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Download 2024 AQA GCSE MATHEMATICS 8300/1H Higher Tier Paper 1 Question Paper + Mark Scheme + Inser and more Exams Mathematics in PDF only on Docsity!
2024 AQA GCSE MATHEMATICS 8300/1H Higher Tier Paper 1 Question Paper + Mark Scheme + Insert iLovePDF AQA= Please write clearly in block capitals. Centre number Candidate number Surname Forename(s) Candidate signature | declare this is my own work. GCSE MATHEMATICS Higher Tier Paper 1 Non-Calculator Thursday 16 May 2024 Morning Time allowed: 1 hour 30 minutes Materials ] — For this paper you must have: For Examiner's Use e mathematical instruments Pages Mark ¢ the Formulae Sheet (enclosed). | 5s a5 You must not use a calculator. = 45 . 6-7 Instructions e Use black ink or black ball-point pen. Draw diagrams in pencil. as ¢ Fill in the boxes at the top of this page. 10-11 e Answer all questions. 12-13 « You must answer the questions in the spaces provided. Do not write 14-15 outside the box around each page or on blank pages. 117 ¢ 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). 18-19 © Do all rough work in this book. Cross through any work you do not want to 20-21 be marked. 22-23 Information 24 e The marks for questions are shown in brackets. TOTAL e The maximum mark for this paper is 80. e 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. IB/M/Jun24/G4007/E10 83 00/ 1 H Answer all questions in the spaces provided. iLovePDF 1 Work out 1s (Fx v% | Answer 2 Measure the shortest distance from point P to the line. Give your answer in millimetres. eP Answer IML mm [3 marks] [1 mark] IB/M/Jun24/8300/1H Do not write outside the box iLovePDF Do not write outside the 5 Aschool year has 78 students. box 28 wear glasses. ; of the students who wear glasses are left-handed. 30% of the students who do not wear glasses are left-handed. 5 (a) € = students in the school year G =wears glasses L = left-handed Complete the Venn diagram. [3 marks] 5 (b) A\left-handed student is chosen at random. Work out the probability that the student wears glasses. [1 mark] Answer IB/M/Jun24/8300/1H iLovePDF 5 6 The table shows the number of workers at a company in different years. Year 2015 2016 2017 | 2018 2019 | 2020 | 2021 2022 Number of workers 29 34 42 52 62 70 76 80 A time-series graph is drawn to represent the data. The first four points have been plotted. 100 90 80 70 Number of 60 workers 50 40 20 30 La 10 2015 2016 2017 2018 2019 2020 2021 2022 Year 6 (a) Complete the graph. 6 (b) Estimate the number of workers at the company in 2023 Answer INN [2 marks] [1 mark] Turn over > IB/M/Jun24/8300/1H Do not write outside the box 7 (b) Adam uses =3 to estimate the area of the base of the cone. Work out his estimate. Answer 7 (c) Bethuses =3.14 to estimate the area of the base of the cone. Is Beth’s estimate more than or less than Adam's estimate? Tick a box. More than Give a reason for your answer. Turn over for the next question 07 Less than iLovePDF Do not write outside the box [2 marks] [1 mark] Turn over > IB/M/Jun24/8300/1H iLovePDF 8 Do not write itside the 8 Solve 7x—22=4x+29 On bOK [3 marks] x= 9 In a house the floor area of the living room is 26 m? the floor area of the kitchen is 16.4 m? Express the area of the living room as a fraction of the area of the kitchen. Give your answer in its simplest form. [3 marks] Answer IB/M/Jun24/8300/1H IM 11 y iLovePDF Do not write outside the box Ny wo or fo) x4 Describe fully the single transformation that maps shape A to shape B. [3 marks] IB/M/Jun24/8300/1H 12 INIA 11 Asector has radius 12cm and angle 60° 12cm Work out the length of the arc. Give your answer in terms of 7t Answer Turn over for the next question iLovePDF Do not write outside the box Not drawn accurately [3 marks] cm 6 Turn over > IB/M/Jun24/8300/1H iLovePDF 13 Do not write itside the 14 4 chocolate bars and 3 packets of mints cost £4.70 ek 5 chocolate bars and 1 packet of mints cost £4.50 Work out the cost of a chocolate bar and the cost of a packet of mints. [4 marks] chocolate bar packet of mints Turn over for the next question 8 Turn over > INIA IB/M/Jun24/8300/1H 14 15 (a) Between which two consecutive integers does the square root of 210 lie? Answer and 15 (b) Here are two calculations, A and B. A B 1.92’ + 6.9% 5 x 3/1000 350 Use approximations to show that answer to A < answer to B iLovePDF [1 mark] [3 marks] IB/M/Jun24/8300/1H Do not write outside the box iLovePDF 16 Do not write 3x47 outuerthe 17 Rearrange y= x to make x the subject. x [4 marks] Answer IMI IB/M/Jun24/8300/1H iLovePDF 17 Do not write outside the 18 A circle has centre O and passes through (0, 6) box y, 6 -6 O 6 x -6 Write down the equation of the circle. [1 mark] Answer Turn over for the next question 5 Turn over > INIA IB/M/Jun24/8300/1H iLovePDF 19 Do not write b outee: the 20 Sx? tax? + bx + e= kx + (2—b)x? + (a?—1)x+ 5 Work out the values of a, b and c. [3 marks] a= b= c= Turn over for the next question 7 Turn over > Ml 9 IB/M/Jun24/8300/1H Inn iLovePDF 20 Do not write ee 56 outee: the 21 Prove algebraically that 1.018 = 55 [3 marks] IMI IB/M/Jun24/8300/1H 
