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Download 2024 AQA GCSE MATHEMATICS 8300/3H Higher Tier Paper 3 Question Paper + Mark Scheme + Inser and more Exams Mathematics in PDF only on Docsity!
fOGVEPDFESE MATHEMATICS 8300/3H Higher Tier Paper 3 Question Paper + Mark Scheme + Insert 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 3 Calculator Monday 10 June 2024 Morning Time allowed: 1 hour 30 minutes Materials ] — For this paper you must have: For Examiner's Use e acalculator Pages Mark « mathematical instruments 35 e the Formulae Sheet (enclosed). 45 Instructions 67 e Use black ink or black ball-point pen. Draw diagrams in pencil. 89 Fill in the boxes at the top of this page. e Answer all questions. 102M e You must answer the questions in the spaces provided. Do not write 12-13 outside the box around each page or on blank pages. 14-15 ¢ If you need extra space for your answer(s), use the lined pages at the end 16-17 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 18-19 be marked. 20-21 Information 22-28 e The marks for questions are shown in brackets. 24-25 ¢ The maximum mark for this paper is 80. 26 e You may ask for more answer paper, graph paper and tracing paper. TOTAL 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/ 3 H iLovePDF 2 Do not write itside the Answer all questions in the spaces provided. Ox 1 Here are the first three Patterns in a sequence made up of small squares. Pattern 1 Pattern 2 Pattern 3 1 (a) On the grid, draw Pattern 4 [1 mark] IML IB/M/Jun24/8300/3H iLovePDF Rick claims most of the flats in his 8-floor building are energy efficient. He samples 45 flats from floors 1 to 5 Give a reason why this sample may not be useful in testing Rick’s claim. 3(x—1) = 3x—3 __ is an identity. Tick one box. It is true for all values of x It is true for some values of x It is true for no values of x [1 mark] [1 mark] IB/M/Jun24/8300/3H Do not write outside the box iLovePDF INN The front elevation of a cuboid is shown on this centimetre grid. Front elevation The volume of the cuboid is 42 cm? Draw the side elevation on this centimetre grid. Side elevation [2 marks] Turn over > IB/M/Jun24/8300/3H Do not write outside the box iLovePDF 7 Do not write 1 outuerthe 7 Draw the graph of Imo for values of x from —2 to 4 [3 marks] VA arr 4 T EL i SES Oe 3 I Ct T 2 TT | HW O Hoo HHH =f i ct t t Suave ce ves vagng ovasraevaeataevaesaere ~2 t t CoCr t HERE HEE ia 34 TTT T EERE ~4 t t qi | 9 Turn over > 07 IB/M/Jun24/8300/3H iLovePDF Do not write outside the 8 Four people are taking part in a television talent show. box Here are Amy’s marks from the 6 judges. The pie chart represents the phone vote. Amy’s total score is found by 4 x the mean of her marks + her percentage of the phone vote IM IB/M/Jun24/8300/3H iLovePDF 10 Do not write outside the Town A has box a population of 84000 an area of 7 square miles. Town B has a population density of 4695 people per square kilometre. Population density = population, area Which town has the greater population density? Use 1 square mile = 2.6 square kilometres Tick a box. Town A Town B Show working to support your answer. [3 marks] IB/M/Jun24/8300/3H iLovePDF 11 Do not write 10 On a biased dice, ara P(lands on 6) = 0.38 This dice is rolled 150 times. How many times would you expect the dice not to land on 6 ? [3 marks] Answer Turn over for the next question 6 Turn over > INIA IB/M/Jun24/8300/3H iLovePDF 13 Do not write 12 Cards are either gold or not gold. oon P(gold) = 0.05 Harim chooses a card at random and replaces it. He then chooses a second card. 12 (a) Complete the tree diagram. [2 marks] First card Second card 0.05 Gold Gold 0.05 Not gold Gold Not gold Not gold 12 (b) What is the probability that at least one of Harim’s cards is gold? [3 marks] Answer Turn over > INIA IB/M/Jun24/8300/3H iLovePDF 14 Do not write wutside the 13 Here is a quadratic graph with equation y = f(x) NOK YA \ - Seeeee 1 | \ mY i \ \ Terry t - > -3 2 A 1 2 x coerce] HH EC Eee | 4 \ / Prey t cm wn Perr a mt i t ri iat t+ tt i T T A im } 3 3 { i im EEE Eee EEEEEEEEE EE 2 it Write down the roots of the equation f(x) =0 [2 marks] Answer | Il | l IB/M/Jun24/8300/3H iLovePDF 16 Do not write itside the 15 Astraight line passes through points A (-5, 9), B and C (3, -7). Ox , Not drawn y accurately A(-5, 9) B O x C (3, -7) 15 (a) AB: BC=1:3 Work out the coordinates of point B. [3 marks] Answer ( F ) IMI IB/M/Jun24/8300/3H iLovePDF 17 Do not write itside the 15 (b) Work out the equation of the line perpendicular to AC that passes through C. Ox [4 marks] Answer Turn over for the next question 7 Turn over > INIA IB/M/Jun24/8300/3H iLovePDF 19 Do not write itside the 17 (a) aand b are different prime numbers. ek a> x b? = 200 Work out the value of a*xb [3 marks] Answer 17 (b) c and d are different prime numbers. Circle the equation for which cx d?x e is a cube number. [1 mark] e=cd e=c'd e=c'd* e=cd> Turn over for the next question 7 Turn over > Ml 9 IB/M/Jun24/8300/3H Inn iLovePDF 20 Do not write ou. outside the 18 Here is triangle A. box Not drawn accurately 11cm 7m 35° | x 18 (a) Use the sine rule to show that x= 64° to the nearest degree. [3 marks] IMU IB/M/Jun24/8300/3H 
