Pearson Edexcel Level 1/Level 2 GCSE (9-1) Mathematics June 2024 PDF
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2024
Pearson Edexcel
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Summary
This is a mathematics exam paper for Pearson Edexcel Level 1/Level 2 GCSE (9-1), June 2024. The paper contains questions and instructions for students. The exam covers concepts in mathematics.
Full Transcript
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) Monday 3 June 2024 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 or B pencil, eraser, calculator, Formulae Sheet (enclosed). Tracing paper may be used. Instructions Use black ink or ball-point pen. If pencil is used for diagrams/sketches/graphs it must be dark (HB or B). 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. If your calculator does not have a π button, take the value of π to be 3.142 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 P76924A ©2024 Pearson Education Ltd. F:1/1/1/ *P76924A0124* 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 the following numbers in order. Start with the lowest number. 4 –3 7 2 –1............................................................................................................ (Total for Question 1 is 1 mark) 2 Change 5000 millilitres to litres............................ litres (Total for Question 2 is 1 mark) 31 3 Write as a decimal. 100...................................................... (Total for Question 3 is 1 mark) 4 Write down the multiple of 7 that is between 30 and 40...................................................... (Total for Question 4 is 1 mark) 5 Complete the statement below to make it correct............................ × m = 2m (Total for Question 5 is 1 mark) 2 *P76924A0224* 6 Ben sells houses. The pictogram shows information about the number of houses Ben sold in each of 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 first three months of last year. January February Key: represents 4 houses March April May (a) Write down the number of houses Ben sold in January....................................................... (1) In April, Ben sold 11 houses. (b) Show this information on the pictogram. (1) Ben sold a total of 60 houses in the first five months of last year. (c) Work out the number of houses Ben sold in May....................................................... (3) (Total for Question 6 is 5 marks) 3 *P76924A0324* Turn over 7 (a) Measure the length of this line. Give your answer in centimetres. 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...................................................... centimetres (1) (b) Measure the size of the angle marked x. x °........................... (1) (c) In the space below, draw a hexagon. (1) (Total for Question 7 is 3 marks) 4 *P76924A0424* 8 The points A and B are shown on the grid. 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 4 3 2 A 1 –6 –5 –4 –3 –2 –1 O 1 2 3 4 5 6 x –1 –2 –3 –4 –5 B –6 (a) Write down the coordinates of the point A. (............................ ,............................ ) (1) (b) Find the coordinates of the midpoint of AB. (............................ ,............................ ) (2) (c) On the grid, mark with a cross (×) the point with coordinates (– 4, 2) Label this point C. (1) (Total for Question 8 is 4 marks) 5 *P76924A0524* Turn over 9 Anil has a job as a driver. He is paid for each mile he drives. He is also paid expenses. 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 One week Anil writes down the distance readings from his car. Start of week: 4 7 2 4 1 miles End of week: 4 7 8 7 9 miles For this week, Anil is paid 47p for each mile he drives. He is also paid expenses of £80 Work out the total amount that Anil is paid. Give your answer in pounds. £...................................................... (Total for Question 9 is 4 marks) 6 *P76924A0624* 10 Anita throws a coin 3 times. Each time the coin can land on heads (H) or tails (T). 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 List all the possible outcomes....................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................... (Total for Question 10 is 2 marks) 11 Majid has a spinner. 2 1 3 Majid is going to spin the arrow. The arrow can land on 1 or on 2 or on 3 Majid says, 1 “The probability that the arrow will land on 2 is because the spinner has three sections.” 3 Is Majid correct? You must give a reason for your answer....................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................... (Total for Question 11 is 1 mark) 7 *P76924A0724* Turn over 12 Saira buys 24 bars of chocolate. 2 DO NOT WRITE IN THIS AREA DO NOT WRITE IN THIS AREA DO NOT WRITE IN THIS AREA of the 24 bars are white chocolate. DO NOT WRITE IN THIS AREA DO NOT WRITE IN THIS AREA DO NOT WRITE IN THIS AREA 3 The rest of the 24 bars are milk chocolate. Each milk chocolate bar has a weight of 35 grams. Work out the total weight of the milk chocolate bars that Saira buys....................................................... grams (Total for Question 12 is 3 marks) 13 (a) Simplify 2c × 3d...................................................... (1) T = x + 2y x = 3 and y = – 4 (b) Work out the value of T. T =...................................................... (2) (Total for Question 13 is 3 marks) 8 *P76924A0824* 14 On Monday, Lizzie cycled 36 kilometres in 3 hours. (a) Work out Lizzie’s average speed. 