5MB3F/01 Edexcel GCSE Mathematics B (Modular) – 2MB01 Paper 3F (Calculator) Foundation Tier Mock Paper Time: 1 hour 30 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. ©2011 Edexcel Limited.
2 GCSE Mathematics 2MB01
Formulae: Foundation Tier
You must not write on this formulae page. Anything you write on this formulae page will gain NO credit.
Area of trapezium = (a + b)h
Volume of prism = area of cross section × length
3 Answer all questions. Write your answers in the spaces provided. You must write down all stages in your working.
1. Here are seven triangles drawn on a square grid.
Two of the triangles are congruent. (a) Write down the letters of these two triangles...... and ...... (1) Triangle G is an enlargement of triangle A. (b) Write down the scale factor of this enlargement...... (1) Here is a polygon.
(c) Write down the mathematical name of this polygon...... (1) (Total for Question 1 is 3 marks)
4 2. (a) Change 4 metres into centimetres.
...... centimetres (1)
(b) Change 3500 grams into kilograms.
...... kilograms (1) (Total for Question 2 is 2 marks)
3. Complete this bill. Pete’s Paint Shop Item Number of items Costs of one item Total Roll of wallpaper 5 £7.50 £37.50 Paintbrush 3 £2.45 £...... Tin of paint 2 £...... £17.90 Total cost £......
(Total for Question 3 is 3 marks)
5 4. Jane knits woollen squares to make blankets.
Jane knits
30 squares to make a small blanket 63 squares to make a medium blanket 108 squares to make a large blanket.
Jane needs to make 3 small blankets and 2 large blankets. She has already knitted 205 woollen squares.
How many more squares does Jane need to knit?
...... squares (Total for Question 4 is 4 marks)
5.
mirror line
Reflect the shaded shape in the mirror line. (Total for Question 5 is 1 mark)
6 6. Mr and Mrs King take their 3 children to the cinema.
Adult ticket £6.95
Child ticket £4.50
Mr King pays for 2 adult tickets and 3 child tickets. He pays with two £20 notes.
How much change should he get?
£ ...... (Total for Question 6 is 3 marks)
7. (a) Solve 3x = 30
x = ...... (1)
(b) Solve y + 9 = 15
y = ...... (1)
(c) Solve 3t + 8 = 35
t = ...... (2) (Total for Question 7 is 4 marks)
7 8. Mike buys some cakes to sell at his school fete.
Mike buys 10 packets of cakes. There are 12 cakes in each packet. Each packet of cakes costs £1.50
Mike sells the cakes for 75p each. At the end of the school fete Mike has 26 cakes left.
Work out Mike’s total profit.
...... (Total for Question 8 is 4 marks)
3 9. (a) Write as a decimal. 4
...... (1)
(b) Write 0.7 as a fraction.
...... (1)
(c) Write 40 as a fraction of 120 Give your fraction in its simplest form.
...... (2) (Total for Question 9 is 4 marks)
8 10. Hamid uses his van to deliver crates to factories.
Each crate has a weight of 52 kg. The greatest total weight of crates that Hamid can put in his van is 700 kg.
Hamid has to deliver 40 of these crates to a factory.
How many deliveries does Hamid need to make?
...... (Total for Question 10 is 4 marks)
11.
Make an accurate drawing of this triangle. The line AB has been drawn for you.
(Total for Question 11 is 2 marks)
9 12. y = 4x + 2
(a) Work out the value of y when x = 7
y = ...... (2)
P = 3a + 2b
(b) Work out the value of P when a = 5 and b = 8
P = ...... (2) (Total for Question 12 is 4 marks)
10 13. The table shows some temperatures in C changed into temperatures in F.
Temperature in °C 0 20 40 Temperature in °F 32 68 104
(a) On the grid, use the information in the table to draw a line graph for changing between temperatures in °C and temperatures in °F.
(2) (b) Use your graph to change
(i) 35 °C into °F, ...... °F (ii) 64 °F into °C...... °C (2) (Total for Question 13 is 4 marks)
11 14. On the grid, show how this shape will tessellate. You should draw at least six more shapes.
(Total for Question 14 is 2 marks)
15. James uses this rule to work out how long it will take to cook a turkey.
Time (in minutes) = Weight of turkey (in kg) × 20 + 80
James has a 5 kg turkey.
(a) Work out how long, in minutes, it will take to cook the turkey.
...... minutes (2)
Sue has a different turkey. She used the same rule to work out that her turkey will take 4 hours to cook.
(b) Work out the weight of Sue’s turkey.
...... kg (3) (Total for Question 15 is 5 marks)
12 *16. Angela has x sweets. Jamie has 9 more sweets than Angela. Miranda has 3 times as many sweets as Angela.
They have a total of 49 sweets.
How many sweets does Jamie have?
(Total for Question 16 is 4 marks)
17. Use your calculator to work out 18.52 + 200
Write down all the figures from your calculator display. You must give your answer as a decimal.
...... (Total for Question 17 is 2 marks)
13 18. The diagram shows a triangular prism.
The cross-section of the prism is a right-angled triangle. On the grid of centimetre squares, draw an accurate net of the prism.
(Total for Question 18 is 3 marks)
14 19.
The radius of the circle is 5.8 cm.
Work out the area of the circle. Give your answer correct to 1 decimal place.
...... (Total for Question 19 is 3 marks)
20. A holiday costs £840 plus 20% VAT.
Calculate the total cost of the holiday.
£ ...... (Total for Question 20 is 3 marks)
15 21. The diagram shows a prism.
Work out the volume of the prism.
...... cm3 (Total for Question 21 is 4 marks)
16 *22. 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 22 is 4 marks)
17 23. 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 23 is 3 marks)
18 24.
(a) Rotate triangle T 90° clockwise about the point (0, 0). (2)
19 (b) Describe fully the single transformation which maps shape P onto shape Q.
......
......
...... (3) (Total for Question 24 is 5 marks)
TOTAL FOR PAPER IS 80 MARKS
20