# 4MA1 Mathematics A Oct/Nov 2023 Paper 1H (Higher Tier Paper 1) Pearson Edexcel International GCSE 4MA1 Mathematics A past paper 1H, Higher Tier Paper 1, Oct/Nov 2023. Open it online or download the question paper PDF free. - Page: https://mathvsarham.com/past-papers/4ma1/2023-oct-nov-paper-1h/ - PDF: https://mathvsarham.com/papers/4ma1/4MA1_oct-nov_2023_paper_1H_qp.pdf - Board: Edexcel - Qualification: Pearson Edexcel International GCSE - Subject: 4MA1 Mathematics A (https://mathvsarham.com/past-papers/4ma1/) - Session: Oct/Nov 2023 - Paper: 1H (Higher Tier Paper 1) - Component code: 4MA1/1H - 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 is a Venn diagram. [Diagram or table: see page 3 of the paper] List the members of the set (a) A Answer: ____ [1] (b) A ∩ B Answer: ____ [1]  (c)  A  B Answer: ____ [1] Question 2 (a) Factorise fully 12 pq −18 p Answer: ____ [2] There are 56 metal bars in a box. Each metal bar is gold or silver or zinc. y metal bars are gold. (3y + 7) metal bars are silver. (2y − 5) metal bars are zinc. (b) Work out the number of metal bars that are zinc. Show clear algebraic working. Answer: ____ [4] Question 3 Joshua buys a car for $12 500 He sells the car to Nina. Nina pays • a deposit of $1500 • followed by 36 monthly payments of $450 Work out Joshua’s percentage profit. Answer: ____ % [4] Question 4 A biased spinner has three sections each of a different colour. The table shows the probability that, when the spinner is spun once, it will land on blue or on orange or on white. [Diagram or table: see page 6 of the paper] (a) Work out the value of x Answer: x = ____ [2] The spinner is spun 250 times. (b) Work out an estimate for the number of times the spinner will land on blue. Answer: ____ [2] Question 5 The diagram shows a shaded shape made from three identical semicircles, X, Y and Z [Diagram or table: see page 7 of the paper] ABCDE is a straight line. AC is the diameter of semicircle X and B is the centre of semicircle X BD is the diameter of semicircle Y and C is the centre of semicircle Y CE is the diameter of semicircle Z and D is the centre of semicircle Z AC = BD = CE = 20 cm Work out the perimeter of the shaded shape. Give your answer correct to the nearest whole number. Answer: ____ cm [3] Question 6 Juan wants to buy a ticket to fly from Madrid to Berlin. He finds two different types of ticket he can buy in a sale, ticket A and ticket B [Diagram or table: see page 8 of the paper] The sale price of ticket A is 140 euros. The sale price of ticket B is 136 euros. Work out the difference between the normal price of ticket A and the normal price of ticket B Answer: ____ euros [4] Question 7 A  5^3  7^3 11^6 and B  5^6  7^2 11^4 Find the highest common factor (HCF) of A and B Give your answer as a product of powers of its prime factors. Answer: ____ [2] Question 8 (a) Solve the inequality 8x − 4  3x −10 Answer: ____ [2] The region R, shown shaded in the diagram, is bounded by three straight lines. [Diagram or table: see page 10 of the paper] (b) Write down the three inequalities that define the region R Answer: ____ Answer: ____ Answer: ____ [3] Question 9 (a) Write 5. 87 10^^4 as an ordinary number. Answer: ____ [1] (b) Write 84 000 000 in standard form. Answer: ____ [1] The number of neurons in a human brain is 8.5×10^10 The number of neurons in a monkey brain is 1. 