GCSE Maths Edexcel Practice Exam Papers, Exams of Mathematics

Download GCSE Maths Edexcel Practice Exam Papers and more Exams Mathematics in PDF only on Docsity! Mathematics Paper 3 (Calculator) Higher Tier Edexcel GCSE SET 3 thirdspacelearning.com Helping schools close the maths attainment gap through targeted one to one teaching and flexible resources Instructions Information Advice Use black ink or ball-point pen Fill in the boxes at the top of this page with your name, centre number and candidate number Answer all questions Answer the questions in the spaces provided – there may be more space than you need You must show all your working Diagrams are NOT accurately drawn, unless otherwise indicated Calculators may be used. The total mark for this paper is 8 The marks for each question are shown in brackets – use this as a guide as to how much time to spend on each question. Read each question carefully before you start to answer it Keep an eye on the time Try to answer every question Check your answers if you have time at the end. This practice paper is based on the topics from the advanced information for the November 2024 exam series. Please note, this practice paper is an example to help revision, these topics can be tested in other ways and other topics may be included in the actual papers Name Total marks You must have: Ruler graduated in centimetres and millimetres, protractor, pair of compasses, pen, HB pencil, eraser. Tracing paper may be used. Paper length: 1hr 30mins Mathematics Paper 3 (Calculator) Higher Tier Edexcel GCSE SET 3 Mathematics Paper 3 | Calculator | Higher Tier | Edexcel GCSE | Set 3 Question 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 Mark Mathematics Paper 3 | Calculator | Higher Tier | Edexcel GCSE | Set 3 © Third Space Learning 2024. You may photocopy this page. 3 4 The point Q is the midpoint of the line MN. The point Q lies on the line PR such that PQ:QR = 1:2.  Find the coordinates of the point R.  ( , ) (Total for Question 4 is 3 marks) (0,10) (0,3) (12,2) Mathematics Paper 3 | Calculator | Higher Tier | Edexcel GCSE | Set 3 © Third Space Learning 2024. You may photocopy this page. 4 5 The speed limit in a village is changed from 30 mph to 20 mph.  Before the speed limit was changed, it took Beth five minutes to drive through the village.  (a) What distance does Beth travel through the village? (2) (b) Mark says that the journey will now take Beth one minute longer.  Is Mark correct? Show how you decide. (2) (Total for Question 5 is 4 marks) Mathematics Paper 3 | Calculator | Higher Tier | Edexcel GCSE | Set 3 © Third Space Learning 2024. You may photocopy this page. 5 6 5 -2 -4 10 x y -5-10 5 10 y = 3x − 3 5y + 4x − 23 = 0 (a) Use these graphs to solve the simultaneous equations y = 3x − 3 5y + 4x − 23 = 0 x = y = (1) (b) Work out the gradient of the line 5y + 4x − 23 = 0 (2) (c) Are the graphs parallel, perpendicular or neither? You must show how you decide. (2) (Total for Question 6 is 5 marks) Mathematics Paper 3 | Calculator | Higher Tier | Edexcel GCSE | Set 3 © Third Space Learning 2024. You may photocopy this page. 8 9 Convert 20 metres per second to miles per hour.  You may use the conversion 5 miles = 8 km. mph (Total for Question 9 is 2 marks) 10 In the diagram, AC is parallel to DE.  6cm 14cm 4cm DE = 4cm AC = 14cm BE = 6cm Work out the length CE. cm (Total for Question 10 is 3 marks) Mathematics Paper 3 | Calculator | Higher Tier | Edexcel GCSE | Set 3 © Third Space Learning 2024. You may photocopy this page. 9 12 (a) Peter invests £2000 in a savings account for 3 years.  He is paid compound interest at a rate of 4% per annum.  How much money does Peter have in his account at the end of the 3 years? £ (2) (b) Charlie invests £2000 in a different bank account, which also pays compound interest. After 3 years, there is £2275.79 in her account.  Work out the interest rate of Charlie’s bank account. % (3) (Total for Question 12 is 5 marks) 11 bx = (3x ) Work out the values of b and c. (Total for Question 11 is 3 marks) b = c = Mathematics Paper 3 | Calculator | Higher Tier | Edexcel GCSE | Set 3 © Third Space Learning 2024. You may photocopy this page. 10 13 f (x) = x − 2 (a) Find f (11) g (x) = 3x + 1 (b) Find fg (9) (2) (1) (1) (Total for Question 13 is 4 marks) (c) Lin wants to find g (x). Lin writes  This is not correct. Explain why. y = 3x + 1 = x + 1 − 1 = x g (x) = − 1 y 3 y 3 x 3 Mathematics Paper 3 | Calculator | Higher Tier | Edexcel GCSE | Set 3 © Third Space Learning 2024. You may photocopy this page. 13 16 The ratio a : a + b can be written in the form 1 : k. Show that a = (Total for Question 16 is 3 marks) 17 Prove algebraically that the sum of the squares of any two consecutive odd numbers is  always even. (Total for Question 17 is 4 marks) Mathematics Paper 3 | Calculator | Higher Tier | Edexcel GCSE | Set 3 © Third Space Learning 2024. You may photocopy this page. 14 18 Solve the equation , giving your answers to 2 decimal places. x = or x = (Total for Question 18 is 5 marks) 19 The area of a field is 2500m correct to 2 significant figures. The length of the field is 44m to the nearest metre.  Work out the upper bound for the width of the field.  Give your answer to 3 decimal places.  You must show all of your working.  m (Total for Question 19 is 3 marks) Mathematics Paper 3 | Calculator | Higher Tier | Edexcel GCSE | Set 3 © Third Space Learning 2024. You may photocopy this page. 15 20 3b 6a ABCD is a parallelogram.  AB = 6a BC = 3b The point E lies on the line AC such that AE : EC = 2 : 1 The point F is the midpoint of the line CD. Work out the vector EF in terms of a and b. (Total for Question 20 is 4 marks)