# 4MA1 Mathematics A May/June 2018 Paper 2HR (Higher Tier Paper 2) Pearson Edexcel International GCSE 4MA1 Mathematics A past paper 2HR, Higher Tier Paper 2, May/June 2018. Open it online or download the question paper PDF free. - Page: https://mathvsarham.com/past-papers/4ma1/2018-may-june-paper-2hr/ - PDF: https://mathvsarham.com/papers/4ma1/4MA1_may-june_2018_paper_2HR_qp.pdf - Board: Edexcel - Qualification: Pearson Edexcel International GCSE - Subject: 4MA1 Mathematics A (https://mathvsarham.com/past-papers/4ma1/) - Session: May/June 2018 - Paper: 2HR (Higher Tier Paper 2) - Component code: 4MA1/2HR - Time allowed: 120 minutes - Total marks: 100 - Pages: 24 ## Question paper text Extracted automatically from the PDF; diagrams are missing and notation may be imperfect. Question 1 x, 10 and y are three integers written in order of size, starting with the smallest integer. The mean of x, 10 and y is 11 The range of x, 10 and y is 7 Work out the value of x and the value of y. Answer: x = ____ Answer: y = ____ [Diagram or table: see page 3 of the paper] [2] Question 2 A box is put on a table. The face of the box in contact with the table is in the shape of a rectangle, 2 m by 1.25 m. The pressure on the table due to the box is 42 newtons/m^2 Work out the force exerted by the box on the table. Answer: ____ _newtons [3] Question 3 Behnaz makes candles. She has 6.3 kilograms of wax and uses it all to make candles. Each candle Behnaz makes uses 210 grams of wax. Behnaz sells 2/5 of the candles for $13 each. She then reduces this price by 20% and sells the rest of the candles. Work out the total amount of money Behnaz gets by selling all the candles she made. Answer: $ ____ [4] Question 4 (a) Expand and simplify 3(c – 7) + 2(3c + 4) Answer: ____ [2] (b) Expand and simplify (x + 7)(x – 2) Answer: ____ [2] (c) Factorise fully 28y^2– 21y Answer: ____ [2] (d) Solve 7x − 2/4 = 3x + 1 Show clear algebraic working. Answer: x = ____ [3] Question 5 Abelie flew by plane from Dubai to Rome. The flight time was 6 hours 42 minutes. The average speed of the plane was 650 kilometres per hour. Work out the distance the plane flew. Answer: ____ kilometres [3] Question 6 Hiran invests 20 000 rupees in an account for 3 years at 1.5% per year compound interest. Work out the total amount of money in the account at the end of 3 years. Give your answer to the nearest rupee. Answer: ____ rupees [3] Question 7 (a) Simplify fully 20x y/4x y_2_2 Answer: ____ [2] (b) Make e the subject of the formula h = 3e + f Answer: ____ [2] Question 8 From point A, Stanley walks 200 m due east to point B. From B, he then walks 160 m due south to point C. Work out the length of AC. Give your answer correct to 3 significant figures. Answer: ____ metres [3] Question 9 [Diagram or table: see page 8 of the paper] The diagram shows a regular pentagon, ABCDE, a regular octagon, ABFGHIJK, and an isosceles triangle, BCF. Work out the size of angle x. [Diagram or table: see page 8 of the paper] Answer: ____ [4] Question 10 ABCD is a trapezium. [Diagram or table: see page 9 of the paper] Work out the size of angle x. Give your answer correct to 1 decimal place. [Diagram or table: see page 9 of the paper] Answer: ____ [4] Question 11 The table shows information about the amount of money spent on holiday by each of 120 families. [Diagram or table: see page 10 of the paper] (a) Write down the modal class. Answer: ____ [1] (b) Complete the cumulative frequency table for the information in the table. [Diagram or table: see page 10 of the paper] [1] (c) On the grid, draw a cumulative frequency graph for your table. [2] [Diagram or table: see page 11 of the paper] (d) Use your graph to find an estimate for the interquartile range. Answer: £ ____ [2] (e) Use your graph to find an estimate for the number of families that spent more than £450 on holiday. Answer: ____ [2] Question 12 [Diagram or table: see page 12 of the paper] A, C and D are points on a circle, centre O. AB and CB are tangents to the circle. Angle ABC = 74° Work out the size of angle ADC. Show your working clearly. [Diagram or table: see page 12 of the paper] Answer: ____ [3] Question 13 The straight line L_1 has equation y = 6 – 2x The straight line L_2 is perpendicular to L_1 and passes through the point (4, 7) Find the coordinates of the point where the line L_2 crosses the x-axis. Answer: ( ____ , ____ ) [4] Question 14 128 = 4^2^x q 2^x Work out the value of x. Answer: x = ____ [3] Question 15 The Venn diagram shows a universal set, E, and sets A, B and C. [Diagram or table: see page 14 of the paper] 7, 3, 8, 1, 4 and 9 represent the numbers of elements. Find (i) n(A ‰ B ) Answer: ____ (ii) n($үˆC ) Answer: ____ (iii) n($ү ‰%ү ) Answer: ____ [3] Question 16 There are 8 counters in a bag. There is a number on each counter. [Diagram or table: see page 15 of the paper] Fiona takes at random three of the counters. She adds the numbers on the three counters to get her total. Work out the probability that her total is an odd number. Answer: ____ [Diagram or table: see page 16 of the paper] [4] Question 17 (a) Use algebra to show that 0. 436 = 24/55 [2] (b) Show that 20 +/3 can be expressed in the form a where a is an integer. Show your working clearly. [3] Question 18 Solve the simultaneous equations [Diagram or table: see page 17 of the paper] Show clear algebraic working. Answer: ____ [Diagram or table: see page 18 of the paper] [5] Question 19 a = p = 8.4 correct to 2 significant figures. q = 6.3 correct to 2 significant figures. t = 0.27 correct to 2 significant figures. Work out the upper bound for the value of a. Show your working clearly. Give your answer correct to 1 decimal place. Answer: ____ [3] Question 20 Solve the inequality 4x^2– 5x – 6  0 Answer: ____ [4] Question 21 Here is the graph of y = f(x) [Diagram or table: see page 20 of the paper] (a) On the grid above, draw the graph of y = 2f(x) [2] Here is the graph of y = f(x) [Diagram or table: see page 21 of the paper] (b) On the grid above, draw the graph of y = f(–x) [2] [Diagram or table: see page 22 of the paper] Question 22 Express 4x/5x− 25/+ 2x − 7 × ⎛/⎝ x − 3 − 3/2x − 5⎠ as a single fraction in its simplest form. _2 ⎜ ⎟ Answer: ____ [4] Question 23 OAB is a triangle. → → OA = a OB = b C is the midpoint of OA. D is the point on AB such that AD : DB = 3 : 1 E is the point such that OB = 2BE Using a vector method, prove that the points C, D and E lie on the same straight line. [5] Question 24 (a) Express 7 – 4x – x^2 in the form p – (x + q)^2 where p and q are constants. Answer: ____ [2] (b) Use your answer to part (a) to solve the equation 7 – 4( y + 3) – ( y + 3)^2= 0 Give your solutions in the form e ± f where e and f are integers. Answer: ____ [3] The curve C has equation y = 3 – 5(x + 1)^2 The point A is the maximum point on C. (c) Write down the coordinates of A. Answer: ( ____ , ____ ) [1]