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Estimating Square Roots and Division Worksheet

Mental maths lesson 27: Estimate divisions and square roots · Set 497 · 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.√98 to 1 decimal place? (a) 10.1 (b) 10.0 (c) 9.9 (d) 10.2
  2. 2.Best estimate of 2704 ÷ 54? (a) 5400 (b) 54 (c) 540
  3. 3.Best estimate of 4590 ÷ 77? (a) 57 (b) 5700 (c) 570
  4. 4.Best estimate of 2770 ÷ 59? (a) 460 (b) 4600 (c) 46
  5. 5.√76 to 1 decimal place? (a) 8.7 (b) 8.6 (c) 8.5 (d) 8.4
  6. 6.Best estimate of 3551 ÷ 41? (a) 89 (b) 8900 (c) 890
  7. 7.Best estimate of 4947 ÷ 56? (a) 820 (b) 8200 (c) 82
  8. 8.Best estimate of 2658 ÷ 28? (a) 8900 (b) 89 (c) 890
  9. 9.√55 to 1 decimal place? (a) 7.3 (b) 7.4 (c) 7.6 (d) 7.5
  10. 10.√96 to 1 decimal place? (a) 9.7 (b) 10.0 (c) 9.9 (d) 9.8
  11. 11.√89 to 1 decimal place? (a) 9.3 (b) 9.4 (c) 9.2 (d) 9.5
  12. 12.Best estimate of 4466 ÷ 56? (a) 74 (b) 740 (c) 7400
  13. 13.√87 to 1 decimal place? (a) 9.5 (b) 9.3 (c) 9.4 (d) 9.6
  14. 14.Best estimate of 2834 ÷ 46? (a) 570 (b) 5700 (c) 57
  15. 15.Best estimate of 1250 ÷ 38? (a) 31 (b) 3100 (c) 310
  16. 16.Best estimate of 4547 ÷ 63? (a) 76 (b) 7600 (c) 760
  17. 17.Best estimate of 4877 ÷ 68? (a) 7000 (b) 700 (c) 70
  18. 18.Best estimate of 1121 ÷ 22? (a) 560 (b) 5600 (c) 56
  19. 19.Best estimate of 7045 ÷ 83? (a) 8800 (b) 880 (c) 88
  20. 20.Best estimate of 6731 ÷ 86? (a) 75 (b) 7500 (c) 750
  21. 21.√71 to 1 decimal place? (a) 8.5 (b) 8.4 (c) 8.6 (d) 8.7
  22. 22.Best estimate of 2483 ÷ 42? (a) 6200 (b) 62 (c) 620
  23. 23.Best estimate of 2068 ÷ 28? (a) 690 (b) 6900 (c) 69
  24. 24.Best estimate of 3313 ÷ 36? (a) 830 (b) 83 (c) 8300
  25. 25.Best estimate of 2417 ÷ 82? (a) 300 (b) 3000 (c) 30
  26. 26.Best estimate of 921 ÷ 31? (a) 3100 (b) 31 (c) 310
  27. 27.Best estimate of 1040 ÷ 63? (a) 170 (b) 1700 (c) 17
  28. 28.√26 to 1 decimal place? (a) 4.8 (b) 5.1 (c) 5.0 (d) 4.9
  29. 29.Best estimate of 2323 ÷ 36? (a) 5800 (b) 580 (c) 58
  30. 30.√42 to 1 decimal place? (a) 6.7 (b) 6.5 (c) 6.6 (d) 6.8
  31. 31.Best estimate of 1193 ÷ 56? (a) 2000 (b) 20 (c) 200
  32. 32.√44 to 1 decimal place? (a) 6.6 (b) 6.7 (c) 6.8 (d) 6.5
  33. 33.Best estimate of 2660 ÷ 37? (a) 6700 (b) 670 (c) 67
  34. 34.Best estimate of 5781 ÷ 73? (a) 8300 (b) 83 (c) 830
  35. 35.Best estimate of 7316 ÷ 77? (a) 91 (b) 910 (c) 9100
  36. 36.√94 to 1 decimal place? (a) 9.6 (b) 9.5 (c) 9.7 (d) 9.8
  37. 37.Best estimate of 5832 ÷ 72? (a) 830 (b) 83 (c) 8300
  38. 38.√67 to 1 decimal place? (a) 8.1 (b) 8.2 (c) 8.0 (d) 7.9
  39. 39.√41 to 1 decimal place? (a) 6.3 (b) 6.2 (c) 6.5 (d) 6.4
  40. 40.Best estimate of 1173 ÷ 32? (a) 390 (b) 3900 (c) 39

Answer key

  1. 9.9
  2. 54
  3. 57
  4. 46
  5. 8.7
  6. 89
  7. 82
  8. 89
  9. 7.4
  10. 9.8
  11. 9.4
  12. 74
  13. 9.3
  14. 57
  15. 31
  16. 76
  17. 70
  18. 56
  19. 88
  20. 75
  21. 8.4
  22. 62
  23. 69
  24. 83
  25. 30
  26. 31
  27. 17
  28. 5.1
  29. 58
  30. 6.5
  31. 20
  32. 6.6
  33. 67
  34. 83
  35. 91
  36. 9.7
  37. 83
  38. 8.2
  39. 6.4
  40. 39

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