Pages in this set

Page 1

Preview of page 1
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 2

Preview of page 2
Formula sheet: Higher Tier
You may use the following formulas:



Volume of prism = area of cross section × length




4
Volume of sphere = r³
3
Surface area of sphere = 4 r²




1
Volume of cone = r²h
3
Curved surface area of cone = rl




In any…

Page 3

Preview of page 3
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 4

Preview of page 4
3. (a) State the nth term of each of the following sequences:
(i) 3, 7, 11, 15, 19, ....




Answer:................................................................ (1 mark)

1 1 1 1
(ii) 1, , , , , ...
4 9 16 25




Answer:................................................................ (1 mark)

(iii) 4, 7, 12, 19, 28......




Answer:.............................................................. (1 mark)

(b)…

Page 5

Preview of page 5
4. (a) Sketch the net of a triangular-based pyramid. (2 marks)




(b) Here are the plan, front elevation and side elevation of a 3-D shape:




Draw a sketch of the 3-D shape. (2 marks)




5

Page 6

Preview of page 6
3
5. (a) Write as a decimal.
8




Answer:....................................................................... . (1 mark)

(b) Write as a fraction in its lowest terms.
Show all your working.




Answer:....................................................................... . (3 marks)




6

Page 7

Preview of page 7
6. (a) Factorise fully 3a 3 b + 12a 2 b 2 + 9a 5 b 3




................................................................................. (1 mark)

(b) Give the value of x when 2 x 2 - x - 6 = 0




................................................................................. (2 marks)

3x + 2
(c) Solve the equation +3= 4
x -1…

Page 8

Preview of page 8
7. The histogram shows the price distribution of houses in an area of Manchester.
Prices are given in thousands of pounds (to the nearest thousand).




Price
0 x < 100 100 x <250 250 x <300 300 x <350 350 x <500
£(x)000s


Frequency 60



(a) Add a bar to…

Page 9

Preview of page 9
8. Using a ruler and compasses only, and making sure you leave all construction
lines visible:

(a) Construct a triangle of side lengths 4cm, 5cm and 6cm (2 marks)




(b). Construct a square of side length 5cm. (3 marks)




9

Page 10

Preview of page 10
9. Enlarge shape A with a scale factor of -½, centre O. (2 marks)




10. (a) Solve the inequality 5 x + 3 3 x - 6




................................................................................. (1 mark)

(b) Given that x is an integer and - 3 < x + 1 4 list the possible values of…

Comments

No comments have yet been made

Similar Mathematics resources:

See all Mathematics resources »See all resources »