C A R I B B E A N E X A M I N A T I O N S C ... - CSEC Math Tutor
嚜澧ARIBBEAN
E XAM I NAT I O N S
COUNCIL
CARIBBEAN SECONDARY EDUCATION CERTIFICATE?
EXAMINATION
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05 JANUARY 2021 (a.m.)
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TEST CODE
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SUBJECT
PROFICIENCY
1
2
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4
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2
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MATHEMATICS 每 Paper 02
GENERAL
REGISTRATION NUMBER
SCHOOL/CENTRE NUMBER
NAME OF SCHOOL/CENTRE
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DATE OF BIRTH
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TEST CODE
FORM TP 2021019
01234020
JANUARY 2021
CAR I B B EAN E XAM I NAT I O N S C O U N C I L
CARIBBEAN SECONDARY EDUCATION CERTIFICATE?
EXAMINATION
MATHEMATICS
Paper 02 每 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 SEVEN questions and Section II has THREE questions.
3.
Answer ALL questions.
4.
Write your answers in the spaces provided in this booklet.
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.
10.
ALL diagrams in this booklet are NOT drawn to scale, unless otherwise stated.
Required Examination Materials
Electronic calculator
Geometry set
DO NOT TURN THIS PAGE UNTIL YOU ARE TOLD TO DO SO.
Copyright ? 2019 Caribbean Examinations Council
All rights reserved.
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Page 4
Volume of a prism
V = Ah where A is the area of a cross-section and h is the perpendicular
length.
Volume of a cylinder
V = 羽r2h where r is the radius of the base and h is the perpendicular height.
Volume of a right pyramid
V = 〞 Ah where A is the area of the base and h is the perpendicular height.
Circumference
C = 2羽r where r is the radius of the circle.
Arc length
牟
S = 〞〞
℅ 2羽r where 牟 is the angle subtended by the arc, measured in
1
3
360
degrees.
Area of a circle
A = 羽r2 where r is the radius of the circle.
Area of a sector
A = 〞〞 ℅ 羽r2 where 牟 is the angle of the sector, measured in degrees.
Area of a trapezium
1
A=〞
(a + b) h where a and b are the lengths of the parallel sides and h
2
If ax2 + bx + c = 0,
每b + ﹟ b2 每 4ac
2a
then x = 〞〞〞〞〞〞
Trigonometric ratios
length of opposite side
sin 牟 = 〞〞〞〞〞〞〞〞〞
length of hypotenuse
length of adjacent side
cos 牟 = 〞〞〞〞〞〞〞〞〞
length of hypotenuse
DO NOT WRITE IN THIS AREA
牟
360
is the perpendicular distance between the parallel sides.
Roots of quadratic equations
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LIST OF FORMULAE
Area of a triangle
1
Area of 忖 = 〞 bh where b is the length of the base and h is the perpendicular
2
height.
1
2
Area of 忖 ABC = 〞 ab sin C
Area of 忖 ABC = ﹟ s (s 每 a) (s 每 b) (s 每 c)
a+b+c
where s = 〞〞〞〞
2
b
〞〞 =
sin B
Sine rule
a
〞〞
sin A
Cosine rule
a2 = b2 + c2 每 2bc cos A
=
c
sin C
〞〞
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GO ON TO THE NEXT PAGE
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length of opposite side
tan 牟 = 〞〞〞〞〞〞〞〞〞
length of adjacent side
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DO NOT WRITE IN THIS AREA
DO NOT WRITE IN THIS AREA
Page 5
SECTION I
Answer ALL questions.
All working must be clearly shown.
1.
(a)
(i)
Using a calculator, or otherwise, calculate the EXACT value of
4 +〞
2 每 1 〞.
5
1〞
7
3
6
.................................................................................................................................
(2 marks)
(ii)
3
27 as a fraction in its LOWEST terms.
Write the value of ﹟
〞〞
92
.................................................................................................................................
(2 marks)
GO ON TO THE NEXT PAGE
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