Centre Number Surname Candidate Number For Examiner s Use Other Names Candidate Signature Examiner s Initials General Certificate of Secondary Education Higher Tier March 2012 Pages 2 3 4 5 Mark Mathematics 43602H 6 7 8 9 Unit 2 10 11 Wednesday 7 March 2012 9.00 am to 10.15 am H 12 13 14 For this paper you must have: TOTAL mathematical instruments. You must not use a calculator. Time allowed 1 hour 15 minutes Instructions Use black ink or black ball-point pen. Draw diagrams in pencil. Fill in the es at the top of this page. Answer all questions. You must answer the questions in the spaces provided. around each page or on blank pages. Do all rough work in this book. Information The marks for questions are shown in brackets. The maximum mark for this paper is 66. The quality of your written communication is specifically assessed in Questions 3 and 12. These questions are indicated with an asterisk (*) You may ask for more answer paper and graph paper. These must be tagged securely to this answer booklet. Advice In all calculations, show clearly how you work out your answer. (Mar1243602H01) 43602H
2 Answer all questions in the spaces provided. 1 The nth term of a sequence is 45 4n 1 (a) Work out the first three terms. Answer...,...,... 1 (b) Work out the value of the first negative term of the sequence. 2 Given that a = 5, b = 8, c = 4 work out the value of ac b c + 2 Answer... (3 marks) (02)
3 *3 Smith and Jones both play for a local football team. Goals scored Games played Smith 6 27 Jones 8 32 Which player has the higher proportion of goals scored per game played? You must show your working. Answer... (3 marks) Turn over for the next question 10 Turn over (03)
4 1 4 Sophie spent of her pocket money on magazines. 4 2 Then she spent of what she had left on a present. 3 She now has 6. How much pocket money did she start with? Answer... (4 marks) 5 A price of a new car is usually 12 500. The price is reduced to 11 750. Work out the percentage reduction. Answer... % (3 marks) (04)
5 6 A market trader bought 100 loaves at 84p each 60 packs of muffins at 1.10 per pack. He sold all 100 loaves at 1.20 each 40 of the packs of muffins at 1.60 per pack. His target is to make 40% profit altogether. He sells the remaining 20 packs of muffins at a reduced price. For how much should he sell each of the remaining packs of muffins to meet his target? You must show your working. Answer... (5 marks) 12 Turn over (05)
6 7 The graph shows the cost, C ( ), of hiring a car for d days from Roy s Rentals. 100 90 80 70 Cost, C ( ) 60 50 40 30 20 10 0 0 1 2 3 4 5 6 7 Number of days, d 8 7 (a) Circle the correct formula for hiring a car from Roy s Rentals. C = 20d + 100 C = 10d + 20 C = 20d + 10 C = 5d + 20 (1 mark) (06)
7 7 (b) The cost of hiring a car from First Cars is given by the formula C = 8d + 30 Plot the graph of C = 8d + 30 on the grid opposite. 7 (c) Toby wants to hire a car for 7 days. Which of these firms should he use? Give a reason for your answer. Turn over for the next question 5 Turn over (07)
12 x 8 (a) Solve 3 = 5 8 Answer x =... (3 marks) 8 (b) Rearrange this formula to make t the subject. s = 3t + 4 Answer t =... 9 n is an integer. List the values of n such that 12 3n 6 (08)
9 10 Mr and Mrs Bell have twin daughters and a son. Mr Bell is four years older than Mrs Bell. Mrs Bell is three times older than their twin daughters. The twin daughters are seven years older than the son. The sum of the five ages is 150. Let x be the age of the twin daughters. Set up and solve an equation to work out the age of the twin daughters. Answer x =... (4 marks) 11 Factorise 9m 2 k 2 13 Turn over (09)
10 *12 Here is a number machine. Input Output multiply by 4 subtract 8 When the input is a the output is b. When the input is b the output is c. Show clearly that c = 8(2a 5) (4 marks) 24x 8 y 9 13 Simplify fully 8x 4 y 3 (10)
11 14 (a) Factorise 3n 2 + 7n + 4 14 (b) Hence, or otherwise, write 374 as the product of its prime factors. Turn over for the next question 10 Turn over (11)
12 15 (a) Write 80 + 180 in the form p 5 where p is an integer. 15 (b) Rationalise the denominator and simplify 77 11 16 Work out the value of 64 2 3 (12)
13 17 (a) Show clearly that (3x + 1) 2 9x 2 + 6x + 1 (1 mark) 17 (b) Solve the simultaneous equations y = 3x + 1 y 2 = 4x 2 x + 7 Answer... (5 marks) Turn over for the next question 12 Turn over (13)
14 18 Lines, A and B, intersect on the y-axis. Line B intersects the x-axis at the point (6, 0). The equation of line A is 4x + 3y + 12 = 0 Not drawn accurately y Line B O 6 x Line A 4x + 3y + 12 = 0 Work out the equation of line B. (4 marks) END OF QUESTIONS 4 (14)
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16 There are no questions printed on this page DO NOT WRITE ON THIS PAGE ANSWER IN THE SPACES PROVIDED Copyright 2012 AQA and its licensors. All rights reserved. (16)