fi re
01234010
TESTCODE
FORM TP 2017016
JANUARY 20I7
CARIBBEAN EXAMINATIONS COUNCIL CARIBBEAN SECONDARY EDUCATION CERTIFICATE@ EXAMINATION MATHEMATICS
'
.
Paper 01 - General ProficiencY
I 04
hour 30 minutes
JANUARY2017 (p.mJ
READ THE FOLLOWING INSTRUCTIONS CAREF'ULLY.
I hour and 30 minutes
I
This test cons'ists of 60 items. You will have
2
In addition to this test booklet, you should have an answer sheet.
3
A list of formulae is provided on page 2 of this booklet.
4
Each item in this test has four suggested answers lettered (A), (B), (C), item you are about to answer, and decide which choice is best.
5
bn yotr answgr
to answer them.
(D).
Read each
sheet, find the number which corresponds to your item and shade the space
having the same lettet as the answer you have chosen. Look at the sample item below. Sample Item
* 6a:
2a
(Af (B)
Sample Answer
o@o@
'84 8a2
(c)"'
l2a
(D)
l2a2
Th*e best answer to
this item is "84", so (A) has been shaded.
6
lf you want to clfange y@rr answder, erase it completely before you fill in your new choice.
7
When you are told to begin, turn the page and work as quickly and as carefully as you can. lf you cannot aryswer anitem, go on to the next one. You may return to that item later.
8
You may do any rough work in this booklbt.
9
Figures are not ngcessarily drawn to
t
10.
scale.
f?':r
Calculators and mathematical tables are NOT allowed for this paper.
DO NOT TURN THIS PAGE UNTIL YOU ARE TOLD TO DO
i.w
COpyright O 20 \ 6 Cmibbenn F'ratnirrttiorrs \\\ ti9'\rt' r't{'jr'\ e''!'
C
SO.
-2 LIST OF'FORMULAE
v:
Volume of a prism
Ah where
I
is the area of a cross-section and ft is the perpendicurar
length. Volume of cylinder
v: nf h where r is the radius of the base and ft is the perpendicular
Volume of a right pyramid
v
:
Circumference
C
:
Arc
length
I
Ah
,
wherel
is the area
ofthe base and ft
height.
is the perpendicular height.
2xr where r is the radius of the circle.
x 2nr where 0 is the angle subtended by the arc, measured in
": l:o degrees.
Area of a
circle
A: xf where r is the radius of the circle.
Area of a sector Area of
n: #x
trapezium
A: +
zrl
where 0 is the angle of the sector, measured in degrees.
@ + b) ft where
a
and b are
the lengths of the parallel sides and
7,
is the perpendicular distance between the parallel sides.
Roots of quadratic
equations lf
ax2 + bx
Trigonometric ratios
0,
: -utEW
x
then
* c:
opposite side
sin0:
-nypoffiuse-
cosO:
adjacent side hypotenuse
tanO:
opposite side adjacent Skle
Opposite e
Area of triangle
Area of height.
A: |-
Adjacent
*n"r"D
on
is the length
of the base and & is the perpendicular
: ! ab sin C 2 Area of A ABC : s(s-a)(s-D)(s-c) Area of A
where
ABC
a*b*c
r:
sin
.4
ci :
Cosine rule
bz
a
r
lln
E
c1
-
ain C
C b
2bccosA
ait.) ( ).\ l1 )
\
,\la.'l4a\ln/t
A
\!r I A D\//t'
a^I
-
c
2
abc
Sine rule
B
1
ill: )-.i:)r. i l'r.iii
A
-31
(;) (A)
is equalto
6.
4 6
(A) (B)
4
(B)
;J
(c)
2
7
If 4.3 x 0.37
(A) (B)
:
I .591, then 0.43
x 370 is
1.59t
(c)
15.91
(c)
159.r
(D)
1591.0
(D)
In standard notation, 208.06 is written as
(A) (B)
2.0806 x 10'? 20.806 x l0l
(c)
21806 x l0-l 0.20806 x 103
(D)
r0 rs
If 3n is an even number, which of the following is an odd number? (A) (B)
8. 3
8
4 9
2.
