CSEC Mathematics June 2016 P1
1.
In standard form 0.0325 is written
(A) (B)
(c) (D)
2.
as
(c) (D)
The EXACT value
of
(A)
0.207
lDa
(B)
0.0207
10-'
(c)
l0z
(D)
20.7000 20 700
7.
3.3 x 2.5 + J.J x ).J
5 yo 20 %
(A) (B)
32yo
(c)
t3.25
1s0 %
(D)
22.50
540 beads are shared in the ratio 4:5. The LARGER share of beads is
(A) (B)
6.
l0-3
What percentage of 40 is 8?
(A) (B) (c) (D) 3
3.25 x 3.25 x 3.25 x 3.25 x
-3-
8.
I
000 "
:
8.2s
9.00
What is the value of the digit 2 in the number 48.6212 (A)
60
37.26+1.8
2 100
240 300 432
(B)
') 10
4.
(c)
2
(D)
200
18.96 x 2.03 correct to two significant figures equals
(A) (B)
38
(c)
38.1 0
(D)
0.38 9
The LARGEST prime number that is less than 100 is
380
(A) (B) 5-
9l
0.45 written as a common fraction, in its
(c)
93 97
simplest form, is
(D)
99
o
(A)
'
2A
(B)
4
If
3n is an odd number, which of the
following is an even number?
=)
(A) (B)
3n-l
9
(c)
10
(D)
3n-2 Jn*2n
(c) (D)
10
3n+2
: 4
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0r2340t08 2016
-4Item
11 refers to the
following
information.
.
15.
TT$15.00 in US dollars is
P: {prime numbers} g: {odd numbers} R: {even numbers} 11.
t2
(A) (B)
(c) (D)
Which of the following sets is empty?
(c)
PNR PwQ PNQ
(D)
8nR
(A) (B)
The set {-x: 6 <
r
16.
(D)
{z,
g, g,
The cost price of
(A) (B)
(c)
I is an integer} is
(A) {6,t,t,9} (B) {6,7,8,9, t}l
{t,\el
(D) 17.
If
(A) (B)
t0}
(D)
Q:
{a, b, c} how many subsets can be obtained from the set Q?
(A) (B)
2+3 )xa
(c)
32
(D)
23
18.
$
1
850.00.
$1e42.s0 $1845.00
sl7s7.so $1350.00
$6 $20 $36 $40
A dinner at a restaurant was advertised at $60 plus l8o tax. The total bill for this (A) (B)
(c) (D)
$60.00 $70.80 $78.00 $81.60
{P, Q, r}
u= {p,q}
14.
refrigerator is
dinner was
Item 14 refers to the following information.
M:
a
Tomboughtapen for$30 and sold itto gain 20Yo on his cost price. How much money did he gain?
(c) t3
$0.2s $0.40 $2.50 $4.00
Abuyer who is given a discount of 5% for a cash purchase will pay
< 10, where
(c)
If TT$6.00 is equivalent to US$I.00, then
Which of the foltowing statements is TRUE?
(A) McN (B) MwN=N
(c) MaN={l
19.
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)
(B) (c) (D)
$10 $2s $40 $4s
(D) MnN=N 012340r0/F 2016
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-520.
The simple interest on a sum of money invested at5o/o per annum for 3 years was
24
t2 5x
3x
$90. The sum of money invested was
(A)
(A) (B)
(B)
(c) (D)
2t
8x2
$ 54 $ 150 $ 600 $ 13 50
A woman buys a pair of
25 30
(c)
33
(c) (D)
shoes at a sale.
22
25.
(D)
Using the distributive law, (P * q) - (P x r) is simPlified to
(c) f-q,
1
(D) p(q-r)
80
interest on $900 for 3 years what was the rate of interest? was $108,
(c)
13
(A) - qr (B) -2Pq,
If the simple (A) (B)
t3 l5x2 15x
3
(D)
3
8x
She pays $45, saving $15 on the normal price. The percentage discount on the pair of shoes is
(A) (B)
3
26.
lf
x: -2,y:3, t:2,
v
9
4% lzYo 25%
4
(B)
9
4
(c)
3
23. 3* x ?i:
2
(D)
(A) (B)
x
4
(A)
3Yo
then
4
6xs
sf
(c)
6f
(D)
72x5
27
lfp*q:2P*q,then2*3is (A) (B)
5
7
(c)
8
(D)
9
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-628.
If
5(2.x
- 1) :
32.
:
3 800 millimetres expressed in metres is
(A) -4
(A) (B)
I
(c)
4
(D)
(B)
29
35, then x
(c)
a
(D)
4
of
x2+3v xy
ifx:4
and
-, I
J 4
I
2
33.
2
(c)
380
Item 33 refers to the following diagram.
y=2?
(B)
3.8 38
J
What is the value
(A)
0.38
3
2
The circle shown in the diagram, not drawn to scale, has a centre at O. The area of the circle, in cnf, is
8
(D)
30.
2
t
(A) (B)
4
When 6 is added to a number and the sum is divided by three, the result is four. This statement written in mathematical symbols
34.
is
(A)
9
(c)
6+x _4
(D)
6+I=4
33
I
3
When 5 is added to a certain number and the result is multiplied by 3 the final answer is 27. What is the original number?
(A) (B) (c) (D)
36tt
10 800 seconds expressed in hours is 3 18
30 180
*r=4
3
31
(D)
(D)
--4 (B)
12tt
(c)
3
9r
(c)
(A) (B)
6+x
6n
35
The volume, in cm3, of a cube of edge
3cmis (A) (B)
9 18
(c)
27
(D)
54
4 12
14
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nr^arnlnm^nlz
1
Item 36 refers to the following diagram. P
Item 39 refers to the following diagram.
oo 36.
