Edexcel GCSE

Mathematics B (Modular) – 2MB01

Paper 3H (Calculator)

Higher Tier

Mock Paper

Time: 1 hour 45 minutes

You must have:

Ruler graduated in centimetres and millimetres, protractor, compasses, pen, HB pencil, eraser. Tracing paper may be used.

Instructions

Use black ink or ball-point pen.

Answer all questions.

Answer the questions in the spaces provided – there may be more space than you need.

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.

Information

The total mark for this paper is 80.

The marks for each question are shown in brackets use this as a guide as to how much time to spend on each question.

Questions labelled with an asterisk (*) are ones where the quality of your written communication will be assessed you should take particular care on these questions with your spelling, punctuation and grammar, as well as the clarity of expression.

Advice

Read each question carefully before you start to answer it.

Keep an eye on the time.

Try to answer every question.

Check your answers if you have time at the end.

This publication may be reproduced only in accordance with

Edexcel Limited copyright policy.

©2010 Edexcel Limited.

GCSE Mathematics 2MB01

Formulae: Higher Tier

You must not write on this formulae page.

Anything you write on this formulae page will gain NO credit.

Volume of prism = area of cross section × length Area of trapezium = (a + b)h

Volume of sphere πr3 Volume of cone πr2h

Surface area of sphere = 4πr2 Curved surface area of cone = πrl

In any triangle ABC The Quadratic Equation The solutions of ax2+ bx + c = 0 where a ≠ 0, are given by

x =

Sine Rule

Cosine Rule a2 = b2+ c2– 2bc cos A

Area of triangle = ab sin C

Answer ALL questions.

Write your answers in the spaces provided.

You must write down all stages in your working.

1. 5 identical calculators cost a total of £31.75

Work out the cost of 7 of these calculators.

£ ..............................................

(Total for Question 1 is 2 marks)

2. Use your calculator to work out

Write down all the figures from your calculator display.

You must give your answer as a decimal.

..............................................

(Total for Question 2 is 2 marks)

*3 Wheat biscuits of the same size can be bought in large boxes, medium boxes and small boxes.

A large box costs £3.69 and contains 48 biscuits.

A medium box costs £1.78 and contains 24 biscuits.

A small box costs £1.14 and contains 12 biscuits.

Which size of box is the best value for money?

Explain your answer.

You must show all your working.

(Total for Question 3 is 4 marks)

4. (a) Solve 7(x – 4) = 35

x = ..............................................

(2)

–3 n < 4

n is an integer.

(b) Write down the possible values of n.

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

(c) Solve the inequality 5x + 3 > 3x – 11

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

(Total for Question 4 is 6 marks)

*5 Edgar had a maths test and a science test.

He got 68% in the maths test.

He got 36 out of 55 in the science test.

Which test did Edgar get the better mark in, maths or science?

(Total for Question 5 is 3 marks)

6. The diagram shows an accurate scale drawing of two towns, Middleton and Newtown.

Scale: 1 cm to 2 km

A new shopping centre is going to be built.

The shopping centre will be

less than 12 km from Middleton and less than 15 km from Newtown.

On the diagram, shade the region where the shopping centre can be built.

(Total for Question 6 is 3 marks)

7 Make t the