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...................................................... kilometres per hour (2) On Tuesday, Lizzie cycled 36 kilometres at an average speed of 16 kilometres per hour. Lizzie says that the total time she cycled on Monday and Tuesday was less than 5 hours 20 minutes. (b) Is Lizzie correct? You must show how you get your answer. (3) (Total for Question 14 is 5 marks) 9 *P76924A0924* Turn over 15 £3500 is invested in a bank for 6 years. The bank pays simple interest at a rate of 2.5% 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 Work out the total amount of simple interest paid. £...................................................... (Total for Question 15 is 2 marks) 10 *P76924A01024* 16 You can use this graph to change between ounces and grams. 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 300 250 200 grams 150 100 50 0 0 2 4 6 8 10 ounces (a) Change 6 ounces to grams....................................................... grams (1) (b) Change 1 kg to ounces....................................................... ounces (2) (Total for Question 16 is 3 marks) 11 *P76924A01124* Turn over 17 Here is a triangle ABC. 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 C B The region R consists of all points inside the triangle that are less than 4 cm from A and closer to C than to B. On the diagram show, by shading, the region R. (Total for Question 17 is 3 marks) 12 *P76924A01224* 18 Mrs Simpson organised a school trip for 66 children. The total cost of the trip was £1800 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 The school paid 56% of the total cost. The rest of the total cost was divided equally between the 66 children. Work out how much money each child paid. £...................................................... (Total for Question 18 is 3 marks) 35.2 1.73 19 (a) Work out the value of 4.62 8.91 Write down all the numbers on your calculator display............................................................................................................. (2) (b) Write your answer to part (a) correct to 2 significant figures....................................................... (1) (Total for Question 19 is 3 marks) 13 *P76924A01324* Turn over 20 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 19 cm 10 cm C B Work out the length of CB. Give your answer correct to 3 significant figures....................................................... cm (Total for Question 20 is 2 marks) 14 *P76924A01424* 21 (a) Write 90 as a product of its prime factors. 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) A = 22 × 3 B = 2 × 32 (b) Write down the lowest common multiple (LCM) of A and B....................................................... (1) (Total for Question 21 is 3 marks) 15 *P76924A01524* Turn over 22 The number of hours, H, that some machines take to make 5000 bottles is given by 72 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 H = where n is the number of machines. n On Monday, 6 machines made 5000 bottles. On Tuesday, 9 machines made 5000 bottles. The machines took more time to make the bottles on Monday than on Tuesday. How much more time?........................... hours (Total for Question 22 is 2 marks) 16 *P76924A01624* 23 There are only red discs, blue discs and yellow discs in a bag. There are 24 yellow discs in the bag. 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 Mel is going to take at random a disc from the bag. The probability that the disc will be yellow is 0.16 the number of red discs : the number of blue discs = 5 : 4 Work out the number of red discs in the bag....................................................... (Total for Question 23 is 4 marks) 17 *P76924A01724* Turn over 24 (a) Complete the table of values for y = x2 – x 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 6 0 2 (2) (b) On the grid, draw the graph of y = x2 – x for values of x from –2 to 3 y 8 7 6 5 4 3 2 1 –2 –1 O 1 2 3 x –1 –2 –3 –4 (2) (c) Use your graph to find estimates for the solutions of the equation x2 – x = 4............................................................................................................ (2) (Total for Question 24 is 6 marks) 18 *P76924A01824* 25 Andy, Luke and Tina share some sweets in the ratio 1 : 6 : 14 3 DO NOT WRITE IN THIS AREA DO NOT WRITE IN THIS AREA DO NOT WRITE IN THIS AREA Tina gives of her sweets to Andy. DO NOT WRITE IN THIS AREA DO NOT WRITE IN THIS AREA DO NOT WRITE IN THIS AREA 7 1 Tina then gives 12 % of the rest of her sweets to Luke. 2 Tina says, “Now all three of us have the same number of sweets.” Is Tina correct? You must show how you get your answer. (Total for Question 25 is 4 marks) 19 *P76924A01924* Turn over 26 ABCD is a quadrilateral. B C 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 + 15 4x + 8 2x + 15 3x – 3 A D All angles are measured in degrees. Show that ABCD is a trapezium. (Total for Question 26 is 4 marks) 20 *P76924A02024* 27 ABC and DEF are two similar isosceles triangles. 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 D 8 cm 8 cm B 6 cm C E 1.5 cm F DE = DF Work out the length of DE....................................................... cm (Total for Question 27 is 2 marks) 21 *P76924A02124* Turn over 28 The table shows information about the weights of 120 oranges. 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 Weight (w grams) Frequency 50 < w 100 34 100 < w 150 29 150 < w 200 27 200 < w 250 19 250 < w 300 11 (a) Find the class interval that contains the median.................................................................................. (1) (b) Calculate an estimate for the mean weight of the 120 oranges. Give your answer correct to 3 significant figures....................................................... grams (3) (Total for Question 28 is 4 marks) TOTAL FOR PAPER IS 80 MARKS 22 *P76924A02224* 23 *P76924A02324* 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 *P76924A02424* BLANK PAGE 24