The figure above, not drawn to scale, shows a sector of a circle centre O. The length of the minor arc PQ is 8 cm. What is the length of the circumference of the circle?
(A) (B) (C) (D)
16 cm
5cm
39.
24 cm 48 cm 64 cm
The diagram above, not drawn to scale, consists of a triangle resting on a square of s.ide 5 cm. The height of the triangle is 4 cm. What is the TOTAL area of the figure?
A man starred a journey at 09:30 h and arrir.ed at his destination, in the same
37
(A) (B) (C) (D)
time zone, at 13:30 h on the same day. If his average speed was 30 km,/h, then the distance, in km, for the journey was
(A) (B) (c) (D)
35 cm2
45 cmz 50 cm2 100 cmz
120 40
133
The score which occurs most frequently in a distribution is defined as the
400 430
Item 38 refers to the following diagram. s *-8cm--*
(A) (B)
median
(c)
range mode
(D)
mean
R
5cm P
38.
cm____> a
<_19
The area of the trapezium peRS above is
(A) (B)
45 cm2
(c)
65 cm2 90 cm2
(D)
130 cm2
A1'r?AA1ntE 1^1 K
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-8Item 41 refers to the following bar chart.
Item 44 refers to the following diagram. A
E q) rr
5
4 q,
3
c ()
E
Mitk
2
o
z I 0
juice
45678 Age in yearr
4t
Pineapple
B
Chocolate
The bar chart shows the ages of children who took part in a survey.
D C
Howmany children took part in the survey?
(A) (B) (c)
(D)
44. 15
The piechart above shows the preference in drinks ofa group ofstudents. Each student may select only one drink.
7s 87
If
s
12 students prefer chocolate, then the TOTAL number of students is
Item 42 refers to the eight scores below.
(A) (B)
101547 8814
t t')
ii
42.
The median of the scores presented above is
(A) (B)
4 7.25
(c)
7.50
(D)
8
45
(c)
48 72 180
(D)
360
lf
the mean of the numbers 2x, 3x, 4x and 3x is 12, then the sum of the numbers is
(A) (B)
(c) (D)
43.
4 12
48 80
In
a class of20 students, l2 are girls. What is the probability that a student chosen at
random is a boy?
46.
The equation of the line which passes through the point (0,5) and has a gradient
of4is
(A) 20
(A) (B)
!:4x y: 5x
20
(c)
Y:4x
2
(D)
8
(B)
(c)
+5
Y:5x+4
20 8
(D)
t2
nl)?Afifin
)n1 6
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-9-
49.
refers to the following graph.
@_47
v 2
1
Ifflx) :
f
(A) (B)
l9 24
(c)
29
(D)
3l
-
x- l, thenl-5) :
B
x
0
3
50
47.
The straight line AB cuts they axis at
(A) (B)
(0, 3)
(c)
(3, --2) (0, --2)
(D)
What is the gradient of the straight line
2y:-3x-8?
1
(A)
-J
(B)
-3 2
(0,2) 51
(c)
2
(D)
J
The range of f:x
{-2, Item 48 refers to the following graph.
I
5
-l,0, l, 2}is
(A) (B)
v
I
--*.f for the domain
t32, l, 0, 1, 32]i
(c)
{10,5,0,5, 10} {-10, -3,0,3, 10}
(D)
{12,-1,0,1,32\
4
Item 52 refers to the following diagram.
B
3
PP,
2
I aIz
I 0
48
I
I
8
The gradient
o
x
o
ofAB in the graph above is R
(A)
-2
(B)
2
(c)
I
2
(D)
01
??4nl
nE )il
A
52
,R
What transformation maps PpR onto
P'Q, R, ? (A) (B)
I
(c)
2
(D)
Enlargement
Rotation Translation Reflection
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-1053.
The image of a point P(1, 2) under a translation is P' (-5, -4). What is the
Item 56 refers to the following diagram.
translation vector?
(A) (B)
(c) (D)
tr) E) (;)
E 56.
i:)
(A) (B)
Item 54 refers to the following diagram.
A
B
C
D
In the diagram, AB is parallel to EC. The measure of
(c)
50" 140"
(D)
180.
Item 57 refers to the diagram below C
54
In the diagram AB and CD are parallel. Which of the following BEST describes
cm
4cm
the relation betweenx andy?
(A) x: y (B) x> v
(C) x*!>b (D) x+!
57
c t5 crs
5t
17 cm
In the right-angled triangle above, which trigonometric ratio is equal a
Item 55 refers to triangle ABCbelow.
A
A
B
xcm
(A) (B) (C) (D)
f,
sinx tany cos x tan x
B
ln the triangle ABC, not drawn to scale,lB is l7 cm, AC is 15 cm, BC is x cm and angle BCA is 90". The value ofx is
(A) (B)
7
(c)
9
(D)
t2
8
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-
ll
-
Item 58 refers to the following diagram
Item 60 refers to the following diagram Z
58.
In the isosceles triangle shown above, the value
ofx
is
(A) (B)
30 60
(c)
120
(D)
150
x 60
ltem 59 refers to the following diagram.
Y
The diagram above, not drawn to scale, shows the angle of depression of a point Xfrom Z is 30". IfXis 10 metres from Ii the height of YZ, in metres, is
(A) (B) (C) (D)
59
10m
10 10 10 10
tan 30" sin 30" cos 30" cos 60"
OAA', OBB' and OCC' are straight lines. *,ABC is mapped onto *l'B'C' by an enlargement with centre O. What is the scale factor of the enlargement?
(A)
I 2
(B)
I 2
(c)
2
(D)
.|
END OF TEST IF YOU FINISH BEFORE TIME IS CALLED, CHECK YOUR WORK ON THIS TEST. 012340t0/P 2016