6
(c) (D)
9
(D)
There are 40 students in a class. Cirls make up 60%o of the class and 25%o of them wear glasses. How many girls in the class wear glasses?
99 x
3n+2 3n+2n
l0l
has the same value as
(A) (B)
(99x100)+l
(c)
(99x100)+(99x1) (99 x 100) (99 x l)
(D)
9
3n-l -2
3n
(99 x 100)-(99 x
l)
What is the LEAST number of apples that can be shared equally amqng either
4
6,Sor9children?
If $560 is shared in the ratio 2:3:9, the difference between the largest and the smallest shares is
(A) (B)
(A) $ 80 (B) $240 (c) $280 (D) $360 10
5.
lf 6}Yoof a number is 90, what is the number?
J of
(c)
36 48 54
(D)
72
What is the value of the digit 2 in the number 48.621?
(A)
2 100
(A) (B)
54 72
(c)
120
(D)
r50
(B)
2
l0
(c)
2
(D)
200
i1+'
lr.e
Eit CO tJN
lO i'tiL \E)i t'I':\Ut
41l
lf X and I are two finite sets such that n(X) : 9, n(X n I') : 4 and n(Xu I0: 15, then n(I/) is
(A) (B)
s 6
(D)
r0 t2
(c)
Item 14 refers to the following Venn diagram.
v
Item 12 refers to the following Venn diagram.
3
U
14.
U: H: V:
P
t2
In the Venn diagram, the shaded
(P U Q)'
(c)
QUP'
(D)
Q NP'
{students who play games} {students who play hockey} {students who play volleyball}
The number of students in each set is indicated. How many students do NOT play volleyball?
area
represents
(A) (B)
In the Venn diagram
(A) (B)
P'
2 3
(c)
5
(D)
8
15. The cost of a 13.
calculator exclusive sales tax is $120. Susan bought a calculator and paid sales tax of l\Yo. How much change would she receive from $ 140?
' of
Of a class of 32 students, l7 study Music and 20 study Art. What is the LEAST possible number of students who study BOTH Music and Art?
(A) (B)
3
(A) (B)
5
(c)
t2 l5
(c)
(D)
(D)
l6
$8 $12 $28 $32
At the end of any year a car is wofth 5oZ less than what it was worth at the beginning ofthe year. If a car was worth 59500 in December20l6,then its value in January 20l61has
(A) (B)
(c) (D)
$ 999s sr0 000 $r0025 $r2000
ai(i ON l'O t'tl[:
NF:.](-
i'I',\Cl'.
-5 t7
An article bought for $125 was sold for $175. The profit as a percentage ofthe cost price was
(A) (B)
(c) (D)
2t
28.6
If the simple interest on $800 for 3 years is $54, what is the rate of interest per annum?
(A)
40 s0
4 9
(B)
71.4
2
% I
4 18.
A television set costs $350 cash. When bought on hire purchase, a deposit of $35 is required, followed by l2 monthly payments of $30. How much is saved by paying cash?
(A) (B)
(c) (D)
22
$10 $2s $40 $4s
(c)
sYo
(D)
440
Tom bought a pen for $60 and sold it to gain2l%o on the cost price. How much money did he gain?
(A) (B)
(c) (D) 19
A company employs 12 gardeners of the 20 employees?
(c) (D)
$12 $40 $72 $80
at
$26 per day, and 8 clerks at $l 7 per day. What is the mean daily wage, in dollars,
(A) (B)
%
23
42 5x (A)
$20.00 $21.s0 $22.40 $31.s0
5x 6
25x
(B)
8
25x
(c)
Item 20 refers to the following table which shows the rates charged by an
(D)
insurance company.
6
l0x
--6 5-x
20.
House Insurance
251 per $100
Contents Insurance
50p per $100
(A) (B)
(c) (D)
If x is an integer that satisfies the inequality 6 <2x < 8, then
How much will a person pay for insurance, if his house is valued at $50 000, and the contents at $10 000
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24.
(A) 3
?
