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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 58 · 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.A batter has an average of 21 runs in 7 matches. How many runs are needed in the next match to raise the average to 26? (a) 40 (b) 26 (c) 31 (d) 61
  2. 2.A batter has an average of 42 runs in 7 matches. How many runs are needed in the next match to raise the average to 45? (a) 24 (b) 48 (c) 66 (d) 45
  3. 3.What is the average of all the whole numbers from 34 to 44? (a) 39 (b) 10 (c) 5 (d) 40
  4. 4.The average of 8 numbers is 47. When one number is taken away, the average of the rest is 48. Which number was taken away? (a) 47 (b) 41 (c) 95 (d) 40
  5. 5.What is the average of 52, 31, 57, 36, 30 and 46? (a) 41 (b) 44 (c) 42 (d) 43
  6. 6.What is the average of 46, 54, 53, 43, 59 and 63? (a) 53 (b) 54 (c) 55 (d) 52
  7. 7.What is the average of all the whole numbers from 48 to 64? (a) 56 (b) 8 (c) 16 (d) 57
  8. 8.A batter has an average of 46 runs in 9 matches. How many runs are needed in the next match to raise the average to 49? (a) 49 (b) 76 (c) 52 (d) 30
  9. 9.What is the average of all the whole numbers from 24 to 52? (a) 14 (b) 38 (c) 39 (d) 28
  10. 10.The average of 7 numbers is 36. When one number is taken away, the average of the rest is 39. Which number was taken away? (a) 19 (b) 18 (c) 75 (d) 36
  11. 11.The average of 6 numbers is 21. When one number is taken away, the average of the rest is 25. Which number was taken away? (a) 46 (b) 1 (c) 2 (d) 21
  12. 12.What is the average of all the whole numbers from 24 to 46? (a) 36 (b) 22 (c) 35 (d) 11
  13. 13.A batter has an average of 27 runs in 9 matches. How many runs are needed in the next match to raise the average to 33? (a) 60 (b) 87 (c) 33 (d) 39
  14. 14.What is the average of all the whole numbers from 50 to 70? (a) 10 (b) 20 (c) 61 (d) 60
  15. 15.What is the average of all the whole numbers from 21 to 31? (a) 5 (b) 27 (c) 26 (d) 10
  16. 16.What is the average of all the whole numbers from 59 to 93? (a) 34 (b) 76 (c) 77 (d) 17
  17. 17.A batter has an average of 24 runs in 4 matches. How many runs are needed in the next match to raise the average to 27? (a) 15 (b) 27 (c) 39 (d) 30
  18. 18.What is the average of all the whole numbers from 9 to 37? (a) 14 (b) 24 (c) 28 (d) 23
  19. 19.What is the average of all the whole numbers from 26 to 56? (a) 15 (b) 41 (c) 42 (d) 30
  20. 20.What is the average of 65, 41, 52 and 46? (a) 52 (b) 50 (c) 51 (d) 68
  21. 21.The average of 5 numbers is 20. When one number is taken away, the average of the rest is 18. Which number was taken away? (a) 38 (b) 28 (c) 10 (d) 20
  22. 22.The average of 4 numbers is 45. When one number is taken away, the average of the rest is 41. Which number was taken away? (a) 45 (b) 57 (c) 16 (d) 86
  23. 23.What is the average of all the whole numbers from 33 to 59? (a) 46 (b) 47 (c) 26 (d) 13
  24. 24.What is the average of all the whole numbers from 49 to 71? (a) 60 (b) 61 (c) 22 (d) 11
  25. 25.The average of 7 numbers is 27. When one number is taken away, the average of the rest is 28. Which number was taken away? (a) 55 (b) 21 (c) 22 (d) 27
  26. 26.A batter has an average of 51 runs in 4 matches. How many runs are needed in the next match to raise the average to 58? (a) 65 (b) 86 (c) 35 (d) 58
  27. 27.What is the average of 19, 41, 17, 19, 22 and 38? (a) 26 (b) 27 (c) 28 (d) 25
  28. 28.What is the average of all the whole numbers from 46 to 66? (a) 56 (b) 57 (c) 20 (d) 10
  29. 29.The average of 6 numbers is 33. When one number is taken away, the average of the rest is 38. Which number was taken away? (a) 33 (b) 9 (c) 8 (d) 71
  30. 30.A batter has an average of 40 runs in 7 matches. How many runs are needed in the next match to raise the average to 48? (a) 64 (b) 104 (c) 48 (d) 56
  31. 31.What is the average of all the whole numbers from 19 to 25? (a) 6 (b) 3 (c) 23 (d) 22
  32. 32.What is the average of 75, 76, 68, 88 and 73? (a) 95 (b) 76 (c) 77 (d) 75
  33. 33.What is the average of all the whole numbers from 41 to 49? (a) 45 (b) 46 (c) 4 (d) 8
  34. 34.A batter has an average of 20 runs in 7 matches. How many runs are needed in the next match to raise the average to 27? (a) 34 (b) 76 (c) 56 (d) 27
  35. 35.The average of 4 numbers is 38. When one number is taken away, the average of the rest is 42. Which number was taken away? (a) 38 (b) 26 (c) 80 (d) 27
  36. 36.What is the average of all the whole numbers from 42 to 64? (a) 11 (b) 22 (c) 53 (d) 54
  37. 37.What is the average of all the whole numbers from 43 to 59? (a) 52 (b) 16 (c) 51 (d) 8
  38. 38.The average of 5 numbers is 33. When one number is taken away, the average of the rest is 36. Which number was taken away? (a) 22 (b) 69 (c) 33 (d) 21
  39. 39.What is the average of 25, 32, 17 and 54? (a) 34 (b) 31 (c) 33 (d) 32
  40. 40.The average of 7 numbers is 25. When one number is taken away, the average of the rest is 27. Which number was taken away? (a) 14 (b) 13 (c) 25 (d) 52

Answer key

  1. 61
  2. 66
  3. 39
  4. 40
  5. 42
  6. 53
  7. 56
  8. 76
  9. 38
  10. 18
  11. 1
  12. 35
  13. 87
  14. 60
  15. 26
  16. 76
  17. 39
  18. 23
  19. 41
  20. 51
  21. 28
  22. 57
  23. 46
  24. 60
  25. 21
  26. 86
  27. 26
  28. 56
  29. 8
  30. 104
  31. 22
  32. 76
  33. 45
  34. 76
  35. 26
  36. 53
  37. 51
  38. 21
  39. 32
  40. 13

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