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Estimating Square Roots and Division Worksheet

Mental maths lesson 27: Estimate divisions and square roots · Set 948 · 40 questions
TalentJR

How to do it in your head (Guess, divide, average): Division: round the divisor to the nearest ten and find the closest multiple of it. Square root: guess the nearest whole root, then divide the number by your guess. Average the guess and the answer of the division, and round to 1 decimal place.

NameDateTime takenScore ___ / 40
  1. 1.√23 to 1 decimal place? (a) 5.1 (b) 4.9 (c) 4.8 (d) 5.0
  2. 2.√31 to 1 decimal place? (a) 5.6 (b) 5.5 (c) 5.4 (d) 5.7
  3. 3.√50 to 1 decimal place? (a) 7.2 (b) 7.4 (c) 7.3 (d) 7.1
  4. 4.√82 to 1 decimal place? (a) 9.4 (b) 9.2 (c) 9.3 (d) 9.1
  5. 5.Best estimate of 2384 ÷ 57? (a) 400 (b) 40 (c) 4000
  6. 6.Best estimate of 1751 ÷ 54? (a) 350 (b) 35 (c) 3500
  7. 7.Best estimate of 3000 ÷ 86? (a) 330 (b) 33 (c) 3300
  8. 8.Best estimate of 4909 ÷ 79? (a) 610 (b) 61 (c) 6100
  9. 9.Best estimate of 7468 ÷ 79? (a) 93 (b) 9300 (c) 930
  10. 10.Best estimate of 6294 ÷ 86? (a) 70 (b) 700 (c) 7000
  11. 11.√38 to 1 decimal place? (a) 6.1 (b) 6.0 (c) 6.2 (d) 5.9
  12. 12.Best estimate of 2252 ÷ 36? (a) 56 (b) 5600 (c) 560
  13. 13.Best estimate of 940 ÷ 34? (a) 3100 (b) 31 (c) 310
  14. 14.√37 to 1 decimal place? (a) 6.2 (b) 6.0 (c) 6.1 (d) 5.9
  15. 15.Best estimate of 1042 ÷ 83? (a) 130 (b) 1300 (c) 13
  16. 16.√41 to 1 decimal place? (a) 6.2 (b) 6.4 (c) 6.3 (d) 6.5
  17. 17.Best estimate of 4268 ÷ 76? (a) 53 (b) 530 (c) 5300
  18. 18.Best estimate of 1844 ÷ 56? (a) 3100 (b) 31 (c) 310
  19. 19.√84 to 1 decimal place? (a) 9.3 (b) 9.2 (c) 9.5 (d) 9.4
  20. 20.Best estimate of 5150 ÷ 76? (a) 6400 (b) 64 (c) 640
  21. 21.Best estimate of 7132 ÷ 84? (a) 89 (b) 890 (c) 8900
  22. 22.Best estimate of 6066 ÷ 76? (a) 76 (b) 760 (c) 7600
  23. 23.Best estimate of 3260 ÷ 73? (a) 4700 (b) 470 (c) 47
  24. 24.√35 to 1 decimal place? (a) 5.9 (b) 6.0 (c) 5.8 (d) 6.1
  25. 25.Best estimate of 461 ÷ 27? (a) 1500 (b) 15 (c) 150
  26. 26.√26 to 1 decimal place? (a) 5.1 (b) 5.0 (c) 5.3 (d) 5.2
  27. 27.√89 to 1 decimal place? (a) 9.6 (b) 9.5 (c) 9.4 (d) 9.3
  28. 28.Best estimate of 6450 ÷ 88? (a) 72 (b) 720 (c) 7200
  29. 29.Best estimate of 626 ÷ 42? (a) 160 (b) 1600 (c) 16
  30. 30.Best estimate of 2671 ÷ 32? (a) 89 (b) 890 (c) 8900
  31. 31.√55 to 1 decimal place? (a) 7.7 (b) 7.6 (c) 7.4 (d) 7.5
  32. 32.√83 to 1 decimal place? (a) 9.2 (b) 9.0 (c) 9.3 (d) 9.1
  33. 33.Best estimate of 2396 ÷ 52? (a) 480 (b) 48 (c) 4800
  34. 34.Best estimate of 1430 ÷ 42? (a) 360 (b) 3600 (c) 36
  35. 35.Best estimate of 973 ÷ 51? (a) 1900 (b) 19 (c) 190
  36. 36.Best estimate of 5050 ÷ 71? (a) 72 (b) 720 (c) 7200
  37. 37.Best estimate of 3080 ÷ 76? (a) 39 (b) 390 (c) 3900
  38. 38.Best estimate of 7291 ÷ 77? (a) 9100 (b) 910 (c) 91
  39. 39.√94 to 1 decimal place? (a) 9.7 (b) 9.9 (c) 9.8 (d) 9.6
  40. 40.Best estimate of 6956 ÷ 88? (a) 770 (b) 7700 (c) 77

Answer key

  1. 4.8
  2. 5.6
  3. 7.1
  4. 9.1
  5. 40
  6. 35
  7. 33
  8. 61
  9. 93
  10. 70
  11. 6.2
  12. 56
  13. 31
  14. 6.1
  15. 13
  16. 6.4
  17. 53
  18. 31
  19. 9.2
  20. 64
  21. 89
  22. 76
  23. 47
  24. 5.9
  25. 15
  26. 5.1
  27. 9.4
  28. 72
  29. 16
  30. 89
  31. 7.4
  32. 9.1
  33. 48
  34. 36
  35. 19
  36. 72
  37. 39
  38. 91
  39. 9.7
  40. 77

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