# 4MA1 Mathematics A Oct/Nov 2024 Paper 2H (Higher Tier Paper 2) Pearson Edexcel International GCSE 4MA1 Mathematics A past paper 2H, Higher Tier Paper 2, Oct/Nov 2024. Open it online or download the question paper PDF free. - Page: https://mathvsarham.com/past-papers/4ma1/2024-oct-nov-paper-2h/ - PDF: https://mathvsarham.com/papers/4ma1/4MA1_oct-nov_2024_paper_2H_qp.pdf - Board: Edexcel - Qualification: Pearson Edexcel International GCSE - Subject: 4MA1 Mathematics A (https://mathvsarham.com/past-papers/4ma1/) - Session: Oct/Nov 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 Show that 15/7  2 3/16  3 3/4 [3] Question 2 The length of a table is measured as 1.4 metres correct to one decimal place. (a) Write down the upper bound of the length of the table. Answer: ____ metres [1] (b) Write down the lower bound of the length of the table. Answer: ____ metres [1] Question 3 The diagram shows triangle PQR [Diagram or table: see page 4 of the paper] Work out the value of x Give your answer correct to one decimal place. Answer: x = ____ [3] Question 4 N is a number. [Diagram or table: see page 5 of the paper] (a) Work out the value of N Answer: N = ____ [2] In 2019, the population of a village was 650 In 2020, the population of the village was 806 (b) Work out the percentage increase in the population. Answer: ____ % [3] Question 5 Cody has a biased 5-sided spinner, numbered 1, 2, 3, 4, 5 The table gives the probabilities that when the spinner is spun it will land on 2 or on 3 or on 5 [Diagram or table: see page 6 of the paper] The probability that the spinner will land on 1 is the same as the probability that the spinner will land on 4 Cody is going to spin the spinner 400 times. Work out an estimate for the number of times the spinner will land on 4 Answer: ____ [4] Question 6 The diagram shows a solid triangular prism. [Diagram or table: see page 7 of the paper] Work out the total surface area of the triangular prism. Answer: ____ cm^2 [3] Question 7 (a) On the grid, draw the straight line with equation (i) x = 3 (ii) y = 1 (iii) x  y  7 Label each line with its equation. [Diagram or table: see page 8 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 8 of the paper] Label the region R [1] Question 8 Kim puts 4 bananas in a bag. The mean weight of the 4 bananas in the bag is 145 grams. Andy puts one more banana into the bag. The mean weight of the 5 bananas in the bag is 142 grams. Work out the weight of the banana that Andy puts into the bag. Answer: ____ grams [3] Question 9 Nisha invests 20 000 euros for 3 years in a savings account. She gets 3.5% per year compound interest. Work out how much money Nisha will have in her savings account at the end of the 3 years. Give your answer correct to the nearest euro. Answer: ____ euros [3] Question 10 All the students in year 10 and all the students in year 11 named their favourite science subject from Biology, Chemistry and Physics. The pie chart shows information about the results for the year 10 students. The table shows information about the results for the year 11 students. [Diagram or table: see page 10 of the paper] There are 300 students in year 10 There are 320 students in year 11 More students in year 10 than in year 11 said Biology was their favourite science subject. How many more? Answer: ____ [5] Question 11 [Diagram or table: see page 12 of the paper] ABCDE is a regular pentagon. DEFGHI is a regular hexagon. AF is a straight line. Work out the size of angle EAF [Diagram or table: see page 12 of the paper] Answer: ____ [5] Question 12 (a) Solve 3x  2/5  2x  1/3  x Show clear algebraic working. Answer: x = ____ [3] (b) Make c the subject of the formula f  [Diagram or table: see page 13 of the paper] Answer: ____ [4] Question 13 The frequency table gives information about the weights, in kilograms, of 60 parcels in a delivery van. [Diagram or table: see page 14 of the paper] (a) Complete the cumulative frequency table. [Diagram or table: see page 14 of the paper] [1] (b) On the grid opposite, draw a cumulative frequency graph for your table. [2] [Diagram or table: see page 15 of the paper] (c) Use your graph to find an estimate for the median weight of the 60 parcels. Answer: ____ kilograms [1] (d) Use your graph to find an estimate for the number of these parcels that weigh more than 3.7 kilograms. Answer: ____ [2] [Diagram or table: see page 16 of the paper] Question 14 Given that  3^3  3^1^^2^n [Diagram or table: see page 16 of the paper] find the value of n Show your working clearly. Answer: n = ____ [3] Question 15 Use algebra to show that 0.7 63  42/55 [2] Question 16 A, B, C and D are points on a circle, centre O [Diagram or table: see page 17 of the paper] (a)(i) Work out the size of angle AOD [Diagram or table: see page 17 of the paper] Answer: ____ [1] (ii) Give a reason for your answer to part (a)(i) Answer: ____ [1] (b) Work out the size of angle CAO [Diagram or table: see page 17 of the paper] Answer: ____ [1] (c) Work out the size of angle ABC [Diagram or table: see page 17 of the paper] Answer: ____ [2] Question 17 Here are two vectors. [Diagram or table: see page 18 of the paper] Calculate the magnitude of the vector Answer: ____ [3] Question 18 The straight line L is perpendicular to the straight line with equation 2x  y  9 and passes through the point with coordinates (8, 11) Find an equation for L Give your answer in the form y  mx  c Answer: ____ [4] Question 19 A curve has equation y  ( x There is only one minimum point on the curve. The coordinates of this minimum point are (5, 4) Write down the coordinates of the minimum point on the curve with equation (i) y  ( x  5 Answer: ( ____ , ____ ) [1] (ii) y  3f x Answer: ( ____ , ____ ) [1] (iii) y  ( x  7 Answer: ( ____ , ____ ) [1] Question 20 Solve the inequality 10x^2  11x  21  0 Show clear algebraic working. Answer: ____ [3] Question 21 The Venn diagram shows information about the numbers of items in set A, set B and set C, where x is an integer. [Diagram or table: see page 21 of the paper] Given that n( A  B)  26 find n( A  C) [Diagram or table: see page 21 of the paper] Answer: ____ [4] Question 22 Solve the simultaneous equations [Diagram or table: see page 22 of the paper] Show clear algebraic working. Answer: ____ [Diagram or table: see page 23 of the paper] [5] Question 23 [Diagram or table: see page 23 of the paper] where n is an integer to be found. Show clear algebraic working. [4] Question 24 A, B and C are three points on horizontal ground. AB = 8.4 metres BC = 9.2 metres B is on a bearing of 067° from A C is on a bearing of 129° from B Calculate the bearing of A from C Give your answer correct to the nearest degree. [Diagram or table: see page 25 of the paper] Answer: ____ [6] Question 25 The diagram shows an equilateral triangle ABC and a circle with centre O [Diagram or table: see page 26 of the paper] AB, BC and CA are tangents to the circle. The radius of the circle is x cm The total area, in cm^2, of the regions shown shaded in the diagram is nx² Find the value of n Give your answer correct to 3 significant figures. Answer: n = ____ [5]