CXC CSEC Mathematics 2016 January P1

(1)

1. What percentage of 40 is 8?

(A)

s

(B)

20

(c)

32

(D)

1s0

lf

4.3 x 0.37

:

I .591, then 0.43 x 370 is

7. The square root

of

181 lies between

(A)

(B)

(c)

(D) 13 and 14 45 and 46 12 and 13 l1' and 13

0.0346 written in standard form is

(A)

3.46

x

102

(B)

3.46

x

7Q

(C)

3.46

x

10-'

(D)

3.46

x

1Q-2

lf

$350

is

shared

in

the

ratio

2:5, the

SMALLER

share is

(A)

$2s0

(B) $l7s

11.

(c)

$loo

(D)

$

70

99

x

101 has the same value as

(A)

(99

x

100)

+

I

(B)

(99

x

100)

-

(99

x

1)

(c)

(99

x

100) + (99

x

l)

(D)

(99

x

100) (99

x

l)

What is the value

of

the digit

2 in

the

number

48.621? /

(A)

100 (B)

tf

.,67:2.86,

what is

(A)

1.43

x l0

(B)

2.86

x

10

(C)

1.43

x

102

(D)

2.86

x

102 8. 2.

(A)

(B)

(c)

(D)

(A)

(B)

(c)

(D)

il0

lll

I

100

l

ll0

1.591 15.91 159.1 1591.0 3.

1l.l

:

0.01

:

9.

(c)

(D) 4. 2 10 2 200 10.

lf P:

t2,3,5,7),

Q:

t2,3,

6)

and

S

:

_{2,4,

5}

ThenP

_{^ I ^}

S=

(A)

{2\

(B)

{2,3}

(c)

{2,3,5}

(D)

{2,3,4,5,6,7\

6.

There are 40 students in a

class'

Girls

make up 60Yo of the class. 25Yo

of

the

girls wear glasses.

How

many

girls

in the class wear glasses?

(A)

6

(B)

8

(c)

l0

(D)

ls

8.2 x102 ? 'o 123401 O/JAN UARY/F 20 I 6

(2)

12.

13.

Which

of

the

following

sets is defined

by

_{xe

Z:-1<x<3\?

(A)

_{0,1,2)

(B)

_{0,

1

,2,3}

(c)

_{-1,

0,

l,

2}

(D)

_{-l

, 0,

1,2,3)

Ifthe

universal set

U:

_{{1,2,3,4,5,6)}

and

H:

_{3,4,

6\,

then

I/'

:

(A)

{3,4,6\

(B)

{1,3,5}

(c)

{2,4,6)

(D)

{1,2,5)

All

students

in a

class

play

Scrabble

or

Checkers

or

both.

If

36%

of

the students play Scrabble

only

and 48o/o

of

the

students

play

Checkers onlY, what percentage of students play BOTH

games?

(A)

12

(B)

16

(c)

84

(D)

88

If

EC $2.50 is equivalent to US $1.00, then EC S 20.00 in US dollars is

(A)

s

s.oo

(B)

$

8.00

(c)

s5o.0o

(D)

s80.00

The simple interest on $600

for

/ years

at

5

per cent per annum is

$120.

The value of r is ^ 100

xl20

(A)

n

uoo

*

-

600 x5

(B)

n

to*t,

^100x5x120

(c)oeoo

600x5x120

A television set costs $350 cash. When bought

on

hire-purchase,

a

deposit

of

$35 is required, followed by 12 monthly payments

of

$30.

How much is saved

by paying cash?

(A)

$10

(B)

$2s

(c)

$40

(D)

$4s

Tom bought a pen for $30 and sold it to

gain20%o on his cost price. How much money did he gain?

(A)

$6

(B)

$20

(c)

$36

(D)

s40

A

dinner at a restaurant was advertised at $60 plus l8%o

tax.

The TOTAL

bill

for this dinner was

(A)

$60.00

(B)

$70.80

(c)

$78.00

(D)

$81 .60

A

store

offers

a

discount

of

l0%

to customers who spend more than $20.

If

a customer's total

bill

was $80, what

will

he actuallY _PaY?

(A)

$60

(B)

$70

(c)

$72

(D)

$74

If the simple interest on $800 for 3 years

is $60, what is the rate

of

interest per annum?

