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GCSE BITESIZE examinations

General Certificate of Secondary Education

Specimen paper


MATHEMATICS
HIGHER TIER
©2005
Paper 2 Calculator

Time allowed: 1 hour 45 minutes


Answer all questions in the space provided.

Mark allocations are shown in brackets.
The maximum mark for this paper is 110.

Show clearly how you work out…

Page 2

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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…

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Answer all questions in the spaces provided.

3.46 3 + 2.3 2 + 1
1. Calculate the value of + 3.6
2.7
Give your answer correct to 3 significant figures.




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


2. Sam uses 140g of flour to make 12 cakes.
How much flour will Sam need…

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4. Rearrange the following, making c the subject:
3c + b
=c+a
2




...................................................................................... (3 marks)


5. A ship sets off on a bearing of 072° from port a nd travels 3.4km in a straight
line. How far north of the ship's starting position is its final position? Give your…

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7. A plasma screen television is being sold by two companies:
Plasma-4-U is charging £1599 including VAT.
Commercial Displays Limited is charging £1526 + VAT.
What is the difference in price to the customer (including VAT)?
[VAT is charged at 17.5%]




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

8. Simplify:

(a) (3…

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9. The two box plots give data about the journey time from Birmingham to
Manchester of trains run by two different companies. Give a reason, supported
by the two different statistics, to suggest why one of the companies is better.

Journey time from London to Manchester




..........................................................................................(4 marks)


10. The…

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11. The equation x 3 - x 2 = 40 has a solution between x = 3 and x = 4 .
Use trial and improvement to find the value of x , giving your answer correct to 1
decimal place. Show all your working.




Answer:................................................................ ........... (4 marks)


12.…

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13. Find the midpoint and the length to 2 decimal places of the line AB, given that
A = (­2, 1) and B = (5, 3).




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




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


14. A javelin throw can be modelled as a triangle for training purposes. A trainer
suggests that if…

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15. (a) Fill in the following table for the function: y = x 2 - 3 x - 3 (3 marks)


x -2 -1 0 1 2 3 4 5


y


(b) Plot the graph (2 marks)




(c) Find approximate solutions to x² - 3x - 3 = 0

..............................................................................…

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16. The table shows the probabilities of different weather, and the probability that
an ice-cream stall will make a profit on any given day.

(a) Given that all of the possibilities are shown, complete the table.

Ice-cream Weather
stall
Profit 0.78 Sunny 0.32

Break even 0.07 Dull

Loss Raining 0.18…

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