# 4MA1 Mathematics A May/June 2019 Paper 2HR (Higher Tier Paper 2) Pearson Edexcel International GCSE 4MA1 Mathematics A past paper 2HR, Higher Tier Paper 2, May/June 2019. Open it online or download the question paper PDF free. - Page: https://mathvsarham.com/past-papers/4ma1/2019-may-june-paper-2hr/ - PDF: https://mathvsarham.com/papers/4ma1/4MA1_may-june_2019_paper_2HR_qp.pdf - Board: Edexcel - Qualification: Pearson Edexcel International GCSE - Subject: 4MA1 Mathematics A (https://mathvsarham.com/past-papers/4ma1/) - Session: May/June 2019 - Paper: 2HR (Higher Tier Paper 2) - Component code: 4MA1/2HR - 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) [Diagram or table: see page 3 of the paper] Write down the inequality shown on the number line. Answer: ____ [1] (b) Solve the inequality 4y - y + 8 Answer: ____ [2] Question 2 Show that 5 2/3 í 3/4 = 2 11/12 [3] Question 3 (a) Complete the table of values for y = 1 + 5xíx^2 [Diagram or table: see page 4 of the paper] [2] (b) On the grid, draw the graph of y = 1 + 5xíx^2 for values of x [Diagram or table: see page 4 of the paper] [2] Question 4 ABC and DEF are similar triangles. [Diagram or table: see page 5 of the paper] (a) Work out the length of DE. Answer: ____ _cm [2] The area of triangle DEF is 525 cm^2 (b) Find the area of triangle DEF in m^2 Answer: ____ _m^2 [2] Question 5 Factorise x^2íx Answer: ____ [2] Question 6 There are some ice lollies in a freezer. The flavour of each ice lolly is banana or strawberry or mint or chocolate. Julius takes at random an ice lolly from the freezer. The table shows the probabilities that the flavour of the ice lolly that Julius takes is banana or strawberry or chocolate. [Diagram or table: see page 6 of the paper] Work out the probability that the flavour of the ice lolly that Julius takes is either strawberry or mint. Answer: ____ [3] Question 7 A football team played 55 games. Each game was won, drawn or lost. number of games won : number of games drawn : number of games lost = 6 : 3 : 2 Work out how many more games the team won than the team lost. Answer: ____ [3] Question 8 [Diagram or table: see page 7 of the paper] (a) Find the highest common factor (HCF) of A and B. Answer: ____ [2] (b) Find the lowest common multiple (LCM) of A and B. Answer: ____ [2] Question 9 (a) Write 840 000 in standard form. Answer: ____ [1] (b) Work out (6 × 10^7) ÷ (8 × 10^í) Give your answer in standard form. Answer: ____ [2] Question 10 Henri buys a yacht for 150 000 euros. The yacht depreciates in value by 18% each year. Work out the value of the yacht at the end of 3 years. Give your answer correct to the nearest euro. Answer: ____ _euros [3] Question 11 Line L is drawn on the grid. [Diagram or table: see page 8 of the paper] Find an equation for L. Answer: ____ [3] Question 12 [Diagram or table: see page 9 of the paper] Calculate the length of AB. Show your working clearly. Give your answer correct to 3 significant figures. Answer: ____ _m [5] Question 13 Sandeep recorded the length of time, in minutes, that each of 100 adults went for a walk one Saturday afternoon. The cumulative frequency table gives information about these times. [Diagram or table: see page 10 of the paper] (a) On the grid, draw a cumulative frequency graph for the information in the table. [Diagram or table: see page 10 of the paper] [2] (b) Use your graph to find an estimate for the median length of time that these adults went for a walk. Answer: ____ _minutes [2] One of the 100 adults is chosen at random. (c) Use your graph to find an estimate for the probability that this adult went for a walk for more than 72 minutes. Answer: ____ [3] Question 14 (a) Simplify fully (x^12 y^8)^3/4 Answer: ____ [2] Given that 3^n = 3/9_y (b) find an expression for n in terms of x and y. Answer: n = ____ [2] Question 15 A, B, C and D are points on a circle, centre O. [Diagram or table: see page 13 of the paper] AOC is a diameter of the circle. Angle AOD = 98° Work out the size of angle DBC. Give a reason for each stage in your working. [Diagram or table: see page 13 of the paper] Answer: ____ [4] Question 16 The following table gives values of x and y where y is inversely proportional to the square of x. [Diagram or table: see page 14 of the paper] (a) Find a formula for y in terms of x. Answer: ____ [3] Given that x  0 (b) find the value of x when y = 144 Answer: ____ [2] Question 17 The table gives information about the first six terms of a sequence of numbers. [Diagram or table: see page 15 of the paper] Prove algebraically that the sum of any two consecutive terms of this sequence is always a square number. [4] Question 18 The functions f and g are defined as [Diagram or table: see page 16 of the paper] (a) State which value of x must be excluded from any domain of the function f. Answer: ____ [1] (b) Find fg(x). Simplify your answer. Answer: fg(x) = ____ [2] (c) Express the inverse function f^í in the form f^í(x) = … Answer: f^í(x) = ____ [3] Part of the curve with equation y = h(x) is shown on the grid. [Diagram or table: see page 17 of the paper] (d) Find an estimate for the gradient of the curve at the point where x í Show your working clearly. Answer: ____ [3] Question 19 The diagram shows a sector OAPB of a circle, centre O. [Diagram or table: see page 18 of the paper] AB is a chord of the circle. Angle AOB = 80° The area of sector OAPB is 25/2 ʌ cm^2 Work out the perimeter of the shaded segment. Give your answer correct to 3 significant figures. Answer: ____ _cm [6] Question 20 6a [Diagram or table: see page 19 of the paper] a = 3.46 correct to 3 significant figures. b = 6.3 correct to 1 decimal place. Work out the upper bound for the value of x. Give your answer as a decimal correct to 3 significant figures. Show your working clearly. Answer: ____ [3] Question 21 The diagram shows two similar bottles, A and B. [Diagram or table: see page 20 of the paper] Bottle A has surface area 240 cm^2 Bottle B has surface area 540 cm^2 and volume 2025 cm^3 Work out the volume of bottle A. Answer: ____ _cm^3 [3] Question 22 Write 5 + 12xíx^2 in the form a + b(x + c)^2 where a, b and c are integers. Answer: ____ [4] Question 23 The diagram shows a solid pyramid ABCDE with a horizontal base. [Diagram or table: see page 22 of the paper] The base, BCDE, of the pyramid is a square of side 10 cm. The vertex A of the pyramid is vertically above the centre O of the base so that AB = AC = AD = AE The total surface area of the pyramid is 360 cm^2 Work out the size of the angle between AC and the base BCDE. Give your answer correct to 3 significant figures. [Diagram or table: see page 23 of the paper] Answer: ____ [6] Question 24 A box contains marbles. 4 of the marbles are red. The rest of the marbles are yellow. Antonia takes at random a marble from the box and does not replace it. Sergio then takes at random a marble from the box. The probability that Antonia and Sergio both take a yellow marble is 0.7 Work out how many marbles were originally in the box. Show your working clearly. Answer: ____ [5]