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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 936 · 40 questions
TalentJR

How to solve it (Think in totals): Average = total ÷ how many; so total = average × how many. A number taken away = old total − new total. Evenly spaced numbers (like 10 to 20): average = (first + last) ÷ 2.

NameDateTime takenScore ___ / 40
  1. 1.What is the average of all the whole numbers from 33 to 41? (a) 38 (b) 8 (c) 4 (d) 37
  2. 2.What is the average of all the whole numbers from 27 to 51? (a) 12 (b) 40 (c) 24 (d) 39
  3. 3.A batter has an average of 43 runs in 7 matches. How many runs are needed in the next match to raise the average to 47? (a) 32 (b) 47 (c) 51 (d) 75
  4. 4.What is the average of 29, 44, 41 and 34? (a) 39 (b) 36 (c) 38 (d) 37
  5. 5.What is the average of all the whole numbers from 10 to 34? (a) 12 (b) 22 (c) 24 (d) 23
  6. 6.What is the average of all the whole numbers from 48 to 88? (a) 68 (b) 40 (c) 20 (d) 69
  7. 7.What is the average of 81, 58, 82 and 51? (a) 67 (b) 70 (c) 68 (d) 69
  8. 8.A batter has an average of 41 runs in 6 matches. How many runs are needed in the next match to raise the average to 46? (a) 51 (b) 35 (c) 46 (d) 76
  9. 9.What is the average of all the whole numbers from 52 to 68? (a) 16 (b) 8 (c) 61 (d) 60
  10. 10.A batter has an average of 52 runs in 8 matches. How many runs are needed in the next match to raise the average to 57? (a) 62 (b) 45 (c) 97 (d) 57
  11. 11.What is the average of 52, 66, 59 and 67? (a) 63 (b) 60 (c) 62 (d) 61
  12. 12.A batter has an average of 56 runs in 7 matches. How many runs are needed in the next match to raise the average to 64? (a) 121 (b) 64 (c) 72 (d) 120
  13. 13.What is the average of all the whole numbers from 7 to 23? (a) 15 (b) 14 (c) 8 (d) 16
  14. 14.What is the average of 33, 38, 30, 16, 26 and 25? (a) 28 (b) 30 (c) 29 (d) 27
  15. 15.The average of 6 numbers is 18. When one number is taken away, the average of the rest is 16. Which number was taken away? (a) 18 (b) 34 (c) 28 (d) 12
  16. 16.What is the average of all the whole numbers from 41 to 53? (a) 12 (b) 6 (c) 47 (d) 48
  17. 17.A batter has an average of 26 runs in 4 matches. How many runs are needed in the next match to raise the average to 34? (a) 66 (b) 40 (c) 34 (d) 42
  18. 18.A batter has an average of 54 runs in 9 matches. How many runs are needed in the next match to raise the average to 61? (a) 61 (b) 70 (c) 124 (d) 68
  19. 19.What is the average of 53, 47, 43, 28, 37 and 44? (a) 43 (b) 44 (c) 41 (d) 42
  20. 20.The average of 5 numbers is 11. When one number is taken away, the average of the rest is 12. Which number was taken away? (a) 11 (b) 23 (c) 7 (d) 8
  21. 21.A batter has an average of 49 runs in 3 matches. How many runs are needed in the next match to raise the average to 53? (a) 57 (b) 16 (c) 53 (d) 65
  22. 22.The average of 5 numbers is 19. When one number is taken away, the average of the rest is 23. Which number was taken away? (a) 4 (b) 42 (c) 3 (d) 19
  23. 23.What is the average of all the whole numbers from 14 to 28? (a) 7 (b) 21 (c) 22 (d) 14
  24. 24.What is the average of 25, 41, 21, 41, 33 and 43? (a) 36 (b) 33 (c) 34 (d) 35
  25. 25.A batter has an average of 58 runs in 5 matches. How many runs are needed in the next match to raise the average to 61? (a) 18 (b) 76 (c) 64 (d) 61
  26. 26.A batter has an average of 43 runs in 3 matches. How many runs are needed in the next match to raise the average to 49? (a) 49 (b) 24 (c) 55 (d) 67
  27. 27.The average of 6 numbers is 24. When one number is taken away, the average of the rest is 21. Which number was taken away? (a) 18 (b) 45 (c) 24 (d) 39
  28. 28.The average of 4 numbers is 20. When one number is taken away, the average of the rest is 15. Which number was taken away? (a) 34 (b) 20 (c) 36 (d) 35
  29. 29.The average of 4 numbers is 10. When one number is taken away, the average of the rest is 5. Which number was taken away? (a) 15 (b) 25 (c) 10 (d) 20
  30. 30.What is the average of 61, 61, 68, 80 and 110? (a) 77 (b) 95 (c) 76 (d) 75
  31. 31.What is the average of 36, 65, 44, 52 and 53? (a) 49 (b) 52 (c) 51 (d) 50
  32. 32.The average of 7 numbers is 48. When one number is taken away, the average of the rest is 43. Which number was taken away? (a) 35 (b) 78 (c) 91 (d) 48
  33. 33.What is the average of all the whole numbers from 34 to 70? (a) 36 (b) 18 (c) 53 (d) 52
  34. 34.What is the average of all the whole numbers from 44 to 68? (a) 57 (b) 24 (c) 56 (d) 12
  35. 35.A batter has an average of 39 runs in 4 matches. How many runs are needed in the next match to raise the average to 42? (a) 54 (b) 15 (c) 42 (d) 45
  36. 36.What is the average of all the whole numbers from 44 to 54? (a) 49 (b) 5 (c) 50 (d) 10
  37. 37.The average of 5 numbers is 42. When one number is taken away, the average of the rest is 40. Which number was taken away? (a) 42 (b) 50 (c) 10 (d) 82
  38. 38.What is the average of all the whole numbers from 35 to 45? (a) 5 (b) 10 (c) 41 (d) 40
  39. 39.What is the average of all the whole numbers from 23 to 33? (a) 28 (b) 10 (c) 29 (d) 5
  40. 40.What is the average of all the whole numbers from 30 to 50? (a) 41 (b) 10 (c) 40 (d) 20

Answer key

  1. 37
  2. 39
  3. 75
  4. 37
  5. 22
  6. 68
  7. 68
  8. 76
  9. 60
  10. 97
  11. 61
  12. 120
  13. 15
  14. 28
  15. 28
  16. 47
  17. 66
  18. 124
  19. 42
  20. 7
  21. 65
  22. 3
  23. 21
  24. 34
  25. 76
  26. 67
  27. 39
  28. 35
  29. 25
  30. 76
  31. 50
  32. 78
  33. 52
  34. 56
  35. 54
  36. 49
  37. 50
  38. 40
  39. 28
  40. 40

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