Mathematics Paper 2 (Calculator)
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1 Write your name here Surname Other names Pearson Edexcel Level 1/Level 2 GCSE (9-1) Centre Number Candidate Number Mathematics Paper 2 (Calculator) Specimen Papers Set 2 Time: 1 hour 30 minutes Higher Tier Paper Reference 1MA1/2H You must have: Ruler graduated in centimetres and millimetres, protractor, pair of compasses, pen, HB pencil, eraser, calculator. Total Marks Instructions Information Use black ink or ball-point pen. Fill in the boxes at the top of this page with your name, centre number and candidate number. 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 π button, take the value of π to be unless the question instructs otherwise. Diagrams are NOT accurately drawn, unless otherwise indicated. You must show all your working out. 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. 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. S50158A 2015 Pearson Education Ltd. 6/6/4/ *S50158A0124* Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics - Specimen Papers Set 2 - September 2015 Pearson Education Limited
2 14 Joseph travels to work each day by train. The weekly cost of his train journey is 45 Joseph s weekly pay is 625 (a) Work out 45 as a percentage of % (b) The weekly cost of his train journey increases by 8%. Increase 45 by 8%.... (3) (c) Joseph s weekly pay increases to 640 Calculate the percentage increase from 625 to % (3) (d) Joseph decides to cycle to work. He cycles 18 km to work. His journey to work takes 1 hour 20 minutes. Calculate his average speed in kilometres per hour.... km/h (3) (Total for Question 14 is 11 marks) *P41035A01520* 15
3 62 y 6 4 Q P O x (a) Describe fully the single transformation which maps triangle P onto triangle Q.... (3) (b) Reflect triangle Q in the line y = x. Label the new triangle R. (Total for Question 6 is 5 marks) 73 The perimeter of a triangle is 90 cm. The lengths of the sides of the triangle are in the ratios 3 : 5 : 7 Work out the length of the longest side of the triangle.... cm (Total for Question 7 is 3 marks) *P38579A0724* 7
4 84 E = {2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12} A = {odd numbers} P = {prime numbers} List the members of the set (i) A P,... (ii) A P.... (Total for Question 8 is 2 marks) 95 Ella invested $8000 for 3 years at 5% per annum compound interest. Calculate the value of her investment at the end of 3 years. $... (Total for Question 9 is 3 marks) 8 *P38579A0824*
5 19 6 The table shows information about the numbers of text messages sent by 40 teenagers in one day. Number of text messages Number of teenagers Mid-interval value 0 to to to to to 17 1 (a) Write down the modal class.... (1) (b) Work out an estimate for the mean number of texts sent by the 40 teenagers in one day.... (4) (Total for Question 19 is 5 marks) *P40610A01920* 19
6 15 7 (a) Simplify 2 8( x 3) 4( x 3)... (b) Factorise a (c) Make q the subject of the formula p = q 5r (d) Solve 4 y 4 = 5 q =... y =... (3) (Total for Question 15 is 9 marks) *P38577A01324* 13
7 16 8 The incomplete table shows information about the times, in minutes, that runners took to complete a race. Time (t minutes) 30 t t t t t 80 Number of runners (a) Use the histogram to calculate the number of runners who took between 40 and 50 minutes to complete the race. (b) Complete the histogram for the remaining results.... Frequency density Time (t minutes) 16 *P40612A01620*
8 Runners who achieved a time between 37 and 48 minutes to complete the race were each awarded a silver medal. (c) Calculate an estimate of the number of runners awarded silver medals Show that the recurring decimal (Total for Question 16 is 6 marks) (Total for Question 17 is 2 marks) *P40612A01720* 17
9 Show that 2 State the value of k. can be expressed in the form k where k is an integer. k =... (Total for Question 19 is 3 marks) Simplify fully x 2 x... (Total for Question 20 is 3 marks) *P40612A01920* 19
10 21 12 B (x + 5) cm C Diagram NOT accurately drawn x cm A (x + 8) cm D The diagram shows a trapezium ABCD with AD parallel to BC. AB = x cm, BC = (x + 5) cm and AD = (x + 8) cm. The area of the trapezium is 42 cm 2. (a) Show that 2x 2 +13x 84 = 0 (b) Calculate the perimeter of the trapezium.... cm (5) (Total for Question 21 is 7 marks) TOTAL FOR PAPER IS 100 MARKS 20 *P40612A02020*
11 13 21 ABCDE is a square-based pyramid. B 15 cm AE = BE = CE = DE = 12 cm AB = 15 cm Calculate the size of angle DEB. Give your answer to the nearest degree. C E A 12 cm Diagram NOT accurately drawn D... DO NOT WRITE IN THIS AREA DO NOT WRITE IN THIS AREA DO NOT WRITE IN THIS AREA (Total for Question 21 is 4 marks) 20 *P46917A02024*
12 14 21 The functions g and h are defined as x g(x) 2x 5 h(x) x + 4 (a) Find the value of g(1)... (1) (b) State which value of x must be excluded from any domain of g... (1) (c) Find gh(x) Simplify your answer. gh(x)... (d) Express the inverse function g 1 in the form g 1 (x)... g 1 (x)... (3) (Total for Question 21 is 7 marks) *P44619A01720* 17
13 18 15 C B Diagram NOT accurately drawn 9 cm A 9 cm O 35 D AOD is a diameter of a circle, with centre O and radius 9 cm. ABC is an arc of the circle. AC is a chord. Angle ADC = 35 Calculate the area of the shaded segment. Give your answer correct to 3 significant figures.... cm 2 (Total for Question 18 is 65 marks) 18 *P40612A01820*
14 19 16 y y = kx A( p, q) y = N x O x The diagram shows the straight line with equation y = kx intersecting N the curve with equation y = at the point A(p, q). x (a) Find p and find q. Give each answer in its simplest form, in terms of k and N. p =... q =... (3) Given that p = 2q (b) find the value of k. (Total for Question 19 is 5 marks) k =... *P44620A02324* 23
Mathematics Paper 2 (Calculator)
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Write your name here Surname Other names Edexcel International GCSE Centre Number Mathematics A Paper 3H Wednesday 11 January 2012 Morning Time: 2 hours Candidate Number Higher Tier Paper Reference 4MA0/3H
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