AQA 2022// GCSE MATHEMATICS Higher Tier Paper 3 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 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/Jun22/8300/3H Do not write outside the Answer all questions in the spaces provided. box 1 Circle the smallest number. [1 mark] 4.31 . • 4 3 4.301 4.33 2 Work out        − 8 4 –         − 2 3 Circle your answer. [1 mark]        − 10 7        − 6 7        − 10 1        − 6 1 3 *03* Turn over ► IB/M/Jun22/8300/3H Do not write outside the box 3 Here are four scatter graphs. 3 (a) For which graph is a straight line of best fit appropriate? Circle your answer. [1 mark] A B C D 3 (b) Which graph has one outlier? Circle your answer. [1 mark] A B C D 4 4 *04* IB/M/Jun22/8300/3H Do not write outside the box 4 Use trigonometry to work out the size of angle x. [3 marks] x = ° Not drawn accurately 5 *05* Turn over ► IB/M/Jun22/8300/3H Do not write outside the box 5 Laura works in a shop. The table shows the number of hours she works on two weekends. Saturday Sunday Weekend 1 3 2 Weekend 2 5 2 1 3 2 1 Work out the percentage increase in her total hours from Weekend 1 to Weekend 2 [3 marks] Answer % Turn over for the next question 6 6 *06* IB/M/Jun22/8300/3H Do not write outside the box 6 Here is a sketch of the curve y = x2 – 4x – 5 6 (a) Write down the two roots of x2 – 4x – 5 = 0 [1 mark] Answer and 6 (b) Work out the coordinates of T, the turning point of the curve. [2 marks] Answer ( , ) 7 *07* Turn over ► IB/M/Jun22/8300/3H Do not write outside the box 7 A is an arithmetic progression. Here are the first four terms. 13 16 19 22 G is a geometric progression. Here are the first four terms. 2 4 8 16 Work out the value of n. [4 marks] n = 7 nth term of A = 8th term of G 8 *08* IB/M/Jun22/8300/3H Do not write outside the box 8 Information about two fridge-freezers, A and B, is shown. Total capacity is 330 litres fridge capacity : freezer capacity = 3 : 2 Fridge capacity is 294 litres fridge capacity : freezer capacity = 7 : 3 9 *09* Turn over ► IB/M/Jun22/8300/3H Do not write outside the box Grace buys one of these fridge-freezers. She buys the one with the greater freezer capacity. Which one does she buy? You must show your working. [4 marks] Answer Turn over for the next question 4 10 *10* IB/M/Jun22/8300/3H Do not write outside the box 9 Tom and Adil are the two runners in a 200-metre race. Tom completes the race in 24 seconds. Adil completes the race at an average speed of 28.8 kilometres per hour. Who wins the race? You must show your working. [3 marks] Answer 11 *11* Turn over ► IB/M/Jun22/8300/3H Do not write outside the box 10 The mass of a baby is 3.6 kilograms to 1 decimal place. What is the error interval for the mass in kilograms? Tick one box. [1 mark] 3.5 ⩽ mass ⩽ 3.6 3.55 ⩽ mass ⩽ 3.65 3.5 ⩽ mass < 3.6 3.55 ⩽ mass < 3.65 11 A quadrilateral has angles 70°, 110°, 130° and 50° Circle the possible type of quadrilateral. [1 mark] kite parallelogram rhombus trapezium Turn over for the next question 5 12 *12* IB/M/Jun22/8300/3H Do not write outside the box 12 (a) B is 6 km due South of A and 6 km due West of C. Work out the bearing of A from