6017 *J1601234020* - Online CXC CSEC Maths Class | "Wise ...

6017

CARIBBEAN EXAMINATIONS COUNCIL

CARIBBEAN SECONDARY EDUCATION CERTIFICATE? EXAMINATION

05 JANUARY 2016 (a.m.)

*J1601234020*

J1601234020

FILL IN ALL THE INFORMATION REQUESTED CLEARLY IN CAPITAL LETTERS.

TEST CODE 0 1 2 3 4 0 2 0

SUBJECT MATHEMATICS ? Paper 02

PROFICIENCY

GENERAL

REGISTRATION NUMBER

SCHOOL/CENTRE NUMBER

NAME OF SCHOOL/CENTRE

CANDIDATE'S FULL NAME (FIRST, MIDDLE, LAST)

DATE OF BIRTH

D DMM Y Y Y Y

SIGNATURE __________________________________________________

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FORM TP 2016017

TEST CODE 01234020

JANUARY 2016

CARIBBEAN EXAMINATIONS COUNCIL

CARIBBEAN SECONDARY EDUCATION CERTIFICATE? EXAMINATION

MATHEMATICS

Paper 02 ? General Proficiency

2 hours 40 minutes

READ THE FOLLOWING INSTRUCTIONS CAREFULLY.

1. This paper consists of TWO sections: I and II.

2. Section I has EIGHT questions and Section II has THREE questions.

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

4. Write your answers in the booklet provided.

5. Do NOT write in the margins.

6. All working MUST be clearly shown.

7. A list of formulae is provided on page 4 of this booklet.

8. If you need to rewrite any answer and there is not enough space to do so on the original page, you must use the extra page(s) provided at the back of this booklet. Remember to draw a line through your original answer.

9. If you use the extra page(s) you MUST write the question number clearly in the box provided at the top of the extra page(s) and, where relevant, include the question part beside the answer.

Required Examination Materials

Electronic calculator Geometry set

DO NOT TURN THIS PAGE UNTIL YOU ARE TOLD TO DO SO.

Copyright ? 2014 Caribbean Examinations Council All rights reserved.

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LIST OF FORMULAE Volume of a prism

Volume of cylinder Volume of a right pyramid Circumference

Page 4

V = Ah where A is the area of a cross section and h is the perpendicular length. V = r2h where r is the radius of the base and h is the perpendicular height. V = --13 Ah where A is the area of the base and h is the perpendicular height. C = 2r where r is the radius of the circle.

Arc length

S = --3q6--0 ? 2r where is the angle subtended by the arc, measured in degrees.

Area of a circle Area of a sector

A = r2 where r is the radius of the circle. A = --3q6--0 ? r2 where is the angle of the sector, measured in degrees.

Area of trapezium

A = --12 (a + b) h where a and b are the lengths of the parallel sides and h is the perpendicular distance between the parallel sides.

Roots of quadratic equations If ax2 + bx + c = 0,

Trigonometric ratios

then x = --?b--+--2b--a2 ?--4a--c sin = --ohpyp--poos--tieten--usis-- dee cos = --ahdy-- japco--etnent--usis-- dee tan = --oadp-- jpaocs--eintet--ssii-- ddee

Area of triangle Sine rule

Area of height.

=

--12

bh

where

b

is

the

length

of

the

base

and

h

is

the

perpendicular

Area of ABC = --12 ab sin C Area of ABC = s (s ? a) (s ? b) (s ? c)

where s = --a--+ b--+--c 2

--sina--A = --sinb--B = -- sinc--C

Cosine rule

a2 = b2 + c2 ? 2bc cos A

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GO ON TO THE NEXT PAGE

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SECTION I Answer ALL questions in this section.

All working must be clearly shown. 1. (a) Using a calculator, or otherwise, calculate the EXACT value of

( ) 3.6 + 51.84 ? 3.75

Page 5

(2 marks)

(b) The diagram below, not drawn to scale, shows two jars of peanut butter of the same brand.

Which of the jars shown above is the BETTER buy? Show ALL working to support your answer.

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(3 marks) GO ON TO THE NEXT PAGE

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