csec-maths-2009-p1

CARIBBEAN

EXAMINATIONS

SECONDARY

COUNCIL

EDUCATION CERTIFICATE EXAMINATION MATHEMATICS

Paper 0 I - General Proficiency HOlY~

90 minutes

(20 MA Y 2009

PBW-

IB

(p.m.»)

~ /1· oS' /0

3.

Do not be concerned that the answer sheet provides spaces for more answers than there are items in this test.

4.

Each item in this test has four suggested answers, lettered (A), (B), (C), (D). Read each item you are about to answer, and decide which choice is best. On your answ er sheet, find the number which corresponds to youritem and shade the space having the same letter as the answer you have chosen. Look at the sample item below. 5ample Item 2a -{- 6a tA) (B) (C) (D)

co

8a

8i 120 12a2

6.

If you want to change your answer, erase it completely

before you fill in your new choice.

7.

\-Vhen you are told to begin, turn the page and work as quickly and as carefully as you can. Ifyou cannot answer an item, omit it and go on to the next one. Your score will be the total number of correct answers.

8.

A list of formulae is provided on page 2 of this booklet.

9.

You may do any rough work in the booklet.

HOLY

PENAl

L

:;:;

-.----

fAITH OONVEN'

.;;;;;;;;;

-

~

DO NOT

TURN

THIS

PAGE

UNTIL YOU ARE TOLD

Copyright © 2008 Caribbean Examinations Council®. All rights reserved.

TO

DO SO

v =

Ah where A is the area of a cross· section and h is the perpendicular length.

v = {Ah

A

where A is the area of the base and h is the perpendicular height.

= l(a + b) 2

h where a and b are the lengths of the parallel sides and h is the

perpendicular distance between the parallel sides.

If £Ii! + bx + c = 0, -b±..Jb2 -4ac

then x

= ------

opposite side hypotenuse cos

e =

adjacent side hypotenuse

tan

e

opposite side adjacent side

=

Area of Do =.J bh where b is the length of the base ';d h is the perpendicular Area of MBC

= ~ab

AreaofMBC

=

where s

sin C

~s(s-a)

a

~

(s-b)

=a +b+C b sinB

~

-0 2x-2y>0 (y- X)2 > 0 .2(y-x» 0

(A)

42

(B)

21

(C)

J4i

(0)

J2i ..

~

The area ofa rectangle is 53.6cm2• If the length is multipl ied by four and the width is halved, the area would then be (A)

(B) (C) (0)

26.8 cm2 53.6 cm2

I07.2cm1 214.4cm2

AOB is a sector of a circle such that angleAOB=60° and OB isrunits long. The area of AOB is

(A)

1 -rrr

(8)

..!. rrr

3

p -.•• ----18

em

6 1 3

(C)

- rrr2

(D)

1 -rrr2 6

(A)

45 cm2

(8)

65cm2

(C) (D)

90cm2 I30cm2

The marks obtained by ten students in a test marked out of25 were: 9

ml

Rt Perimeter of A 2: Perimeter of A < Perimeter

(A) (8) (C) (0)

of B of B of B of B

-,OLY FAfTH CONVENr PENAL

BBRA

Item 44 reters to the following pie-chaIt. circle and AOC is the diameter.

o is the centre ofthe

The median of the eight scores in the table

is (A)

4

(B) (C)

725 7.50

(D)

8

A bag contains 2 red, 4 yellow and 6 blue balls. The .probability of drawing a blue ball from the bag at random is

The pie-chart shows the preference in drinks of a group of students.lfl2 students prefer chocolate, then the total numberof students

1

-

(A)

6

IS

1

(B)

-

(C)

2

(D)

-

(A) (B) (C) (0)

3

1

6 11

45.

48 72 I&> 3(i)

Ifthemeanofthefournumbers4,8,xand 12 is 10, thenxis (A) (B) (C)

Length of Leaf em

10- 14

15- 19 20 - 24

25 -29

(0)

Which of the following represents equation of a straight line? The lengths of 30 cabbage leaves were measured, to the nearest cm, and the information grouped as shown in the tab Ie above.

(A) (B)

(C) (D)

3,8,12,7 5,5,5,5

"10,14,15,19,20,24,25,29 9.5,14.5,19.5,24.5,29.5

4 x

(A)

y=-

(B)

y=2x+3

(C)

y=A.2-4

(0)

y=x2+2x>5

the

Wh ich of the fo (lowing represents the gr'dph ofa function? (A) (B) (C) (0)

48.

-31 24 29 31

The relationship that BEST describes the mapping in theabovediagrarn (A) (8) (C) (0)

one-to-one one-to-many many-to-one many-to-many

is

- 1050.

Which of the following sets is represented by the relation.!: x ~ x2 + 3? (A) (B) (C) (0)

51.

7),(3, 7), (3, 5), (3, 4), (3,

12)} 9)} 6)} 9)}

The range of f : x ~ x3 for the domain {-2, -1,0, 1,2} is (A) (B) (C) (D)

52.

{(0,3),(I,4),(2, {(O, 3), (1,5), (2, {(O,3), (1,4), (2, {(O,3), (1, 1), (2,

Item 54 refers to the following diagram.

{0,I,8} {-2,-1,0,I,2} {-6, -3, 0, 3, 6} {-8,-t,0,1,8}

A boatwastravelling on a bearing of 270° . In what direction was it travelling? (A) (B) (C) (D)

West East North South

54.

e

In the right -angled triangle, tan is

5

(A)

-

(B)

-

13 5

12

12

(C)

-

(0)

-

5

13 5

The image of a point P(-2, 3) under a translation ( ~) is (A) (B) (C) (0)

53.

In the diagram AB and CD are parallel. Which ofthe following BEST describes the relation between x and y? (A) (B) (C) (D)

x+y 2x x> y

(-6,12) (-5,-1) (5,1) (1,7)

~

56.

The point A is shown on the diagram above. What are the coordinates ofthe image ofA under reflection in the y-axis? (A) (B) (C)

(-4,3) (4, -3) (3,-4)

(D)

(-3,4)

- 1257.

Item 58 refers to the triangle below.

A ship sailed 8km due east from Ato B. It then sailed 6 km due north to C. Which diagram below BEST represents the path of the ship?

1\1

C

(A)

L~N 58.

8km

N

The triangle LMNis rotated in a clockwise directionaboutL through an angleof90°. What is its image?

~

I I

A

11

6km

(A)

L'~N'

N ~

(B)

I I

L AIR

M'

6km

A

(C)

8kIn

11

(B)

L' ~

N ~ I

M'

6km

N'

C (C) N

(0)

N'~L'

~ I I

M' 6km

~c A

8kID

11

L'

CD)

~c

M'

Item 60 refers to the diagram ofa building below. A boy stands 12 metres from the foot ofthe building and observes the angle of elevation of the top oft he building.

EBEBEB EBEBtE tEOtE How many triangles congruent to !lADE would be needed to cover the rectangle

ABCDentirely? (A) (B) (C) (D)

2 4 6 8

(A) (B) (C) (D)

"-

"-

12tan40° 1.6+ 12sin40° 1.6 + 12 cos 40°

1.6 + 12 tan 40°

"

.I 1.6 m

t