(A)

zvo

(B)

2.5vo

(c)

4vo

(D)

so 17. 18. 14. 19. 15. 20. 16. 21. (D) r00

0 r2340I O/JANUARY/F 20I6

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22. A

man's annuar salary is $45

000. His 27.

If

3

+

2 :

r,the

varue of

x

is

tax free allowances total $13

000. He

x

has to pay a tax

of

20o/o on his taxable

income'

(A) -l

The tax payable

is

_I

(B) :

(A) $2600

)

(B) $6400

|

(c)

$

e

000 (c) :

(D)

$11

600

2

(D)

s

23. The product

of a

number

p

and

its

reciprocal may be written

as

_Zg.

_lf

_a

:

_5,_b

:2,

_c

:4,

_then_6ab

_-2c

:

(A) p'*L

(A)

5

p

(B)

s2

(B) p'x-p

(c)

60

(D)

628

(c)

p,

!

p

(D)px-p29'rf5(v-2)-39+4):0,thenvis

(A)

-1

24. (x

_-2)

(3x

+

41:

(B)

3

(c)

7

(A)

3x2

-

lOx

+8

(D)

11

(B)

3x2

+ l0r

*

8

(C)

3x2

_-2x

-

8

(D)

3x2 _ 6x

_

g

Item 30 refers to the following diagram.

2s.

In simplified

form

ao' x.,,a"

,,

aq

(A)

a nnq

(B)

tn+

n aq (C) am j n tq (D) ail r il-q Rectangle

(x-4)

cm

30.

The area of the rectangle, in cm2,

is

x2. The equation that may be used to find

the value of

x

is

(A)

x2 = 2(x

_-

4)

(B)

x':(x-Z)@-a)

(C)

x2:2(x-Q0--2)

(D)

x':(x-4)(x+2)

2cm n

26. If : :

Z1,then

p:

J

(A)

20-s

(B)

20+s

(C)

20+5

(D)

20x5

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34.

31.

35.

36.

The sum of two numbers, x andY, is 18, and their difference is 14.

Which pair ofequations below describes

the above statement?

(A)

I

*

y:32

x-y:

4

(B)

xy:

| 8

x-y:14

(C) a*y:

18

x-y:14

(D) fu6 +

2y:

18 2x

_-2y

=

14

Item 32 refers to the following figure.

32.

In the circle above, with

area is

20

cm2. The area sector AOB, in cm2, is centre O, the

of

the minor

(A)

60 *

20 360

(B)

t2o

_,20

360

(C)

60 t

20x20

360

(D)

120 x 20 x 20 360

33. The

volume

of

a cube whose edge is 6 cm long is

(A)

l8

cm3

(B)

36 cm3

(C)

'/2

_cm3

(D)

216 cm3 0 l 2340 I O/JANUARY /F 201 6

If

it took a speed-boat

t

hours to travel

a

distance

of

I

080 km, what was its

average speed, in kmh-'?

(A) ,

12

(B)

102

(c)

120

(D)

1200

In a rectangular garden plot, 15 m long

and 12 m wide, an area of 80 m2 is used

for a vegetable garden. What area of the

plot is left?

(A)

26 mz

(B)

100 m'?

(C)

134 m2

(D)

260 m2

Fifty

guests each had

2

glasses

of

champagne.

Each glass

held

150 millilitres. How

many

litres

of

champagne were used?

(A)

0.1-s

(B)

l.s

(c)

15

(D)

1s0

An

aircraft

leaves

A

at

16:00 hrs and

arrives at

B at

l9:30

hrs, travelling at an average speed of 550 kilometres per

hour.

I

and B are in the same time zone. The distance from A to B, in kilometres,

is

(A)

e07.5

(B)

962.5

(c)

l8l5

(D)

tezs

A square has the same area as a rectang[e

with sides of length 9 centimetres and

l6

centimetres. What is the length

of

the

side of the square?

(A)

9 cm

(B)

12 cm

(C)

12.5 cm

(D)

75 cm

GO ON TO THE NEXT PAGE Jt.

(5)

39.

The

area

of

a

sector

of

a

circle

18

n

cm2.

The radius

of

the circle

6

cm.

T'he angle in the sector is

(A)

30"

(B)

60"

(c)

90"

(D)

180"

Item 40 refers to the information below.

The following

scores

were

obtained

by

eleven footballers

in

a

goal-shoot competition:

5,3,

6,

8,7, 8,3,

I 1, 6, 3, 3

The modal score is

(A)

3

(B)

6

(c)

8

(D)

11 IS ts 40.

Items

4l-42

refer to the

following

chart.

The bar chart shows the number of students who bought different numbers

of

books.

l4

12 0

E10

_q)

E8

0

E6

j

t4

2 0 42.

4t.

How

many

students 4 books?

