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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 686 · 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.What is the average of 58, 38, 62 and 46? (a) 52 (b) 68 (c) 51 (d) 50
  2. 2.What is the average of 16, 22, 43, 18, 37 and 50? (a) 33 (b) 31 (c) 32 (d) 30
  3. 3.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) 27 (b) 26 (c) 32 (d) 66
  4. 4.What is the average of all the whole numbers from 29 to 57? (a) 43 (b) 28 (c) 44 (d) 14
  5. 5.The average of 5 numbers is 27. When one number is taken away, the average of the rest is 32. Which number was taken away? (a) 59 (b) 27 (c) 7 (d) 8
  6. 6.What is the average of 32, 47, 42 and 23? (a) 36 (b) 37 (c) 35 (d) 48
  7. 7.What is the average of 61, 55, 51, 63 and 50? (a) 57 (b) 70 (c) 56 (d) 55
  8. 8.A batter has an average of 37 runs in 3 matches. How many runs are needed in the next match to raise the average to 40? (a) 49 (b) 12 (c) 43 (d) 40
  9. 9.What is the average of all the whole numbers from 14 to 44? (a) 29 (b) 15 (c) 28 (d) 30
  10. 10.A batter has an average of 44 runs in 9 matches. How many runs are needed in the next match to raise the average to 51? (a) 51 (b) 70 (c) 114 (d) 58
  11. 11.The average of 4 numbers is 19. When one number is taken away, the average of the rest is 14. Which number was taken away? (a) 20 (b) 34 (c) 19 (d) 33
  12. 12.What is the average of all the whole numbers from 6 to 38? (a) 22 (b) 23 (c) 32 (d) 16
  13. 13.What is the average of all the whole numbers from 60 to 78? (a) 18 (b) 70 (c) 69 (d) 9
  14. 14.A batter has an average of 35 runs in 6 matches. How many runs are needed in the next match to raise the average to 39? (a) 63 (b) 43 (c) 28 (d) 39
  15. 15.The average of 6 numbers is 29. When one number is taken away, the average of the rest is 30. Which number was taken away? (a) 59 (b) 29 (c) 24 (d) 25
  16. 16.What is the average of 18, 18, 29, 18 and 57? (a) 27 (b) 35 (c) 29 (d) 28
  17. 17.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 53? (a) 30 (b) 77 (c) 59 (d) 53
  18. 18.What is the average of 20, 35, 18, 16, 13 and 66? (a) 29 (b) 27 (c) 30 (d) 28
  19. 19.What is the average of all the whole numbers from 58 to 64? (a) 61 (b) 3 (c) 6 (d) 62
  20. 20.What is the average of all the whole numbers from 53 to 67? (a) 7 (b) 60 (c) 61 (d) 14
  21. 21.What is the average of all the whole numbers from 49 to 63? (a) 57 (b) 7 (c) 14 (d) 56
  22. 22.A batter has an average of 54 runs in 4 matches. How many runs are needed in the next match to raise the average to 57? (a) 57 (b) 15 (c) 69 (d) 60
  23. 23.What is the average of all the whole numbers from 54 to 70? (a) 63 (b) 16 (c) 62 (d) 8
  24. 24.The average of 4 numbers is 15. When one number is taken away, the average of the rest is 11. Which number was taken away? (a) 16 (b) 15 (c) 26 (d) 27
  25. 25.A batter has an average of 34 runs in 5 matches. How many runs are needed in the next match to raise the average to 38? (a) 58 (b) 42 (c) 24 (d) 38
  26. 26.A batter has an average of 27 runs in 3 matches. How many runs are needed in the next match to raise the average to 30? (a) 12 (b) 39 (c) 33 (d) 30
  27. 27.What is the average of all the whole numbers from 20 to 48? (a) 34 (b) 14 (c) 35 (d) 28
  28. 28.A batter has an average of 55 runs in 9 matches. How many runs are needed in the next match to raise the average to 62? (a) 70 (b) 69 (c) 62 (d) 125
  29. 29.A batter has an average of 43 runs in 3 matches. How many runs are needed in the next match to raise the average to 47? (a) 51 (b) 16 (c) 59 (d) 47
  30. 30.What is the average of all the whole numbers from 5 to 13? (a) 4 (b) 9 (c) 10 (d) 8
  31. 31.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) 98 (b) 50 (c) 62 (d) 14
  32. 32.What is the average of all the whole numbers from 26 to 40? (a) 7 (b) 33 (c) 14 (d) 34
  33. 33.The average of 8 numbers is 40. When one number is taken away, the average of the rest is 42. Which number was taken away? (a) 82 (b) 40 (c) 27 (d) 26
  34. 34.What is the average of all the whole numbers from 58 to 70? (a) 65 (b) 6 (c) 12 (d) 64
  35. 35.What is the average of all the whole numbers from 15 to 29? (a) 23 (b) 7 (c) 14 (d) 22
  36. 36.What is the average of all the whole numbers from 15 to 43? (a) 28 (b) 14 (c) 30 (d) 29
  37. 37.A batter has an average of 51 runs in 8 matches. How many runs are needed in the next match to raise the average to 53? (a) 18 (b) 69 (c) 53 (d) 55
  38. 38.What is the average of 71, 63, 54 and 56? (a) 61 (b) 62 (c) 63 (d) 60
  39. 39.The average of 4 numbers is 27. When one number is taken away, the average of the rest is 23. Which number was taken away? (a) 39 (b) 16 (c) 27 (d) 50
  40. 40.What is the average of all the whole numbers from 58 to 74? (a) 8 (b) 16 (c) 66 (d) 67

Answer key

  1. 51
  2. 31
  3. 26
  4. 43
  5. 7
  6. 36
  7. 56
  8. 49
  9. 29
  10. 114
  11. 34
  12. 22
  13. 69
  14. 63
  15. 24
  16. 28
  17. 77
  18. 28
  19. 61
  20. 60
  21. 56
  22. 69
  23. 62
  24. 27
  25. 58
  26. 39
  27. 34
  28. 125
  29. 59
  30. 9
  31. 62
  32. 33
  33. 26
  34. 64
  35. 22
  36. 29
  37. 69
  38. 61
  39. 39
  40. 66

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