AQA GCSE MATHEMATICS 8300/3H Higher Tier Paper 3 Calculator Version: 1.0 Final *jun2383003H01* IB/M/Jun23/E8 8300/3H QUESTION PAPER & MARKING SCHEME/ [MERGED] Marl( scheme June 2023

AQA GCSE MATHEMATICS 8300/3H Higher Tier Paper 3 Calculator Version: 1.0 Final *jun2383003H01* IB/M/Jun23/E8 8300/3H 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 TOTAL Wednesday 14 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 3 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/Jun23/8300/3H Do not write outside the Answer all questions in the spaces provided. box 1 The line with equation y = 2x + 7 intersects the y-axis at A. Complete the coordinates of A. [1 mark] Answer ( 0 , ) 2 Write down a fraction equivalent to 1.875 [1 mark] Answer 3 Solve 5x + 11 = 3x + 19 [2 marks] x = 3 *03* Turn over ► IB/M/Jun23/8300/3H Do not write outside the 4 A map has a scale of 1 : 5000 box How many metres are represented by a length of 4.5 cm on the map? [2 marks] Answer m 5 The number of hedgehogs in England is expected to reduce by 4% each year. Assume there are now 1 000 000 hedgehogs in England. Work out the expected number of hedgehogs in England after five years. You must show your working. [3 marks] Answer 9 4 *04* IB/M/Jun23/8300/3H Do not write outside the 6 Here is cuboid A. box Cuboid B is made from two of cuboid A. volume of A : volume of B = 1 : 2 Matthew says, “surface area of A : surface area of B must be 1 : 2 because B is made of 2 of A.” Is Matthew correct? Tick one box. Yes No Cannot tell Give a reason for your answer. [2 marks] 5 *05* Turn over ► IB/M/Jun23/8300/3H Do not write outside the 7 box (a) Complete the table of values for y = x2 + 2x [2 marks] x –3 –2 –1 0 1 y 3 –1 0 7 (b) Draw the graph of y = x2 + 2x for values of x from –3 to 1 [2 marks] Turn over for the next question 6 6 *06* IB/M/Jun23/8300/3H Do not write outside the 8 Jing has £2450 box She saves some and gives the rest to her four brothers. money saved : money given to brothers = 2 : 5 She gives each of her four brothers the same amount. Does each brother receive more than £430 ? You must show your working. [4 marks] 7 *07* Turn over ► IB/M/Jun23/8300/3H Do not write outside the 9 The pie chart shows information about people at a fair during three days. box There were 132 more people on Friday than on Thursday. Work out the number of people on Saturday. [3 marks] Answer Turn over for the next question 7 Not drawn accurately 8 *08* IB/M/Jun23/8300/3H Do not write outside the 10 Use trigonometry to work out the value of x. box [3 marks] x = cm Not drawn accurately 9 *09* Turn over ► IB/M/Jun23/8300/3H Do not write outside the box 11 Millie is estimating the value of ( ) × 2 3 1 8.34 10.21 She rounds each decimal number to 1 significant figure. 11 (a) Work out Millie’s estimate. You must show your working. [2 marks] Answer 11 (b) Millie says, “My estimate must be more than the exact value.” Without working out the exact value, give a reason how she can know this. [1 mark] 6 10 *10* IB/M/Jun23/8300/3H Do not write outside the 12 Here is a biased spinner. box 12 (a) Ali, Ben and Cary want to know the probability of spinning red on the biased spinner. They each spin it and count how many times it lands on red and divide by the total number of spins. Ali says I spun red the most times Ben says I spun the spinner the most times Cary says My relative frequency of red is 0.25 Who had the best estimate for the probability of spinning red? Give a reason for your answer. [1 mark] 11 *11* Turn over ► IB/M/Jun23/8300/3H Do not write outside the 12 (b) Dev spins the spinner 80 times. box He says, “My relative frequency of red is 0.185” Give a reason why his relative frequency must be wrong. [1 mark] 12 (c) Elena spins the spinner 125 times. The relative frequency of red is 0.32 Work out how many times the spinner landed on green. [2 marks] Answer Turn over for the next question 4 12 *12* IB/M/Jun23/8300/3H Do not write outside the 13 Charlie is driving 293 miles home. box He • leaves at 9.00 am • travels the first 176 miles at an average speed of 48 mph • drives the rest of the way at an average spe