15th May homework © Pass the QTS Skills Tests Fill in each box with a tick or a cross determining if the number to the left is divisible by each number. 2 3 4 5 6 7 8 9 10 11 12 158 273 650 609 138 944 500 781 725 583 Fill in the missing answers in the table below. fractions decimals percentages 87.5% 0.2 25% 1/8 40% 3/8 0.625 60% 1/3 0.8 90% 7/10 0.05 Use quick methods (doubling methods and x11 trick) to calculate these answers 43 x 11 36 x 11 54 x 11 34 x 11 71 x 11 24 x 11 17 x 11 421 x 4 Page 1 15th May homework © Pass the QTS Skills Tests 357 x 4 737 x 4 683 x 4 421 x 8 357 x 8 737 x 8 683 x 8 421 x 16 357 x 16 737 x 16 683 x 16 42 x 5 29 x 5 69 x 5 37 x 5 37 x 25 29 x 25 63 x 25 74 x 25 24 x 7 43 x 8 52 x 6 43 x 8 2.1 x 9 3.7 x 6 4.7 x 9 3.12 x 8 2.75 x 27 3.27 x 32 Convert these percentages to decimals 1. 36% 2. 24% 3. 3% 4. 40% 5. 65% 6. 68% 7. 172% 8. 49% 9. 208% 10. 72% 11. 9% 12. 38% Converting fractions to percentages (reminder, multiply top and bottom by same amount to have 100 on the bottom of the fraction) 1. 15/20 2. 7/10 Page 2 15th May homework 3. 4. 5. 6. 7. 8. 9. 10. 11. 12. 13. 14. 15. 16. 17. 18. © Pass the QTS Skills Tests 2/5 7/25 17/25 1/5 19/50 9/10 6/50 19/20 13/20 3/10 4/5 18/25 16/25 4/20 27/50 1/10 • How many fifty-pence pieces in two pounds and fifty pence? • How many twenty-pence pieces in four pounds? • How many twenty-pence pieces in two pound sixty? • How many five-pence pieces in three pounds? • How many five-pence pieces in one pound twenty pence? • How many ten-pence pieces in five pounds forty? • How many ten-pence pieces in seven pounds seventy? • How many two-pence pieces in two pounds? • How many two-pence pieces in fifty pence? Page 3 15th May homework © Pass the QTS Skills Tests • How many two-pence pieces in one pound eighty? Doubling and Halving • Double seventy-five. • Halve seventy-nine. • Double fifty-nine. • Halve ninety-two. • Double sixty-eight. • Halve seventy-four. • Double ninety-five. • Halve seventy-five. • Double ninety-nine. • Halve ninety-nine. 65 x 1.5 48 x 2.25 54 x 3.75 144 x 0.75 184 x 0.8 324 x 0.1 Convert the following fractions to percentages (remember to simplify first) 1. 19/24 2. 23/24 3. 36/48 4. 9/36 5. 36/96 6. 21/84 7. 27/72 8. 36/120 9. 35/56 10. 42/126 Page 4 15th May homework © Pass the QTS Skills Tests Convert the following fractions to decimals (remember to simplify first) 1. 35/60 2. 5/35 3. 24/40 Page 5 15th May homework 4. 5. 6. 7. 8. 9. 10. © Pass the QTS Skills Tests 27/72 28/70 36/108 18/60 42/60 63/144 82/164 Don’t forget to write what you are compensating each one by to calculate answers quickly for harder questions Start time Time in Time 50 Time in 25 Time Time in Time 1hour 15 2hrs 3hrs 55mins mins ago mins mins ago 35mins mins Quick method E.g. +1hr – 5mins in Time 2hrs 50 55 mins ago 07:34 01:43 17:07 17:47 03:09 07:36 07:43 17:54 01:57 17:15 03:47 03:27 10:07 17:46 Write the answers to these: 50% of 140 = 25% of 140 = 75% of 140 = Page 6 15th May homework © Pass the QTS Skills Tests 50% of 230 = 25% of 230 = 75% of 230 = 50% of 225 = 25% of 225 = 75% of 225 = 50% of 320 = 25% of 320 = 75% of 320 = 50% of 276 = 25% of 276 = 75% of 276 = 50% of 328 = 25% of 328 = 75% of 328 = 50% of 429 = 25% of 429 = 75% of 429 = 10% of 140 = 5% of 140 = 85% of 140 = 10% of 230 = 5% of 230 = 85% of 230 = 10% of 25 = 5% of 25 = 85% of 25 = 10% of 320 = 5% of 320 = 85% of 320 = 10% of 276 = 5% of 276 = 85% of 276 = 10% of 328 = 5% of 328 = 85% of 328 = 10% of 429 = 5% of 429 = 85% of 429 = Page 7 15th May homework © Pass the QTS Skills Tests 1. find 1/5 of 35 2 . find ¼ of 80 = 4. find 1/5 of 75 5. find 1/5 of 80 7. find 1/3 of 42 8. find 1/3 of 120 10. find 1/10 of 70 11. find 1/10 of 110 11. find 1/5 of 95 12. find ¼ of 124 = 3. 6. find ¼ of 48 find 1/5 of 65 9. find 1/3 of 63 12 find 1/10 of 210 13. find ¼ of 36 14. find 1/5 of 135 15. find 1/5 of 245 16. find 1/5 of 300 17. find 1/3 of 102 18. find 1/3 of 213 19. find 1/3 of 207 20. find 1/10 of 420 21. find 1/10 of 530 22 21. find 2/10 of 320 22. find ¾ of 96 23. find 1/10 of 920 find 3/5 of 165 24. find 3/5 of 265 25. find 3/5 of 135 26. 27. find 2/3 of 108 28. find 2/3 of 363 29. 30. find 4/10 of 240 31. find 7/10 of 250 33. find 3/10 of 290 34. find ¾ of 144 32 35. find 4/5 of 840 find 2/3 of 237 find 6/10 of 920 find 3/5 of 385 Page 8