F's,
$ 175
$22s $4s0 $s00 r :i,,
i)\ ii ) f it5 NE;{T Pi\cE
-625.
x: 4 and y:2, x2 +3y,
lf
what is the value
of
29
xy
(A) (B)
1
(A)
4
(B) 2! 2
30.
a t
(c)
2;
(D)
21 4
26.
The expression -2(x
(A) (B) (C) (D) 27.
If 3(x-l)
(x- l) is
-
4) is the same as
31.
-2x - 8 -2x + I -2x - 4 -2x + 4
lfm*n:
m
(A)
2
(B)
4
(c)
s
32.
then the value
(c)
8
(D)
9
(8a)2: (A) (B)
64a
(c)
l6a2
(D)
64a2
26
+
l6a
22
: 23 24
(c)
2E
(D)
2t2
Two tonnes, 54 kilograms is the same as
(A) (B) (C) (D)
56 kg 254 kg
2 054 ks 20 054kg
(D) $4 28.
James saves $x each month, but in March
he saved $5 less than twice his usual amount. In March, James saved
(A) (B)
$5x
(c)
$x-5 $2x-5
(D)
$
of
6 7
(A) (B)
-n2 then5*3:
-2(x- l):7,
l0x
f?,r.
r
iO()N l'i) iiiL.. i.-i:.. i i,',i,i
-7 Item 35 refers to the following diagram, not drawn to scale, which shows the sector of a circle with centre O.
Item 33 refers to the following circle, with centre O. B
120"
A
33
If the circumference of the circle is l5
3s.
cm, then the length of the minor arc AB,
of the circle, in cm?
in centimetres, is
(A)
360 120
ln the diagram, the length ofthe minorarc, PQ, is 8 cm. What is the circumference
(A) (B)
* t5
(c) (D)
120
(B)
x
l6 24 48 64
15
360
36. 360
(c)
(D)
360
-
x
15
120
-360 - 120
Fifty guests each had 2 glasses of champagne. Each glass held 150 millilitres. How many litres of champagne were used?
x
(A) (B)
15
360
Item 34 refers to the following diagram which shows a cylinder with diameter 6 cm and height 20 cm.
37.
0.1 5 1.5
(c)
l5
(D)
r50
The area of a triangle is 60 cm2 and its base is 12 cm. What is the perpendicular height, in cm, of the triangle?
6cm
cm
38
34.
The volume, in cm3, of the cylinder is
(A) (B)
(c) (D)
180 zr 240 n 360 x 720 x
(A) (B)
l0
(c)
13
(D)
t7
5
The perimeterofa square is 52 cm. What is the area, in cm2? 'S+,
(A) (B)
39
(c)
169
(D)
t96
78
rdiflt H'lrl{
H#
(ii.) (),\,
l'(
) t'tlL. NL:)i i't'A(it
-839
The circumference of a circle is
.2
cm. Given that
132
43.
r =a
7'.theradius ofthe
HHT, HTH, HTT, THH, THT, TTH, TTT), where H represents a head and T
circle, in centimetres, is
(A)
42
(B)
2t
(c)
J42
(D)
When three coins are tossed simultaneously the possible outcomes are {HHH,
represents a tail.
What is the probability of randomly obtaining at LEAST TWO heads when the three coins aretossed simultaneously? (A)
Jzt
(B)
I
4 J 8 I
(c)
Item 40 refers to the following pie chart which shows the popular games played by 720 students.
2
(D)
? J
Item 44 refers to the following table which shows the frequency of scores
Cricket Basketball
Football
30Vo
25Yo
obtained by students in a test.
l0yo
44. 40.
How many students play cricket?
(A) (c) (D) (B)
3s 120
2s2 300
The median of the numbers 1,3, 4, 5, 5,9,9, g, g, l0 is
(A) (B)
6. 4 7
(c)
8
(D)
9
2
a J
5
6
8
lt
Students
t2
ll
6
J
8
2
The modal score is
(A) 2 (B) 8 (c) il (D) t2 45
4t
Scores
Each of the letters of the word 'CHANCE' is written on a slip of paper similar in size and shape. The slips of paper are then placed in a bag and thoroughly shaken. What is the probability of randomly drawing a letter .C'?
