AQA GCSE MATHEMATICS 8300/1H Higher Tier Paper 1 Non-Calculator Version: Final 1.0 *jun2383001H01* IB/M/Jun23/E8 8300/1HQUESTION PAPER & MARKING SCHEME/ [MERGED] Marl( scheme June 2023

AQA GCSE MATHEMATICS 8300/1H Higher Tier Paper 1 Non-Calculator Version: Final 1.0 *jun2383001H01* IB/M/Jun23/E8 8300/1H 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 TOTAL Friday 19 May 2023 Morning Time allowed: 1 hour 30 minutes Materials For this paper you must have: • mathematical instruments • the Formulae Sheet (enclosed). You must not use a calculator. 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 1 Non-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/Jun23/8300/1H Do not write outside the Answer all questions in the spaces provided. box 1 (a) Work out 0.7 × 0.5 [1 mark] Answer 1 (b) Work out 5 6 ÷ 3 [1 mark] Answer 1 (c) Work out 27 ÷ 0.6 [1 mark] Answer 3 *03* Turn over ► IB/M/Jun23/8300/1H Do not write outside the 2 Solve 2x < 26 box [1 mark] Answer 3 Work out the value of       2 3 2 Give your answer as a mixed number. [1 mark] Answer Turn over for the next question 5 4 *04* IB/M/Jun23/8300/1H Do not write outside the 4 ABC, BD and BE are straight lines. box angle EBD = 5 × angle ABE angle DBC = 3 × angle ABE Work out the size of angle EBD. [3 marks] Answer ° Not drawn accurately 5 *05* Turn over ► IB/M/Jun23/8300/1H Do not write outside the 5 Two prime numbers are multiplied together. box The answer is an even number between 50 and 60 Complete the calculation. [3 marks] × = 6 Andrew and Bruce share some money in the ratio 5 : 6 Bruce gets £96 Andrew gives 1 4 of his share to Carl. Bruce gives 2 3 of his share to Carl. How much money does Carl receive? [4 marks] Answer £ 10 6 *06* IB/M/Jun23/8300/1H Do not write outside the box 7 2a × 3 × 52 = 600 Work out the value of a. You must show your working. [3 marks] a = 8 Expand and simplify fully 5(3x + 4) – 2(x – 1) [2 marks] Answer 7 *07* Turn over ► IB/M/Jun23/8300/1H Do not write outside the box 9 Erika tries to sketch the graph y = x 1 with x ≠ 0 Make two different criticisms of her sketch. [2 marks] Criticism 1 Criticism 2 7 8 *08* IB/M/Jun23/8300/1H Do not write outside the 10 Sunita is x years old. box Beth is one year younger than Sunita. Joel is double Sunita’s age. The mean of their ages is 5 How old is Joel? [5 marks] Answer 9 *09* Turn over ► IB/M/Jun23/8300/1H Do not write outside the 11 The Venn diagram represents 100 items. box 11 (a) Write down P(A ∩ B) [1 mark] Answer 11 (b) Work out P(A') [1 mark] Answer 11 (c) Work out P(A U B) [1 mark] Answer 8 10 *10* IB/M/Jun23/8300/1H Do not write outside the 12 (a) a × 10 box n is a number in standard form. Complete the inequality for the value of a. [1 mark] ⩽ a < 12 (b) b × 10n is the number 7200 written in standard form. Work out b × 10–n Write your answer as an ordinary number. [2 marks] Answer 11 *11* Turn over ► IB/M/Jun23/8300/1H Do not write outside the 13 (a) Here is a number machine. box Show that when the input increases by 2 the output increases by 2a. [2 marks] 13 (b) f(x) = kx2 where k is a constant. Kai says that f(6) f(2) is equal to f(3) because 6 2 = 3 Is he correct? Show working to support your answer. [2 marks] 7 12 *12* IB/M/Jun23/8300/1H Do not write outside the 14 Here is a list of 11 whole numbers in numerical order. box The lower quartile, median, upper quartile and highest value are missing. 28 34 • median = 2 × lower quartile • upper quartile = 2.5 × lower quartile • range = 2 × interquartile range Complete the list. [2 marks] 13 *13* Turn over ► IB/M/Jun23/8300/1H Do not write outside the 15 ABCD is a trapezium. box All four sides are different lengths. AB is parallel to CD. The diagonals intersect at X. For each statement, tick the correct box. [4 marks] True May be true Not true Triangles AXB and CXD are similar Triangles AXD and BXC are congruent Angle ADB = angle BDC Area of triangle ABC = area of triangle ABD Turn over for the next question 6 Not drawn accurately 14 *14* IB/M/Jun23/8300/1H Do not write outside the 16 Solve the simultaneous equations box 2x – 5y = 13