Mathematics A Paper 2 (Calculator) Foundation Tier. PiXL Live Mock Paper Time: 1hour 45 minutes

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1 Mathematics A Paper 2 (Calculator) Foundation Tier PiXL Live Mock Paper Time: 1hour 45 minutes 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. Calculators may be used. If your calculator does not have a! button, take the value of! to be unless the question instructs otherwise. Information The total mark for this paper is 100. The marks for each question are shown in brackets use this as a guide as to how much time to spend on each question. Questions labelled with an asterisk (*) are ones where the quality of your written communication will be assessed you should take particular care on these questions with your spelling, punctuation and grammar, as well as the clarity of expression. Advice 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. Page 1

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3 Answer ALL questions. Write your answers in the spaces provided. You must write down all stages in your working. Q1. (a) Write the number 8 million in figures.. (b) Write the number 7102 in words.. (c) Write the number correct to one decimal place.. (Total 3 marks) Page 3

4 Q2. Write down the name of each of these two 3-D shapes. (i) (ii) (i) (ii).. (Total 2 marks) Page 4

5 Q3. The pictogram shows the number of plates sold by a shop on Monday, Tuesday, Wednesday and Thursday of one week. Monday Tuesday Wednesday Thursday Key: represents 10 plates Friday Saturday (a) Work out the number of plates sold on Monday.... (b) Work out the number of plates sold on Tuesday.... The shop sold 40 plates on Friday. The shop sold 25 plates on Saturday. (c) Use this information to complete the pictogram. (Total 4 marks) Page 5

6 Q4. (a) Here is a right-angled triangle. Mark the right angle with a letter R. (b) Here is a trapezium. Mark an acute angle with a letter A. (c) On the grid, draw a kite. (Total 3 marks) Page 6

7 Q5. (a) Simplify m + m + m + m... (b) Simplify p q 4... (c) Expand 5(3x 2)... (Total 3 marks) Page 7

8 Q6. (a) Shade one more square to make a pattern with 1 line of symmetry. (b) Shade one more square to make a pattern with rotational symmetry of order 2 (Total 2 marks) Page 8

9 Q7. The table gives information about the prices and the features of five mobile phones. The ticks ( ) in the table show the features of each phone. Feature Mobile phone Price Camera MP3 FM Radio Video Astra Crystal Pixar Spark Tacco (a) Which of the five mobile phones is the most expensive?... (b) Which of the mobile phones have MP3?... (c) Which mobile phone has Video but not FM Radio?... Mirza has a monthly plan for his mobile phone. Each month, he pays a total of 9.79 plus the cost of any extra minutes. Last month, Mirza used 112 minutes. Monthly Plan For 9.79 per month you get: 100 minutes and unlimited texts. Extra minutes: 24.5p each (d) Work out how much he paid in total last month.... (4) (Total 7 marks) Page 9

10 Q8. Diagram NOT accurately drawn (a) (i) Write down the value of x. x =... (ii) Give a reason for your answer Diagram NOT accurately drawn This diagram is wrong. (b) Explain why (Total 3 marks) Page 10

11 Q9. Jeff lives in Bath. He works in an office in London. Jeff leaves his home in Bath at 07 10, he catches a train in Bath at The train takes 1 hour 35 minutes to get to London. It then takes Jeff 40 minutes to get to his office. At what time does Jeff get to this office? (Total 3 marks) Page 11

12 Q10. John cleans carpets of different areas. He uses this graph to work out the cost of cleaning a carpet. A carpet has an area of 30 m 2. (a) Use the graph to find the cost of cleaning this carpet.... It costs 150 to clean another carpet. (b) Use the graph to find the area of this carpet.... m 2 A rectangular carpet has a length of 8.6 m. It has a width of 5 m. (c) Work out the cost of cleaning this carpet.... (3) (Total 5 marks) Page 12

13 Q11. Here are some patterns made from sticks. (a) Complete Pattern number 4. (b) Complete the table. Pattern number Number of sticks Jenny wants to find the number of sticks in Pattern number 100. (c) Write down a method she could use (Total 5 marks) Page 13