47 ×10^9 The number of neurons in a human brain is K × the number of neurons in a monkey brain. (c) Work out the value of K Give your answer correct to one decimal place. Answer: K = ____ [2] Question 10 Here is triangle ABC [Diagram or table: see page 12 of the paper] Work out the value of x Give your answer correct to one decimal place. Show your working clearly. Answer: x = ____ [5] Question 11 Express 3/4  5  x/6x as a single fraction in its simplest terms. Answer: ____ [3] Question 12 (a) Complete the table of values for y = x^3 − 3x + 1 [Diagram or table: see page 14 of the paper] [2] (b) On the grid, draw the graph of y = x^3 − 3x + 1 for values of x from − 2 to 2 [Diagram or table: see page 14 of the paper] [2] Here are four graphs. [Diagram or table: see page 15 of the paper] (c) Write down the letter of the graph that could have the equation y   1/x_2 Answer: ____ [1] Question 13 The cumulative frequency graph gives information about the times, in seconds, that 80 adults took to log in to an online bank. [Diagram or table: see page 16 of the paper] (a) Find an estimate for the median time. Answer: ____ seconds [1] (b) Work out the percentage of these adults that took longer than 50 seconds to log in. Show your working clearly. Answer: ____ % [3] Question 14 [Diagram or table: see page 17 of the paper] A, B and C are points on a circle, centre O Angle OAC = 52° Find the size of angle ABC Give reasons for your working. [Diagram or table: see page 17 of the paper] Answer: ____ [3] Question 15 Make n the subject of the formula x  3 p  n/3n  4 Answer: ____ [3] Question 16 A curve has equation y  4x^3  8x  5 Find the x coordinates of the two points on the curve where the gradient is 1/3 Answer: ____ [4] Question 17 The histogram gives information about the weights, in grams, of some oranges in a box. [Diagram or table: see page 20 of the paper] 24 of these oranges weigh less than 20 grams. Medium oranges weigh between 35 grams and 55 grams. Work out an estimate for the number of medium oranges in the box. Answer: ____ [3] Question 18 The diagram shows the positions of three villages, A, B and C [Diagram or table: see page 21 of the paper] The bearing of B from A is 054° The bearing of C from B is 132° Melur walks from A to B She then walks from B to C and from C to A Melur walks at an average speed of 6 km/h Work out the total time Melur takes. Give your answer in hours and minutes. Answer: ____ hours ____ minutes [5] Question 19 Here are the first 4 terms in an arithmetic sequence. [Diagram or table: see page 22 of the paper] The last term of the sequence is x The sum of the terms of the sequence is 7260 Find the value of x Show clear algebraic working. Answer: x = ____ [6] Question 20 A bag contains only 10 cent coins and 20 cent coins. Josip takes at random a coin from the bag, records its value and replaces it in the bag. He then takes at random a second coin from the bag, records its value and replaces it in the bag. Josip finds the mean value of the two coins. The probability that the two coins have a mean value of 10 cents is 49/121 Work out the probability that the two coins have a mean value of 15 cents. Answer: ____ [4] Question 21 Here is a triangular prism ABCDEF [Diagram or table: see page 24 of the paper] AD = 53 cm DF = 28 cm Angle FDE = 30° Work out the volume of the triangular prism. Give your answer correct to the nearest whole number. Answer: ____ cm^3 [5] Question 22 [In this question 1 cm = 1 unit on the x-axis and 1 cm = 1 unit on the y-axis] P is a point on a circle with centre (0, 0) The coordinates of P are (8, −10) The line L is the tangent to the circle at the point P L crosses the x-axis at the point Q and crosses the y-axis at the point R Work out the length of RQ Give your answer correct to 3 significant figures. Answer: ____ cm [6] Question 23 Solid A is similar to solid B Here is some information about solid A and solid B [Diagram or table: see page 26 of the paper] Work out the height of solid B Give your answer as a decimal. Answer: ____ cm [5] Question 24 The curve with equation f(x) = 5x^2 + 9x + 2 is transformed to the curve with equation g(x) = 5 x  4  9 x  4  8 by the translation  a /b     (a) Write down the value of a and the value of b Answer: a = ____ Answer: b = ____ [2] The graph of y  p cos x  q for 0  x  360 is drawn on the grid below. [Diagram or table: see page 28 of the paper] Given that p > 0 and 0 < q < 360 (b) find the value of p and the value of q Answer: p = ____ Answer: q = ____ [2]