Notesale: Turn your study into money

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FORM TP 2011017

rESr coDE

01234020
JANUARY 2011

CARIBBEAN EXAMINATIONS COUNCIL
SEC

ONDARY EDUCATION CERTIFICATE

EXAMINATION
MATHEMATICS
Paper 02

-

General Proficiency

2 hours 40 minates
04 JANUARY 2011 (a
...
)

INSTRUCTIONS TO CANDIDATES

1
...


2
...


Answer ALL questions in Section I, and any TWO questions from Section II
...


Write your answers in the booklet provided
...


All working must be clearly shown
...


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

Copyright O 2009 Caribbean Examinations Council@
...

0 1 234020/JANUARY/F 20 1 1

II
...


All working must be clearly shown
...


(a)

Calculate the exact value

(i)
(ii)

(5
...
02)

x

of

( 2 marks)

2
...
50 per hour for

Calculate the basic weekly wage for ONE

a

40-hour week
...


( l mark)

Overtime is paid atarate of time and a half
...

( 2 marks)

In a certain week, the company paid its 30 employees a total of $12 084
...
Calculate for that week:

(iiD

The TOTAL paid in overtime wages

( 2 marks)

(iv)

The TOTAL number of overtime hours worked by employees

( l mark)
Total 11 marks

)

(a)

Simplify
2x

expressing your answer as a single fraction
...


(c)

(

Expressp as the subject of the formula

Q:

P2 - '

(

3 marks)

GO ON TO THE NEXT PAGE
01234020/JANUARY/F 201 1

Page 4

(d)

The students in a class sell donuts to raise money for their school project
...
The number of donuts in EACH type of box is given
in the table below:

Number of Donuts per Box

Type ofBox
Small box

x

Large box

2x+ 3

The students sold 8 small boxes and 5 large boxes in all
...


(ii)

(

2 marks)

The total number of donuts sold was 195
...


4 marks)

Total12 marks

(a)

3
...


2 marks)

Fresh Farms Dairy sells milk in cartons in the shape of a cuboid with internal dimensions

6cmby4cmbyl0cm
...


(ii)

A recipe for making ice-cream requires 3 litres of milk
...

What is the height of milk in the cup? Give your answer to 3 significant flgures
...
141
[Use lt

Total

ll

marks

GO ON TO THE NEXT PAGE
0

1

234020/JANUARY/F 20

11

Page 5
4
...


( l mark)

List the members of the set FL

-/ is a subset

(ii)
(iii)

(1, such that

of U, such that

J:

List the members of the

{Prime numbers}
...


Draw a Venn diagram to represent the sets U, Fland-l,
in the subsets
...


(

ALL construction lines MUST be clearlv shown
...


On the diagram, show the point, K, such that KLMN is a parallelogram
...


(a)

The equation of a straight line is given by:

3y:2x -

6

Determine

(i)
(ii)
(b)

the gradient of the

line

(

the equation ofthe line which is perpendicular
the point (4,7)
...


( 2 marks)
( 2 marks)
( 2 marks)
Total ll marks
GO ON TO THE NEXT PAGE

0123 4020 / JANUARY/F 20

11

Page 6

The line graph below shows the monthly sales, in thousands of dollars, at a school cafeteria for
the period January to May 2010
...


li i i

:

40
-i
...
\

F* tiit

d-t-:-i-

o
E

Ero

N

3

ll-r-*

!

4

0


...
N

*zo
0


...
i
...
i\

;ti:

ti

-l-
...
n
...


Month

Jan

Feb

Mar

Apr

May

Sales in
38

$Thousands

27

( 3 marks)

(ii)

Between which TWO consecutive months was there the GREAIEST decrease in

( lmark)

sales?
2010
...
Calculate the sales, in
( 2 marks)
dollars, for the month of June
...


Total

ll

marks

GO ON TO THE NEXT PAGE
OI234O2O

I

JANUARY/F

20

1

I

Page 7

7
...

The diagram below shows triangle RSZand its image R'S'T 'after a transformation
...
a
...
i
...
i'''i''i''

-i -i-!- i

^S

ti|,,,,,,:jl

i

i
...
l

ti

f: t:

ijj9

-i

i-i


...
i
...
i
...
i
...


-i"
...
j
...



...
::N,:
-
...
1_

{t'

t

-:--il


...
N

-i-
...
i
...
i
...


(

2 marks)

Describe completely the transformation which maps triangle RSZonto triangle R'S'T'
...

a)

On your answer sheet, draw triangle R"S"T ", the image of triangle R,S7under
the enlargement
...

c)

State TWO geometrical relationships between triangles RSI and R" S"T "
...


An answer sheet is provided for this question
...


to complete the table on the answer sheeto which shows the
length, width, area and perimeter of rectangles B, C, D and, E
...


( 4marks)

(ii)

Complete the table to show the dimensions of rectangles
...


(b)

Rectangle D has a perimeter of 24 cm, with length , l, and width, w
...
In the table,
( 2 marks)
write the values of l, w and the area of rectangle D
...

E is to be as large as possible, determine the values of / and
values of l, w and the area of the rectangle E
...
In the table, write the
( 2 marks)
Total 10 marks

GO ON TO THE NEXT PAGE
0

t234020 I JANUARY/F 20

11

OI234O2O

TEST CODE

FORM TP 2011017

JANUARY 2011

CARIBBEAN EXAMINATIONS COUNCIL
SECONDARY EDUCATION CERTIFICATE

EXAMINATION
MATHEMATICS
Paper 02 - General Proficiency
Answer Sheet for Question 8

Candidate Number

Rectangle

Length

width

Area
(square units)

Perimeter
(units)

A

10

2

20

24

B

27

24

c

3Z

24

D

24

E

36

ATTACH THIS ANSWER SHEBT TO YOURANSWER BOOKLET

Page 9

SECTION

II

Answer TWO questions in this section
...


(a)

The functions

flr)

flx)

and

g(x)

2x-7
x

are defined as:

and

(i)

Evaluatefl5)
...


b)

(b)

s(x):fi+3

(6marks)

Express the quadratic function
h and k are constants
...

( 2 marks)

Determine the roots

i

of I -

of I - 6x - x2

6x

- x2:0, giving your answers

to 2 decimal places
...


(a)

The diagram, below, not drawn to scale, shows a circle, centre, O
...


Calculate, giving reasons for EACH step of your answer, the measure of:

(i)
(ii)
(b)

t
t

( 2 marks)
( 3 marks)

oGF
DEF

J, K and L are tluee sea ports
...


l,

sailed to K, then to

L

and

The bearing of K from -/is 054" and Z is due east of K
...
Show on
the diagram

a)
b)
c)
(ii)

KL: 60krn
...


(

3 marks)

(

7 marks)

Calculate

a)
b)
c)

the measure of angle JKL
the distance -IZ
the bearing of -I from Z
...


(u)

Under a matrix transformat ,on,

ll: lo

V'andW'sluchthat:

'--l , ,n" points, V

rd)

and,

W

aremapped onto

(3,5) ---+ V' (5,-3)
w (7,2) --> W'
...


(iii)
(b)

(

and
...

---,

3 marks)

Z' (5,1)underthetransformation,

(
(

2 marks)

(

3 marks)

(

Describe FULLY the geometric transformation, M
...
7) and PR

(D

:

(t\

[_;J
(a\
Write in the form | , I the vectors:

lb)

a)

b)
(ii)

--)
OP
--)
oR

A point

,S

a)

Find RS
...


has coordinates

(I4,-2)

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