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GCSE BITESIZE examinations
General Certificate of Secondary Education
Specimen paper
MATHEMATICS HIGHER TIER ©2005 Paper 1 Non-calculator

Time allowed: 2 hours
You must not use a calculator.
Answer all questions in the space provided.
Mark allocations are shown in brackets. The maximum mark for this paper is 99.
Show clearly…

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Formula sheet: Higher Tier You may use the following formulas:
Volume of prism = area of cross section × length
Volume of sphere =
43

r3
Surface area of sphere = 4 r2
Volume of cone =
13
r2h
Curved surface area of cone = rl
In any triangle ABC…

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±-
bb
)42( 2
ac -
2

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Answer all questions in the spaces provided.
1. (a) Give prime factorisations of 432 and 522.
432 = ....................................... 522 = ....................................... (1 mark)
(b) Hence, or otherwise, find the Highest Common Factor of 432 and 522'
HCF = ....................................... (2 marks)
2. The diameter AB of the circle is…

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3. (a) State the nth term of each of the following sequences:
(i) 3, 7, 11, 15, 19, ....
Answer:................................................................ (1 mark)
(ii) 1,
14
,
19
,
1 16
,
1 25
, ...
Answer:................................................................ (1 mark)
(iii) 4, 7, 12, 19, 28......
Answer:.............................................................. (1 mark)
(b) Given that…

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Pages in this set

Page 1

Preview of page 1

Page 2

Preview of page 2
GCSE BITESIZE examinations
General Certificate of Secondary Education
Specimen paper
MATHEMATICS HIGHER TIER ©2005 Paper 1 Non-calculator

Time allowed: 2 hours
You must not use a calculator.
Answer all questions in the space provided.
Mark allocations are shown in brackets. The maximum mark for this paper is 99.
Show clearly…

Page 3

Preview of page 3

Page 4

Preview of page 4
Formula sheet: Higher Tier You may use the following formulas:
Volume of prism = area of cross section × length
Volume of sphere =
43

r3
Surface area of sphere = 4 r2
Volume of cone =
13
r2h
Curved surface area of cone = rl
In any triangle ABC…

Page 5

Preview of page 5
±-
bb
)42( 2
ac -
2

Page 6

Preview of page 6

Page 7

Preview of page 7
Answer all questions in the spaces provided.
1. (a) Give prime factorisations of 432 and 522.
432 = ....................................... 522 = ....................................... (1 mark)
(b) Hence, or otherwise, find the Highest Common Factor of 432 and 522'
HCF = ....................................... (2 marks)
2. The diameter AB of the circle is…

Page 8

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Page 9

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3. (a) State the nth term of each of the following sequences:
(i) 3, 7, 11, 15, 19, ....
Answer:................................................................ (1 mark)
(ii) 1,
14
,
19
,
1 16
,
1 25
, ...
Answer:................................................................ (1 mark)
(iii) 4, 7, 12, 19, 28......
Answer:.............................................................. (1 mark)
(b) Given that…

Page 10

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