AQA 2022 GCSE MATHEMATICS Higher Tier Paper 2 Calculator

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 boxe ...

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 72 83 88 97 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