1. MATHEMATICS KEY STAGE ? 200? TEST B LEVELS 3-5 PAGE MARKS 5 7 9 11 13 15 TOTAL BORDERLINE CHECK 17 CALCULATOR ALLOWED First Name Last Name School Mark Scheme Woodfield Middle School

2. Draw a line from each card to the correct part of the number line. 1 mark 0 100 200 300 400 500 600 700 One has been done for you. 184 + 473 840 ÷30 18 x 14 906 - 340 = 28 = 566 = 252

3. Write in the missing numbers. 7 1 mark 47 x = 329 - 83 = 201 284 283 + = 511 228

4. Tony and Neil buy 3 boxes of hats between them. Tony pays £16.25 How much must Neil pay? 2 marks Show your method. You may get a mark. A box of four party hats costs £11.40 £2.85 How much does each hat cost? 1 mark Total price = 3 x £11.40 = £34.20 £17.95 Neil pays £34.20 - £16.25 =

5. Lisa thinks of a number. She says, 4 “Add 5 to my number and then multiply the result by 9. The answer is 81." What is Lisa’s number? 1 mark 27 1 mark Jude thinks of a number. She says, “Double my number and then add 18. The answer is 72." What is Jude’s number? 81 ÷ 9 = 99 – 5 = 4 72 - 18 = 5454 ÷ 2 = 27

6. 34.03 x = 231.404 Write in the missing number. 6.8 1 mark 20.75 + 29.28 = 50.03 Write in the missing number. 1 mark - 48.03 = 79.91 Write in the missing number. 1 mark 127.94

7. 136 people go to a local football match. They pay £1.65 each. £224.40 How much ticket money is collected? 1 mark Programmes cost 16p each. Selling programmes raises £14.24 How many programmes were sold? 2 marks Show your method. You may get a mark. £14.24 ÷ £0.16 = 89 89

8. The table shows the cost of train tickets to 3 cities. 1 mark HullYorkLeeds £11.30£16.60£9.10 £21.55£25.50£17.25 £7.75£11.35£7.85 £12.95£15.85£14.00 return single return single Adult Child What is the total cost for a return journey to York for two adults and one child? £66.85 1 mark How much more does it cost for two adults to make a single journey to Hull than Leeds? £4.40 £25.50 + £25.50 + £15.85 £22.60 - £18.20

9. Calculate of 408 255 1 mark 5 8 189 1 mark Calculate of 441 3 7 312 1 mark Calculate of 702 4 9

10. Use a calculator to work out 82.3 x (3.1 + 7.45) 1 mark 868.265 Use a calculator to work out 101 – (2.3 + 17.8) 1 mark Use a calculator to work out 53.2 + (9.3 x 3.3) 1 mark 80.9 83.89

11. Circle the closest number to 0.6 1 mark 0.49 0.52 0.69 0.7 Circle the closest number to 0.01 1 mark 0.9 0.09 0.1 0.009 0.616 What must be added to 0.384 to make 1? 1 mark 0.11 0.08 0.09 0.10 0.89 0.08 0.09 0.001 1 – 0.384

12. Write in what the missing numbers might be. These must add up to 110. 1 mark 240 + = 350 - 6050 Choose a simple number here, like 2 Write in what the missing numbers might be. 1 mark 240 x = 350 + 2130 Place a simple number in the first space, like 60

13. 39 x = 429 Write in the missing numbers. 11 1 mark ÷ 43 = 201 8643 313 - = 89 224

14. Here is part of a number line. 2 marks Write in the four missing numbers. 6 6 1 4 5 1 4 5 3 4 6 1 2 7

15. What could Nebuchadnezzar’s fraction be? 2 marks Nebuchadnezzar makes a fraction using two number cards. He says, ‘My fraction is equivalent to ¼ One of the number cards is 8’ Give both possible answers. or

16. Here are five digit cards. 1 mark 1 2 3 4 5 Use all five digit cards once to make this sum correct. 4 5 2 1 3 What other possibilities exist? + 6 9

17. There are 6 pieces of fudge in a box. 96 How many pieces of fudge are there altogether? 1 mark A shop has 16 boxes on its shelves. How many boxes must Mandy buy so that she has at least 50 pieces of fudge? Mandy is going to eat 50 pieces of fudge for charity. 1 mark 950 ÷ 6 = 8 remainder 2

18. Michelle makes a sequence of numbers. Her rule is “double the last number and subtract 10” 170 1 mark Write in the next two numbers in her sequence. 30 50 90 330 ………………………………………………… ………………………………………………… ………………………………………………… Michelle says that 10 020 will not be a number in the sequence. Explain why she is correct. 1 mark The tens digit will always stay as an odd digit and since in the number 10 020 it is even this number cannot be in the sequence.

19. These are the prices at a local take-away. Total cost = £2.95 + ( 2 x £1.10 ) + £0.99 = £6.14 2 marks Fish……………………£2.95 Chips…………………..£1.10 Sausage………………..£0.99 Veronica has £5 She wants to buy one fish, two chips and a sausage. How much more money does she need? Show your method. You may get a mark. £1.14 Money still needed = £6.14 - £5

20. The temperature inside a car is 18ºC. The temperature outside is -3ºC. 21 What is the difference between these temperatures? degrees 2 1 mark The outside temperature rises by 5ºC. What is the new outside temperature? ºC 1 mark +3 +18 -3°C 0°C 18°C +5 -3°C 0°C 2°C

21. There are 28 coloured cubes in a box. A quarter of the cubes are blue, fifteen are red and the rest are green. 2 marks How many green cubes are there in the box? Number of blue cubes = 7 Show your method. You may get a mark. 6 1 mark One red cube is removed from the box. What fraction of the cubes in the box are red now? 14 27 Number of green cubes = 28 – (7 + 15) =

