# 4MA1 Mathematics A May/June 2026 Paper 2HR (Higher Tier Paper 2) Pearson Edexcel International GCSE 4MA1 Mathematics A past paper 2HR, Higher Tier Paper 2, May/June 2026. Open it online or download the question paper PDF free. - Page: https://mathvsarham.com/past-papers/4ma1/2026-may-june-paper-2hr/ - PDF: https://mathvsarham.com/papers/4ma1/4MA1_may-june_2026_paper_2HR_qp.pdf - Board: Edexcel - Qualification: Pearson Edexcel International GCSE - Subject: 4MA1 Mathematics A (https://mathvsarham.com/past-papers/4ma1/) - Session: May/June 2026 - Paper: 2HR (Higher Tier Paper 2) - Component code: 4MA1/2HR - Time allowed: 120 minutes - Total marks: 100 - Pages: 28 ## Question paper text Extracted automatically from the PDF; diagrams are missing and notation may be imperfect. Question 1 The diagram shows a right‑angled triangle. [Diagram or table: see page 3 of the paper] Work out the value of x Answer: x = ____ [3] Question 2 Here are the first five terms of an arithmetic sequence. [Diagram or table: see page 4 of the paper] Find an expression, in terms of n, for the nth term of this sequence. Answer: ____ [2] Question 3 E = {integers from 1 to 12} A = {factors of 12} List the members of the set A′ Answer: ____ [1] Question 4 (a) Solve 3(x + 2) = 1 – 5x Show clear algebraic working. Answer: x = ____ [3] P = c^2– 5d (b) Work out the value of P when c = –7 and d = 3 Answer: P = ____ [2] (c) Simplify m^0 Answer: ____ [1] (d) Simplify (4r^2 t)^3 Answer: ____ [2] Question 5 Sarah and Dej each give some money to charity A and to charity B Sarah shares $400 between charity A and charity B in the ratio 2 : 3 Dej shares $375 between the two charities. He gives twice as much money to charity B as he gives to charity A Dej gives more money to charity B than Sarah gives to charity B How much more? Answer: $ ____ [5] Question 6 Mika has six cards. There is a number on each card. The cards are arranged with the numbers in order of size. Three of the numbers are hidden. [Diagram or table: see page 7 of the paper] The mode of the six numbers is 8 The range of the six numbers is 7 The sum of the six numbers is 31 Work out the median of the six numbers. Answer: ____ [4] Question 7 (a) Write 4 × 10^–5 as an ordinary number. Answer: ____ [1] (b) Work out (6 × 10^158) × (2 × 10^72) Give your answer in standard form. Answer: ____ [2] Question 8 Lauren’s salary increased by 4% After the increase, her salary was 36 400 euros. Work out Lauren’s salary before the increase. Answer: ____ _euros [3] Question 9 Change a speed of 198 kilometres per hour to a speed in metres per second. Show your working clearly. Answer: ____ _m/s [3] Question 10 The diagram shows a solid cylinder. [Diagram or table: see page 10 of the paper] The cylinder has radius 4 cm and height 11 cm The cylinder is made from wood with a density of 0.6 g/cm^3 Work out the mass of the cylinder. Give your answer correct to 3 significant figures. Answer: ____ _g [3] Question 11 The diagram shows a square ABCD and a right‑angled triangle EFG [Diagram or table: see page 11 of the paper] The area of square ABCD is 36 cm^2 DC = EG Work out the area of triangle EFG Give your answer correct to one decimal place. Show your working clearly. Answer: ____ _cm^2 [5] Question 12 y 6 5 [Diagram or table: see page 12 of the paper] The region R, shown shaded in the diagram, is bounded by the y‑axis and the straight lines with equations [Diagram or table: see page 12 of the paper] 2x + 5y = 12 Write down the three inequalities that define R Answer: ____ [3] Question 13 (a) Complete the table of values for y = x + 1/x [Diagram or table: see page 13 of the paper] [2] (b) On the grid, draw the graph of y = x + 1/x for 0.25  x  5 [Diagram or table: see page 13 of the paper] [2] Question 14 Pras has 2 bags of counters, bag A and bag B In bag A, there are 4 green counters and 3 red counters. In bag B, there are 5 green counters and 1 red counter. Pras is going