14 Q12. This formula is used to predict the adult height of a baby girl. H = H = adult height of girl (cm) F = height of father (cm) M = height of mother (cm) Karen and Keith have a baby girl. They are interested in finding out how tall their baby girl is likely to grow. Karen has a height of 156 cm. Keith has a height of 172 cm. (a) Use the formula to predict the adult height of their baby girl. Show clearly how you get your answer. Height... cm John and Jenny also have a baby girl. John and Jenny are the same height. When they use the formula to predict the adult height of their baby girl they get an answer of 162 cm. (b) Find an estimate of Jenny s height. Give your answer to the nearest centimetre. Height... cm (3) (Total 5 marks) Page 14

15 Q13. The pie charts show some information about the numbers of matches won, drawn and lost by a cricket team and by a hockey team last year. The cricket team won 15 matches. (a) How many matches did the cricket team lose?... (b) Which team won the most matches last year? Tick ( ) one box to show your answer. Cricket Hockey Not enough information Explain your answer (Total 3 marks) Page 15

16 Q14. (a) Solve 4x = 12 x =... (b) Solve 5p 16 = 4 p =... (c) Solve 2q 4 = 5q + 5 q =... y = 3(2x 1) 2(5 + 3x) (d) Find the value of y. y =... (Total 7 marks) Page 16

17 Q15. On the grid, draw the graph of y = 2x-3 for values of x from -2 to 2. (Total 3 marks) Page 17

18 Q16. Diagram NOT accurately drawn AB is parallel to CD. (i) Write down the value of y.... (ii) Give a reason for your answer.... (Total 2 marks) Page 18

19 Q17. Peter won 75 as a prize. He gave of the prize money as a present to Roger and Bethan. Roger and Bethan shared the present in the ratio 2 : 3 Work out how much they each got. Roger... Bethan... (Total 4 marks) Page 19

20 Q18*. Nilmini is going to buy some grass seed. Grass seed is sold in 200g boxes costing 2.50 each, in 1000g boxes costing each. Which box of grass seed gives the better value for money? You must show all your working. (Total 4 marks) Page 20

21 Q19. Mary plays a game of throwing a ball at a target. The table shows information about the probability of each possible score. Score Probability 0.09 x 3x Mary is 3 times as likely to score 2 points than to score 1 point. (a) Work out the value of x.... (3) Mary plays the game twice. (b) Work out the probability of Mary scoring a total of (3) (Total 6 marks) Page 21

22 Q20. (a) Rotate the shaded shape 90 clockwise about the point O. (b) Describe fully the single transformation that will map shape P onto shape Q.... (Total 4 marks) Page 22

23 Q21. (a) Use your calculator to work out the value of ! Write down all the figures on your calculator display... (b) Write your answer to part (a) correct to 3 significant figures.. (Total 3 marks) Page 23

24 Q22. Barbara goes on holiday to Prague. The currency in Prague is the Koruna (KC). This graph can be used to convert between (pounds) and KC (Koruna). The exchange rate is 1 = 30 KC. Barbara bought some things in London. She saw the same things on sale in Prague. The table shows the cost in (pounds) and the cost in KC (Koruna). Item Cost in London (pounds) Cost in Prague KC (Koruna) Headphones KC Suitcase KC Music player KC Barbara thinks the total cost of these things was more in London than in Prague. Is she correct? Give a reason for your answer. You must show all your working. (Total 5 marks) Page 24

25 Q23. Naomi wants to find out how often adults go to the cinema. She uses this question on a questionnaire. How many times do you go to the cinema? Not very often Sometimes A lot (a) Write down two things wrong with this question (b) Design a better question for her questionnaire to find out how often adults go to the cinema. You should include some response boxes. (Total 4 marks) Page 25

26 Q students each took a French test and a German test. The table shows their marks. French marks German marks (a) Complete the scatter graph to show the information in the table. The first 8 points in the table have been plotted for you. German mark French mark (b) What type of correlation does this scatter graph show?... (c) (d) Draw a line of best fit on the scatter diagram. Use your line of best fit to estimate (i) the German mark for a student with a French mark of 26,... (ii) the French mark for a student with a German mark of (Total 5 marks) Page 26

27 Q25. The diagram shows two small circles inside a large circle. The large circle has a radius of 8 cm. Each of the two small circles has a diameter of 4 cm. Diagram NOT accurately drawn (a) Write down the radius of each of the small circles.... cm (b) Work out the area of the region shown shaded in the diagram. Give your answer correct to one decimal place.... cm 2 (4) (Total 5 marks) Page 27