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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 382 · 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 53 runs in 4 matches. How many runs are needed in the next match to raise the average to 59? (a) 59 (b) 65 (c) 30 (d) 83
  2. 2.What is the average of all the whole numbers from 23 to 55? (a) 40 (b) 16 (c) 32 (d) 39
  3. 3.A batter has an average of 22 runs in 8 matches. How many runs are needed in the next match to raise the average to 25? (a) 25 (b) 49 (c) 28 (d) 27
  4. 4.What is the average of all the whole numbers from 45 to 51? (a) 6 (b) 3 (c) 48 (d) 49
  5. 5.A batter has an average of 56 runs in 3 matches. How many runs are needed in the next match to raise the average to 58? (a) 60 (b) 58 (c) 8 (d) 64
  6. 6.What is the average of all the whole numbers from 34 to 48? (a) 14 (b) 7 (c) 41 (d) 42
  7. 7.The average of 4 numbers is 43. When one number is taken away, the average of the rest is 42. Which number was taken away? (a) 4 (b) 43 (c) 85 (d) 46
  8. 8.The average of 4 numbers is 23. When one number is taken away, the average of the rest is 22. Which number was taken away? (a) 23 (b) 4 (c) 26 (d) 45
  9. 9.What is the average of all the whole numbers from 26 to 66? (a) 46 (b) 40 (c) 47 (d) 20
  10. 10.What is the average of all the whole numbers from 41 to 75? (a) 59 (b) 34 (c) 17 (d) 58
  11. 11.What is the average of 64, 52, 50, 43 and 41? (a) 50 (b) 51 (c) 52 (d) 49
  12. 12.A batter has an average of 25 runs in 5 matches. How many runs are needed in the next match to raise the average to 31? (a) 36 (b) 31 (c) 37 (d) 61
  13. 13.What is the average of 52, 77, 56, 68 and 72? (a) 65 (b) 66 (c) 67 (d) 64
  14. 14.What is the average of 17, 36, 17, 15 and 35? (a) 25 (b) 30 (c) 24 (d) 23
  15. 15.A batter has an average of 36 runs in 5 matches. How many runs are needed in the next match to raise the average to 42? (a) 36 (b) 72 (c) 42 (d) 48
  16. 16.What is the average of all the whole numbers from 51 to 59? (a) 8 (b) 55 (c) 4 (d) 56
  17. 17.What is the average of all the whole numbers from 39 to 51? (a) 46 (b) 6 (c) 45 (d) 12
  18. 18.What is the average of all the whole numbers from 17 to 43? (a) 13 (b) 26 (c) 30 (d) 31
  19. 19.What is the average of 67, 62, 71, 80 and 90? (a) 76 (b) 74 (c) 75 (d) 73
  20. 20.The average of 6 numbers is 32. When one number is taken away, the average of the rest is 36. Which number was taken away? (a) 13 (b) 68 (c) 32 (d) 12
  21. 21.A batter has an average of 31 runs in 5 matches. How many runs are needed in the next match to raise the average to 36? (a) 61 (b) 41 (c) 36 (d) 30
  22. 22.The average of 5 numbers is 21. When one number is taken away, the average of the rest is 20. Which number was taken away? (a) 41 (b) 25 (c) 5 (d) 21
  23. 23.A batter has an average of 34 runs in 3 matches. How many runs are needed in the next match to raise the average to 42? (a) 50 (b) 66 (c) 42 (d) 32
  24. 24.The average of 6 numbers is 48. When one number is taken away, the average of the rest is 45. Which number was taken away? (a) 48 (b) 93 (c) 18 (d) 63
  25. 25.The average of 5 numbers is 41. When one number is taken away, the average of the rest is 38. Which number was taken away? (a) 53 (b) 79 (c) 41 (d) 15
  26. 26.What is the average of 65, 70, 68 and 41? (a) 62 (b) 60 (c) 61 (d) 63
  27. 27.What is the average of all the whole numbers from 59 to 73? (a) 14 (b) 66 (c) 67 (d) 7
  28. 28.The average of 8 numbers is 37. When one number is taken away, the average of the rest is 32. Which number was taken away? (a) 37 (b) 69 (c) 72 (d) 40
  29. 29.What is the average of 71, 61, 79, 87 and 82? (a) 77 (b) 76 (c) 75 (d) 95
  30. 30.What is the average of 9, 25, 8 and 46? (a) 24 (b) 22 (c) 21 (d) 23
  31. 31.What is the average of all the whole numbers from 13 to 39? (a) 13 (b) 25 (c) 27 (d) 26
  32. 32.The average of 4 numbers is 45. When one number is taken away, the average of the rest is 43. Which number was taken away? (a) 45 (b) 8 (c) 88 (d) 51
  33. 33.What is the average of 25, 33, 20 and 2? (a) 21 (b) 22 (c) 20 (d) 19
  34. 34.What is the average of all the whole numbers from 24 to 44? (a) 20 (b) 10 (c) 35 (d) 34
  35. 35.What is the average of 74, 79, 52, 67, 78 and 34? (a) 64 (b) 63 (c) 65 (d) 66
  36. 36.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 31? (a) 36 (b) 25 (c) 31 (d) 51
  37. 37.What is the average of 24, 45, 30, 25 and 46? (a) 35 (b) 36 (c) 33 (d) 34
  38. 38.A batter has an average of 28 runs in 8 matches. How many runs are needed in the next match to raise the average to 34? (a) 82 (b) 54 (c) 34 (d) 40
  39. 39.The average of 6 numbers is 33. When one number is taken away, the average of the rest is 34. Which number was taken away? (a) 29 (b) 67 (c) 33 (d) 28
  40. 40.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 23? (a) 37 (b) 16 (c) 25 (d) 23

Answer key

  1. 83
  2. 39
  3. 49
  4. 48
  5. 64
  6. 41
  7. 46
  8. 26
  9. 46
  10. 58
  11. 50
  12. 61
  13. 65
  14. 24
  15. 72
  16. 55
  17. 45
  18. 30
  19. 74
  20. 12
  21. 61
  22. 25
  23. 66
  24. 63
  25. 53
  26. 61
  27. 66
  28. 72
  29. 76
  30. 22
  31. 26
  32. 51
  33. 20
  34. 34
  35. 64
  36. 51
  37. 34
  38. 82
  39. 28
  40. 37

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