AQA GCSE MATHEMATICS 8300/1H Higher Tier Paper 1 Non-Calculator Question Paper + Mark scheme [MERGED] June 2022 *jun2283001H01* IB/M/Jun22/E7 8300/1H For Examiner’s Use Pages Mark 2–3

AQA GCSE MATHEMATICS 8300/1H Higher Tier Paper 1 Non-Calculator Question Paper + Mark scheme [MERGED] June 2022 *junH01* IB/M/Jun22/E7 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 24–25 26 TOTAL 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/Jun22/8300/1H Do not write outside the Answer all questions in the spaces provided. box 1 Which of these is the equation of a straight line? Circle your answer. [1 mark] y = 6x2 y = x – 6 y = x2 + 6 y = x 6 2 What is 0.28 as a fraction of 0.8 ? Circle your answer. [1 mark] 20 7 7 2 7 20 2 7 3 Circle the calculation that increases 240 by 7.5% [1 mark] 240 × 1.0705 240 × 1.705 240 × 1.075 240 × 1.75 3 *03* Turn over ► IB/M/Jun22/8300/1H Do not write outside the box Not drawn accurately 4 Circle the reason why the triangles are congruent. [1 mark] ASA RHS SAS SSS 5 Work out ÷ 200 Give your answer in standard form. [2 marks] Answer 6 4 *04* IB/M/Jun22/8300/1H Do not write outside the box 6 (a) Work out 7 12 3 3 Give your answer as a whole number. [2 marks] Answer 6 (b) Simplify 8 × 26 × 24 Give your answer as a power of 2 [2 marks] Answer 5 *05* Turn over ► IB/M/Jun22/8300/1H Do not write outside the box 7 In a group of 98 students 25 study both Art and French 10 study Art but do not study French 41 study French. Joel draws this Venn diagram to represent the information. ξ = the group of 98 students A = the students who study Art F = the students who study French Make two criticisms of his diagram. [2 marks] Criticism 1 Criticism 2 Turn over for the next question 6 6 *06* IB/M/Jun22/8300/1H Do not write outside the box 8 In a week, Samir is paid a basic hourly rate for the first 30 hours worked an overtime hourly rate for any extra hours worked. The graph shows his pay for working up to 40 hours in a week. 7 *07* Turn over ► IB/M/Jun22/8300/1H Do not write outside the box Work out the ratio basic hourly rate : overtime hourly rate Give your answer in its simplest form. [3 marks] Answer : 9 (a) In each box, write a fraction less than 1 to make a correct calculation. [1 mark] 9 (b) In each box, write a decimal less than 1 to make a correct calculation. [1 mark] 5 8 *08* IB/M/Jun22/8300/1H Do not write outside the box 10 Use a ruler and compasses in this question. ABCD represents a garden. A tree is to be planted in the garden. The tree will be in the region that is closer to AB than to BC. Label the region, R, where the tree could be planted. Show all your construction lines. [3 marks] 9 *09* Turn over ► IB/M/Jun22/8300/1H Do not write outside the box 11 Here are two shapes, P and Q. How many times bigger is the area of P than the area of Q? You must show your working. [4 marks] Answer Not drawn accurately 7 10 *10* IB/M/Jun22/8300/1H Do not write outside the box 12 In a game, two bags, A and B, contain cards. Each card is marked Yes or No. The table shows the number of each type of card in the bags. Yes No Bag A 3 2 Bag B 1 9 In the game, a player picks one card at random from each bag. The cards are then put back into the bags. 12 (a) Complete the tree diagram. [2 marks] 11 *11* Turn over ► IB/M/Jun22/8300/1H Do not write outside the box 12 (b) To win a prize, a player must pick two cards marked Yes. 450 people each play the game once. How many people are expected to win a prize? [3 marks] Answer 13 Solve 15 2w = 5 4 [2 marks] w = 7 12 *12* IB/M/Jun22/8300/1H Do not write outside the box 14 15 workers can complete a job in 8 days. How many more workers are needed to complete the job in 6 days? Assume that all of the workers work at the same rate. [3 marks] Answer 15 The cross section of a prism has n sides. Circle the expression for the number of faces of the prism. [1 mark] n 2n 3n n + 2 13 *13* Turn over ► IB/M/Jun22/8300/1H Do not write outside the box 16 Circle the letter of the possible sketch graph of y = x3 – 4 [1 mark] Turn over for the next question 5 14 *14* IB/M/Jun22/8300/1H Do not write outside the box 17 75 people attend a clinic. Their ages are recorded and a cumulative frequency diagram is drawn. 15 *15* Turn over ► IB/M/Jun22/8300/1H Do not write outside the box A nurse makes a statement about the ages of the people at the clinic. He says, “More than twice as many people are in their 60s as in their 50s.” Is he correct? Tick a box. Yes No Show working to support your answer. [3 marks] Turn over for the next question 3 16 *16* IB/M/Jun22/8300/1H Do not write outside the box 18 12x3 + 7x2 + 3x – 10 ≡ 2(ax3 + x2 + 2x – 5) + x(bx + c) Work out the values of a, b and c. [3 marks] a = b = c = 17 *17* Turn over ► IB/M/Jun22/8300/1H Do not write outside the box 19 The first three terms of a sequence are x y xy The sequence is continued by multiplying the previous two terms. 19 (a) Circle the 5th term of the sequence. [1 mark] x3 y3 x5 y5 x3 y4 x2 y3 19 (b) The 8th term of the sequence is x8 y13 The value of this term is negative. What does this mean about the values of x and y ? Tick one box for each row. [2 marks] Must be positive Must be negative Could be either x y Turn over for the next question 6 18 *18* IB/M/Jun22/8300/1H Do not write outside the box 20 Rearrange y = x 5x + 9 to make x the subject. [4 marks] Answer 19 *19* Turn over ► IB/M/Jun22/8300/1H Do not write outside the box Not drawn accurately 21 Five points are connected by vectors. FG������⃗ = 2EH������⃗ Work out � FE����⃗ in terms of a and b. [4 marks] Answer 78 20 *20* IB/M/Jun22/8300/1H Do not write outside the box 22 Work out . • 0 68 – . • 0 45 Give your answer as a fraction in its simplest form. [5 marks] Answe