(A)

8

(B)

e

(c)

l0

(D)

t4

bought

exactly What is the mode of the distribution?

(A)

s

(B)

7

(c)

8

(D)

t4

No. ofbooks bought

0t2340 r O/JANUARY/F 201 6

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43.

In

a class

of

20 students, 12 are girls' What

is

the probability that zi student

chosen at random is a boY?

Item 46 refers to the arrow diagram below.

x

--->

|

The arrow diagram above describes the relation

(A)

x

is less than _Y

(B)

x

is greater than Y

(C)

x

is a multiPle

ofY

(D)

x

is a factor

ofY

Which

of

the following line

graPhs

represents

{x:-2

<x

<4

)

2

(A)#

-3-2-r 0 I 2

3

4

5

(B)#

-3-2-r 0 1 2

3

4

5

(c)#

-3-2-l 0 I 2 3 4

s \UJ ffi

-3-2-l 0 I 2

3

4

s

Which

of

the

following

represents the equation of a straight line?

(A) u:

4

(B) |

+

3:2x

(C) y*4:x2

(D) y:x2+2x-5

(A) (B)

(c)

(D)

1

2 2

;

₎

2

;

₎

a J 5 46.

Item 44 refers to the

following

pie chart.

The pie chart

above shows

how

100

children spend

their

leisure

time.

The number of children who use their leisure time for games is aPProximatelY

(A)

25

(B)

40

(c)

s0

(D)

7s

Tony obtained the

following

scores in a

game:

73

84

56

989

The median score is

(A)

6

(B)

7

(c)

8

(D)

e 47. 44. 48. 45. Reading 0 I 2340 r O/JANUARY /F 20 | 6

(7)

If

h(x)

(A)

(B)

_

3x-2

5

-4.

-16

Item 52 refers to the following diagram. then

h(-6):

Which ofthe following sets is represented

by

the

function

_1\

, -

x2

+

3

where :r e _{{0, 1,2,31}?

(A)

{(0, 3), (1, 4),

(2,7), (3,

l2)}

(B)

{(0, 3), (1, 5),

(2,7),

(3,

9)}

(c)

{(0, 3), (1, 4), (2, 5), (3, 6)}

(D)

{(0,3), (1, 1), (2,4),

(3,9)}

What is the gradient of the straight iine

2y=-3x-8?

(A)

2

(B)

3

--1

(c)

--2

(D)

_-3

In the diagram PQ and RS are parallel. Which of the following BEST describes

the relation between

p

and q?

(A)

p=q

(B)

p<q

(C)

p

*

q:90"

(D)

p

*

q:180o

The quadri lateral whose diagonals bisect

at right angles is a

(A)

rhombus

(B)

rectangle

(C)

trapezium

(D)

parallelogram

Item 54 refers to the diagram below.

If

O is the centre of the circle,

then./

is

(A)

25"

(B)

80o

(c)

90o

(D)

100" 49. 5

l6

=

)

4

(c)

(D) 50. 52. 53. 51. 54. 0123401 O/JANUARY/F 20 1 6

(8)

represents the path of the ship? (A) (B)

(c)

(B)

(c)

(D) (D)

shows a reflection in the x axis?

lv

I

N

/N

0 l 2340 l O/JANUARY/F 201 6

GO ON TO THE NEXT PAGE /Y

A

I I (A)

lc

I

6kt"l

8km

(9)

X

l?m

Y

The diagram, not drawn to scale, shows the angle ofdepression ofa point X from

Z

is

35"

.

If

X

is

12 metres from

Y

the

heightYZ,in

metres, is

(A)

12 cos 35o

(B)

12 sin 35o

(C)

12 tan 35"

(D)

12 cos 55o

Item 58 refers to the

following

pair

of

similar triangles.

In the right-angled triangle above, which

trigonometric ratio is equal

_'8

,o

_lt

(A)

sin x

(B)

tan

y

(C)

cos.r

(D)

tan x

Item 60 refers to the following diagram,

not drawn to

scale, which shows two right-angled triang les.

8cm

The length of the side x, is

(A)

..,frs

"*

(B)

9 cm

(C)

l0

cm

(D)

_Jtx

_"*

s9. 57.

/1"

A

al

60

M 3cm

N

58.

The length of

MO,

in centimetres, is

(A)

7

(B)

6

(c)

3.s

(D)

3

END OF

TEST

IF YOU

FINISH

BEFORE

TIME

IS

CALLBD,

CHECK YOUR

WORK

ON

THIS

TBST.

0 I 2340 I 0/JANUARY lF 20 1 6