(A)
I
6
42
If the mean of the four numbers 4, 8, x and 12 is 10, then x is
(B)
5
(c) (A) (B)
(c) (D)
iri+
I J
4
t0 t2 r6
l
(D)
2
;)
(I() ON
T'O
TIIE NIJX I I'A(iF,
-9 46.
Which of the following line graphs
48
represents { x : -2 < x < 4 }?
(A)
#
-3-2-t 0 I 2 3 4
^t ot-rs
( r o r rr r I O r ) -3-2-t 0 I 2 3 4 5
(c)
# #
3
5
(B)
(o)
The equation of the line which passes through the point (0, 2) and has a gradient
(A) y:3x (B) y:3x+2
-3-2-r 0 I 2 3 4
5
(c)
_I x J
-3-2-1012345 (D)
47
y:
v: !J x+z
Which of the following diagrams BEST illustrates a function?
49. (A)
(B)
(c)
(D)
o o o
o o o
o o o
o o o
o o o
(A) (B) (c) (D) 50
o o
-l\
-l
e
t7
3s
Which of the following points lies on
(A) (B)
(c) (D) 51
- l, thenf-3) :
-32
the line y
o o
o o o
lf /(*):2x2
:2x -
3?
(2,3\ (4, l) (0,
-3)
C2,
-t)
x --- -x2 for {-2,-1, 0, 1,2} is
The range of f
(A) (B) (c) (D)
:
the domain
{1,4} {-4, -1, 0} {-4, -l , t, 4} {-4, -t ,0, 1,4\
Iir.
tsrH. ftd
( ir ) ; rr..
ii) I iii.
..,i_
i i l,\.i;l
-
Item 52 refers to the following diagram of a circle.
l055
Which ofthe following angles are equal?
(A) (B) (C) (D)
ZDBC and ZCBE ZCBE and tABE ZABD and ZCBD ZABD and ZCBE
Item 56 refers to the following diagram
of an object and its image after a translation.
v
52.
If O
is the centre of the circle,
(A) (B) (c) (D) 53
7)
is
80o
l00o
[ ') ,n"imageof \.-3l
(1, --2) (6, l s) (0, -3) (s, -8)
o 56
.r
In the diagram, the translation by which l,B is mapped onto A'B' is represented
by
(A)
(t)
AC
(B)
(i)
(c)
(i)
(D)
(;)
and
The measure of angle ABE is
(B) (c) (D)
58o
r22" 142"
302"
A' (4,6)
A (2,5)
Items 54-55 refer to the following diagram of a pair of intersecting lines.
(A)
,t)
90o
DE are straight lines intersecting at B. Angle DBA: 58".
54
B.
25o
Underthe translation (3, -5) is
(A) (B) (c) (D)
theny'
B
57
In triangle ABC, angle A : x" and angle B :2xo. What is the size of angle C?
(A)
(l
(B)
600
(c)
30"
(D)
rl_t180\'
80
-
3x)" F+,
t^l
ii,r) ())\
l() t'lltr Ni:x I l'.\(it
-ilItem 58 refers to the following pair of similar triangles.
Item 60 refers to the following diagram which shows a ladder 5 metres long leaning against a vertical wall. The foot of the ladder is 3 metres away from the
C
wall.
o
o
, A
58.
B
6cm
M 3cm
N
The length of MO, in centimetres, is
(A) (B)
3
(c)
6 7
(D)
,
3 .5
3m-* 60
How far up the wall does the ladder reach?
Item 59 refers to the following diagram of a right-angled triangle. A
(A) (B)
(c)
4m 6m 8m
(D)
15m
5
c
59.
t2
B
From the diagram above, sin C is
(A)
5
l3
(B)
5
t2
(c)
t2 I3
(D)
l3 -
5
l91*.
BND OF TEST IF YOU FINISH BEFORE TIME IS CALLED, CHECK YOUR \,VOIIK ON THTS TEST.
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