# 4MA1 Mathematics A May/June 2025 Paper 2H (Higher Tier Paper 2) Pearson Edexcel International GCSE 4MA1 Mathematics A past paper 2H, Higher Tier Paper 2, May/June 2025. Open it online or download the question paper PDF free. - Page: https://mathvsarham.com/past-papers/4ma1/2025-may-june-paper-2h/ - PDF: https://mathvsarham.com/papers/4ma1/4MA1_may-june_2025_paper_2H_qp.pdf - Board: Edexcel - Qualification: Pearson Edexcel International GCSE - Subject: 4MA1 Mathematics A (https://mathvsarham.com/past-papers/4ma1/) - Session: May/June 2025 - Paper: 2H (Higher Tier Paper 2) - Component code: 4MA1/2H - 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 Rio has six cards. He writes a number on each card so that the range of the numbers is 10 the median of the numbers is 7.5 the mode of the numbers is 6 Rio arranges the cards so that the numbers are in order of size. [Diagram or table: see page 3 of the paper] Three of the numbers are hidden. Complete the cards above to show the three numbers that are hidden. [3] Question 2 [Diagram or table: see page 4 of the paper] (a) On the grid, enlarge shape A with scale factor 3 and centre (0, 1) [2] [Diagram or table: see page 4 of the paper] (b) Describe fully the single transformation that maps triangle P onto triangle Q Answer: ____ [3] Question 3 Show that 7 1/3  3 4/7  316/21 [3] Question 4 Using ruler and compasses only, construct the perpendicular bisector of the line AB Show all your construction lines. [Diagram or table: see page 5 of the paper] [2] Question 5 The diagram shows two similar quadrilaterals, ABCD and EFGH [Diagram or table: see page 6 of the paper] (a) Work out the value of x Answer: x = ____ [2] (b) Work out the value of y Answer: y = ____ [2] Question 6 Pau, Sam and Tia share £240 in the ratios 3 : 4 : 5 Sam and Tia each give £10 of their share to Pau. Work out the ratios of the amounts of money that Pau, Sam and Tia now have. Give your answer in its simplest form. Answer: ____ _: ____ _: ____ [4] Question 7 Tim buys a bracelet for 4000 Swiss francs. The value of the bracelet increases by 7% each year. Work out the value of the bracelet at the end of 3 years. Give your answer correct to the nearest Swiss franc. Answer: ____ _Swiss_francs [3] Question 8 Solve the simultaneous equations [Diagram or table: see page 8 of the paper] Show clear algebraic working. Answer: x = ____ Answer: y = ____ [3] Question 9 (a) Solve the inequality 7 – 3t < 2t + 15 Answer: ____ [2] The region R, shown shaded in the diagram, is bounded by three straight lines. [Diagram or table: see page 9 of the paper] (b) Write down three inequalities that define the region R Answer: ____ [3] Question 10 ABD and ABC are right‑angled triangles. [Diagram or table: see page 10 of the paper] AB = 16 cm BC = 12 cm AD = 1.5 × AC Find the length of CD Give your answer correct to 3 significant figures. Answer: ____ cm [5] Question 11 Khalid has a box of counters. 17 of the counters are red 28 of the counters are blue the rest of the counters are orange Khalid is going to take at random a counter from the box. The probability that Khalid will take an orange counter is Work out the number of orange counters that are in the box. Answer: ____ [3] Question 12 Expand and simplify 3x 2x  57x  4 Answer: ____ [3] Question 13 The frequency table gives information about the times, in minutes, that 60 people took to complete a puzzle. [Diagram or table: see page 12 of the paper] (a) Complete the cumulative frequency table. [Diagram or table: see page 12 of the paper] [1] (b) On the grid opposite, draw a cumulative frequency graph for your table. [Diagram or table: see page 13 of the paper] [2] (c) Use your graph to find an estimate for the median time. Answer: ____ minutes [1] (d) Use your graph to find an estimate for the number of these people who took more than 45 minutes to complete the puzzle. Answer: ____ [2] Question 14 Here are five graphs. [Diagram or table: see page 14 of the paper] (a) Write down the letter of the graph that could have the equation y  5  x^2 Answer: ____ [1] (b) Write down the letter of the graph that could have the equation y = 2x^3 Answer: ____ [1] [Diagram or table: see page 15 of the paper] Question 15 Simplify fully / / [Diagram or table: see page 15 of the paper] Answer: ____ [3] Question 16 Make t the subject of the formula c  t/7  8t_2 Answer: ____ [4] Question 17 y  4x^3  5x^2  2x (a) Find dy/dx Answer: dy/dx = ____ [2] (b) Find the coordinates of the turning points on the graph with equation y  4x^3  5x^2  2x Show clear algebraic working. Answer: ____ [4] Question 18 Use algebra to show that 0 .7 0 2  26/37 [2] Question 19 Solve the inequality 4x^2  4x 15  0 Show clear algebraic working. Answer: ____ [3] Question 20 120 gardeners were asked if they grow carrots (C) or potatoes (P) or tomatoes (T) Of these gardeners 43 grow carrots 12 grow carrots and potatoes and tomatoes 18 grow carrots and potatoes 27 grow carrots and tomatoes 32 grow potatoes and tomatoes 29 do not grow carrots or potatoes or tomatoes The number of these gardeners who grow only potatoes is equal to the number of these gardeners who grow only tomatoes. (a) Complete the Venn diagram to show this information. E [Diagram or table: see page 18 of the paper] [3] (b) Find n(T   C) Answer: ____ [1] One of the gardeners who grows carrots is chosen at random. (c) Calculate the probability that this gardener also grows potatoes. Answer: ____ [2] Question 21 The diagram shows a cuboid. [Diagram or table: see page 19 of the paper] The cuboid measures 3x cm by 2x cm by y cm The volume of the cuboid is 1014 cm³ The total surface area of the cuboid is A cm² Show that A  12x^2  1690/x You must show all the stages of your working. [3] Question 22 The diagram shows a square inside rectangle ABCD [Diagram or table: see page 20 of the paper] The total area of the region shown shaded in the diagram is X cm² AB = 11 .5 cm correct to the nearest 0.5 cm BC = 9.2 cm correct to 2 significant figures side of square = 4.1 cm correct to 2 significant figures By considering bounds, work out the value of X to a suitable degree of accuracy. Show your working clearly. Answer: X = ____ [4] Question 23 [Diagram or table: see page 21 of the paper] Find the value of p Show clear algebraic working. Answer: p = ____ [4] Question 24 The diagram shows a square‑based pyramid ABCDE [Diagram or table: see page 22 of the paper] EA = EB EC== ED M is the centre of the horizontal square base ABCD Q is the midpoint of AB Angle EQM  80 EA : AB = n :1 Find the value of n Give your answer correct to 3 significant figures. Answer: n = ____ [4] Question 25 (a) Write 28  24x  6x^2 in the form a − b(x − c)^2 where a, b and c are integers. Answer: ____ [3] (b) On the axes below, sketch the graph of y  28  24x  6x^2 Show clearly the coordinates of the turning point and the coordinates of the point of intersection of the graph with the y‑axis. [Diagram or table: see page 25 of the paper] [3] Question 26 A and B are two similar solids. The height of solid A is 31 cm The height of solid B is 18.6 cm Given that [Diagram or table: see page 26 of the paper] find the volume of solid A Answer: ____ cm³ [4]