Pearson Edexcel Level 1/2 GCSE Maths (9-1) Paper 2 Foundation Tier November 2023 PDF
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2023
Pearson Edexcel
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Summary
This is a past paper for Pearson Edexcel Level 1/Level 2 GCSE Mathematics (9-1) Foundation Tier, from November 2023. The paper contains various questions covering different mathematical topics suitable for GCSE students.
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Please check the examination details below before entering your candidate information Candidate surname Other names Centre Number Candidate Number...
Please check the examination details below before entering your candidate information Candidate surname Other names Centre Number Candidate Number Pearson Edexcel Level 1/Level 2 GCSE (9–1) Friday 10 November 2023 Morning (Time: 1 hour 30 minutes) Paper reference 1MA1/2F Mathematics PAPER 2 (Calculator) Foundation Tier You must have: Ruler graduated in centimetres and millimetres, Total Marks protractor, pair of compasses, pen, HB pencil, eraser, calculator, Formulae Sheet (enclosed). Tracing paper may be used. Instructions 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. 3.142 If your calculator does not have a π button, take the value of π to be unless the question instructs otherwise. Information The total mark for this paper is 80 The marks for each question are shown in brackets – use this as a guide as to how much time to spend on each question. Advice Read each question carefully before you start to answer it. Try to answer every question. Check your answers if you have time at the end. Turn over P69531A ©2023 Pearson Education Ltd. Z:1/1/1/1/1/1/1/1/ *P69531A0124* Answer ALL questions. Write your answers in the spaces provided. DO NOT WRITE IN THIS AREA DO NOT WRITE IN THIS AREA DO NOT WRITE IN THIS AREA DO NOT WRITE IN THIS AREA DO NOT WRITE IN THIS AREA DO NOT WRITE IN THIS AREA You must write down all the stages in your working. 1 Write down two factors of 18............................ ,............................ (Total for Question 1 is 1 mark) 2 Write 0.9 as a fraction........................................................ (Total for Question 2 is 1 mark) 3 Change 7 metres to centimetres........................................................ centimetres (Total for Question 3 is 1 mark) 4 Write down a square number that is between 10 and 50....................................................... (Total for Question 4 is 1 mark) 5 Work out 50% of 240....................................................... (Total for Question 5 is 1 mark) 2 *P69531A0224* 6 Lydia works for 4 hours. She is paid £50 DO NOT WRITE IN THIS AREA DO NOT WRITE IN THIS AREA DO NOT WRITE IN THIS AREA DO NOT WRITE IN THIS AREA DO NOT WRITE IN THIS AREA DO NOT WRITE IN THIS AREA How much is Lydia paid per hour? £....................................................... (Total for Question 6 is 2 marks) 7 Here is a 3-D shape. (a) Write down the name of this 3-D shape............................................................................................................... (1) (b) In the space below, draw a sketch of a triangular prism. (1) (Total for Question 7 is 2 marks) 3 *P69531A0324* Turn over 8 Curtis needs to buy some items for his sports club. Here are the prices. DO NOT WRITE IN THIS AREA DO NOT WRITE IN THIS AREA DO NOT WRITE IN THIS AREA DO NOT WRITE IN THIS AREA DO NOT WRITE IN THIS AREA DO NOT WRITE IN THIS AREA Item Price Footballs £9.50 each Hockey sticks £30 for 2 Cricket bats £23 each Tennis balls £5 for 4 Curtis needs to buy 5 footballs 6 hockey sticks 2 cricket bats 4 tennis balls. Curtis has £200 to spend. Show that Curtis can buy all the items he needs. (Total for Question 8 is 4 marks) 4 *P69531A0424* 9 Harris is buying a shirt and a tie. He has a choice of three colours of shirt and a choice of three styles of tie. DO NOT WRITE IN THIS AREA DO NOT WRITE IN THIS AREA DO NOT WRITE IN THIS AREA DO NOT WRITE IN THIS AREA DO NOT WRITE IN THIS AREA DO NOT WRITE IN THIS AREA Shirt Tie White (W) Plain (P) Blue (B) Striped (S) Grey (G) Checked (C) Harris is going to choose one shirt and one tie. List all the possible combinations Harris can choose......................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................... (Total for Question 9 is 2 marks) 10 There are 24 red counters and 40 blue counters in a bag. Write down the ratio of the number of red counters to the number of blue counters in the bag. Give your ratio in its simplest form........................................................ (Total for Question 10 is 2 marks) 5 *P69531A0524* Turn over 11 Rima is going to roll a fair 6‑sided dice. (a) Choose the word that best describes the probability that the dice will land on the DO NOT WRITE IN THIS AREA DO NOT WRITE IN THIS AREA DO NOT WRITE IN THIS AREA DO NOT WRITE IN THIS AREA DO NOT WRITE IN THIS AREA DO NOT WRITE IN THIS AREA number 3 impossible unlikely evens likely certain.............................................................................................................. (1) (b) Choose the word that best describes the probability that the dice will land on an odd number. impossible unlikely evens likely certain.............................................................................................................. (1) (Total for Question 11 is 2 marks) 12 A car travels at an average speed of 37 miles per hour for 3 hours. Work out the distance that the car travels in the 3 hours........................................................ miles (Total for Question 12 is 2 marks) 6 *P69531A0624* 13 Milo is trying to find the area of this rectangle. 5 cm DO NOT WRITE IN THIS AREA DO NOT WRITE IN THIS AREA DO NOT WRITE IN THIS AREA DO NOT WRITE IN THIS AREA DO NOT WRITE IN THIS AREA DO NOT WRITE IN THIS AREA 4 cm 4 cm 5 cm He writes, “The area is 400 cm2 because 5 × 4 × 5 × 4 = 400” (a) Explain what is wrong with Milo’s method....................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................... (1) Anya works out the area of a shape. Her answer is 86 cm. (b) Explain why her answer cannot be fully correct....................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................... (1) (Total for Question 13 is 2 marks) 7 *P69531A0724* Turn over 14 3 kg of flour costs £4.05 5 kg of flour and 6 kg of sugar cost £11.85 DO NOT WRITE IN THIS AREA DO NOT WRITE IN THIS AREA DO NOT WRITE IN THIS AREA DO NOT WRITE IN THIS AREA DO NOT WRITE IN THIS AREA DO NOT WRITE IN THIS AREA Work out the cost of 2 kg of flour and 5 kg of sugar. £....................................................... (Total for Question 14 is 4 marks) 8 *P69531A0824* 15 Martha and Nabeel share £120 Martha gets 72% of the money. DO NOT WRITE IN THIS AREA DO NOT WRITE IN THIS AREA DO NOT WRITE IN THIS AREA DO NOT WRITE IN THIS AREA DO NOT WRITE IN THIS AREA DO NOT WRITE IN THIS AREA She spends 30% of the money she gets. How much money does Martha have left? £....................................................... (Total for Question 15 is 3 marks) 9 *P69531A0924* Turn over 16 160 people were asked to choose their favourite type of book. They each chose from romance or adventure or horror or thriller. DO NOT WRITE IN THIS AREA DO NOT WRITE IN THIS AREA DO NOT WRITE IN THIS AREA DO NOT WRITE IN THIS AREA DO NOT WRITE IN THIS AREA DO NOT WRITE IN THIS AREA 85 of these people were children. The rest were adults. 19 of the 33 people who chose romance were children. 34 of the 76 people who chose adventure were adults. 7 adults chose thriller. The number of children who chose thriller was the same as the number of adults who chose horror. Work out the total number of people who chose horror. You must show how you get your answer........................................................ (Total for Question 16 is 4 marks) 10 *P69531A01024* 17 Here are the heights, in cm, of 16 sunflowers. 168 173 172 180 162 191 183 160 DO NOT WRITE IN THIS AREA DO NOT WRITE IN THIS AREA DO NOT WRITE IN THIS AREA DO NOT WRITE IN THIS AREA DO NOT WRITE IN THIS AREA DO NOT WRITE IN THIS AREA 178 184 197 177 172 186 188 180 Show this information in a stem and leaf diagram. Key: (Total for Question 17 is 3 marks) 11 *P69531A01124* Turn over 9.8 6.8 18 (a) Work out 4.2 2.1 DO NOT WRITE IN THIS AREA DO NOT WRITE IN THIS AREA DO NOT WRITE IN THIS AREA DO NOT WRITE IN THIS AREA DO NOT WRITE IN THIS AREA DO NOT WRITE IN THIS AREA Give your answer as a decimal. Write down all the figures on your calculator display............................................................................................................... (2) (b) Write your answer to part (a) correct to 2 decimal places........................................................ (1) (Total for Question 18 is 3 marks) 12 *P69531A01224* 19 The diagram shows a quadrilateral ABDE and an equilateral triangle BCD. A DO NOT WRITE IN THIS AREA DO NOT WRITE IN THIS AREA DO NOT WRITE IN THIS AREA DO NOT WRITE IN THIS AREA DO NOT WRITE IN THIS AREA DO NOT WRITE IN THIS AREA x B E 132° D C CB is parallel to DE. Angle AED = 132° Work out the size of the angle marked x. You must give a reason for each stage of your working. °....................................................... (Total for Question 19 is 4 marks) 13 *P69531A01324* Turn over 20 (a) Complete the table of values for y = x 2 – x – 2 DO NOT WRITE IN THIS AREA DO NOT WRITE IN THIS AREA DO NOT WRITE IN THIS AREA DO NOT WRITE IN THIS AREA DO NOT WRITE IN THIS AREA DO NOT WRITE IN THIS AREA x −2 −1 0 1 2 3 y 4 −2 (2) (b) On the grid, draw the graph of y = x 2 – x – 2 for values of x from −2 to 3 y 6 4 2 −2 −1 O 1 2 3 x −2 −4 −6 (2) (Total for Question 20 is 4 marks) 14 *P69531A01424* 21 y DO NOT WRITE IN THIS AREA DO NOT WRITE IN THIS AREA DO NOT WRITE IN THIS AREA DO NOT WRITE IN THIS AREA DO NOT WRITE IN THIS AREA DO NOT WRITE IN THIS AREA 6 5 A 4 3 2 1 −6 −5 −4 −3 −2 −1 O 1 2 3 4 5 6 x −1 B −2 −3 −4 −5 −6 Describe fully the single transformation that maps triangle A onto triangle B....................