AQA GCSE MATHEMATICS 8300/2H Higher Tier Paper 2 Calculator Version: 1.0 Final *jun2383002H01* IB/M/Jun23/E8 8300/2H QUESTION PAPER & MARKING SCHEME/ [MERGED]

AQA GCSE MATHEMATICS 8300/2H Higher Tier Paper 2 Calculator Version: 1.0 Final *jun2383002H01* IB/M/Jun23/E8 8300/2H For Examiner’s Use Pages Mark 2–3 4–5 6–7 8–9 10–11 12–13 14–15 16–17 18–19 20–21 22–23 24–25 26 TOTAL Wednesday 7 June 2023 Morning Time allowed: 1 hour 30 minutes Materials For this paper you must have: • a calculator • mathematical instruments • the Formulae Sheet (enclosed). Instructions • Use black ink or black ball-point pen. Draw diagrams in pencil. • Fill in the boxes at the top of this page. • Answer all questions. • You must answer the questions in the spaces provided. Do not write outside the box around each page or on blank pages. • If you need extra space for your answer(s), use the lined pages at the end of this book. Write the question number against your answer(s). • Do all rough work in this book. Cross through any work you do not want to be marked. Information • The marks for questions are shown in brackets. • The maximum mark for this paper is 80. • You may ask for more answer paper, graph paper and tracing paper. These must be tagged securely to this answer book. Advice In all calculations, show clearly how you work out your answer. GCSE MATHEMATICS Higher Tier Paper 2 Calculator Please write clearly in block capitals. Centre number Candidate number Surname Forename(s) Candidate signature I declare this is my own work. H 2 *02* IB/M/Jun23/8300/2H Do not write outside the Answer all questions in the spaces provided. box 1 Write 30 : 12 in the form n : 1 [1 mark] Answer : 1 2 Four consecutive triangular numbers are 6 10 15 21 Write down the next triangular number. [1 mark] Answer 3 *03* Turn over ► IB/M/Jun23/8300/2H Do not write outside the box 3 Write down the reciprocal of 4 7 [1 mark] Answer 4 The price of a toy increases by 12.5% to £19.53 Work out the original price of the toy. [2 marks] Answer £ Turn over for the next question 5 4 *04* IB/M/Jun23/8300/2H Do not write outside the 5 Jess saves 2p, 5p and 10p coins. box She has • 45 10p coins • 8 times as many 2p coins as 10p coins • £17.70 in total. Work out total value of 2p coins : total value of 5p coins Give your answer in its simplest form. [4 marks] Answer : 5 *05* Turn over ► IB/M/Jun23/8300/2H Do not write outside the 6 (a) Part of a regular polygon is shown. box Assume that the polygon is an octagon. Work out the size of an exterior angle. [2 marks] Answer ° 6 (b) In fact, the polygon has more sides than an octagon. What does this mean about the size of an exterior angle? Tick one box. [1 mark] It is more than the answer to part (a) It is the same as the answer to part (a) It is less than the answer to part (a) It could be any of the above 7 Not drawn accurately 6 *06* IB/M/Jun23/8300/2H Do not write outside the 7 In a game, box • an ordinary fair six-sided dice is rolled • the fair spinner shown is spun. The score is the dice number substituted into the spinner expression. 7 (a) Complete the table to show all of the possible scores. [2 marks] 1 2 3 4 5 6 2x 8 3x 6 x2 25 7 *07* Turn over ► IB/M/Jun23/8300/2H Do not write outside the 7 (b) A player wins the game if their score is 10 or more. box Work out the probability that they win the game. [1 mark] Answer 7 (c) The game is played 711 times. Estimate the number of games that are won. [2 marks] Answer 8 (a – 3) x2 + 2b ≡ 5x2 + 12 Work out the values of a and b. [2 marks] a = b = 7 8 *08* IB/M/Jun23/8300/2H Do not write outside the 9 A (1, 3) and B (2, 9) are points on a centimetre grid. box ABCD is a parallelogram. AD and BC are horizontal and each has length 5 cm The diagonals of ABCD cross at E. Work out the two possible pairs of coordinates of E. [4 marks] Answer ( , ) and ( , ) 9 *09* Turn over ► IB/M/Jun23/8300/2H Do not write outside the 10 Write down the translation vector that maps shape A onto shape B. box [2 marks] Answer 6 10 *10* IB/M/Jun23/8300/2H Do not write outside the 11 box A bowl is a hemisphere with radius 12 cm Water is poured into the bowl at a rate of 325 cm3 per second for 8 seconds. Does the water fill more than 70% of the bowl? You must show your working. [4 marks] Volume of a sphere = 4 3 πr 3 11 *11* Turn over ► IB/M/Jun23/8300/2H Do not write outside the 12 Show that these two rectangles are similar. box [2 marks] 13 A factory packs x boxes of teabags per hour. Each box contains 80 teabags. Show that the factory packs 4 3 x teabags per minute. [2 marks] Turn over for the next question 8 Not drawn accurately 12 *12* IB/M/Jun23/8300/2H Do not write outside the 14 A company has 123 employees. box Information about their hourly rates of pay is shown in t