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

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Gervase Hubbard
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1 Mathematics A Paper 1 (Non - Calculator) Foundation Tier PiXL Live Mock Paper Time: 1hour 45 minutes Page 1

2 Page 2

Answer ALL questions. Write your answers in the spaces provided. You must write down all stages in your working. You must NOT use a calculator. Q1. (a) Write down the number marked with an arrow.

3 Answer ALL questions. Write your answers in the spaces provided. You must write down all stages in your working. You must NOT use a calculator. Q1. (a) Write down the number marked with an arrow. (b) This is part of a ruler. Write down the length marked with an arrow......cm (c) This is a thermometer. Write down the temperature shown....ºc (d) This is a parcel on some scales. Write down the weight of the parcel.... kg ( Total 4 marks) Page 3

4 Q2. Here is a point P marked with a cross ( ). P (a) Draw a line 7 cm long. Start from the point P. (b) On your line, mark with a cross ( ) the point which is 3 cm from P. Label this point Q. (Total 2 marks) Page 4

Q3*. Laura and Jaz were worried about the amount of traffic in their town. The town council aims to reduce the percentage of lorries to 25% of the total number of vehicles.

5 Q3*. Laura and Jaz were worried about the amount of traffic in their town. The town council aims to reduce the percentage of lorries to 25% of the total number of vehicles. Laura and Jaz carried out a survey of the types of vehicles passing Laura s house during 10 minutes one Saturday morning. Here is a list of the vehicles they saw. Car Van Lorry Motorbike Bus Car Van Car Car Van Lorry Motorbike Motorbike Motorbike Van Lorry Motorbike Car Car Bus Lorry Car Lorry Motorbike Laura and Jaz were going to give a talk about the results of their survey. (a) Design a suitable chart or table Laura could use and a different chart or table that Jaz could use to make a summary of the list of vehicles they saw. Use the space below or the grid provided. (6) Page 5

6 The council s aim was to reduce the percentage of lorries in the town to be less than 25%. (b) Did the council succeed? You must explain your answer Laura and Jaz s survey was not a good one. (c) Explain how Laura and Jaz could design a better survey to investigate the council s plan (Total 10 marks) Page 6

7 Q4. Parul has 1.70 She wants to buy a drink and something to eat. (a) What are the different combinations she can buy? Ken buys 2 double burgers with cheese, 1 large fries and 1 large cola. He pays with a 10 note.... (b) He gets the best price. What change should he get? Page 7... (3) (Total 5 marks)

8 Q5. Here is a coordinate grid. (a) Write down the coordinates of the point P. (...,...) R is the midpoint of PQ. (b) Write down the coordinates of the point R. (...,...) The point B is on the x-axis. The line BP is parallel to the y-axis. (c) Write down the coordinates of the point B. (...,...) (Total 5 marks) Page 8

9 Q6. The table shows the highest temperature and the lowest temperature in London and in Oslo on the same day. Highest Lowest London 8 C 7 C Oslo 4 C 9 C (a) Work out the difference between the lowest temperature in London and the lowest temperature in Oslo.... C (b) Work out the difference between the highest temperature in London and the lowest temperature in London.... C (Total 2 marks) Page 9

Q7. Here are two fair 4-sided spinners. One is a Blue spinner and one is a Red spinner. Blue Spinner Red Spinner Each spinner has four sections numbered 2, 4, 6 and 8. Each spinner is to be spun once.

10 Q7. Here are two fair 4-sided spinners. One is a Blue spinner and one is a Red spinner. Blue Spinner Red Spinner Each spinner has four sections numbered 2, 4, 6 and 8. Each spinner is to be spun once. Total score = Blue spinner score + Red spinner score (a) List the different ways that the total score can be Ali and Shazia play a game. In each round of the game, Ali spins the Blue spinner once and Shazia spins the Red spinner once. Ali wins when the Blue spinner score is greater than the Red spinner score. (b) Work out the probability that Ali will win the first round.... (4) (Total 6 marks) Page 10

11 Q8. The table gives information about the drinks sold in a café one day. Drink Frequency Size of angle Hot chocolate Soup 15 Coffee 25 Tea 30 Complete the pie chart to show this information. (Total 3 marks) Page 11

