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Centre Number For Examiner’s Use Candidate Number Surname Other Names Examiner’s Initials Candidate Signature Pages General Certificate of Secondary Education Foundation Tier June 2011 Mark 3 4–5 6 –7 Mathematics (Modular) (Specification B) Module 5 43055/2F 8–9 10 –11 F Paper 2 Calculator 12 – 13 14 – 15 16 –17 Friday 10 June 2011 9.00 am to 10.15 am 18 – 19 For this paper you must have: l a calculator l mathematical instruments. TOTAL Time allowed l 1 hour 15 minutes Instructions l Use black ink or black ball-point pen. Draw diagrams in pencil. l Fill in the boxes at the top of this page. l Answer all questions. l You must answer the questions in the spaces provided. Do not write outside the box around each page or on blank pages. l Use a calculator where appropriate. l Do all rough work in this book. l If your calculator does not have a π button, take the value of π to be 3.14 unless another value is given in the question. Information l The marks for questions are shown in brackets. l The maximum mark for this paper is 70. l You may ask for more answer paper, graph paper and tracing paper. These must be tagged securely to this answer booklet. Advice l In all calculations, show clearly how you work out your answer. WMP/Jun11/43055/2F 43055/2F 2 Formulae Sheet: Foundation Tier You may need to use the following formulae: a Area of trapezium = 1– (a + b)h h 2 b Volume of prism = area of cross-section × length crosssection h lengt (02) WMP/Jun11/43055/2F Do not write outside the box 3 Answer all questions in the spaces provided. 1 (a) Write a number to make each statement correct. 1 (a) (i) 5 metres = ............................................ centimetres (1 mark) 3 kilograms = ................................................. grams (1 mark) 1 (a) (ii) 1 (b) Write a word to make this statement correct. 2000 millilitres = 2 ..................................................... 2 (1 mark) Angle x is shown on the diagram. x 2 (a) 2 (b) What type of angle is x? Answer ...................................................................... (1 mark) Answer ........................................................ degrees (1 mark) Measure angle x. 5 Turn over (03) 䊳 WMP/Jun11/43055/2F Do not write outside the box 4 3 Here is a cuboid. 3 (a) How many faces does the cuboid have? Answer ...................................................................... 3 (b) The cuboid is cut in half to make this shape. 3 (b) (i) How many rectangular faces does this shape have? Answer ...................................................................... (1 mark) (1 mark) 3 (b) (ii) How many triangular faces does this shape have? Answer ...................................................................... (1 mark) 3 (b) (iii) How many vertices does this shape have? Answer ...................................................................... (04) (1 mark) WMP/Jun11/43055/2F Do not write outside the box 5 4 (a) Jack is thinking of a number. The number is between 10 and 20 The number is odd The number is a multiple of 3 What is the number? ............................................................................................................................................ ............................................................................................................................................ Answer ...................................................................... 4 (b) (2 marks) Nima is thinking of a number. The number is greater than 1 The number is a factor of 20 The number is a square number What is the number? ............................................................................................................................................ ............................................................................................................................................ Answer ...................................................................... (2 marks) Turn over for the next question 8 Turn over (05) 䊳 WMP/Jun11/43055/2F Do not write outside the box 6 5 The cost of hiring a bicycle is given by the formula Cost in pounds = Number of days × 6 + 12 5 (a) Work out the cost of hiring a bicycle for three days. ............................................................................................................................................ ............................................................................................................................................ Answer £ .................................................................... 5 (b) (2 marks) Ruby hires a bicycle. The cost is £96. For how many days does she hire the bicycle? ............................................................................................................................................ ............................................................................................................................................ ............................................................................................................................................ Answer ...................................................................... (06) (2 marks) WMP/Jun11/43055/2F Do not write outside the box 7 6 These patterns are made using circles. Pattern 1 6 (a) Pattern 2 Pattern 3 Draw Pattern 4. (1 mark) 6 (b) Fill in the missing entries in the table. Pattern number 1 2 3 Number of shaded circles 2 3 4 Number of unshaded circles 2 4 6 Total number of circles 4 7 10 4 5 (2 marks) 6 (c) It is not possible to make one of the patterns with a total of 29 circles. Give a reason why. ............................................................................................................................................ ............................................................................................................................................ ............................................................................................................................................ (1 mark) 8 Turn over (07) 䊳 WMP/Jun11/43055/2F 8 7 (a) Do not write outside the box AB and AD are straight lines. y B 4 3 2 1 A D 0 0 7 (a) (i) 1 2 3 4 5 6 x Write down the coordinates of A. Answer ( ................. , ................. ) (1 mark) 7 (a) (ii) Write down the coordinates of the midpoint of the line AD. Answer ( ................. , ................. ) (1 mark) 7 (a) (iii) ABCD is a parallelogram. Complete the diagram. (1 mark) (08) WMP/Jun11/43055/2F Do not write outside the box 9 7 (b) EF is a straight line. y 7 6 F 5 4 3 2 1 E 0 0 7 (b) (i) 1 2 3 4 5 6 7 8 9 10 11 12 x Measure the length of the line EF. Answer ................................................................ cm (1 mark) 7 (b) (ii) Lines EH and FG are parallel to the x-axis. EFGH is a rhombus. Complete the diagram. (2 marks) Turn over for the next question 6 Turn over (09) 䊳 WMP/Jun11/43055/2F Do not write outside the box 10 8 (a) Draw a triangle on the grid that has an angle of 90° and two equal sides. (2 marks) 8 (b) Which two of the following describe the triangle in part (a)? Circle your answers. Pythagoras right-angled scalene isosceles equilateral congruent (2 marks) (10) WMP/Jun11/43055/2F Do not write outside the box 11 9 (a) c and d are positive numbers. They are not equal. Tick a box to show whether each statement is true or false. True False c+d=d+c c–d=d–c c×d=d×c c÷d=d÷c (3 marks) 9 (b) (i) Circle the expression that is twice as big as n. 2n n+2 n 2 n2 (1 mark) 9 (b) (ii) Circle the expression that is 5 less than n. n 5 n+5 n–5 5–n (1 mark) 9 (c) Write down two cube numbers that have a difference of 19. ............................................................................................................................................ ............................................................................................................................................ Answer ............................... and ................................ (2 marks) 11 Turn over (11) 䊳 WMP/Jun11/43055/2F Do not write outside the box 12 10 (a) ABC is a straight line. D Not drawn accurately 37° y x 46° A 10 (a) (i) E 52° B C Work out the value of angle DBE, marked x on the diagram. ............................................................................................................................................ ............................................................................................................................................ Answer ........................................................ degrees (2 marks) 10 (a) (ii) Work out the value of angle DEB, marked y on the diagram. ............................................................................................................................................ ............................................................................................................................................ Answer ........................................................ degrees 10 (b) (2 marks) This is a regular pentagon. Not drawn accurately w Work out the value of an exterior angle, marked w on the diagram. ............................................................................................................................................ ............................................................................................................................................ ............................................................................................................................................ ............................................................................................................................................ Answer ........................................................ degrees (12) (2 marks) WMP/Jun11/43055/2F Do not write outside the box 13 11 Enlarge shape A by scale factor 3. A (2 marks) Turn over for the next question 8 Turn over (13) 䊳 WMP/Jun11/43055/2F Do not write outside the box 14 12 (a) Here is a sequence. 1 8 22 ...... To find the next term the rule is add 3 and multiply by 2 Work out the next term in the sequence. ............................................................................................................................................ Answer ...................................................................... 12 (b) (1 mark) Here is a different sequence. 1 76 ...... To find the next term the rule is add 3 and multiply by n Work out the value of n. ............................................................................................................................................ ............................................................................................................................................ Answer ...................................................................... (14) (2 marks) WMP/Jun11/43055/2F Do not write outside the box 15 13 (a) Simplify fully 6x + 5y + 4x – 3y ............................................................................................................................................ Answer ...................................................................... 13 (b) Solve (2 marks) 9c – 3 = 4c + 1 ............................................................................................................................................ ............................................................................................................................................ ............................................................................................................................................ Answer c = ................................................................ 14 (3 marks) The cost of a taxi journey is made up of two parts. £3.50 for any distance up to 1 kilometre 30p for every 100 metres after the first kilometre How much will a taxi journey of 3 kilometres cost? ............................................................................................................................................ ............................................................................................................................................ ............................................................................................................................................ ............................................................................................................................................ ............................................................................................................................................ ............................................................................................................................................ Answer £ ................................................................... (3 marks) 11 Turn over (15) 䊳 WMP/Jun11/43055/2F Do not write outside the box 16 15 In this diagram, all lengths are in centimetres. 2 2 6 Not drawn accurately 6 h h 4 8 The area of the shape is 56 cm2. Work out the length marked h in the diagram. ............................................................................................................................................ ............................................................................................................................................ ............................................................................................................................................ ............................................................................................................................................ ............................................................................................................................................ Answer ................................................................ cm (16) (3 marks) WMP/Jun11/43055/2F Do not write outside the box 17 16 Here is a right-angled triangle. 17 cm x Not drawn to accurately Not accurately 15 cm Work out the value of x. ............................................................................................................................................ ............................................................................................................................................ ............................................................................................................................................ ............................................................................................................................................ Answer ................................................................ cm (3 marks) Turn over for the next question 6 Turn over (17) 䊳 WMP/Jun11/43055/2F Do not write outside the box 18 17 Use trial and improvement to find a solution to the equation x3 + 6x = 29 Continue the table of results. Give your solution to 1 decimal place. x x3 + 6x Comment 2 20 Too small ............................................................................................................................................ ............................................................................................................................................ ............................................................................................................................................ ............................................................................................................................................ Answer x = ................................................................. (18) (4 marks) WMP/Jun11/43055/2F Do not write outside the box 19 18 Here is a triangular prism. 4 cm 20 cm 6 cm Work out the volume of the prism. ............................................................................................................................................ ............................................................................................................................................ ............................................................................................................................................ ............................................................................................................................................ Answer ............................................................... cm3 (3 marks) END OF QUESTIONS 7 (19) WMP/Jun11/43055/2F Do not write outside the box 20 There are no questions printed on this page DO NOT WRITE ON THIS PAGE ANSWER IN THE SPACES PROVIDED Copyright © 2011 AQA and its licensors. All rights reserved. (20) WMP/Jun11/43055/2F