# 4MA1 Mathematics A May/June 2024 Paper 2H (Higher Tier Paper 2) Pearson Edexcel International GCSE 4MA1 Mathematics A past paper 2H, Higher Tier Paper 2, May/June 2024. Open it online or download the question paper PDF free. - Page: https://mathvsarham.com/past-papers/4ma1/2024-may-june-paper-2h/ - PDF: https://mathvsarham.com/papers/4ma1/4MA1_may-june_2024_paper_2H_qp.pdf - Board: Edexcel - Qualification: Pearson Edexcel International GCSE - Subject: 4MA1 Mathematics A (https://mathvsarham.com/past-papers/4ma1/) - Session: May/June 2024 - 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 Here are eight numbers written in order of size [Diagram or table: see page 3 of the paper] where h, j and k are integers. The median of the eight numbers is 10 The mode of the eight numbers is 18 The range of the eight numbers is 13 Work out the value of h, the value of j and the value of k Answer: h = ____ Answer: j = ____ Answer: k = ____ [3] Question 2 (a) On the grid, draw the straight line with equation (i) y = 2 (ii) x = 6 (iii) y = x + 1 Label each line with its equation. [Diagram or table: see page 4 of the paper] [3] (b) Show, by shading on the grid, the region that satisfies all three of the inequalities [Diagram or table: see page 4 of the paper] Label the region R [1] Question 3 A plane takes 9 hours 36 minutes to fly from New Delhi to Perth. The plane flies at an average speed of 820 km/h. Work out the total distance the plane flies. Answer: ____ _km [3] Question 4 Show that 2 4/7 × 3 1/9 = 8 [3] Question 5 The diagram shows triangle ABC [Diagram or table: see page 6 of the paper] Work out the value of x Give your answer correct to one decimal place. Answer: x = ____ [3] Question 6 Change a speed of w metres per second to a speed in kilometres per hour. Give your answer in terms of w in its simplest form. Answer: ____ _kilometres_per_hour [3] Question 7 The diagram shows a 6-sided shape ABCDEF [Diagram or table: see page 7 of the paper] The perpendicular height of the shape is h cm CD is parallel to AF The area of the shape is 390 cm^2 Work out the value of h Answer: h = ____ [4] Question 8 Ishir plants 600 bulbs in a garden. He plants tulip bulbs, crocus bulbs and daffodil bulbs so that number of tulip bulbs : number of crocus bulbs : number of daffodil bulbs = 9 : 4 : 2 45% of the tulip bulbs are for yellow flowers. 5/8 of the crocus bulbs are for yellow flowers. All of the daffodil bulbs are for yellow flowers. Work out the number of bulbs that are for yellow flowers. Answer: ____ [5] Question 9 Giovanni invests 4500 koruna in a savings account for 4 years. He gets 2.4% per year compound interest. Work out how much money Giovanni will have in the savings account at the end of 4 years. Give your answer correct to the nearest koruna. Answer: ____ _koruna [3] Question 10 Solve the simultaneous equations [Diagram or table: see page 10 of the paper] Show clear algebraic working. Answer: x = ____ Answer: y = ____ [3] Question 11 (i) Factorise x^2+ 9x – 22 Answer: ____ [2] (ii) Hence, solve x^2+ 9x – 22 = 0 Answer: ____ [1] Question 12 Ali uses a fitness tracker to count the number of steps he walks each day for 7 days. For the first 4 days, his mean number of steps is 11 800 For the next 3 days, his mean number of steps is 13 207 Work out his mean number of steps for the 7 days. Answer: ____ [3] Question 13 The table gives information about the distances, in km, that 70 teachers travel to school. [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. [2] 70 60 50 40 [Diagram or table: see page 13 of the paper] (c) Use your graph to find an estimate for the interquartile range of the distances. Answer: ____ _km [2] (d) Use your graph to find an estimate for the number of teachers who travel more than 46 km. Answer: ____ [2] Question 14 (a) Show that 3y(2y + 5)(y + 7) can be written in the form ay^3+ by^2+ cy where a, b and c are integers. [3] (b) Solve 2x + 3/5 + 6x − 5/4 = 163/100 Show clear algebraic working. Answer: x = ____ [4] Question 15 (a) Make g the subject of e = 7g + 5/11 + 2g Answer: ____ [4] (b) Solve the inequality 3y^2+ 4y – 32 > 0 Show your working clearly. Answer: ____ [3] Question 16 60 art students were asked if they would like to attend workshops for knitting (K), for photography (P) or for embroidery (E) Of these students 9 chose knitting, photography and embroidery 17 chose knitting and photography 16 chose photography and embroidery 20 chose knitting and embroidery 28 chose photography 39 chose embroidery 2 chose none of the workshops (a) Using this information, complete the Venn diagram to show the numbers of students in each subset. E [Diagram or table: see page 16 of the paper] [3] One of the students is chosen at random. Given that this student chose photography, (b) find the probability that this student also chose knitting. Answer: ____ [2] (c) Find n(P ∩ K¢) Answer: ____ [1] (d) Find n([P ∪ E] ∩ K) Answer: ____ [1] Question 17 Q is directly proportional to the square root of d Q = 4.5 when d = 324 Find a formula for Q in terms of d Answer: ____ [3] Question 18 The straight line P has equation 5y + 2x = 7 Find the gradient of a straight line that is perpendicular to P Answer: ____ c [2] Question 19 G = c = 8 correct to the nearest whole number f = 6.62 correct to 2 decimal places h = 1.2 correct to 1 decimal place Work out the lower bound for the value of G Give your answer correct to 3 decimal places. Show your working clearly. Answer: ____ [3] Question 20 Given that k = x – y and x = 1/4 y 5k a  by^2 x + 2 c  dy Answer: ____ [3] Question 21 The diagram shows a square ABCD and a circle. [Diagram or table: see page 20 of the paper] The sides of the square are tangents to the circle. The total area of the shaded regions is 80 cm^2 Work out the length of AC Give your answer correct to 3 significant figures. Answer: ____ _cm [5] Question 22 The straight line L has equation x + y = 5 The curve C has equation 2x^2+ 3y^2= 210 Find the coordinates of the points where L and C intersect. Show clear algebraic working. Answer: ( ____ , ____ ) ( ____ , ____ ) [Diagram or table: see page 23 of the paper] [5] Question 23 Simplify_4_x__9 [Diagram or table: see page 23 of the paper] Give your answer in the form 5^w where w is an expression in terms of x Show each stage of your working clearly. Answer: ____ [3] Question 24 [Diagram or table: see page 24 of the paper] The diagram shows a quadrilateral OACB in which [Diagram or table: see page 24 of the paper] (a) Find AC in terms of a and b Give your answer in its simplest form. [Diagram or table: see page 24 of the paper] Answer: AC = ____ [2] The point P lies on AC such that AP : PC = 3 : 2 The point Q is such that OPQ and BCQ are straight lines. (b) Using a vector method, find OQ in terms of a and b Give your answer in its simplest form. Show your working clearly. [Diagram or table: see page 25 of the paper] Answer: OQ = ____ [4] Question 25 The diagram shows a sketch of the graph of y = 2sin(x + 60)° [Diagram or table: see page 26 of the paper] (i) Find the coordinates of the point A Answer: ( ____ , ____ ) [1] (ii) Find the coordinates of the point B Answer: ( ____ , ____ ) [1]