12 Q9. Here is a list of 8 numbers From the list, write down (a) two odd numbers,... and... (b) two numbers with a sum of and... (c) a factor of (d) a multiple of 4... James says that 10 is a square number because 5 2 = 10 (e) James is wrong. Explain why (Total 5 marks) Page 12

13 Q10. Here are the plan and front elevation of a prism. The front elevation shows the cross section of the prism. Plan Front elevation (a) On the grid below, draw a side elevation of the prism. (b) In the space below, draw a 3-D sketch of the prism. (Total 4 marks) Page 13

14 Q11. Here is part of a train timetable from Peterborough to London. Station Time of leaving Peterborough Huntingdon St Neots Sandy Biggleswade Arlesey (a) Which station should the train leave at 09 01?... The train arrives in Sandy at (b) How many minutes should the train wait in Sandy?... minutes The train should take 41 minutes to travel from Arlesey to London. (c) What time should the train arrive in London?... (Total 5 marks) Page 14

15 Q12. Here is a rectangle. Diagram NOT accurately drawn (a) Work out the perimeter of the rectangle.... cm (b) Work out the area of the rectangle.... cm 2 (Total 4 marks) Page 15

16 Q13. Harry buys some tiles so that he can tile his bathroom floor. One of the tiles is drawn on the grid below. On the grid below show how the tiles will tessellate. You should draw at least 6 tiles. (Total 2 marks) Page 16

17 Q14*. Mrs White wants to buy a new washing machine. Three shops sell the washing machine she wants. Clean Machines Electrics Wash n Go Washing machine Washing machine Washing machine Buy now pay later! off the usual price deposit plus of plus 10 equal payments of VAT at Mrs White wants to buy the cheapest one. She decides to buy her washing machine from one of these 3 shops. From which of these shops should she buy her washing machine? You must show how you decided on your answer.... (Total 6 marks) Page 17

18 Q15. This conversion graph can be used to change between metres and feet. (a) Use the conversion graph to change 6 metres to feet.... feet (b) Use the conversion graph to change 8 feet to metres.... metres Robert jumps 4 metres. James jumps 12 feet. (c) (i) Who jumps furthest, Robert or James?... (ii) How did you get your answer? (Total 4 marks) Page 18

19 Q16. (a) Expand (x + 2)(x + 3).... (b) Factorise 5x 10y... (b) Factorise fully 3pq 12p 2... (Total 5 marks) Page 19

20 Q17. Here are the heights, in cm, of 20 sunflower plants (a) Draw an ordered stem and leaf diagram for these heights. (3) (b) Work out the range.... (c) Find the median height.... (Total 5 marks) Page 20

21 Q18*. Jennie s council has a target of for households to recycle their waste. In January, Jennie recycled of her household waste. In February, she recycled 15 kg of her 120 kg of household waste. Her result for March was 13% recycled out of 112 kg of household waste. Has Jennie met the council s target? Which was her best month for recycling? Show clearly how you got your answers. (Total 4 marks) Page 21

22 Q19. (a) Express 120 as a product of its prime factors. (b) Find the highest common factor (HCF) of 90 and 120. (Total 3 marks) Page 22

23 Q20* ABC is an isosceles triangle. Work out the size of the angle marked x. Give reasons for your answer (Total 5 marks) Page 23

24 #Q21. Here is a list of ingredients needed to make 12 scones. 220g self raising flour 40g butter 150ml milk 2 tablespoons sugar Viv is making scones for 15 people. She is marking 2 scones for each person. Work out the amount of each ingredient she needs. Self raising flour g Butter g Milk ml Tablespoons of sugar.... (Total 3 marks) Page 24

25 Q22. You can use this rule to work out the total charge for hiring a cement mixer. Total charge = 30 plus 7 for each hour of hire On Monday, Sally hired a cement mixer for 4 hours. (a) Work out Sally s total charge.... On Tuesday, Tom hired a cement mixer. Tom s total charge was 51 (b) Work out for how many hours Tom hired the cement mixer.... hours (3) (Total 5 marks) Page 25

26 Q23*. In the diagram all of the angles are in degrees. Find the size of angle CDE. Diagram NOT accurately drawn... (Total 4 marks) Page 26

Instructions. Information. Advice

Instructions. Information. Advice Instructions Information 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