Pearson Edexcel GCSE Maths Paper 1F November 2023 PDF

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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) Wednesday 8 November 2023 Morning (Time: 1 hour 30 minutes) Paper reference 1MA1/1F Mathematics   PAPER 1 (Non‑Calculator) Foundation Tier You must have: Ruler graduated in centimetres and Total Marks millimetres, protractor, pair of compasses, pen, HB pencil, eraser, Formulae Sheet (enclosed). Tracing paper may be used. Instructions Use black ink or ball-point pen. centrethe Fill in boxes at the top of this page with your name, 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 not be used. 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 P69525A ©2023 Pearson Education Ltd. Z:1/1/1/1/1/ *P69525A0124*  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 Here is a list of numbers. 2     4     4     7     8 Work out the range of these numbers....................................................... (Total for Question 1 is 1 mark) 2 Work out    120 – 89...................................................... (Total for Question 2 is 1 mark) 3 Simplify   3 × a × 4...................................................... (Total for Question 3 is 1 mark) 2 *P69525A0224*   4 Measure the size of the angle marked 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 °...................................................... (Total for Question 4 is 1 mark) 1 5 Work out of 300 5...................................................... (Total for Question 5 is 1 mark) 3  *P69525A0324* Turn over 6 There are 3 litres of oil in a can. Jermaine uses 700 millilitres of the oil. 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 amount of oil left in the can. Give your answer in millilitres....................................................... millilitres (Total for Question 6 is 3 marks) 4 *P69525A0424*   7 Matt is drawing a scale diagram. 1 cm represents 5 m. 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 He draws a line 3 cm long. (a) What real distance does the line represent?...................................................... m (1) The real distance between two points is 20 m. (b) What is the distance between the two points on the scale diagram?...................................................... cm (1) (Total for Question 7 is 2 marks) 5  *P69525A0524* Turn over 8 Miss Bailey asked 24 students where they each wanted to go on a school trip. Here are the results. 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 museum castle castle farm farm castle farm farm castle farm castle castle castle farm castle museum museum farm castle museum museum museum castle castle (a) Complete the frequency table. Place Tally Frequency castle farm museum (2) (b) Write down the place that is the mode....................................................... (1) 6 *P69525A0624*   (c) Draw a bar chart to show the results. 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 (3) (Total for Question 8 is 6 marks) 7  *P69525A0724* Turn over 9 Selina has a bag of 22 counters. 5 of the counters are blue. 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 9 of the counters are red. 8 of the counters are pink. Selina takes at random a counter from the bag. Write down the probability that Selina (i) takes a red counter,...................................................... (1) (ii) does not take a pink counter,...................................................... (1) (iii) takes a white counter....................................................... (1) (Total for Question 9 is 3 marks) 8 *P69525A0824*   10 Here are the ingredients needed to make 20 peanut butter cookies. DO NOT WRITE IN THIS AREA DO NOT WRITE IN THIS AREA DO NOT WRITE IN THIS AREA Makes 20 cookies DO NOT WRITE IN THIS AREA DO NOT WRITE IN THIS AREA DO NOT WRITE IN THIS AREA 250 g peanut butter 200 g sugar 2 small eggs Derek wants to make 60 cookies. He has 900 g of peanut butter. Does Derek have enough peanut butter to make 60 cookies? You must show how you get your answer. (Total for Question 10 is 3 marks) 9  *P69525A0924* Turn over 11 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 On the grid, draw an enlargement of the triangle with a scale factor of 3 (Total for Question 11 is 2 marks) 10 *P69525A01024*   12 P = 2g + 4h (a) (i) Work out the value of P when g = 3 and h = 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 P =...................................................... (2) (ii) Work out the value of g when P = 38 and h = 3 g =...................................................... (2) V = 3r – q (b) Work out the value of V when r = –3 and q = 2 V =...................................................... (2) (Total for Question 12 is 6 marks) 11  *P69525A01124* Turn over 13 Chloe is making scrunchies. Chloe has a large number of hair bands. 