# June 08-paper 3-GCSE Maths

Mark scheme for this is available in my resources. Rate well and GOOD LUCK IN YOUR EXAMS:)

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H
GENERAL CERTIFICATE OF SECONDARY EDUCATION J512/03
MATHEMATICS SYLLABUS A
Paper 3 (Higher Tier)
MONDAY 19 MAY 2008 Morning
Time: 2 hours

Candidates answer on the question paper
*CUP/T47403*

Geometrical instruments
Tracing paper (optional)

INSTRUCTIONS TO CANDIDATES
· Write your name in capital…

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Formulae Sheet: Higher Tier

Volume of prism = (area of cross-section) x length cross-
section
h
lengt

In any triangle ABC
C
a b c
Sine rule = =
sin A sin B sin C b a

Cosine rule a 2 = b 2 +c 2 ­ 2bc cos…

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1 (a) A 100 g box of breakfast cereal contains 20 g of fruit and 80 g of oats.

Write the ratio of fruit to oats in its simplest form.

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(a) ___________ : ___________[1]

(b) What weight of fruit is in a 250 g box of the…

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2 (a) The probability that Rovers will win their next match is 0.6.
The probability that Rovers will lose their next match is 0.15.

Work out the probability that Rovers will draw their next match.

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(a) _______________________[2]

(b) A weather man says `There is a 40%…

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3 ABCDEFGH is a cuboid. H
z
With the x, y and z axes shown, G
A is the point (3,0,0), y
E
F
B is the point (8,0,0),
D is the point (3,6,0),
M D
E is the point (3,0,4).
C
O
A
B
x

(a) Write down…

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4 In triangle ABC, C
· AB is x cm long
· BC is twice the length of AB
· AC is 10 cm longer than AB.

The perimeter of the triangle is 42 cm.
A x B
Write down an equation in x and solve it.
NOT TO…

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5
y x=3

5

4

3

2
A
1

­5 ­4 ­3 ­2 ­1 0 1 2 3 4 5 x
­1

­2

­3
B
­4

­5

(a) Describe the translation that moves triangle A onto triangle B.

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(b) Reflect triangle A in the line x =…

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6 (a) (i) Draw the graph of y = 3x ­ 1.

x

y

y

5

4

3

2

1

­1 0 1 2 x
­1

­2

­3

­4

[3]

(ii) Use your graph to solve the equation 3x ­…

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7 (a) Multiply out.

3(2x ­ 5)

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(a) _______________________[1]

(b) Factorise completely.

4a + 2ac

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(b) _______________________[2]

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8 (a) Write 200 as a product of its prime factors, using powers.

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(a) _______________________[3]

(b) Simplify each of the following.

(i) y5 × y3

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(b)(i) _____________________[1]
y5
(ii) ­­
y3
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(ii) _____________________[1]

(iii) (2y 5)3

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(iii) _____________________[2]

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