← Estimate divisions and square roots lesson New set →

Estimating Square Roots and Division Worksheet

Mental maths lesson 27: Estimate divisions and square roots · Set 665 · 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 3352 ÷ 86? (a) 37 (b) 3700 (c) 370
  2. 2.Best estimate of 632 ÷ 42? (a) 1600 (b) 16 (c) 160
  3. 3.Best estimate of 7647 ÷ 84? (a) 9600 (b) 960 (c) 96
  4. 4.√55 to 1 decimal place? (a) 7.6 (b) 7.7 (c) 7.4 (d) 7.5
  5. 5.Best estimate of 3205 ÷ 36? (a) 80 (b) 800 (c) 8000
  6. 6.Best estimate of 2786 ÷ 58? (a) 460 (b) 46 (c) 4600
  7. 7.Best estimate of 5984 ÷ 79? (a) 750 (b) 7500 (c) 75
  8. 8.√44 to 1 decimal place? (a) 6.4 (b) 6.6 (c) 6.5 (d) 6.3
  9. 9.Best estimate of 2084 ÷ 79? (a) 2600 (b) 26 (c) 260
  10. 10.Best estimate of 736 ÷ 56? (a) 1200 (b) 120 (c) 12
  11. 11.√24 to 1 decimal place? (a) 4.8 (b) 5.0 (c) 4.9 (d) 5.1
  12. 12.Best estimate of 956 ÷ 26? (a) 32 (b) 3200 (c) 320
  13. 13.Best estimate of 2279 ÷ 81? (a) 28 (b) 2800 (c) 280
  14. 14.Best estimate of 2000 ÷ 86? (a) 220 (b) 2200 (c) 22
  15. 15.Best estimate of 4547 ÷ 61? (a) 760 (b) 76 (c) 7600
  16. 16.Best estimate of 2237 ÷ 56? (a) 3700 (b) 37 (c) 370
  17. 17.Best estimate of 6870 ÷ 86? (a) 76 (b) 760 (c) 7600
  18. 18.Best estimate of 1353 ÷ 86? (a) 1500 (b) 15 (c) 150
  19. 19.√40 to 1 decimal place? (a) 6.4 (b) 6.5 (c) 6.3 (d) 6.2
  20. 20.√41 to 1 decimal place? (a) 6.5 (b) 6.6 (c) 6.3 (d) 6.4
  21. 21.√37 to 1 decimal place? (a) 5.9 (b) 6.0 (c) 6.1 (d) 5.8
  22. 22.Best estimate of 5300 ÷ 61? (a) 8800 (b) 88 (c) 880
  23. 23.Best estimate of 6111 ÷ 79? (a) 760 (b) 76 (c) 7600
  24. 24.√96 to 1 decimal place? (a) 9.8 (b) 9.9 (c) 9.6 (d) 9.7
  25. 25.√62 to 1 decimal place? (a) 8.1 (b) 8.2 (c) 8.0 (d) 7.9
  26. 26.Best estimate of 2242 ÷ 72? (a) 320 (b) 32 (c) 3200
  27. 27.Best estimate of 3333 ÷ 68? (a) 480 (b) 48 (c) 4800
  28. 28.Best estimate of 1070 ÷ 36? (a) 27 (b) 2700 (c) 270
  29. 29.Best estimate of 2019 ÷ 87? (a) 22 (b) 2200 (c) 220
  30. 30.√98 to 1 decimal place? (a) 9.9 (b) 10.0 (c) 9.8 (d) 10.1
  31. 31.√83 to 1 decimal place? (a) 9.0 (b) 9.2 (c) 9.1 (d) 9.3
  32. 32.√58 to 1 decimal place? (a) 7.7 (b) 7.6 (c) 7.8 (d) 7.9
  33. 33.√56 to 1 decimal place? (a) 7.5 (b) 7.6 (c) 7.3 (d) 7.4
  34. 34.Best estimate of 1789 ÷ 31? (a) 6000 (b) 600 (c) 60
  35. 35.Best estimate of 1043 ÷ 78? (a) 130 (b) 13 (c) 1300
  36. 36.Best estimate of 3659 ÷ 69? (a) 520 (b) 5200 (c) 52
  37. 37.Best estimate of 1379 ÷ 49? (a) 2800 (b) 28 (c) 280
  38. 38.Best estimate of 2966 ÷ 62? (a) 490 (b) 4900 (c) 49
  39. 39.Best estimate of 5373 ÷ 82? (a) 670 (b) 6700 (c) 67
  40. 40.Best estimate of 2152 ÷ 42? (a) 5400 (b) 54 (c) 540

Answer key

  1. 37
  2. 16
  3. 96
  4. 7.4
  5. 80
  6. 46
  7. 75
  8. 6.6
  9. 26
  10. 12
  11. 4.9
  12. 32
  13. 28
  14. 22
  15. 76
  16. 37
  17. 76
  18. 15
  19. 6.3
  20. 6.4
  21. 6.1
  22. 88
  23. 76
  24. 9.8
  25. 7.9
  26. 32
  27. 48
  28. 27
  29. 22
  30. 9.9
  31. 9.1
  32. 7.6
  33. 7.5
  34. 60
  35. 13
  36. 52
  37. 28
  38. 49
  39. 67
  40. 54

Free mental maths lessons, practice and worksheets at talentjr.in/mental-maths