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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 223 · 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 5 numbers is 50. When one number is taken away, the average of the rest is 48. Which number was taken away? (a) 50 (b) 58 (c) 10 (d) 98
  2. 2.What is the average of all the whole numbers from 37 to 71? (a) 17 (b) 54 (c) 34 (d) 55
  3. 3.A batter has an average of 45 runs in 6 matches. How many runs are needed in the next match to raise the average to 50? (a) 80 (b) 55 (c) 35 (d) 50
  4. 4.The average of 4 numbers is 17. When one number is taken away, the average of the rest is 13. Which number was taken away? (a) 29 (b) 16 (c) 30 (d) 17
  5. 5.What is the average of all the whole numbers from 23 to 35? (a) 6 (b) 29 (c) 12 (d) 30
  6. 6.What is the average of all the whole numbers from 46 to 84? (a) 19 (b) 38 (c) 66 (d) 65
  7. 7.A batter has an average of 33 runs in 5 matches. How many runs are needed in the next match to raise the average to 40? (a) 47 (b) 40 (c) 75 (d) 42
  8. 8.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) 34 (c) 38 (d) 50
  9. 9.What is the average of 74, 62, 78, 78, 75 and 59? (a) 70 (b) 72 (c) 73 (d) 71
  10. 10.What is the average of 26, 28, 34 and 52? (a) 36 (b) 37 (c) 35 (d) 34
  11. 11.A batter has an average of 57 runs in 8 matches. How many runs are needed in the next match to raise the average to 63? (a) 69 (b) 54 (c) 111 (d) 63
  12. 12.What is the average of all the whole numbers from 57 to 93? (a) 18 (b) 76 (c) 36 (d) 75
  13. 13.What is the average of 64, 67, 80, 74, 72 and 39? (a) 67 (b) 66 (c) 68 (d) 65
  14. 14.What is the average of 84, 68, 63, 66, 78 and 109? (a) 79 (b) 77 (c) 78 (d) 80
  15. 15.What is the average of all the whole numbers from 58 to 84? (a) 71 (b) 72 (c) 26 (d) 13
  16. 16.What is the average of all the whole numbers from 56 to 76? (a) 66 (b) 67 (c) 20 (d) 10
  17. 17.The average of 6 numbers is 19. When one number is taken away, the average of the rest is 22. Which number was taken away? (a) 41 (b) 5 (c) 19 (d) 4
  18. 18.What is the average of 51, 68, 67 and 50? (a) 61 (b) 58 (c) 60 (d) 59
  19. 19.The average of 4 numbers is 18. When one number is taken away, the average of the rest is 21. Which number was taken away? (a) 9 (b) 18 (c) 10 (d) 39
  20. 20.A batter has an average of 37 runs in 4 matches. How many runs are needed in the next match to raise the average to 43? (a) 49 (b) 30 (c) 43 (d) 67
  21. 21.What is the average of all the whole numbers from 51 to 63? (a) 6 (b) 57 (c) 58 (d) 12
  22. 22.A batter has an average of 58 runs in 5 matches. How many runs are needed in the next match to raise the average to 60? (a) 60 (b) 70 (c) 62 (d) 12
  23. 23.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 34? (a) 16 (b) 36 (c) 48 (d) 34
  24. 24.What is the average of all the whole numbers from 9 to 21? (a) 12 (b) 6 (c) 16 (d) 15
  25. 25.The average of 5 numbers is 35. When one number is taken away, the average of the rest is 37. Which number was taken away? (a) 72 (b) 27 (c) 35 (d) 28
  26. 26.What is the average of 69, 55, 76, 57, 59 and 74? (a) 78 (b) 65 (c) 64 (d) 66
  27. 27.What is the average of all the whole numbers from 30 to 40? (a) 35 (b) 10 (c) 5 (d) 36
  28. 28.What is the average of 70, 92, 83, 65, 69 and 83? (a) 79 (b) 77 (c) 76 (d) 78
  29. 29.A batter has an average of 49 runs in 4 matches. How many runs are needed in the next match to raise the average to 57? (a) 57 (b) 65 (c) 40 (d) 89
  30. 30.A batter has an average of 47 runs in 4 matches. How many runs are needed in the next match to raise the average to 55? (a) 55 (b) 40 (c) 63 (d) 87
  31. 31.A batter has an average of 26 runs in 3 matches. How many runs are needed in the next match to raise the average to 32? (a) 24 (b) 32 (c) 50 (d) 38
  32. 32.The average of 4 numbers is 21. When one number is taken away, the average of the rest is 26. Which number was taken away? (a) 47 (b) 7 (c) 6 (d) 21
  33. 33.The average of 4 numbers is 44. When one number is taken away, the average of the rest is 42. Which number was taken away? (a) 44 (b) 50 (c) 8 (d) 86
  34. 34.What is the average of all the whole numbers from 56 to 64? (a) 8 (b) 4 (c) 61 (d) 60
  35. 35.What is the average of 42, 28, 38 and 36? (a) 35 (b) 36 (c) 48 (d) 37
  36. 36.A batter has an average of 31 runs in 6 matches. How many runs are needed in the next match to raise the average to 36? (a) 35 (b) 66 (c) 41 (d) 36
  37. 37.The average of 7 numbers is 16. When one number is taken away, the average of the rest is 15. Which number was taken away? (a) 7 (b) 16 (c) 22 (d) 31
  38. 38.What is the average of 51, 50, 58 and 73? (a) 59 (b) 58 (c) 57 (d) 60
  39. 39.What is the average of all the whole numbers from 22 to 38? (a) 31 (b) 16 (c) 30 (d) 8
  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 31? (a) 70 (b) 38 (c) 31 (d) 94

Answer key

  1. 58
  2. 54
  3. 80
  4. 29
  5. 29
  6. 65
  7. 75
  8. 50
  9. 71
  10. 35
  11. 111
  12. 75
  13. 66
  14. 78
  15. 71
  16. 66
  17. 4
  18. 59
  19. 9
  20. 67
  21. 57
  22. 70
  23. 48
  24. 15
  25. 27
  26. 65
  27. 35
  28. 77
  29. 89
  30. 87
  31. 50
  32. 6
  33. 50
  34. 60
  35. 36
  36. 66
  37. 22
  38. 58
  39. 30
  40. 94

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