# 4MA1 Mathematics A Oct/Nov 2023 Paper 2H (Higher Tier Paper 2) Pearson Edexcel International GCSE 4MA1 Mathematics A past paper 2H, Higher Tier Paper 2, Oct/Nov 2023. Open it online or download the question paper PDF free. - Page: https://mathvsarham.com/past-papers/4ma1/2023-oct-nov-paper-2h/ - PDF: https://mathvsarham.com/papers/4ma1/4MA1_oct-nov_2023_paper_2H_qp.pdf - Board: Edexcel - Qualification: Pearson Edexcel International GCSE - Subject: 4MA1 Mathematics A (https://mathvsarham.com/past-papers/4ma1/) - Session: Oct/Nov 2023 - Paper: 2H (Higher Tier Paper 2) - Component code: 4MA1/2H - 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 The table shows information about the lengths, in minutes, of 50 telephone calls. [Diagram or table: see page 3 of the paper] 10 < m 15 15 < m 20 20 < m 25 25 < m 30 (a) Write down the modal class. Answer: ____ [1] (b) Work out an estimate for the total length, in minutes, of these telephone calls. Answer: ____ minutes [3] Question 2 The diagram shows triangle ABC and triangle ECD [Diagram or table: see page 4 of the paper] ACD and EBC are straight lines. [Diagram or table: see page 4 of the paper] Work out the value of w Give your answer correct to one decimal place. Answer: w = ____ [4] Question 3 [Diagram or table: see page 5 of the paper] (a) Reflect shape T in the line y = x [2] [Diagram or table: see page 5 of the paper] (b) Describe fully the single transformation that maps triangle A onto triangle B Answer: ____ [3] Question 4 (a) Solve 2x  5/6  2x  5 Show clear algebraic working. Answer: x = ____ [3] (b) Simplify h^15 ÷ h^3 Answer: ____ [1] (c) Simplify fully 2g^3 k^5 [Diagram or table: see page 6 of the paper] Answer: ____ [2] (d) Given that  y/y_7  y work out the value of n Answer: n = ____ [2] Question 5 Avril bakes a cake. She uses flour, butter and sugar such that [Diagram or table: see page 7 of the paper] Avril uses 120 grams of sugar. Work out the weight of flour Avril uses. Answer: ____ grams [3] Question 6 Show that 3 3/7  2 2/3  1 2/7 [3] Question 7 Hermione buys a boat for $26 800 The value of the boat depreciates by 8% each year. Work out the value of the boat at the end of 3 years. Give your answer correct to the nearest dollar. Answer: $ ____ [3] Question 8 The mean number of goals scored by a hockey team in 8 matches is 6 The team plays 2 more matches and scores k goals in each match. The mean number of goals scored by the hockey team in the 10 matches is 7 Work out the value of k Answer: k = ____ [3] Question 9 A straight line passes through the points with coordinates (0, –3) and (2, 0) Find an equation of the line. Answer: ____ [2] Question 10 The diagram shows a hexagon ABCDEF [Diagram or table: see page 10 of the paper] The area of hexagon ABCDEF is 258 cm² Work out the value of x Answer: x = ____ [5] Question 11 Sid has 2 boxes of crayons, box X and box Y 5 of the 16 crayons in box X are red. 7 of the 20 crayons in box Y are red. Sid takes at random one crayon from box X and one crayon from box Y (a) Complete the probability tree diagram. [Diagram or table: see page 11 of the paper] [2] (b) Work out the probability that Sid takes two crayons that are red or two crayons that are not red. Answer: ____ [3] Question 12 2^7  4^5  4^x (a) Calculate the value of x Answer: x = ____ [2] (b) Simplify fully 125 p^6 y^24^2/3 [Diagram or table: see page 12 of the paper] Answer: ____ [2] Question 13 Robert asked 11 people how many meetings they attended last week. Here are the results in numerical order. [Diagram or table: see page 12 of the paper] Find the interquartile range of the number of meetings. Answer: ____ [Diagram or table: see page 13 of the paper] [2] Question 14 Here is the graph of the equation 2 y  x  1 drawn on a grid. [Diagram or table: see page 13 of the paper] By drawing another straight line on the grid, solve the simultaneous equations [Diagram or table: see page 13 of the paper] Answer: x = ____ Answer: y = ____ [3] Question 15 (a) Use algebra to show that 0.37 2  41/110 [2] [Diagram or table: see page 14 of the paper] (b) Express in the form n where n is an integer. Show your working clearly. Answer: ____ [3] Question 16 Expand and simplify (2x + 3)(x – 5)(x + 4) Answer: ____ [3] Question 17 P  a(c  y) a = 8.3 correct to 2 significant figures c = 2 correct to 1 significant figure y = 15 correct to the nearest 5 Work out the upper bound for the value of P Show your working clearly. Answer: ____ [3] Question 18 A particle is moving along a straight line that passes through the fixed point O The displacement, s metres, of the particle from O at time t seconds is given by [Diagram or table: see page 16 of the paper] Find the value of t when the acceleration of the particle is 5 m/s² Answer: t = ____ [4] Question 19 The functions f and g are such that [Diagram or table: see page 17 of the paper] (a) State which value of x cannot be included in any domain of g Answer: ____ [1] (b) Find fg(4) Answer: ____ [2] The function h is such that [Diagram or table: see page 17 of the paper] (c) Express the inverse function h^−1 in the form h^−^1:x  ... Answer: h^−^1:x  ____ [4] Question 20 The diagram shows equilateral triangle ABC with sides of length 10 cm. A circle is drawn inside the triangle. [Diagram or table: see page 18 of the paper] D, E and F are points on the circle. ADB, BEC and CFA are tangents to the circle. Calculate the total area of the regions shown shaded in the diagram. Give your answer correct to 3 significant figures. Answer: ____ cm^2 [4] Question 21 The line with equation x  2 y  5 intersects the curve with equation x^2  3y^2  13 at the points A and B Find the coordinates of A and the coordinates of B Show clear algebraic working. Answer: ( ____ , ____ ) Answer: ( ____ , ____ ) [5] Question 22 [Diagram or table: see page 20 of the paper] OACB is a quadrilateral. [Diagram or table: see page 20 of the paper] (a)(i) Find the vector in terms of a and b Simplify your answer. Answer: = ____ [1] (ii) Find the vector in terms of a and b Answer: = ____ [1] The point P lies on AB and on OC (b) Using a vector method, find the ratio AP : PB Show your working clearly. Answer: ____ [3] Question 23 Here is a frustum of a cone. The frustum is made by removing a small cone from a similar large cone. [Diagram or table: see page 22 of the paper] The height of the large cone is 15 cm. The radius of the base of the large cone is 6 cm. The radius of the base of the small cone is x cm. Given that the volume of the frustum is 4212/25 π cm^3 work out the value of x Show clear algebraic working. Answer: x = ____ ^3  [5] Question 24 Solve 45x/3x_2  80x/ x  4  1/3x  4 1 /x  4(x  2)/5x  8 Show clear algebraic working. Answer: x = ____ [5]