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Estimating Square Roots and Division Worksheet

Mental maths lesson 27: Estimate divisions and square roots · Set 944 · 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.√90 to 1 decimal place? (a) 9.5 (b) 9.7 (c) 9.4 (d) 9.6
  2. 2.Best estimate of 2018 ÷ 61? (a) 340 (b) 34 (c) 3400
  3. 3.√66 to 1 decimal place? (a) 8.3 (b) 8.1 (c) 8.0 (d) 8.2
  4. 4.√55 to 1 decimal place? (a) 7.3 (b) 7.2 (c) 7.4 (d) 7.1
  5. 5.Best estimate of 689 ÷ 36? (a) 17 (b) 170 (c) 1700
  6. 6.Best estimate of 3598 ÷ 56? (a) 600 (b) 6000 (c) 60
  7. 7.√62 to 1 decimal place? (a) 8.1 (b) 8.0 (c) 7.8 (d) 7.9
  8. 8.Best estimate of 1365 ÷ 29? (a) 4600 (b) 460 (c) 46
  9. 9.Best estimate of 1624 ÷ 52? (a) 32 (b) 320 (c) 3200
  10. 10.Best estimate of 6636 ÷ 76? (a) 8300 (b) 83 (c) 830
  11. 11.Best estimate of 1312 ÷ 88? (a) 1500 (b) 15 (c) 150
  12. 12.Best estimate of 3970 ÷ 64? (a) 660 (b) 6600 (c) 66
  13. 13.Best estimate of 1689 ÷ 46? (a) 3400 (b) 34 (c) 340
  14. 14.Best estimate of 4456 ÷ 66? (a) 640 (b) 6400 (c) 64
  15. 15.Best estimate of 5242 ÷ 63? (a) 87 (b) 870 (c) 8700
  16. 16.Best estimate of 3443 ÷ 84? (a) 430 (b) 43 (c) 4300
  17. 17.√88 to 1 decimal place? (a) 9.4 (b) 9.6 (c) 9.5 (d) 9.3
  18. 18.Best estimate of 821 ÷ 56? (a) 1400 (b) 14 (c) 140
  19. 19.Best estimate of 1124 ÷ 37? (a) 280 (b) 28 (c) 2800
  20. 20.Best estimate of 2425 ÷ 26? (a) 810 (b) 8100 (c) 81
  21. 21.√74 to 1 decimal place? (a) 8.7 (b) 8.5 (c) 8.8 (d) 8.6
  22. 22.Best estimate of 1678 ÷ 74? (a) 2400 (b) 240 (c) 24
  23. 23.Best estimate of 1240 ÷ 56? (a) 2100 (b) 21 (c) 210
  24. 24.Best estimate of 776 ÷ 56? (a) 130 (b) 1300 (c) 13
  25. 25.Best estimate of 4847 ÷ 84? (a) 61 (b) 6100 (c) 610
  26. 26.Best estimate of 2759 ÷ 56? (a) 460 (b) 4600 (c) 46
  27. 27.√40 to 1 decimal place? (a) 6.3 (b) 6.0 (c) 6.2 (d) 6.1
  28. 28.Best estimate of 2376 ÷ 29? (a) 790 (b) 7900 (c) 79
  29. 29.Best estimate of 5264 ÷ 62? (a) 880 (b) 8800 (c) 88
  30. 30.Best estimate of 2101 ÷ 26? (a) 7000 (b) 700 (c) 70
  31. 31.Best estimate of 2474 ÷ 38? (a) 62 (b) 6200 (c) 620
  32. 32.√86 to 1 decimal place? (a) 9.5 (b) 9.2 (c) 9.3 (d) 9.4
  33. 33.Best estimate of 597 ÷ 24? (a) 300 (b) 3000 (c) 30
  34. 34.Best estimate of 1317 ÷ 48? (a) 260 (b) 2600 (c) 26
  35. 35.Best estimate of 3163 ÷ 51? (a) 630 (b) 6300 (c) 63
  36. 36.√82 to 1 decimal place? (a) 9.1 (b) 8.9 (c) 9.2 (d) 9.0
  37. 37.√63 to 1 decimal place? (a) 8.0 (b) 8.2 (c) 8.1 (d) 7.9
  38. 38.Best estimate of 3246 ÷ 53? (a) 6500 (b) 65 (c) 650
  39. 39.Best estimate of 1698 ÷ 64? (a) 2800 (b) 28 (c) 280
  40. 40.Best estimate of 5400 ÷ 86? (a) 6000 (b) 600 (c) 60

Answer key

  1. 9.5
  2. 34
  3. 8.1
  4. 7.4
  5. 17
  6. 60
  7. 7.9
  8. 46
  9. 32
  10. 83
  11. 15
  12. 66
  13. 34
  14. 64
  15. 87
  16. 43
  17. 9.4
  18. 14
  19. 28
  20. 81
  21. 8.6
  22. 24
  23. 21
  24. 13
  25. 61
  26. 46
  27. 6.3
  28. 79
  29. 88
  30. 70
  31. 62
  32. 9.3
  33. 30
  34. 26
  35. 63
  36. 9.1
  37. 7.9
  38. 65
  39. 28
  40. 60

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