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................... (Total for Question 21 is 2 marks) 15 *P69531A01524* Turn over 22 (a) Expand and simplify 3( 2y − 5) + 7 ( y + 2) DO NOT WRITE IN THIS AREA DO NOT WRITE IN THIS AREA DO NOT WRITE IN THIS AREA DO NOT WRITE IN THIS AREA DO NOT WRITE IN THIS AREA DO NOT WRITE IN THIS AREA....................................................... (2) (b) Factorise fully 6x 2 + 15x....................................................... (2) (c) Make g the subject of the formula f = 3g + 11....................................................... (2) (Total for Question 22 is 6 marks) 16 *P69531A01624* 23 Karen is organising a party for a charity. She spends DO NOT WRITE IN THIS AREA DO NOT WRITE IN THIS AREA DO NOT WRITE IN THIS AREA DO NOT WRITE IN THIS AREA DO NOT WRITE IN THIS AREA DO NOT WRITE IN THIS AREA £100 on food £120 on a hall £80 on a DJ. Karen sells 54 tickets for the party. Each ticket costs £7.50 Work out the percentage profit Karen makes for the charity........................................................ % (Total for Question 23 is 4 marks) 17 *P69531A01724* Turn over 24 Andrew invests £4500 in a savings account for 2 years. The account pays compound interest at a rate of 3.4% per year. DO NOT WRITE IN THIS AREA DO NOT WRITE IN THIS AREA DO NOT WRITE IN THIS AREA DO NOT WRITE IN THIS AREA DO NOT WRITE IN THIS AREA DO NOT WRITE IN THIS AREA Calculate how much Andrew has in this savings account at the end of the 2 years. £....................................................... (Total for Question 24 is 2 marks) 25 Solve 5x − 14 = 52 − x x =....................................................... (Total for Question 25 is 3 marks) 18 *P69531A01824* 26 Chris, Debbie and Errol share some money in the ratio 3 : 4 : 2 Debbie gets £120 DO NOT WRITE IN THIS AREA DO NOT WRITE IN THIS AREA DO NOT WRITE IN THIS AREA DO NOT WRITE IN THIS AREA DO NOT WRITE IN THIS AREA DO NOT WRITE IN THIS AREA Chris then gives some of his share to Debbie and some of his share to Errol. The money that Chris, Debbie and Errol each have is now in the ratio 2 : 5 : 3 How much money did Chris give to Errol? £....................................................... (Total for Question 26 is 4 marks) 27 The bearing of port B from port A is 147° Work out the bearing of port A from port B. °....................................................... (Total for Question 27 is 2 marks) 19 *P69531A01924* Turn over 28 The diagram shows an empty tank in the shape of a cylinder. DO NOT WRITE IN THIS AREA DO NOT WRITE IN THIS AREA DO NOT WRITE IN THIS AREA DO NOT WRITE IN THIS AREA DO NOT WRITE IN THIS AREA DO NOT WRITE IN THIS AREA 15 cm 43 cm The cylinder has radius 15 cm and height 43 cm. Water flows into the tank at a rate of 0.47 litres per minute. Calculate the number of minutes it will take to completely fill the tank. Give your answer correct to the nearest minute........................................................ minutes (Total for Question 28 is 4 marks) 20 *P69531A02024* 29 ABC is a right-angled triangle. A DO NOT WRITE IN THIS AREA DO NOT WRITE IN THIS AREA DO NOT WRITE IN THIS AREA DO NOT WRITE IN THIS AREA DO NOT WRITE IN THIS AREA DO NOT WRITE IN THIS AREA 49° B C 28 cm Calculate the length of AB. Give your answer correct to 3 significant figures........................................................ cm (Total for Question 29 is 2 marks) 21 *P69531A02124* Turn over 30 Solve the simultaneous equations 3x + y = −4.5 DO NOT WRITE IN THIS AREA DO NOT WRITE IN THIS AREA DO NOT WRITE IN THIS AREA DO NOT WRITE IN THIS AREA DO NOT WRITE IN THIS AREA DO NOT WRITE IN THIS AREA 4x + 3y = −3.5 x =....................................................... y =....................................................... (Total for Question 30 is 3 marks) TOTAL FOR PAPER IS 80 MARKS 22 *P69531A02224* 23 *P69531A02324* BLANK PAGE DO NOT WRITE IN THIS AREA DO NOT WRITE IN THIS AREA DO NOT WRITE IN THIS AREA DO NOT WRITE IN THIS AREA DO NOT WRITE IN THIS AREA DO NOT WRITE IN THIS AREA DO NOT WRITE IN THIS AREA DO NOT WRITE IN THIS AREA DO NOT WRITE IN THIS AREA *P69531A02424* BLANK PAGE 24