# 4MA1 Mathematics A January 2019 Paper 2H (Higher Tier Paper 2) Pearson Edexcel International GCSE 4MA1 Mathematics A past paper 2H, Higher Tier Paper 2, January 2019. Open it online or download the question paper PDF free. - Page: https://mathvsarham.com/past-papers/4ma1/2019-january-paper-2h/ - PDF: https://mathvsarham.com/papers/4ma1/4MA1_january_2019_paper_2H_qp.pdf - Board: Edexcel - Qualification: Pearson Edexcel International GCSE - Subject: 4MA1 Mathematics A (https://mathvsarham.com/past-papers/4ma1/) - Session: January 2019 - 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 A plane has a length of 73 metres. A scale model is made of the plane. The scale of the model is 1 : 200 Work out the length of the scale model. Give your answer in centimetres. [Diagram or table: see page 3 of the paper] [3] Question 2 Here are the first five terms of an arithmetic sequence. [Diagram or table: see page 3 of the paper] Write down an expression, in terms of n, for the nth term of this sequence. [2] Question 3 There are 90 counters in a bag. Each counter in the bag is either red or blue so that [Diagram or table: see page 4 of the paper] Li is going to put some more red counters in the bag so that [Diagram or table: see page 4 of the paper] Work out the number of red counters that Li is going to put in the bag. [4] Question 4 E = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12} A = {odd numbers} A ∩ B = {1, 3} A ∪ B = {1, 2, 3, 4, 5, 6, 7, 9, 11, 12} Draw a Venn diagram to show this information. [Diagram or table: see page 5 of the paper] [4] Question 5 Calvin has 12 identical rectangular tiles. He arranges the tiles to fit exactly round the edge of a shaded rectangle, as shown in the diagram below. [Diagram or table: see page 6 of the paper] Work out the area of the shaded rectangle. [Diagram or table: see page 6 of the paper] [5] Question 6 (a) Find the highest common factor (HCF) of 96 and 120 [2] C = 3 ´ 5^2 (b) Find the lowest common multiple (LCM) of A, B and C. [2] Question 7 Jenny invests $8500 for 3 years in a savings account. She gets 2.3% per year compound interest. (a) How much money will Jenny have in her savings account at the end of 3 years? Give your answer correct to the nearest dollar. [Diagram or table: see page 8 of the paper] [3] Rami bought a house on 1st January 2015 In 2015, the house increased in value by 15% In 2016, the house decreased in value by 8% On 1st January 2017, the value of the house was $687 700 (b) What was the value of the house on 1st January 2015? [Diagram or table: see page 8 of the paper] [3] Question 8 A block of wood has a mass of 3.5 kg. The wood has density 0.65 kg/m^3 (a) Work out the volume of the block of wood. Give your answer correct to 3 significant figures. [Diagram or table: see page 9 of the paper] [3] (b) Change a speed of 630 kilometres per hour to a speed in metres per second. [Diagram or table: see page 9 of the paper] [3] Question 9 Solve the simultaneous equations [Diagram or table: see page 10 of the paper] [3] Question 11 Twenty students took a Science test and a Maths test. Both tests were marked out of 50 The table gives information about their results. [Diagram or table: see page 12 of the paper] Use this information to compare the Science test results with the Maths test results. Write down two comparisons. [Diagram or table: see page 12 of the paper] [2] Question 12 (a) Simplify n^0 [1] (b) Simplify (3x^2 y^5)^3 [2] (c) Factorise fully 2e^2– 18 [2] (d) Make r the subject of m = 6a + r/5r [4] Question 13 The frequency table gives information about the numbers of mice in some nests. Number of mice Frequency [Diagram or table: see page 14 of the paper] The mean number of mice in a nest is 7 Work out the value of x. [Diagram or table: see page 14 of the paper] [4] Question 14 Marcus plays two games of tennis. For each game, the probability that Marcus wins is 0.35 (a) Complete the probability tree diagram. First game Second game [Diagram or table: see page 15 of the paper] [2] (b) Work out the probability that Marcus wins at least one of the two games of tennis. [3] Question 15 The diagram shows a trapezium. [Diagram or table: see page 16 of the paper] All measurements shown on the diagram are in centimetres. The area of the trapezium is 133 cm^2 (a) Show that 8x^2– 6x – 275 = 0 [3] (b) Find the value of x. Show your working clearly. [Diagram or table: see page 16 of the paper] [3] Question 16 The diagram shows two mathematically similar vases, A and B. [Diagram or table: see page 17 of the paper] A has a volume of 405 cm^3 B has a volume of 960 cm^3 B has a surface area of 928 cm^2 Work out the surface area of A. [Diagram or table: see page 17 of the paper] [3] Question 17 f is the function such that f(x) = 4 – 3x (a) Work out f(5) [1] g is the function such that g(x) = 1/1 − 2x (b) Find the value of x that cannot be included in any domain of g [1] (c) Work out fg(−1.5) [2] [Diagram or table: see page 19 of the paper] Question 18 P = x = 8 correct to 1 significant figure a = 4.6 correct to 2 significant figures m = 20 correct to the nearest 10 Calculate the lower bound of P. Show your working clearly. [4] Question 19 The histogram shows information about the numbers of minutes some people waited to be served at a Post Office. [Diagram or table: see page 20 of the paper] Work out an estimate for the proportion of these people who waited longer than 20 minutes to be served. [3] Question 20 [Diagram or table: see page 21 of the paper] A, B, C and D are points on a circle. PCQ is a tangent to the circle. AB = CB. Angle BCQ = x° Prove that angle CDA = 2x° Give reasons for each stage in your working. [5] Question 21 Line L has equation 4y – 6x = 33 Line M goes through the point A (5, 6) and the point B (−4, k) L is perpendicular to M. Work out the value of k. [4] Question 22 The diagram shows a cone. [Diagram or table: see page 23 of the paper] AB is a diameter of the cone. V is the vertex of the cone. Given that [Diagram or table: see page 23 of the paper] work out the size of angle AVB. Give your answer correct to 1 decimal place. [Diagram or table: see page 23 of the paper] [6] Question 23 ABCD is a trapezium. [Diagram or table: see page 24 of the paper] DA =  −2/ DB =  −1/ Find the exact magnitude of BC [5]