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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 575 · 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 46. When one number is taken away, the average of the rest is 49. Which number was taken away? (a) 29 (b) 46 (c) 28 (d) 95
  2. 2.The average of 7 numbers is 14. When one number is taken away, the average of the rest is 11. Which number was taken away? (a) 32 (b) 14 (c) 25 (d) 21
  3. 3.What is the average of all the whole numbers from 11 to 51? (a) 20 (b) 31 (c) 40 (d) 32
  4. 4.What is the average of all the whole numbers from 20 to 44? (a) 12 (b) 33 (c) 24 (d) 32
  5. 5.A batter has an average of 28 runs in 7 matches. How many runs are needed in the next match to raise the average to 34? (a) 76 (b) 34 (c) 40 (d) 48
  6. 6.What is the average of 31, 34, 17 and 30? (a) 28 (b) 27 (c) 30 (d) 29
  7. 7.What is the average of all the whole numbers from 16 to 40? (a) 29 (b) 24 (c) 28 (d) 12
  8. 8.The average of 4 numbers is 29. When one number is taken away, the average of the rest is 27. Which number was taken away? (a) 35 (b) 56 (c) 29 (d) 8
  9. 9.What is the average of all the whole numbers from 31 to 37? (a) 35 (b) 3 (c) 34 (d) 6
  10. 10.The average of 5 numbers is 32. When one number is taken away, the average of the rest is 31. Which number was taken away? (a) 63 (b) 36 (c) 32 (d) 5
  11. 11.What is the average of all the whole numbers from 40 to 60? (a) 20 (b) 50 (c) 51 (d) 10
  12. 12.The average of 6 numbers is 40. When one number is taken away, the average of the rest is 43. Which number was taken away? (a) 40 (b) 83 (c) 26 (d) 25
  13. 13.The average of 4 numbers is 17. When one number is taken away, the average of the rest is 16. Which number was taken away? (a) 17 (b) 4 (c) 20 (d) 33
  14. 14.What is the average of 67, 50, 47, 47, 73 and 88? (a) 63 (b) 61 (c) 62 (d) 64
  15. 15.What is the average of all the whole numbers from 38 to 58? (a) 10 (b) 20 (c) 48 (d) 49
  16. 16.What is the average of 50, 58, 38 and 46? (a) 48 (b) 49 (c) 64 (d) 47
  17. 17.A batter has an average of 28 runs in 7 matches. How many runs are needed in the next match to raise the average to 35? (a) 42 (b) 84 (c) 56 (d) 35
  18. 18.The average of 5 numbers is 30. When one number is taken away, the average of the rest is 34. Which number was taken away? (a) 14 (b) 15 (c) 30 (d) 64
  19. 19.What is the average of 88, 77, 69, 83 and 78? (a) 78 (b) 79 (c) 81 (d) 80
  20. 20.What is the average of 61, 57, 68, 51 and 58? (a) 59 (b) 60 (c) 58 (d) 61
  21. 21.What is the average of all the whole numbers from 14 to 50? (a) 33 (b) 32 (c) 18 (d) 36
  22. 22.A batter has an average of 28 runs in 7 matches. How many runs are needed in the next match to raise the average to 31? (a) 52 (b) 34 (c) 31 (d) 24
  23. 23.A batter has an average of 27 runs in 5 matches. How many runs are needed in the next match to raise the average to 33? (a) 33 (b) 63 (c) 36 (d) 39
  24. 24.What is the average of all the whole numbers from 22 to 42? (a) 10 (b) 33 (c) 20 (d) 32
  25. 25.A batter has an average of 23 runs in 7 matches. How many runs are needed in the next match to raise the average to 25? (a) 27 (b) 16 (c) 25 (d) 39
  26. 26.The average of 7 numbers is 46. When one number is taken away, the average of the rest is 44. Which number was taken away? (a) 46 (b) 90 (c) 14 (d) 58
  27. 27.What is the average of 26, 33, 31 and 46? (a) 33 (b) 35 (c) 34 (d) 36
  28. 28.What is the average of all the whole numbers from 39 to 49? (a) 10 (b) 5 (c) 45 (d) 44
  29. 29.The average of 7 numbers is 18. When one number is taken away, the average of the rest is 14. Which number was taken away? (a) 18 (b) 42 (c) 32 (d) 28
  30. 30.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 40? (a) 60 (b) 24 (c) 40 (d) 44
  31. 31.The average of 5 numbers is 20. When one number is taken away, the average of the rest is 15. Which number was taken away? (a) 35 (b) 40 (c) 25 (d) 20
  32. 32.What is the average of all the whole numbers from 9 to 33? (a) 24 (b) 22 (c) 12 (d) 21
  33. 33.What is the average of 57, 49, 53 and 33? (a) 47 (b) 48 (c) 49 (d) 64
  34. 34.What is the average of all the whole numbers from 45 to 53? (a) 49 (b) 8 (c) 4 (d) 50
  35. 35.What is the average of all the whole numbers from 42 to 50? (a) 4 (b) 47 (c) 8 (d) 46
  36. 36.The average of 5 numbers is 46. When one number is taken away, the average of the rest is 48. Which number was taken away? (a) 46 (b) 39 (c) 94 (d) 38
  37. 37.What is the average of all the whole numbers from 50 to 86? (a) 36 (b) 18 (c) 69 (d) 68
  38. 38.A batter has an average of 32 runs in 9 matches. How many runs are needed in the next match to raise the average to 36? (a) 73 (b) 40 (c) 36 (d) 72
  39. 39.What is the average of 75, 64, 73, 60 and 103? (a) 76 (b) 77 (c) 74 (d) 75
  40. 40.A batter has an average of 55 runs in 8 matches. How many runs are needed in the next match to raise the average to 57? (a) 73 (b) 18 (c) 57 (d) 59

Answer key

  1. 28
  2. 32
  3. 31
  4. 32
  5. 76
  6. 28
  7. 28
  8. 35
  9. 34
  10. 36
  11. 50
  12. 25
  13. 20
  14. 62
  15. 48
  16. 48
  17. 84
  18. 14
  19. 79
  20. 59
  21. 32
  22. 52
  23. 63
  24. 32
  25. 39
  26. 58
  27. 34
  28. 44
  29. 42
  30. 60
  31. 40
  32. 21
  33. 48
  34. 49
  35. 46
  36. 38
  37. 68
  38. 72
  39. 75
  40. 73

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