22. Use a calculator to work out 67.45 ÷ (4.2 – 2.3) 35.5 1 mark 2.88 Use a calculator to work out 0.2 x (0.6 + 13.8) 1 mark 75 Use a calculator to work out 30 x (20.75 ÷ 8.3) 1 mark

23. The distance from A to B is 4 times as far as from B to C A B C 100cm Not drawn to scale The distance from A to B is 100 centimetres. 125 The distance from B to C ( which is a quarter that from A to B) = 25cm The distance from A to C = 100 + 25 cm = 125cm 2 marks Calculate the distance from A to B. Show your method. You may get a mark. cm

24. Write what the three missing digits could be in this calculation. x = 2 1 6 1 mark 3 6 6 Write what the two missing digits could be in this calculation. 7 x = 6 0 0 1 mark 5 8

25. s, t and h each stand for a whole number. 2 marks They add together to make 2400 s + t + h = 2400 s is twice as big as t h is three times as big as t Calculate the numbers s, t and h. s = t = h = Show your method. You may get a mark. s = 2 x t and h = 3 x t so s + t + h = (t + t) + t + (t + t + t) = 6 x t = 2400 and t = 400 s = 2 x t = 2 x 400 and h = 3 x t = 3 x 400 8004001200

26. Here is a diagram for sorting numbers. 2 marks Place one number in each white section of the diagram less than 800 more than 800 multiples of 25 not multiples of 25 9080 765 625 1075 765 1075 9080 625

27. Write in the missing numbers. 54 27 13.5 1 mark 216 108 In this sequence each number is half the previous number. 0.075 0.15 Write in the missing numbers. 1 mark In this sequence each number is double the previous number. 0.3 0.6 6.75 1.2

28. Circle the closest number to 800 1 mark 850 901 890 751 Circle the closest number to 1107 1 mark 1011 1106 108 1102 15 000 Round 14 501 to the nearest thousand. 1 mark 50 101 90 49 4 1 999 5

29. 9 x 2 x = 162 Write in the missing numbers. 9 1 mark + 43 - 39 = 209 205 313 + = 89 x 12 755 Write in the missing numbers.

30. Betty says, “The number 801 is not a prime number.” Is she correct? Circle Yes or No. Explain how you know. 1 mark Yes / No ………………………………………… ………………………………………… Prime numbers have exactly two factors. Since 1, 9 and 801 are factors of 801 it therefore has at least three factors and so cannot be a prime number.

31. 1 mark Use the same five digit cards to make this correct. + = 4 1 mark 8 5 7 1 6 Here are five digit cards. Use all five digit cards to make this correct. 2 x = 7 8 1 5 6 1 8 5 6 7

32. Cinema tickets cost £2.85 each. Sally buys 5 tickets. £14.25 1 mark How much does Sally pay? £4.94 fizzy drink popcorn £1.24 £1.85 Saif buys a fizzy drink and two boxes of popcorn. 1 mark How much does he spend in total? £1.24 + 2 x £1.85

33. Sandra rounds each of them to the nearest £10 and then adds them up. Here are the ends of three supermarket bills. £170 1 mark Total £63.51 Total £73.89 Total £37.71 What is the total amount that Sandra works out? £5.11 Exact total amount = £63.51 + £73.89 + £37.71 = £175.11 Difference = £175.11 - £170 = 2 marks What is the difference between her total and the exact amount? Show your method. You may get a mark. £60 £70 £40

34. Total number of crates = 5 + 7 + 9 = 21 In a supermarket storeroom there are 4032 2 marks 5 crates of peas 7 crates of soup 9 crates of beans There are 192 tins in every crate. How many tins are there altogether? Show your method. You may get a mark. Total number of tins = 21 x 192 = 4032

35. x Use the digits 3, 5 and 6 once to make the multiplication which has the greatest product. 5 3 6 1 mark 5 6 3 x Use the same three digits to make the lowest product. 35 x 6 = 210 36 x 5 = 180 53 x 6 = 318 56 x 3 = 168 63 x 5 = 315 65 x 3 = 195

36. ÷ 9.65 = 19.2 Write in the missing numbers. 185.28 1 mark 200 – (45.83 + 53.93 ) =100.24 200.63 - = 182.9 17.73

37. A = B = Here are five number cards. 1 mark A A A B B A and B stand for two different whole numbers below ten. The sum of all the numbers on all five cards is 39 What could be the values of A and B? 9 6 What other answers are possible?

38. 60 + < 86 Write the largest whole numbers in the spaces 25 1 mark which keep these statements true. 167 - > 101 65 16 x < 304 18

39. A sequence starts at 13 and follows the rule ‘double the last number and then subtract 4’ 13 22 40 76 148… The sequence continues. The number 9220 is in the sequence. Calculate the number which comes immediately before 9220 in the sequence Show your method. You may get a mark. 9220 + 4 = 9224 4612 2 marks 9224 ÷ 2 = 4612

40. Two thermometers show the temperature inside and outside a greenhouse on a day in January. Inside11ºC Outside2 ºC How many degrees warmer was it inside the greenhouse than outside? 9ºC 1 mark Later the temperatures were Inside-1ºC Outside-8 ºC What is the difference between these two temperatures? 1 mark 7ºC +7 -8°C -1°C

41. 320 000 people visited a theme park in one year. 144 000 2 marks 20% of the people visited in July. 35% of the people visited in August. How many people visited the park in the rest of the year? Show your method. You may get a mark. Rest of year = 45% July + August = 20% + 35% = 55% 45% of 320 000 = 144 000

42. BLANK PAGE End of test