Unit 4

Maths exam

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Surname Initial(s)
Centre Paper Reference
No.
Candidate Signature
No.
Paper Reference(s)
Examiner's use only
Edexcel GCSE Team Leader's use only
Mathematics
Paper 4 (Calculator)
Higher Tier
Specimen paper
Time: 1 hour 45 minutes
Materials required for examination Items included with question papers
Ruler graduated in centimetres and Nil
millimetres, protractor, compasses,
pen, HB pencil, eraser, calculator.
Tracing paper may be used.
Instructions to Candidates
In the boxes above, write your centre number, candidate number, your surname, initials and signature.
Check that you have the correct question paper.
Answer ALL the questions. Write your answers in the spaces provided in this question paper.
If you need more space to complete your answer to any question, use additional answer sheets.
You must NOT write on the formulae page. Anything you write on the formulae page will gain
NO credit.
Information for Candidates
The marks for individual questions and the parts of questions are shown in round brackets: e.g. (2).
There are 26 questions in this question paper. The total mark for this paper is 100.
There are 20 pages in this question paper. Any blank pages are indicated.
Calculators may be used.
If your calculator does not have a button, take the value of to be 3.142 unless the question
instructs otherwise.
Advice to Candidates
Show all stages in any calculations.
Work steadily through the paper. Do not spend too long on one question.
If you cannot answer a question, leave it and attempt the next one.
Return at the end to those you have left out.
This publication may be reproduced only in accordance with
Edexcel Limited copyright policy.
©2007 Edexcel Limited. Turn over
Printer's Log. No.
N29382A
W850/R5540/57570 2/2/2/3/
*N29382A0120*

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Page 2

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GCSE Mathematics
Formulae: Higher Tier
You must not write on this formulae page.
Anything you write on this formulae page will gain NO credit.…read more

Page 3

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Answer ALL TWENTY SIX questions.
Write your answers in the spaces provided.
You must write down all stages in your working.
1. (a) Work out the value of
15.6
3.3 × 1.6
Write down all the figures on your calculator display.
................................
(2)
(b) Round your answer to part (a) correct to 3 significant figures.
................................
(1) Q1
(Total 3 marks)
2. Sally thinks of a number.
She adds 11 to the number.…read more

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3.
° Diagram NOT
accurately drawn
°
V
T U
PQR and STUV are parallel straight lines.
(i) Work out the value of the angle marked x°.
°
.............................
(ii) Give reasons for your answer.
.......................................................................................................................................
....................................................................................................................................... Q3
(Total 3 marks)
4. Imran plays a game of chess with his friend.
A game of chess can be won or drawn or lost.
The probability that Imran wins the game of chess is 0.…read more

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5. The manager at "Wheels R Us" recorded the time in minutes it took to change the wheels
on cars using his garage.
Here are his results.
25 34 12 8 6 21 18 14 16 22
21 15 16 32 9 15 18 21 12 8
(i) Draw a stem and leaf diagram to show these results.
Key: 1 4 = 14
(ii) Find the median time.
Q5
(Total 4 marks)
6. Michael buys 3 cartons of milk.…read more

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7. Andy sells CDs.
He sells each CD for £8.80 plus VAT at 17 1
2 %.
He sells 650 CDs.
Work out how much money Andy gets.
Q7
£........................
(Total 4 marks)
8. Change 3.25 m 3 to cm 3.
Q8
............................ cm3
(Total 2 marks)
9. Solve 4 ( y + 3) = 6
y = ...............................…read more

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10. The probability that Asif will pass his driving test at the first attempt is 0.6
(a) Explain why Asif is more likely to pass the test at the first attempt than he is to fail
at the first attempt.
.......................................................................................................................................
.......................................................................................................................................
(1)
A driving test centre is designing a questionnaire.
This question has been designed to find out how many hours of driving lessons have been
taken by someone who is about to take a test.…read more

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11.
Diagram NOT
accurately drawn
ABCD is a rhombus of side 7 cm.
The length of the diagonal BD is 6 cm.
Use ruler and compasses to construct the rhombus ABCD.
The side AB has been drawn for you.
You must show all construction lines.…read more

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12. A train travels at a speed of 180 kilometres per hour.
Graham said that 180 kilometres per hour is the same as 50 metres per second.
Show working to show that Graham was correct.
Q12
(Total 3 marks)
13. The equation
x3 + 10x = 51
has a solution between 2 and 3
Use a trial and improvement method to find this solution.
Give your answer correct to 1 decimal place.
You must show all your working.
Q13
x = ............................…read more

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14. Three boys shared £48 in the ratio 5:4:3
Daniel received the smallest amount.
(a) Work out the amount Daniel received.
£ ...............................
(3)
A year ago, Daniel's height was 1.24 metres.
Daniel's height has now increased by 9.5%.
(b) Work out Daniel's height now.
Give your answer to an appropriate degree of accuracy.
...............................…read more

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