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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 688 · 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 37 runs in 7 matches. How many runs are needed in the next match to raise the average to 43? (a) 49 (b) 43 (c) 48 (d) 85
  2. 2.What is the average of all the whole numbers from 57 to 87? (a) 15 (b) 72 (c) 30 (d) 73
  3. 3.What is the average of 48, 53, 45, 42, 69 and 73? (a) 54 (b) 56 (c) 66 (d) 55
  4. 4.A batter has an average of 60 runs in 6 matches. How many runs are needed in the next match to raise the average to 65? (a) 95 (b) 35 (c) 70 (d) 65
  5. 5.What is the average of 38, 40, 65, 49, 37 and 71? (a) 51 (b) 49 (c) 60 (d) 50
  6. 6.The average of 8 numbers is 40. When one number is taken away, the average of the rest is 38. Which number was taken away? (a) 54 (b) 16 (c) 78 (d) 40
  7. 7.The average of 6 numbers is 18. When one number is taken away, the average of the rest is 14. Which number was taken away? (a) 38 (b) 18 (c) 24 (d) 32
  8. 8.What is the average of all the whole numbers from 21 to 55? (a) 17 (b) 34 (c) 39 (d) 38
  9. 9.What is the average of 52, 73, 52, 62 and 66? (a) 60 (b) 61 (c) 62 (d) 63
  10. 10.What is the average of 42, 31, 32, 16 and 19? (a) 29 (b) 28 (c) 35 (d) 27
  11. 11.What is the average of all the whole numbers from 54 to 74? (a) 65 (b) 10 (c) 20 (d) 64
  12. 12.What is the average of 55, 52, 51 and 58? (a) 72 (b) 53 (c) 54 (d) 55
  13. 13.The average of 7 numbers is 48. When one number is taken away, the average of the rest is 52. Which number was taken away? (a) 24 (b) 100 (c) 25 (d) 48
  14. 14.A batter has an average of 48 runs in 4 matches. How many runs are needed in the next match to raise the average to 50? (a) 10 (b) 50 (c) 52 (d) 58
  15. 15.The average of 6 numbers is 37. When one number is taken away, the average of the rest is 34. Which number was taken away? (a) 18 (b) 37 (c) 52 (d) 71
  16. 16.What is the average of all the whole numbers from 26 to 46? (a) 20 (b) 37 (c) 36 (d) 10
  17. 17.What is the average of 48, 38, 24 and 38? (a) 36 (b) 39 (c) 37 (d) 38
  18. 18.What is the average of all the whole numbers from 59 to 93? (a) 17 (b) 76 (c) 77 (d) 34
  19. 19.A batter has an average of 45 runs in 8 matches. How many runs are needed in the next match to raise the average to 50? (a) 50 (b) 55 (c) 90 (d) 45
  20. 20.What is the average of 22, 37, 43, 19 and 29? (a) 32 (b) 29 (c) 30 (d) 31
  21. 21.What is the average of all the whole numbers from 8 to 40? (a) 32 (b) 16 (c) 25 (d) 24
  22. 22.What is the average of 55, 58, 41 and 38? (a) 47 (b) 49 (c) 48 (d) 64
  23. 23.What is the average of all the whole numbers from 41 to 49? (a) 45 (b) 8 (c) 46 (d) 4
  24. 24.A batter has an average of 59 runs in 4 matches. How many runs are needed in the next match to raise the average to 66? (a) 94 (b) 35 (c) 66 (d) 73
  25. 25.A batter has an average of 48 runs in 9 matches. How many runs are needed in the next match to raise the average to 52? (a) 52 (b) 88 (c) 40 (d) 56
  26. 26.What is the average of 25, 28, 33, 41 and 18? (a) 31 (b) 29 (c) 28 (d) 30
  27. 27.What is the average of all the whole numbers from 16 to 46? (a) 30 (b) 15 (c) 31 (d) 32
  28. 28.What is the average of 22, 31, 38 and 49? (a) 37 (b) 35 (c) 36 (d) 34
  29. 29.What is the average of 47, 53, 62, 58, 77 and 75? (a) 61 (b) 62 (c) 63 (d) 64
  30. 30.The average of 7 numbers is 17. When one number is taken away, the average of the rest is 18. Which number was taken away? (a) 12 (b) 11 (c) 35 (d) 17
  31. 31.What is the average of 7, 10, 17 and 54? (a) 21 (b) 22 (c) 23 (d) 24
  32. 32.The average of 4 numbers is 12. When one number is taken away, the average of the rest is 8. Which number was taken away? (a) 12 (b) 20 (c) 16 (d) 24
  33. 33.What is the average of 55, 68, 66, 61, 72 and 68? (a) 78 (b) 65 (c) 66 (d) 64
  34. 34.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 24? (a) 27 (b) 46 (c) 24 (d) 45
  35. 35.A batter has an average of 32 runs in 7 matches. How many runs are needed in the next match to raise the average to 35? (a) 35 (b) 56 (c) 24 (d) 38
  36. 36.What is the average of 21, 22, 35, 36 and 41? (a) 33 (b) 30 (c) 32 (d) 31
  37. 37.What is the average of all the whole numbers from 5 to 29? (a) 24 (b) 17 (c) 12 (d) 18
  38. 38.What is the average of 47, 56, 48 and 85? (a) 60 (b) 58 (c) 61 (d) 59
  39. 39.What is the average of all the whole numbers from 12 to 18? (a) 6 (b) 3 (c) 16 (d) 15
  40. 40.What is the average of all the whole numbers from 48 to 74? (a) 62 (b) 13 (c) 26 (d) 61

Answer key

  1. 85
  2. 72
  3. 55
  4. 95
  5. 50
  6. 54
  7. 38
  8. 38
  9. 61
  10. 28
  11. 64
  12. 54
  13. 24
  14. 58
  15. 52
  16. 36
  17. 37
  18. 76
  19. 90
  20. 30
  21. 24
  22. 48
  23. 45
  24. 94
  25. 88
  26. 29
  27. 31
  28. 35
  29. 62
  30. 11
  31. 22
  32. 24
  33. 65
  34. 45
  35. 56
  36. 31
  37. 17
  38. 59
  39. 15
  40. 61

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