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Estimating Square Roots and Division Worksheet

Mental maths lesson 27: Estimate divisions and square roots · Set 400 · 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.Best estimate of 3448 ÷ 69? (a) 490 (b) 4900 (c) 49
  2. 2.Best estimate of 2310 ÷ 33? (a) 770 (b) 7700 (c) 77
  3. 3.Best estimate of 899 ÷ 22? (a) 4500 (b) 450 (c) 45
  4. 4.Best estimate of 2876 ÷ 33? (a) 960 (b) 9600 (c) 96
  5. 5.√34 to 1 decimal place? (a) 5.6 (b) 5.8 (c) 5.7 (d) 5.5
  6. 6.√88 to 1 decimal place? (a) 9.4 (b) 9.3 (c) 9.5 (d) 9.2
  7. 7.Best estimate of 6875 ÷ 77? (a) 86 (b) 8600 (c) 860
  8. 8.Best estimate of 5775 ÷ 68? (a) 8300 (b) 830 (c) 83
  9. 9.√86 to 1 decimal place? (a) 9.3 (b) 9.1 (c) 9.2 (d) 9.0
  10. 10.√52 to 1 decimal place? (a) 7.3 (b) 7.2 (c) 7.4 (d) 7.1
  11. 11.Best estimate of 4259 ÷ 82? (a) 530 (b) 53 (c) 5300
  12. 12.√78 to 1 decimal place? (a) 8.7 (b) 8.8 (c) 8.6 (d) 8.9
  13. 13.Best estimate of 3008 ÷ 44? (a) 7500 (b) 75 (c) 750
  14. 14.Best estimate of 7106 ÷ 77? (a) 8900 (b) 890 (c) 89
  15. 15.√85 to 1 decimal place? (a) 9.5 (b) 9.3 (c) 9.2 (d) 9.4
  16. 16.Best estimate of 1359 ÷ 33? (a) 45 (b) 450 (c) 4500
  17. 17.Best estimate of 5264 ÷ 83? (a) 660 (b) 66 (c) 6600
  18. 18.√37 to 1 decimal place? (a) 6.2 (b) 6.3 (c) 6.1 (d) 6.4
  19. 19.√32 to 1 decimal place? (a) 5.9 (b) 5.8 (c) 6.0 (d) 5.7
  20. 20.Best estimate of 2242 ÷ 74? (a) 320 (b) 3200 (c) 32
  21. 21.Best estimate of 1560 ÷ 79? (a) 200 (b) 2000 (c) 20
  22. 22.Best estimate of 2544 ÷ 72? (a) 36 (b) 360 (c) 3600
  23. 23.Best estimate of 4755 ÷ 51? (a) 9500 (b) 950 (c) 95
  24. 24.Best estimate of 845 ÷ 58? (a) 140 (b) 1400 (c) 14
  25. 25.√94 to 1 decimal place? (a) 9.6 (b) 9.7 (c) 9.5 (d) 9.8
  26. 26.√38 to 1 decimal place? (a) 5.9 (b) 6.0 (c) 6.2 (d) 6.1
  27. 27.Best estimate of 3455 ÷ 73? (a) 490 (b) 4900 (c) 49
  28. 28.Best estimate of 1585 ÷ 29? (a) 53 (b) 5300 (c) 530
  29. 29.√24 to 1 decimal place? (a) 4.9 (b) 4.8 (c) 4.7 (d) 5.0
  30. 30.Best estimate of 2592 ÷ 29? (a) 8600 (b) 86 (c) 860
  31. 31.√92 to 1 decimal place? (a) 9.7 (b) 9.6 (c) 9.5 (d) 9.8
  32. 32.Best estimate of 7265 ÷ 83? (a) 91 (b) 9100 (c) 910
  33. 33.√75 to 1 decimal place? (a) 8.8 (b) 8.6 (c) 8.7 (d) 8.9
  34. 34.Best estimate of 3199 ÷ 57? (a) 53 (b) 5300 (c) 530
  35. 35.√63 to 1 decimal place? (a) 7.9 (b) 7.8 (c) 8.1 (d) 8.0
  36. 36.√70 to 1 decimal place? (a) 8.2 (b) 8.4 (c) 8.3 (d) 8.5
  37. 37.Best estimate of 5687 ÷ 62? (a) 95 (b) 9500 (c) 950
  38. 38.Best estimate of 5597 ÷ 84? (a) 70 (b) 7000 (c) 700
  39. 39.Best estimate of 4533 ÷ 59? (a) 76 (b) 7600 (c) 760
  40. 40.Best estimate of 2890 ÷ 48? (a) 58 (b) 580 (c) 5800

Answer key

  1. 49
  2. 77
  3. 45
  4. 96
  5. 5.8
  6. 9.4
  7. 86
  8. 83
  9. 9.3
  10. 7.2
  11. 53
  12. 8.8
  13. 75
  14. 89
  15. 9.2
  16. 45
  17. 66
  18. 6.1
  19. 5.7
  20. 32
  21. 20
  22. 36
  23. 95
  24. 14
  25. 9.7
  26. 6.2
  27. 49
  28. 53
  29. 4.9
  30. 86
  31. 9.6
  32. 91
  33. 8.7
  34. 53
  35. 7.9
  36. 8.4
  37. 95
  38. 70
  39. 76
  40. 58

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