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 Each hair band costs 8p. She buys 100 g of wool for £3 Chloe uses 1 hair band and 5 g of wool to make each scrunchy. She makes as many scrunchies as she can. Work out the total cost of each scrunchy that she makes. Give your answer in pence....................................................... p (Total for Question 13 is 4 marks) 12 *P69525A01224*   14 On the grid, draw the graph of y = 4x – 1 for values of x from –2 to 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 y 8 7 6 5 4 3 2 1 –2 –1 O 1 2 x –1 –2 –3 –4 –5 –6 –5 –7 –8 –9 –10 (Total for Question 14 is 3 marks) 13  *P69525A01324* Turn over 15 Steve is buying a car. The car costs £12 000 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 Steve pays 25% of the cost as a deposit. He pays the rest of the cost in 20 equal monthly payments. How much is each monthly payment? £...................................................... (Total for Question 15 is 4 marks) 16 Shah takes an exam. The exam is out of 60 marks. Shah needs to score at least 70% of the marks to pass the exam. He scores 45 marks. Show that Shah passes the exam. (Total for Question 16 is 2 marks) 14 *P69525A01424*   3 1 17 Work out    ÷ 5 6 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 mixed number....................................................... (Total for Question 17 is 3 marks) 18 Work out   6.3 × 2.4...................................................... (Total for Question 18 is 3 marks) 15  *P69525A01524* Turn over 19 (a) (i) Write down the value of 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...................................................... (1) (ii) Write down the value of 5–2...................................................... (1) 25 × 2 4 (b) Write 3 in the form 2n where n is an integer. 2...................................................... (2) (Total for Question 19 is 4 marks) 16 *P69525A01624*   20 (a) Write 156 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) (b) Find the highest common factor (HCF) of 156 and 130...................................................... (2) (Total for Question 20 is 4 marks) 17  *P69525A01724* Turn over 21 The mean length of 5 sticks is 4.2 cm. Nawal measured the length of one of the sticks as 7 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 (a) Work out the mean length of the other 4 sticks....................................................... cm (3) Nawal made a mistake. The stick was not 7 cm long. It was 17 cm long. (b) How does this affect your answer to part (a)?...................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................... (1) (Total for Question 21 is 4 marks) 18 *P69525A01824*   22 The point P lies on the line AB. Use ruler and compasses to construct an angle of 90° at P. You must show all your construction lines. 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 A B P (Total for Question 22 is 2 marks) 19  *P69525A01924* Turn over 23 The diagram shows an isosceles triangle ABD and the straight line ABC. D 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° A y° w° B C BA = BD x:y = 2:1 Work out the value of w. w =...................................................... (Total for Question 23 is 4 marks) 20 *P69525A02024*   24 Mano has three shelves of books. There are x books on shelf 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 There are (3x + 1) books on shelf B. There are (2x – 5) books on shelf C. There is a total of 44 books on the three shelves. All the books have the same mass. The books on shelf B have a total mass of 7500 g. Work out the total mass of the books on shelf A....................................................... g (Total for Question 24 is 5 marks) 21  *P69525A02124* Turn over 25 A piece of glass has a mass of 27 g and a volume of 10 cm3 Work out the density of the piece of glass. 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...................................................... g/cm3 (Total for Question 25 is 2 marks) 5.7 × 8.2 26 Work out an estimate for 0.26...................................................... (Total for Question 26 is 3 marks) 22 *P69525A02224*   27 (a) Expand and simplify   (3x + 2)(2x – 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.................................................................................. (2) (b) Factorise   x 2 – 16.................................................................................. (1) (Total for Question 27 is 3 marks) TOTAL FOR PAPER IS 80 MARKS 23  *P69525A02324* DO NOT WRITE IN THIS AREA DO NOT WRITE IN THIS AREA DO NOT WRITE IN THIS AREA  *P69525A02424* BLANK PAGE 24