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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 234 · 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 51 runs in 8 matches. How many runs are needed in the next match to raise the average to 58? (a) 65 (b) 63 (c) 58 (d) 114
  2. 2.The average of 8 numbers is 15. When one number is taken away, the average of the rest is 11. Which number was taken away? (a) 43 (b) 26 (c) 15 (d) 32
  3. 3.The average of 4 numbers is 16. When one number is taken away, the average of the rest is 14. Which number was taken away? (a) 30 (b) 22 (c) 16 (d) 8
  4. 4.A batter has an average of 22 runs in 6 matches. How many runs are needed in the next match to raise the average to 28? (a) 28 (b) 42 (c) 64 (d) 34
  5. 5.What is the average of 62, 78, 74, 61 and 95? (a) 73 (b) 76 (c) 75 (d) 74
  6. 6.What is the average of all the whole numbers from 31 to 45? (a) 39 (b) 14 (c) 38 (d) 7
  7. 7.The average of 4 numbers is 37. When one number is taken away, the average of the rest is 34. Which number was taken away? (a) 12 (b) 46 (c) 71 (d) 37
  8. 8.What is the average of 51, 38, 50 and 73? (a) 55 (b) 52 (c) 54 (d) 53
  9. 9.A batter has an average of 34 runs in 5 matches. How many runs are needed in the next match to raise the average to 40? (a) 70 (b) 46 (c) 36 (d) 40
  10. 10.What is the average of 76, 73, 75 and 24? (a) 61 (b) 63 (c) 62 (d) 64
  11. 11.What is the average of 16, 17, 37, 17 and 53? (a) 35 (b) 27 (c) 29 (d) 28
  12. 12.What is the average of 76, 86, 83, 63 and 67? (a) 75 (b) 77 (c) 74 (d) 76
  13. 13.What is the average of all the whole numbers from 50 to 80? (a) 30 (b) 66 (c) 65 (d) 15
  14. 14.A batter has an average of 21 runs in 5 matches. How many runs are needed in the next match to raise the average to 28? (a) 28 (b) 63 (c) 42 (d) 35
  15. 15.What is the average of 71, 83, 61, 60 and 90? (a) 73 (b) 74 (c) 72 (d) 75
  16. 16.What is the average of 23, 48, 26 and 55? (a) 38 (b) 37 (c) 39 (d) 40
  17. 17.A batter has an average of 59 runs in 3 matches. How many runs are needed in the next match to raise the average to 63? (a) 67 (b) 63 (c) 16 (d) 75
  18. 18.What is the average of all the whole numbers from 23 to 33? (a) 28 (b) 5 (c) 29 (d) 10
  19. 19.A batter has an average of 33 runs in 7 matches. How many runs are needed in the next match to raise the average to 35? (a) 49 (b) 16 (c) 35 (d) 37
  20. 20.What is the average of 24, 41, 44 and 19? (a) 32 (b) 31 (c) 34 (d) 33
  21. 21.What is the average of all the whole numbers from 54 to 78? (a) 67 (b) 12 (c) 24 (d) 66
  22. 22.What is the average of 66, 81, 60, 78 and 75? (a) 71 (b) 72 (c) 90 (d) 73
  23. 23.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) 33 (b) 39 (c) 87 (d) 60
  24. 24.A batter has an average of 26 runs in 8 matches. How many runs are needed in the next match to raise the average to 28? (a) 44 (b) 28 (c) 18 (d) 30
  25. 25.What is the average of all the whole numbers from 34 to 44? (a) 5 (b) 39 (c) 10 (d) 40
  26. 26.The average of 5 numbers is 30. When one number is taken away, the average of the rest is 28. Which number was taken away? (a) 30 (b) 38 (c) 58 (d) 10
  27. 27.What is the average of 50, 36, 40, 27, 47 and 40? (a) 40 (b) 48 (c) 39 (d) 41
  28. 28.The average of 5 numbers is 37. When one number is taken away, the average of the rest is 33. Which number was taken away? (a) 20 (b) 70 (c) 53 (d) 37
  29. 29.The average of 6 numbers is 14. When one number is taken away, the average of the rest is 12. Which number was taken away? (a) 26 (b) 14 (c) 12 (d) 24
  30. 30.What is the average of 44, 62, 67, 54, 59 and 26? (a) 53 (b) 51 (c) 52 (d) 54
  31. 31.What is the average of 62, 77, 64, 85 and 82? (a) 76 (b) 75 (c) 73 (d) 74
  32. 32.What is the average of 24, 31, 37 and 4? (a) 25 (b) 32 (c) 24 (d) 23
  33. 33.What is the average of 43, 46, 43 and 72? (a) 52 (b) 68 (c) 51 (d) 50
  34. 34.What is the average of 87, 93, 68, 72, 80 and 74? (a) 81 (b) 79 (c) 78 (d) 80
  35. 35.What is the average of all the whole numbers from 40 to 72? (a) 56 (b) 32 (c) 57 (d) 16
  36. 36.What is the average of 26, 20, 12, 22 and 25? (a) 20 (b) 23 (c) 22 (d) 21
  37. 37.What is the average of 21, 24, 19, 39, 25 and 40? (a) 29 (b) 28 (c) 30 (d) 27
  38. 38.What is the average of 41, 54, 38 and 47? (a) 46 (b) 44 (c) 60 (d) 45
  39. 39.What is the average of all the whole numbers from 19 to 33? (a) 14 (b) 26 (c) 7 (d) 27
  40. 40.A batter has an average of 42 runs in 4 matches. How many runs are needed in the next match to raise the average to 45? (a) 15 (b) 57 (c) 48 (d) 45

Answer key

  1. 114
  2. 43
  3. 22
  4. 64
  5. 74
  6. 38
  7. 46
  8. 53
  9. 70
  10. 62
  11. 28
  12. 75
  13. 65
  14. 63
  15. 73
  16. 38
  17. 75
  18. 28
  19. 49
  20. 32
  21. 66
  22. 72
  23. 87
  24. 44
  25. 39
  26. 38
  27. 40
  28. 53
  29. 24
  30. 52
  31. 74
  32. 24
  33. 51
  34. 79
  35. 56
  36. 21
  37. 28
  38. 45
  39. 26
  40. 57

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