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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 169 · 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 4 numbers is 32. When one number is taken away, the average of the rest is 34. Which number was taken away? (a) 26 (b) 66 (c) 27 (d) 32
  2. 2.What is the average of 67, 56, 80, 76, 60 and 75? (a) 68 (b) 70 (c) 69 (d) 71
  3. 3.The average of 4 numbers is 34. When one number is taken away, the average of the rest is 29. Which number was taken away? (a) 34 (b) 63 (c) 20 (d) 49
  4. 4.What is the average of 69, 80, 73 and 54? (a) 69 (b) 68 (c) 70 (d) 92
  5. 5.What is the average of 67, 71, 57 and 53? (a) 63 (b) 62 (c) 64 (d) 61
  6. 6.What is the average of 22, 31, 30, 29 and 48? (a) 33 (b) 31 (c) 32 (d) 40
  7. 7.What is the average of all the whole numbers from 6 to 20? (a) 14 (b) 12 (c) 13 (d) 7
  8. 8.A batter has an average of 45 runs in 4 matches. How many runs are needed in the next match to raise the average to 48? (a) 51 (b) 15 (c) 60 (d) 48
  9. 9.The average of 4 numbers is 42. When one number is taken away, the average of the rest is 44. Which number was taken away? (a) 37 (b) 42 (c) 36 (d) 86
  10. 10.What is the average of 65, 77, 74, 74, 64 and 102? (a) 75 (b) 78 (c) 77 (d) 76
  11. 11.What is the average of 62, 47, 68, 62, 48 and 31? (a) 52 (b) 53 (c) 54 (d) 55
  12. 12.What is the average of 73, 49, 48, 47 and 78? (a) 58 (b) 59 (c) 60 (d) 61
  13. 13.What is the average of all the whole numbers from 10 to 38? (a) 14 (b) 28 (c) 25 (d) 24
  14. 14.The average of 5 numbers is 35. When one number is taken away, the average of the rest is 31. Which number was taken away? (a) 35 (b) 20 (c) 66 (d) 51
  15. 15.What is the average of 54, 54, 31 and 21? (a) 39 (b) 41 (c) 42 (d) 40
  16. 16.A batter has an average of 30 runs in 3 matches. How many runs are needed in the next match to raise the average to 33? (a) 36 (b) 12 (c) 42 (d) 33
  17. 17.A batter has an average of 44 runs in 7 matches. How many runs are needed in the next match to raise the average to 46? (a) 46 (b) 16 (c) 48 (d) 60
  18. 18.What is the average of 44, 43, 71, 54, 44 and 86? (a) 57 (b) 58 (c) 56 (d) 59
  19. 19.What is the average of 29, 37, 36, 19, 33 and 20? (a) 28 (b) 31 (c) 30 (d) 29
  20. 20.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) 22 (b) 3 (c) 10 (d) 2
  21. 21.What is the average of all the whole numbers from 21 to 37? (a) 16 (b) 29 (c) 30 (d) 8
  22. 22.The average of 7 numbers is 23. When one number is taken away, the average of the rest is 21. Which number was taken away? (a) 35 (b) 23 (c) 44 (d) 14
  23. 23.A batter has an average of 41 runs in 4 matches. How many runs are needed in the next match to raise the average to 47? (a) 47 (b) 71 (c) 30 (d) 53
  24. 24.What is the average of all the whole numbers from 23 to 41? (a) 18 (b) 9 (c) 33 (d) 32
  25. 25.What is the average of 44, 59, 42 and 63? (a) 54 (b) 53 (c) 51 (d) 52
  26. 26.A batter has an average of 29 runs in 5 matches. How many runs are needed in the next match to raise the average to 31? (a) 41 (b) 31 (c) 12 (d) 33
  27. 27.A batter has an average of 52 runs in 7 matches. How many runs are needed in the next match to raise the average to 55? (a) 58 (b) 24 (c) 55 (d) 76
  28. 28.What is the average of 21, 29, 26 and 28? (a) 28 (b) 26 (c) 27 (d) 25
  29. 29.A batter has an average of 41 runs in 9 matches. How many runs are needed in the next match to raise the average to 49? (a) 57 (b) 80 (c) 121 (d) 49
  30. 30.What is the average of 30, 19, 12, 39, 12 and 50? (a) 26 (b) 29 (c) 28 (d) 27
  31. 31.What is the average of all the whole numbers from 52 to 76? (a) 65 (b) 64 (c) 12 (d) 24
  32. 32.A batter has an average of 30 runs in 6 matches. How many runs are needed in the next match to raise the average to 38? (a) 46 (b) 86 (c) 38 (d) 56
  33. 33.A batter has an average of 60 runs in 3 matches. How many runs are needed in the next match to raise the average to 68? (a) 32 (b) 68 (c) 92 (d) 76
  34. 34.The average of 5 numbers is 37. When one number is taken away, the average of the rest is 32. Which number was taken away? (a) 25 (b) 69 (c) 37 (d) 57
  35. 35.What is the average of all the whole numbers from 36 to 66? (a) 52 (b) 51 (c) 15 (d) 30
  36. 36.What is the average of all the whole numbers from 18 to 46? (a) 14 (b) 32 (c) 28 (d) 33
  37. 37.What is the average of 32, 47, 50, 54 and 42? (a) 46 (b) 45 (c) 47 (d) 44
  38. 38.A batter has an average of 45 runs in 3 matches. How many runs are needed in the next match to raise the average to 49? (a) 16 (b) 61 (c) 53 (d) 49
  39. 39.What is the average of all the whole numbers from 35 to 61? (a) 13 (b) 48 (c) 49 (d) 26
  40. 40.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 59? (a) 8 (b) 59 (c) 65 (d) 61

Answer key

  1. 26
  2. 69
  3. 49
  4. 69
  5. 62
  6. 32
  7. 13
  8. 60
  9. 36
  10. 76
  11. 53
  12. 59
  13. 24
  14. 51
  15. 40
  16. 42
  17. 60
  18. 57
  19. 29
  20. 2
  21. 29
  22. 35
  23. 71
  24. 32
  25. 52
  26. 41
  27. 76
  28. 26
  29. 121
  30. 27
  31. 64
  32. 86
  33. 92
  34. 57
  35. 51
  36. 32
  37. 45
  38. 61
  39. 48
  40. 65

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