to take at random a counter from bag A and a counter from bag B (a) Complete the probability tree diagram. [Diagram or table: see page 14 of the paper] Answer: ____ [Diagram or table: see page 14 of the paper] Answer: ____ Answer: ____ [Diagram or table: see page 14 of the paper] Answer: ____ [Diagram or table: see page 14 of the paper] Answer: ____ Red [2] (b) Work out the probability that Pras will take two green counters. Answer: ____ [2] Pras also has a third bag of counters, bag C In bag C, there are only green counters and red counters. All the original counters are back in bag A and bag B Pras is going to take at random a counter from bag A, a counter from bag B and a counter from bag C The probability that Pras will take three red counters is 3/70 (c) Work out the probability that Pras will take 1 green counter and 2 red counters. Answer: ____ [4] Question 15 Mina recorded the times taken, in minutes, by 11 people to complete a puzzle. Here are her results. [Diagram or table: see page 16 of the paper] Find the interquartile range of these times. Answer: ____ _minutes  1 _n [2] Question 16  a    a  Work out the value of n Answer: n = ____ [Diagram or table: see page 17 of the paper] [2] Question 17 Use algebra to show that 0.814 = 22/27 [2] Question 18 Here are two vectors. [Diagram or table: see page 17 of the paper] Find AC as a column vector. Answer: ____ Answer: ____ [2] Question 19 The table gives information about the times, in minutes, some people spent waiting to go on a rollercoaster. Time (t minutes) Frequency 0 < t  20 20 < t  25 25 < t  35 35 < t  50 On the grid, draw a histogram for this information. [Diagram or table: see page 18 of the paper] [3] Question 20 Make x the subject of y  3x  5/4  2x Answer: ____ [3] Question 21 [Diagram or table: see page 19 of the paper] d = 6.6 correct to 1 decimal place e = 2.8 correct to 1 decimal place f = 0.47 correct to 2 decimal places Calculate the lower bound for the value of p Give your answer correct to 3 significant figures. Show your working clearly. Answer: ____ [3] Question 22 Solve the simultaneous equations [Diagram or table: see page 20 of the paper] Show clear algebraic working. Answer: ____ [5] Question 23 K, L and M are three similar solids. volume of K : volume of L = 125 : 216 surface area of K : surface area of M = 4 : 9 The height of M is y% greater than the height of L Work out the value of y Show your working clearly. Answer: y = ____ [5] Question 24 A [Diagram or table: see page 22 of the paper] AB, BC and CD are three sides of a regular polygon. ABE is a straight line. BCE is a sector of a circle with centre B and radius 4.5 cm The length of arc CE is 3/10 π cm Work out the sum of the interior angles of the regular polygon. [Diagram or table: see page 22 of the paper] Answer: ____ [4] Question 25 The graph of y = a sin(x + b)° for 0  x  360 is drawn on the grid below. [Diagram or table: see page 23 of the paper] Given that a < 0 and that 0 < b < 360 (a) find the value of a and the value of b Answer: a = ____ Answer: b = ____ [2] A curve has equation y = f(x) The point T with coordinates (p, q) lies on the curve. (b) Find the coordinates of the image of T on the curve with equation [Diagram or table: see page 23 of the paper] Give your coordinates in terms of p and q Answer: ( ____ , ____ ) [2] Question 26 Here are the first four terms of an arithmetic series. [Diagram or table: see page 24 of the paper] The sum of the first 2n terms of the series is 4 times the sum of the first n terms of the series. Work out the numerical value of the 100th term of the series. Show your working clearly. Answer: ____ [6] Question 27 Bryan owns a house. During 2024, the value of Bryan’s house increased by x% During 2025, the value of Bryan’s house increased by 2x% Overall, during 2024 and 2025, the value of Bryan’s house increased by 38.88% Work out the value of x Show clear algebraic working. Answer: x = ____ [4]