Weight First Class Second Class. Letter 0 100g g g g g

Transcription

1 Q1. The table shows UK postal rates. Weight First Class Second Class Letter 0 100g g Large Letter g g g g g g Packet g g g 4.25 Each additional 250 g or part thereof Please note items heavier than 1000 g cannot be sent Second Class (a) What is the cost of sending a 225 g large letter using First Class? Answer... (b) What is the weight of the heaviest item that can be sent Second Class? Answer... (c) A packet weighs 1.3 kg. How much does it cost to send it using First Class? Answer... g (3) (Total 5 marks) Page 1 of 29

2 Q2. Here is a route map of the M62 motorway. The distances, in miles, between four cities are shown on the map. Complete the following table to show the distances between these cities. Liverpool 35 Manchester 80 Leeds 60 Hull (Total 3 marks) Page 2 of 29

3 Q3. The diagram shows how the seats in a theatre are arranged. There are 687 people sitting in the theatre. All of the rows except the back row are completely filled. How many people are sitting in the back row? Answer... (Total 4 marks) Page 3 of 29

4 Q4. 60% of 40 of 55 Which is the larger amount? You must show your working Answer... (Total 4 marks) Q5. Solve the equations (a) 3x = 12 Answer x =... (b) y + 7 = 13 Answer y =... (c) 8z 5 = 11 Answer z =... Page 4 of 29

5 (d) 3(w 2) = 9 Answer w =... (3) (Total 7 marks) Q6. (a) Complete this table of values for y = 2x 1 x y (b) On the grid draw the graph of y = 2x 1 for values of x from 1 to +3. (Total 3 marks) Page 5 of 29

6 Q7. Use each of the numbers 1, 2, 3, 4, 5, 6, 7, 8, 9 and 10 once only. Put the numbers in a line so that any two numbers that are next to each other always add up to either 10 or Answer...,...,...,...,...,...,...,...,...,... (Total 2 marks) Q8. A youth club hires a disco for 70. Tickets for the disco cost 80p each. They sell 140 tickets. Friday night DISCO Tickets 80 p How much profit does the youth club make? Answer... (Total 3 marks) Q9. Here is a list of numbers From this list, write down (a) a multiple of 7, Answer... Page 6 of 29

7 (b) the two factors of 24, Answer... (c) a square number, Answer... (d) a prime number. Answer... (Total 5 marks) Q10. This table shows the results of five football teams after they have each played ten games. Team Games played Games won Games drawn Games lost Arsenal Chelsea Fulham Tottenham West Ham Three points are awarded for each game won. One point is awarded for each game drawn. No points are awarded for each game lost. Page 7 of 29

8 Which team has the most points? You must show all your working Answer... (Total 4 marks) Q11. (a) The table shows the number and type of coins in Jack s pocket. Coin 1 50 p 20 p 10 p 5 p 2 p 1 p Number of coins How much money does Jack have? Answer... Page 8 of 29

9 (b) Lucy buys two chocolate bars costing 65 p each. She pays with a 5 note and receives the correct change. She is given exactly five coins. Complete the table to show what these coins could be. Coin p 20 p 10 p 5 p 2 p 1 p Number of coins (3) (Total 5 marks) Page 9 of 29

10 Q12. Mary is thinking of a number. What number is Mary thinking of? Answer... (Total 2 marks) Q13. (a) You are given that 6x = 48 Work out the value of 5x Answer... Page 10 of 29

11 (b) Solve the equation 2(4y 1) = 18 Answer y =... (3) (Total 5 marks) Q14. (a) Work out Give your answer as a power of 7. Answer... (b) Work out Give your answer as a whole number. Answer... (Total 2 marks) Page 11 of 29

12 Q15. Motorists should drive with a safe gap between their vehicle and the vehicle in front. This graph shows the minimum safe gap between vehicles at different speeds. Different gaps are recommended for wet roads and dry roads. (a) The road is dry. A car is travelling at 30 miles per hour behind a lorry. What is the minimum safe gap between the car and the lorry? Answer... metres Page 12 of 29

13 (b) Tim is driving at 60 miles per hour on a dry road. He is driving with the minimum safe gap between his car and the car in front. It starts to rain heavily and both cars slow down to 40 miles per hour. Should Tim increase the gap between his car and the car in front to continue driving with the minimum safe gap? You must show clearly how you obtain your answer. (3) (Total 4 marks) Q16. (a) Work out Answer... (b) Estimate the value of Answer... (Total 3 marks) Page 13 of 29

14 Q17. Three shops advertise the same luxury chair. Each shop has a special offer. (a) Mutasem wants to buy two of these luxury chairs. At which shop is the price of the two chairs the cheapest? You must show your working. Answer: Shop... (5) (b) Mutasem wants to have the chairs delivered. The table shows the delivery cost and the delivery time for each shop. Shop Total delivery cost Delivery time A Free 3 weeks B 20 Next day C 10 8 weeks Taking everything into account give a reason why each shop could be the best choice. Shop A Reason... Page 14 of 29

15 Shop B Reason... Shop C Reason... (3) (Total 8 marks) Q18. Here are some number machines. Fill in the missing numbers. The first one is done for you. (a) (b) (c) (Total 3 marks) Page 15 of 29

