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MATHEMATICS

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

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MATHEMATICS

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

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

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

  4. Tony and Neil buy 3 boxes of hats between them. Tony pays £16.25 How much must Neil pay? Show your method. You may get a mark. 2 marks 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 Neil pays £34.20 - £16.25 = £17.95

  5. Jude thinks of a number. She says, “Double my number and then add 18. The answer is 72." What is Jude’s number? 1 mark Lisa thinks of a number. She says, “Add 5 to my number and then multiply the result by 9. The answer is 81." 4 What is Lisa’s number? 1 mark 81 ÷ 9 = 9 9 – 5 = 4 27 72 - 18 = 54 54 ÷ 2 = 27

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

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

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

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

  10. 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 Use a calculator to work out 82.3 x (3.1 + 7.45) 868.265 1 mark 80.9 83.89

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

  12. Write in what the missing numbers might be. 240 x = 350 + 1 mark Write in what the missing numbers might be. 240 + = 350 - 60 50 1 mark These must add up to 110. Place a simple number in the first space, like 60 2 130 Choose a simple number here, like 2

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

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

  15. Nebuchadnezzar makes a fraction using two number cards. He says, ‘My fraction is equivalent to ¼ One of the number cards is 8’ ? ? What could Nebuchadnezzar’s fraction be? Give both possible answers. 8 2 or 32 8 2 marks

  16. Here are five digit cards. 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 1 mark

  17. Mandy is going to eat 50pieces of fudge for charity. How many boxes must Mandy buy so that she has at least 50 pieces of fudge? 1 mark There are 6 pieces of fudge in a box. A shop has 16 boxes on its shelves. How many pieces of fudge are there altogether? 96 1 mark 50 ÷ 6 = 8 remainder 2 9

  18. Michelle says that 10 020 will not be a number in the sequence. Explain why she is correct. ……………………………………………………………………………………………………………………………………………………… 1 mark Michelle makes a sequence of numbers. Her rule is “double the last number and subtract 10” Write in the next two numbers in her sequence. 170 330 30 50 90 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. 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? Total cost = £2.95 + ( 2 x £1.10 ) + £0.99 = £6.14 Show your method. You may get a mark. Money still needed = £6.14 - £5 £1.14 2 marks

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

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

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

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

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

  25. s, t and h each stand for a whole number. 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 = 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 Show your method. You may get a mark. s = 2 x t = 2 x 400 and h = 3 x t = 3 x 400 800 400 1200 s =t =h = 2 marks

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

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

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

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

  30. Betty says, “The number 801 is not a prime number.” Is she correct? Circle Yes or No. Explain how you know. 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. ………………………………………………………………………………………………………………………………………………………………………… 1 mark

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

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

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

  34. In a supermarket storeroom there are 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? Total number of crates = 5 + 7 + 9 = 21 Total number of tins = 21 x 192 = 4032 Show your method. You may get a mark. 4032 2 marks

  35. Use the digits 3, 5 and 6 once to make the multiplication which has the greatest product. 5 3 6 x 1 mark 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 5 6 3 x 1 mark

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

  37. Here are five number cards. 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 A = B = 1 mark What other answers are possible?

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

  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 9220 + 4 = 9224 Show your method. You may get a mark. 9224 ÷ 2 = 4612 4612 2 marks

  40. Later the temperatures were +7 Inside -1ºC Outside -8 ºC -8°C -1°C What is the difference between these two temperatures? 1 mark Two thermometers show the temperature inside and outside a greenhouse on a day in January. Inside 11ºC Outside 2 ºC How many degrees warmer was it inside the greenhouse than outside? 9ºC 1 mark 7ºC

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

  42. BLANK PAGE End of test

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