years. What will be the amount of
(C) 5
each monthly installment Aleem will be
(D) 6 required to pay?

(A) $ 45.00
3) Which of the following numbers is prime? (B) $ 180.00
(A) 7 (C) $ 187.50
(B) 9
(D) $ 232.50
(C) 15
(D) 21
7) Which expression is equal to 12 x ?

(A) 4 x + 4 x – 4 x
4) Calculate .
(B) 24 x 2
(A) 10
(C) 3 x × 4 x
(B) 20
(D) 15 x – 3
(C) 50

(D) 100 8) If 4 x + 3 = 15, then x is equal to

(A) 1

(B) 3

(C) 8

(D) 12

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2015 – Paper 1
9) Which expression is a factor of ax – ay? 13) The scores obtained in a spelling competition
are 5, 8, 8, 6, 9, 4, 4, 7, 9, 9, 7 and 8.
(A) a
What is the mean score?
(B) a x
(A) 7
(C) a y
(B) 8
(D) a x y
(C) 9

10) Given a = 2 and b = 3, what is (ab) ?

2 (D) 12

(A) 12 14) What is the middle value of a set of numbers,

when arranged in order of magnitude?
(B) 18
(A) mean
(C) 25
(B) median
(D) 36
(C) mode

(D) range
2 2
11) Factorize m – n .

(A) m ( m – n ) 15) The table shows the distribution of grades for

40 students in a Politics class. Passing grades
2
(B) ( m – n ) are A, B and C.

(C) ( m – n ) ( m + n ) Grade A B C D E
2 2 Number
(D) m ( 1 – n ) 7 6 12 8 7
of Students

12) The length and width of a rectangular field What percent of students failed the course?
are in the ratio 5 : 3. If the width of the field (A) 15 %
is 45 m, what is its length?
(B) 25 %
(A) 27 m
(C) 37.5 %
(B) 53 m
(D) 62.5 %
(C) 60 m

(D) 75 m

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2015 – Paper 1 3 NCSE Mathematics 2015 – Paper 1
16) The bar graph shows the number of people 18) The pie chart shows how the 600 students of
who visited the Botanical Gardens. Valley View High School arrive at school.

Visitors to the Botanical Gardens

100 Car
80
No. of Visitors

60 Bus
Walk 120°
40
20
0
May June July August
Month
How many students walk to school?
How many more people visited the Botanical (A) 100
Gardens in July than in May? (B) 120
(C) 200
(A) 20
(D) 300
(B) 60
(C) 80
19) In a bag of marbles is red, is yellow,
(D) 100
is green and is blue. If a marble is
drawn from the bag at random, which colour
17) George has scores of 70, 75, and 80 on is it most likely to be?
three Mathematics tests. What score
must he obtain on the next test to have a (A) blue
mean score of exactly 80 for the four (B) green
tests? (C) red
(D) yellow
(A) 75
(B) 80 20) Which of the following quadrilaterals
(C) 85 possesses two axes of symmetry?
(D) 95 (A) kite
(B) parallelogram
(C) rhombus
(D) trapezium

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NCSE Mathematics 2015 – Paper 1 4 NCSE Mathematics 2015 – Paper 1
21) The net of a square-based pyramid is shown. 24) The length of one side of a cube is 5 cm.
Calculate the surface area of the cube.

(A) 25 cm2
(B) 60 cm2
(C) 125 cm2
(D) 150 cm2

When the net above is folded, the solid formed

will contain how many edges?
25)
(A) 5
(B) 8
(C) 12
(D) 16

22) Which solid does not possess a curved surface?

What is the volume of the rectangular
(A) cone box whose length is 5 cm, width is 4 cm
(B) cuboid and height is 2 cm?

(C) cylinder (A) 10 cm3

(D) sphere (B) 11 cm3
(C) 22 cm3
23)
6 cm (D) 40 cm3

3
26) The volume of a can is 1540 cm . If the
4cm
radius is 7 cm, calculate the height. (Use
volume of can = r2 h where ).
10 cm
(A) 10 m
Calculate the area of the trapezium.
(B) 70 m
(A) 16 cm2
(C) 220 m
(B) 20 cm2
(D) 343 m
2
(C) 32 cm
(D) 64 cm2

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2015 – Paper 1 5 NCSE Mathematics 2015 – Paper 1
27) The diagram below shows a flower bed in 29) A
the shape of a sector.

4 5

B 3 C
120 21 m
In this triangle, tan C =

What is the area of the flower bed with (A)

radius 21 m and sector angle 120 ?
2 (B)
(A) 88 m
2 (C)
(B) 132 m
2 (D)
(C) 174 m
2
(D) 462 m

30)
28) The diagram below shows two parallel lines,
L1 and L2, being intersected by the straight
line T.

T L1
a b
c I II
d
f L2
e g
h

What type of angles are e and g called? III IV

(A) alternate
(B) co-interior Which of the solids are prisms?
(C) corresponding (A) I and II
(D) vertically opposite (B) I and IV
(C) II and III
(D) III and IV

NCSE Mathematics 2015 – Paper 1 6 NCSE Mathematics 2015 – Paper 1

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31) A 33) The diagram shows a straight line, l.

y
l
29 units
5

B 21 units C
x
–5

What is the height AB (in units) of the

triangle ABC (not drawn to scale)? Which of the following points will lie below
the line l ?
(A)
(A) (–6,6)
(B)
(B) (–6,0)
(C) (C) (0,6)
(D) (D) (6,–6)

34) The arrow diagram represents a relation

32) Which of the following are most likely to be between x and y. What is the missing number
the coordinates of point P? in the set y?

x y

1 2
3 10
5 26
7 ?

(A) (8,8)
(A) 34
(B) ( 8 , 12 )
(B) 42
(C) (12 , 8 )
(C) 49
(D) (12 , 12 )
(D) 50

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– Paper 1 7 NCSE Mathematics 2015 – Paper 1
35) What is the range of the relation
{ ( –1 , 1 ) , ( 0 , 0 ) , ( 1 , 1 ) } ? 39) U
P Q
(A) { –1 , 0}
(B) { –1 , 0 , 1 }
(C) { –1 , 1 }
(D) { 0 , 1} In this diagram, what does the unshaded
region represent?
36) Which of the following is not equal to the set (A) PQ
{ 1 , 2 , 3 }?
(B) ( P  Q )'
(A) {1} {2} {3} (C) PQ
(B) {1, 2} {2, 3} (D) ( P  Q )'

(C) {1, 2, 3} {1, 2, 4}

(D) {1, 2, 3} {1, 2, 3, 4} 40) U
x T F
37) Given that A = { odd numbers from 1 to x
10 } and B = { prime numbers from 1 to 15 5 10
10 }, what is A B ? x
20
(A) { 1, 2, 3, 5, 7, 9 } 5x
(B) { 1, 2, 3, 5, 7 }
In the Venn diagram, U represents students
(C) { 2, 3, 5, 7, 9 } in a class. T is the set of students who play
(D) { 2, 3, 5, 7 } tennis and F is the set of students who play
football.

38) If X = { b , d , f } and Y = { a, b , f , d, c } How many students play tennis only?

then which of the following statements is
(A) 5
true?
(B) 10
(A ) X = Y
(C) 15
(B) X  Y
(D) 20
(C) Y  X
(D) X ∩ Y = Ø
END OF TEST

NCSE Mathematics 2015 – Paper 1 8