16 Q19. Complete the following table. Put a tick ( ) next to the statements that are right. Put a cross ( ) next to the statements that are wrong. Statement or 8 is a factor of 56 8 is a square number 8 million = is a multiple of 8 When you divide a whole number by 8 the greatest possible remainder is 7 (Total 3 marks) Q20. (a) Write down the square of 11. Answer... (b) Given that x = 12 Write down the value of x 2 Answer... 3 (c) Given that y = 125 Write down the value of y. Answer... (Total 3 marks) Q21. (a) Solve the equation x + 5 = 20 Answer x =... Page 16 of 29

17 (b) Solve the equation 2y + 3y = 20 Answer y =... (Total 3 marks) Q22. (a) A shopkeeper uses this method to work out VAT. Write down the price before VAT Divide by 10 Divide your answer by 4 Multiply your new answer by 7 The answer is the VAT Use this method to work out the VAT for an item with a price of 120 before VAT. You must show your working. Answer... (4) Page 17 of 29

18 (b) A different shopkeeper uses a table to work out the price of items including VAT. Price excluding VAT Price including VAT Use the table to work out the price including VAT of an item that costs 61 excluding VAT. Answer... (3) (Total 7 marks) Q23. Given that a = 7, b = 3 and c = 5 (a) Work out the value of a + 2b + 3c Answer... (b) Work out the value of abc Answer... (c) abcd = 0 Write down the value of d. Answer... (Total 5 marks) Page 18 of 29

19 Q24. Here are instructions for cooking a turkey. Cook for 15 minutes at 220 C Reduce the oven temperature to 160 C and cook for 40 minutes per kilogram. Kirsty is going to cook a 7 kilogram turkey. She wants to take it out of the oven at pm. At what time must she start to cook it? Answer... (Total 4 marks) Q25. The diagram shows a target. (a) The numbers 1 and 18 are next to each other. They add up to 19. Which three other pairs that are next to each other add up to 19? Answer... and and and... (3) Page 19 of 29

20 (b) Which two numbers that are next to each other have the largest difference? Answer... and... (c) The numbers 20 and 3 are opposite each other. They add up to 23. One pair of opposite numbers add up to a square number. Which pair of opposite numbers add up to a square number? Answer... and... (Total 5 marks) Q26. (a) Work out Answer... (b) Given that = 2992 complete the following. (i) 748 = 2992 (ii) 74.8 = (Total 3 marks) Page 20 of 29

21 Q27. (a) Two square numbers under 50 have a difference that is also a square number. Which two square numbers are they? Answer... and... (b) Three consecutive square numbers have a total greater than 50 but less than 100. Which three square numbers are they? Answer... and... and... (Total 4 marks) Q28. Complete this table. Expression Value 2x 8 5x 2x + 3y 5 y 3x y (Total 5 marks) Page 21 of 29

22 Q29. Tom is 60. His daughter Fiona is His grandson James is of his age. of his age. How many years older than James is Fiona? Answer... (Total 4 marks) Q30. (a) Simplify a + a + a Answer... (b) Simplify 8b + 3 2b + 7 Answer... (c) Solve the equation = 6 Answer x =... (Total 4 marks) Page 22 of 29

23 Q31. Mohsin invests some money in a cash ISA (c) and in a savings account (s). The ratio of the amounts of money invested is c : s = 3 : 7 He invests 3600 in the cash ISA. How much money does he invest altogether? Answer... (Total 2 marks) Q32. This question is about sequences that start 1, 4 (a) Here are the first three terms of a sequence The rule for continuing this sequence is Multiply by 4 What is the next term? Answer... (b) Another sequence uses a pattern of dots. Here are the first three patterns. Pattern 1 Pattern 2 Pattern 3 Page 23 of 29

24 (i) Draw Pattern 4 (ii) How many dots are in Pattern 5?... Answer... (c) Here are the first five terms of a different sequence What is the next term? Answer... (Total 4 marks) Q33. (a) Work out Answer... (b) (i) Work out Answer... Page 24 of 29

25 (ii) Work out of Answer... (c) Work out Answer... (Total 6 marks) Q34. (a) Work out 17 5 Answer... (b) Work out 10% of 52 Answer... (c) Write down the answer to Answer... (Total 4 marks) Page 25 of 29

26 Q35. Write 65%, 0.7 and in order of size starting with the smallest. You must show your working Answer... (Total 3 marks) Q36. A teacher sets an extended task. Any task that is handed in late has the original mark reduced using this formula. Reduction = (a) Adam hands in his task ten days late. His original mark is 32. Work out the new mark. Answer... (3) Page 26 of 29

27 (b) Belinda hands in her task 14 days late. Her mark is reduced by 7 marks. Work out the original mark. Answer... (3) (Total 6 marks) Q37. The table shows a pattern for square numbers (a) Complete the table. (b) Nathan, Tessa and Kim make some statements. Tick the appropriate box for each statement. Name Statement True False Nathan The square of an odd number is always odd Tessa The square of an odd number can end in a 3 or a 7 Kim The square of an odd number is always one more than a multiple of 4 (3) Page 27 of 29

28 (c) Here is another pattern. 2 = 4 and 1 3 = = 16 and 3 5 = = 36 and 5 7 = = 64 and 7 9 = = 100 and 9 11 = 99 You are given that 88 = 7744 Write down the value of Answer... (Total 6 marks) Q38. (a) A plant costs 4.99 How many of these plants can be bought for 50? Answer... (b) Jill writes = 998 Is she correct? Explain your answer. (Total 4 marks) Page 28 of 29

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