AQA GCSE MATHEMATICS 8300/2H Higher Tier Paper 2 Calculator Question Paper + Mark scheme [MERGED] June 2022 *jun2283002H01* IB/M/Jun22/E7 8300/2H For Examiner’s Use Pages Mark 2–3

AQA GCSE MATHEMATICS 8300/2H Higher Tier Paper 2 Calculator Question Paper + Mark scheme [MERGED] June 2022 *junH01* IB/M/Jun22/E7 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 TOTAL 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/Jun22/8300/2H Do not write outside the Answer all questions in the spaces provided. box 1 Circle the fraction that is equal to 1.25% [1 mark] 8 1 25 1 80 1 125 1 2 Circle the expression that means the probability of A and not B. [1 mark] P(A' U B) P(A U B') P(A' ∩ B) P(A ∩ B') 3 Circle the triangular number. [1 mark] 9 12 15 18 3 *03* Turn over ► IB/M/Jun22/8300/2H Do not write outside the box 4 Circle the inequality represented by the diagram. [1 mark] –5 < x < 1 –5 < x ⩽ 1 –5 ⩽ x < 1 5 ⩽ x ⩽ 1 5 Solve 5(2x – 1) = 6x + 9 [3 marks] x = 7 4 *04* IB/M/Jun22/8300/2H Do not write outside the box 6 Show that 2125 can be written as a cube number multiplied by a prime number between 10 and 20 [2 marks] 7 Sam types a constant number of words per minute. He takes 8 minutes to type a report of 416 words. How long does it take him to type an essay of 1534 words? Give your answer in minutes and seconds. [3 marks] Answer minutes seconds 5 *05* Turn over ► IB/M/Jun22/8300/2H Do not write outside the box 8 A school play takes place each day from Monday to Friday. Here are the attendances on four of the days. Monday Tuesday Wednesday Thursday For all five days, the mean attendance is 90 Work out the attendance on Friday. [3 marks] Answer Turn over for the next question 8 6 *06* IB/M/Jun22/8300/2H Do not write outside the box 9 Rosie makes phone calls to try to sell broadband. Today, she made 120 calls. The table shows the results. Result of call Frequency Not answered 33 Answered but sale not made 81 Answered and sale made 6 9 (a) Write down the relative frequency that a call was not answered. [1 mark] Answer 9 (b) During the rest of the week, Rosie will make 500 calls. Using the results in the table, how many sales does she expect to make during the rest of the week? [2 marks] Answer 7 *07* Turn over ► IB/M/Jun22/8300/2H Do not write outside the box 10 Harry and Ellie each bought a printer and a hard drive. Here is some information about how much they paid. Printer Hard drive Harry £80 £25 Ellie 10% less than Harry 20% more than Harry Ellie says, ‘‘In total, I paid more than Harry because 20% is greater than 10%’’ Is she correct? Tick a box. Yes No Show calculations to support your answer. [2 marks] 5 8 *08* IB/M/Jun22/8300/2H Do not write outside the box 11 A shape is made by joining a right-angled triangle to a rectangle. Work out the area of the shape. [5 marks] Answer cm2 Not drawn accurately 9 *09* Turn over ► IB/M/Jun22/8300/2H Do not write outside the box 12 4y = 5x Which statement is correct? Tick one box. [1 mark] y is 80% of x y is 125% of x x is 20% of y x is 400% of y Turn over for the next question 6 10 *10* IB/M/Jun22/8300/2H Do not write outside the box 13 Outside a cafe there is a large plastic ice cream cornet. The cornet is a hemisphere on top of a cone. The cone and the hemisphere each have radius 24 cm The cone has perpendicular height 117 cm 13 (a) Work out the total volume of the cornet. [4 marks] Answer cm3 Volume of a cone = 3 1 πr2 h r is the radius h is the perpendicular height Volume of a hemisphere = 3 2 πr 3 r is the radius 11 *11* Turn over ► IB/M/Jun22/8300/2H Do not write outside the box 13 (b) The actual cornets that the cafe sells are similar to the plastic one. For the actual cornets, the cone and the hemisphere each have radius 2 cm How many times greater is the volume of the plastic cornet than an actual cornet? [3 marks] Answer Turn over for the next question 7 12 *12* IB/M/Jun22/8300/2H Do not write outside the box 14 A survey was held in a football stadium. A sample of the crowd was asked about the importance of a family area. The pie chart represents the answers. 14 (a) The total number of people in the crowd was 29 250 Estimate how many people in the crowd think that a family area is very important. Assume that the sample is representative of the crowd. [3 marks] Answer 13 *13* Turn over ► IB/M/Jun22/8300/2H Do not write outside the box 14 (b) In fact, 50% of the sample were sitting in the family area 10% of the crowd were sitting in the family area. What is this likely to mean about the actual number of people in the crowd who think that a family area is very important? Tick one box. [1 mark] It is larger than the answer to part (a) It is the same as the answer to part (a) It is lower than the answer to part (a) 15 In the grid, the product of each row, column and diagonal is 1 1 4 4 1 8 Complete the grid. [2 marks] 6 14 *14* IB/M/Jun22/8300/2H Do not write outside the box 16 Amol owns a sandwich shop. The shop is open from Monday to Saturday. In June, Amol sold 3000 sandwiches. 16 (a) Amol wants to work out the mean number of sandwiches he sold per day in June. His method is 3000 ÷ 30 = 100 Make one criticism of Amol’s method. [1 mark] 16 (b) Amol received £6660 from selling the 3000 sandwiches in June. The numbers of sandwiches sold were in the ratio meat : cheese : vegan = 9 : 4 : 7 The price of a meat sandwich is £2.39 The price of a cheese sandwich is £1.89 Work out the price of a vegan sandwich. [4 marks] Answer £ 15 *15* Turn over ► IB/M/Jun22/8300/2H Do not write outside the box 17 Here is the plan of a solid. Circle the solid that it could be. [1 mark] sphere cone hemisphere cylinder 18 Solve x2 + 7x – 11 = 0 Give your solutions as decimals. [2 marks] Answer 8 16 *16* IB/M/Jun22/8300/2H Do not write outside the box Not drawn accurately 19 A, B, C, D and E are points on a straight line. A, B, C and D are equally spaced. AD : DE = 2 : 1 Work out the coordinates of E. [3 marks] Answer ( , ) 17 *17* Turn over ► IB/M/Jun22/8300/2H Do not write outside the box 20 A company makes and sells boxes of washing powder. The company wants to increase the amount of money it receives per kg of powder. To get the required increase it can increase the price to £5.88 or reduce the mass of powder in the box by x% Work out the value of x to 2 decimal pla