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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 463 · 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 30 runs in 4 matches. How many runs are needed in the next match to raise the average to 34? (a) 20 (b) 38 (c) 34 (d) 50
  2. 2.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) 15 (b) 71 (c) 49 (d) 37
  3. 3.The average of 8 numbers is 35. When one number is taken away, the average of the rest is 34. Which number was taken away? (a) 35 (b) 69 (c) 8 (d) 42
  4. 4.What is the average of 68, 43, 46 and 59? (a) 72 (b) 53 (c) 54 (d) 55
  5. 5.The average of 6 numbers is 35. When one number is taken away, the average of the rest is 34. Which number was taken away? (a) 35 (b) 69 (c) 6 (d) 40
  6. 6.What is the average of 56, 41, 60, 65 and 53? (a) 55 (b) 56 (c) 57 (d) 54
  7. 7.A batter has an average of 32 runs in 8 matches. How many runs are needed in the next match to raise the average to 36? (a) 68 (b) 69 (c) 36 (d) 40
  8. 8.What is the average of 35, 23, 14 and 8? (a) 22 (b) 21 (c) 20 (d) 19
  9. 9.What is the average of all the whole numbers from 22 to 30? (a) 8 (b) 4 (c) 26 (d) 27
  10. 10.A batter has an average of 54 runs in 6 matches. How many runs are needed in the next match to raise the average to 56? (a) 58 (b) 68 (c) 56 (d) 14
  11. 11.The average of 4 numbers is 22. When one number is taken away, the average of the rest is 21. Which number was taken away? (a) 25 (b) 43 (c) 4 (d) 22
  12. 12.What is the average of all the whole numbers from 39 to 49? (a) 10 (b) 5 (c) 45 (d) 44
  13. 13.The average of 4 numbers is 27. When one number is taken away, the average of the rest is 25. Which number was taken away? (a) 27 (b) 8 (c) 52 (d) 33
  14. 14.What is the average of all the whole numbers from 44 to 52? (a) 8 (b) 48 (c) 49 (d) 4
  15. 15.The average of 5 numbers is 24. When one number is taken away, the average of the rest is 25. Which number was taken away? (a) 49 (b) 24 (c) 20 (d) 21
  16. 16.The average of 4 numbers is 28. When one number is taken away, the average of the rest is 26. Which number was taken away? (a) 54 (b) 8 (c) 28 (d) 34
  17. 17.A batter has an average of 57 runs in 3 matches. How many runs are needed in the next match to raise the average to 65? (a) 32 (b) 73 (c) 89 (d) 65
  18. 18.The average of 6 numbers is 12. When one number is taken away, the average of the rest is 8. Which number was taken away? (a) 12 (b) 32 (c) 24 (d) 20
  19. 19.What is the average of all the whole numbers from 22 to 28? (a) 26 (b) 3 (c) 25 (d) 6
  20. 20.The average of 8 numbers is 14. When one number is taken away, the average of the rest is 15. Which number was taken away? (a) 7 (b) 29 (c) 8 (d) 14
  21. 21.What is the average of all the whole numbers from 5 to 19? (a) 12 (b) 13 (c) 7 (d) 14
  22. 22.The average of 6 numbers is 23. When one number is taken away, the average of the rest is 27. Which number was taken away? (a) 3 (b) 50 (c) 4 (d) 23
  23. 23.The average of 6 numbers is 31. When one number is taken away, the average of the rest is 26. Which number was taken away? (a) 30 (b) 56 (c) 31 (d) 57
  24. 24.A batter has an average of 22 runs in 3 matches. How many runs are needed in the next match to raise the average to 28? (a) 28 (b) 24 (c) 34 (d) 46
  25. 25.The average of 7 numbers is 29. When one number is taken away, the average of the rest is 30. Which number was taken away? (a) 59 (b) 23 (c) 24 (d) 29
  26. 26.What is the average of all the whole numbers from 26 to 44? (a) 36 (b) 35 (c) 18 (d) 9
  27. 27.The average of 5 numbers is 49. When one number is taken away, the average of the rest is 48. Which number was taken away? (a) 5 (b) 97 (c) 53 (d) 49
  28. 28.What is the average of 6, 26, 34, 22 and 12? (a) 21 (b) 20 (c) 19 (d) 25
  29. 29.What is the average of 51, 46, 63, 54 and 86? (a) 60 (b) 59 (c) 75 (d) 61
  30. 30.What is the average of 34, 18, 19 and 33? (a) 27 (b) 26 (c) 28 (d) 25
  31. 31.What is the average of all the whole numbers from 52 to 76? (a) 24 (b) 12 (c) 64 (d) 65
  32. 32.The average of 4 numbers is 37. When one number is taken away, the average of the rest is 35. Which number was taken away? (a) 37 (b) 8 (c) 72 (d) 43
  33. 33.What is the average of 40, 46, 63 and 67? (a) 55 (b) 72 (c) 53 (d) 54
  34. 34.The average of 7 numbers is 36. When one number is taken away, the average of the rest is 35. Which number was taken away? (a) 7 (b) 42 (c) 71 (d) 36
  35. 35.A batter has an average of 46 runs in 6 matches. How many runs are needed in the next match to raise the average to 49? (a) 67 (b) 21 (c) 52 (d) 49
  36. 36.A batter has an average of 46 runs in 5 matches. How many runs are needed in the next match to raise the average to 49? (a) 18 (b) 49 (c) 64 (d) 52
  37. 37.A batter has an average of 23 runs in 6 matches. How many runs are needed in the next match to raise the average to 25? (a) 27 (b) 14 (c) 37 (d) 25
  38. 38.What is the average of all the whole numbers from 9 to 39? (a) 30 (b) 15 (c) 24 (d) 25
  39. 39.What is the average of 76, 65, 77, 66 and 66? (a) 72 (b) 70 (c) 69 (d) 71
  40. 40.A batter has an average of 24 runs in 9 matches. How many runs are needed in the next match to raise the average to 29? (a) 50 (b) 34 (c) 74 (d) 29

Answer key

  1. 50
  2. 49
  3. 42
  4. 54
  5. 40
  6. 55
  7. 68
  8. 20
  9. 26
  10. 68
  11. 25
  12. 44
  13. 33
  14. 48
  15. 20
  16. 34
  17. 89
  18. 32
  19. 25
  20. 7
  21. 12
  22. 3
  23. 56
  24. 46
  25. 23
  26. 35
  27. 53
  28. 20
  29. 60
  30. 26
  31. 64
  32. 43
  33. 54
  34. 42
  35. 67
  36. 64
  37. 37
  38. 24
  39. 70
  40. 74

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