# 4MA1 Mathematics A May/June 2024 Paper 1HR (Higher Tier Paper 1) Pearson Edexcel International GCSE 4MA1 Mathematics A past paper 1HR, Higher Tier Paper 1, May/June 2024. Open it online or download the question paper PDF free. - Page: https://mathvsarham.com/past-papers/4ma1/2024-may-june-paper-1hr/ - PDF: https://mathvsarham.com/papers/4ma1/4MA1_may-june_2024_paper_1HR_qp.pdf - Board: Edexcel - Qualification: Pearson Edexcel International GCSE - Subject: 4MA1 Mathematics A (https://mathvsarham.com/past-papers/4ma1/) - Session: May/June 2024 - Paper: 1HR (Higher Tier Paper 1) - Component code: 4MA1/1HR - 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 Here are six cards. Five of the cards have a number written on them. [Diagram or table: see page 3 of the paper] Work out the number that should be written on the last card so that the mean of the six numbers will be 11 Answer: ____ [3] Question 2 Here is a biased spinner. [Diagram or table: see page 4 of the paper] The table gives information about the probability that, when the spinner is spun once, it will land on each number. [Diagram or table: see page 4 of the paper] Alexis is going to spin the spinner 400 times. Work out an estimate for the number of times the spinner will land on an odd number. Answer: ____ [4] Question 3 Norberto sells white loaves of bread and brown loaves of bread. He sells a total of 200 loaves such that the number of white loaves sold : the number of brown loaves sold = 3 : 2 Norberto sells the white loaves for £1.50 each. He sells the brown loaves for £1.75 each. 40% of the price of a white loaf is profit. 60% of the price of a brown loaf is profit. Work out Norberto’s total profit when he sells all 200 loaves. Answer: £ ____ [5] Question 4 Show that 2 1/3  5 1/4  4/9 [3] Question 5 Slavomir invests 5200 euros in a savings account for 4 years. He gets 2.5% per year compound interest. Work out how much money Slavomir will have in the savings account at the end of 4 years. Give your answer correct to the nearest euro. Answer: ____ _euros [3] Question 6 The diagram shows a solid wooden cylinder. [Diagram or table: see page 7 of the paper] The cylinder has radius 8 cm and height h cm. The volume of the cylinder is 1208 cm^3 (a) Work out the value of h Give your answer correct to the nearest whole number. Answer: h = ____ [2] The density of the wood is 1.25 g/cm³ (b) Work out the mass of the cylinder. Give your answer in kilograms. Answer: ____ _kilograms [2] Question 7 (a) Simplify g^9 ÷ g^2 Answer: ____ [1] (b) Expand 5k^2 (k^3 + 4) Answer: ____ [2] (c)(i) Factorise x^2 − 2x − 63 Answer: ____ [2] (ii) Hence, solve x^2 − 2x − 63 = 0 Answer: ____ [1] (d) Solve the inequality 7  2 y  3y  12 Answer: ____ [3] Question 8 The diagram shows a trapezium, ABCD [Diagram or table: see page 9 of the paper] DAB and ADC are right angles. AD = 15 cm DC = 14 cm The area of the trapezium is 360 cm² Work out the perimeter of the trapezium. Answer: ____ cm [6] Question 9 Line L is drawn on the grid. [Diagram or table: see page 10 of the paper] Find an equation for L Give your answer in the form y = mx + c Answer: ____ [3] Question 10 Here are the numbers of goals scored by a hockey team in its 11 games this season. [Diagram or table: see page 10 of the paper] Work out the interquartile range of the numbers of goals. Answer: ____ [2] Question 11 A  2^5  5  7^2 B  2^3  5^3  7^4 (a) Write down the highest common factor (HCF) of 5A and 2B Give your answer as a product of prime factors. Answer: ____ [2] A  2^5  5  7^2 B  2^3  5^3  7^4 (b) Work out the value of  AB^2 Give your answer as a product of prime factors. Answer: ____ [2] Question 12 Solve the simultaneous equations [Diagram or table: see page 12 of the paper] Show clear algebraic working. Answer: x = ____ Answer: y = ____ [4] Question 13 [Diagram or table: see page 13 of the paper] A, B, C and D are points on a circle, centre O Angle BCD = 128° Work out the size of angle OBD Give a reason for each stage of your working. Answer: angle OBD = ____ ° [5] Question 14 (a) Expand and simplify Answer: ____ [3] (b) Simplify fully  a b /a b [Diagram or table: see page 14 of the paper] Answer: ____ [3] Question 15 The diagram shows isosceles triangle EFG [Diagram or table: see page 15 of the paper] Angle EFG = 130° The area of triangle EFG is 74 cm² Work out the length of EF Give your answer correct to 3 significant figures. Answer: ____ _cm [3] Question 16 The table gives information about the heights, in metres, of the trees in a park. [Diagram or table: see page 16 of the paper] 10 < h 20 20 < h 35 On the grid, draw a histogram for this information. [Diagram or table: see page 16 of the paper] [3] Question 17 (a) ^4 k^12 = k ^n   Find the value of n Answer: n = ____ [1] (b) Express 7/2 − in the form c + d where c and d are integers. Show your working clearly. Answer: ____ [3] Question 18 The diagram shows two similar vases, A and B [Diagram or table: see page 18 of the paper] The height of vase A is 30 cm The height of vase B is 12 cm Given that surface area of vase A ‒ surface area of vase B = 178.5 cm² find the surface area of vase A Answer: ____ _cm² [4] Question 19 A curve C has equation y  x^3  8x^2 12x  5 Curve C has exactly two stationary points, one at point A and one at point B such that [Diagram or table: see page 19 of the paper] Find the coordinates of point A Show clear algebraic working. Answer: ( ____ , ____ ) [5] Question 20 (a) Express 2x^2 11x  9 in the form a(x − b)^2 − c where a, b and c are numbers to be found. Answer: ____ [3] The curve C has equation y  2(x  3)^2  11(x  3)  9 The point P is the minimum point on C (b) Find the coordinates of P Answer: ( ____ , ____ ) [2] Question 21 There are 25 counters in a bag such that 6 counters are blue x counters are orange, where x > 9 the rest of the counters are pink Maalam takes at random two of the counters from the bag. The probability that Maalam takes one orange counter and one pink counter is 22/75 Calculate the probability that Maalam takes 2 pink counters from the bag. Show clear algebraic working. Answer: ____ [5] Question 22 The diagram shows a cuboid ABCDEFGH with horizontal base ADEH [Diagram or table: see page 22 of the paper] M is the midpoint of the base ADEH and P is the midpoint of the edge CF Work out the size of angle BMP Give your answer correct to one decimal place. [Diagram or table: see page 23 of the paper] Answer: ____ [6] Question 23 Here are the first three terms of an arithmetic sequence. [Diagram or table: see page 24 of the paper] Find, as an integer, the sum of the first 40 terms of the sequence. Show clear algebraic working. Answer: ____ [4]