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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 402 · 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.The average of 7 numbers is 40. When one number is taken away, the average of the rest is 42. Which number was taken away? (a) 40 (b) 29 (c) 28 (d) 82
  2. 2.A batter has an average of 29 runs in 4 matches. How many runs are needed in the next match to raise the average to 34? (a) 25 (b) 39 (c) 54 (d) 34
  3. 3.The average of 7 numbers is 25. When one number is taken away, the average of the rest is 22. Which number was taken away? (a) 47 (b) 21 (c) 43 (d) 25
  4. 4.What is the average of 23, 18, 40, 15 and 54? (a) 32 (b) 31 (c) 29 (d) 30
  5. 5.What is the average of all the whole numbers from 14 to 24? (a) 10 (b) 5 (c) 19 (d) 20
  6. 6.What is the average of 40, 43, 44, 57, 61 and 43? (a) 50 (b) 49 (c) 47 (d) 48
  7. 7.The average of 7 numbers is 50. When one number is taken away, the average of the rest is 48. Which number was taken away? (a) 14 (b) 98 (c) 50 (d) 62
  8. 8.A batter has an average of 46 runs in 8 matches. How many runs are needed in the next match to raise the average to 48? (a) 48 (b) 18 (c) 64 (d) 50
  9. 9.A batter has an average of 37 runs in 8 matches. How many runs are needed in the next match to raise the average to 39? (a) 39 (b) 55 (c) 41 (d) 18
  10. 10.What is the average of 45, 45, 48, 26 and 31? (a) 41 (b) 39 (c) 40 (d) 38
  11. 11.The average of 8 numbers is 39. When one number is taken away, the average of the rest is 40. Which number was taken away? (a) 79 (b) 39 (c) 33 (d) 32
  12. 12.A batter has an average of 21 runs in 3 matches. How many runs are needed in the next match to raise the average to 25? (a) 37 (b) 29 (c) 16 (d) 25
  13. 13.What is the average of all the whole numbers from 27 to 55? (a) 42 (b) 14 (c) 41 (d) 28
  14. 14.What is the average of 66, 52, 62, 41, 65 and 50? (a) 55 (b) 58 (c) 56 (d) 57
  15. 15.The average of 5 numbers is 37. When one number is taken away, the average of the rest is 34. Which number was taken away? (a) 71 (b) 15 (c) 49 (d) 37
  16. 16.What is the average of all the whole numbers from 20 to 50? (a) 30 (b) 36 (c) 35 (d) 15
  17. 17.What is the average of all the whole numbers from 17 to 49? (a) 32 (b) 33 (c) 16 (d) 34
  18. 18.What is the average of all the whole numbers from 10 to 44? (a) 17 (b) 27 (c) 34 (d) 28
  19. 19.What is the average of 26, 7, 12 and 39? (a) 20 (b) 21 (c) 22 (d) 28
  20. 20.The average of 7 numbers is 27. When one number is taken away, the average of the rest is 22. Which number was taken away? (a) 57 (b) 27 (c) 35 (d) 49
  21. 21.The average of 4 numbers is 29. When one number is taken away, the average of the rest is 33. Which number was taken away? (a) 18 (b) 62 (c) 29 (d) 17
  22. 22.What is the average of all the whole numbers from 16 to 22? (a) 19 (b) 3 (c) 6 (d) 20
  23. 23.What is the average of 13, 29, 19, 18, 33 and 32? (a) 24 (b) 23 (c) 26 (d) 25
  24. 24.What is the average of 23, 27, 23 and 75? (a) 37 (b) 36 (c) 39 (d) 38
  25. 25.A batter has an average of 34 runs in 6 matches. How many runs are needed in the next match to raise the average to 36? (a) 36 (b) 48 (c) 38 (d) 14
  26. 26.What is the average of 41, 29, 46, 22 and 42? (a) 36 (b) 37 (c) 35 (d) 45
  27. 27.A batter has an average of 51 runs in 3 matches. How many runs are needed in the next match to raise the average to 57? (a) 24 (b) 57 (c) 75 (d) 63
  28. 28.The average of 6 numbers is 13. When one number is taken away, the average of the rest is 15. Which number was taken away? (a) 3 (b) 4 (c) 13 (d) 28
  29. 29.The average of 5 numbers is 10. When one number is taken away, the average of the rest is 12. Which number was taken away? (a) 2 (b) 10 (c) 22 (d) 3
  30. 30.What is the average of all the whole numbers from 29 to 45? (a) 37 (b) 8 (c) 38 (d) 16
  31. 31.What is the average of 92, 92, 69, 93 and 44? (a) 78 (b) 79 (c) 77 (d) 80
  32. 32.What is the average of all the whole numbers from 7 to 19? (a) 12 (b) 6 (c) 13 (d) 14
  33. 33.What is the average of all the whole numbers from 54 to 64? (a) 5 (b) 10 (c) 59 (d) 60
  34. 34.A batter has an average of 43 runs in 4 matches. How many runs are needed in the next match to raise the average to 45? (a) 47 (b) 53 (c) 10 (d) 45
  35. 35.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) 50 (b) 52 (c) 58 (d) 10
  36. 36.A batter has an average of 32 runs in 3 matches. How many runs are needed in the next match to raise the average to 36? (a) 36 (b) 40 (c) 48 (d) 16
  37. 37.What is the average of 72, 77, 72 and 59? (a) 72 (b) 69 (c) 71 (d) 70
  38. 38.What is the average of 71, 57, 70 and 50? (a) 63 (b) 64 (c) 61 (d) 62
  39. 39.What is the average of all the whole numbers from 46 to 80? (a) 64 (b) 34 (c) 63 (d) 17
  40. 40.A batter has an average of 54 runs in 5 matches. How many runs are needed in the next match to raise the average to 58? (a) 24 (b) 78 (c) 62 (d) 58

Answer key

  1. 28
  2. 54
  3. 43
  4. 30
  5. 19
  6. 48
  7. 62
  8. 64
  9. 55
  10. 39
  11. 32
  12. 37
  13. 41
  14. 56
  15. 49
  16. 35
  17. 33
  18. 27
  19. 21
  20. 57
  21. 17
  22. 19
  23. 24
  24. 37
  25. 48
  26. 36
  27. 75
  28. 3
  29. 2
  30. 37
  31. 78
  32. 13
  33. 59
  34. 53
  35. 58
  36. 48
  37. 70
  38. 62
  39. 63
  40. 78

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