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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 46 · 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 38, 22, 30, 16, 29 and 15? (a) 25 (b) 30 (c) 24 (d) 26
  2. 2.What is the average of all the whole numbers from 57 to 77? (a) 67 (b) 68 (c) 10 (d) 20
  3. 3.The average of 8 numbers is 27. When one number is taken away, the average of the rest is 28. Which number was taken away? (a) 55 (b) 27 (c) 21 (d) 20
  4. 4.What is the average of all the whole numbers from 57 to 69? (a) 63 (b) 64 (c) 6 (d) 12
  5. 5.The average of 4 numbers is 18. When one number is taken away, the average of the rest is 17. Which number was taken away? (a) 18 (b) 21 (c) 35 (d) 4
  6. 6.What is the average of all the whole numbers from 38 to 56? (a) 9 (b) 18 (c) 48 (d) 47
  7. 7.What is the average of all the whole numbers from 31 to 45? (a) 38 (b) 39 (c) 14 (d) 7
  8. 8.What is the average of 38, 53, 44, 62, 46 and 51? (a) 50 (b) 51 (c) 49 (d) 48
  9. 9.What is the average of all the whole numbers from 44 to 72? (a) 28 (b) 14 (c) 59 (d) 58
  10. 10.What is the average of all the whole numbers from 11 to 23? (a) 18 (b) 17 (c) 12 (d) 6
  11. 11.What is the average of 71, 57, 76 and 48? (a) 84 (b) 62 (c) 63 (d) 64
  12. 12.What is the average of all the whole numbers from 52 to 74? (a) 63 (b) 64 (c) 22 (d) 11
  13. 13.What is the average of 8, 35, 14, 8 and 40? (a) 20 (b) 23 (c) 22 (d) 21
  14. 14.What is the average of 64, 83, 84, 74 and 60? (a) 72 (b) 73 (c) 74 (d) 75
  15. 15.What is the average of all the whole numbers from 15 to 45? (a) 29 (b) 15 (c) 30 (d) 31
  16. 16.What is the average of all the whole numbers from 37 to 57? (a) 47 (b) 48 (c) 20 (d) 10
  17. 17.What is the average of all the whole numbers from 59 to 75? (a) 8 (b) 16 (c) 67 (d) 68
  18. 18.A batter has an average of 25 runs in 4 matches. How many runs are needed in the next match to raise the average to 31? (a) 30 (b) 37 (c) 31 (d) 55
  19. 19.A batter has an average of 23 runs in 3 matches. How many runs are needed in the next match to raise the average to 26? (a) 35 (b) 12 (c) 29 (d) 26
  20. 20.What is the average of 65, 64, 85, 64, 66 and 106? (a) 90 (b) 76 (c) 74 (d) 75
  21. 21.What is the average of 40, 51, 52 and 73? (a) 55 (b) 54 (c) 53 (d) 72
  22. 22.A batter has an average of 29 runs in 6 matches. How many runs are needed in the next match to raise the average to 32? (a) 21 (b) 32 (c) 35 (d) 50
  23. 23.What is the average of 31, 23, 34, 49 and 33? (a) 36 (b) 34 (c) 35 (d) 33
  24. 24.The average of 4 numbers is 12. When one number is taken away, the average of the rest is 10. Which number was taken away? (a) 12 (b) 8 (c) 18 (d) 22
  25. 25.A batter has an average of 56 runs in 8 matches. How many runs are needed in the next match to raise the average to 58? (a) 60 (b) 74 (c) 58 (d) 18
  26. 26.The average of 6 numbers is 34. When one number is taken away, the average of the rest is 35. Which number was taken away? (a) 69 (b) 30 (c) 34 (d) 29
  27. 27.What is the average of 35, 47, 46, 23, 26 and 33? (a) 42 (b) 35 (c) 34 (d) 36
  28. 28.A batter has an average of 28 runs in 5 matches. How many runs are needed in the next match to raise the average to 31? (a) 18 (b) 31 (c) 34 (d) 46
  29. 29.A batter has an average of 46 runs in 8 matches. How many runs are needed in the next match to raise the average to 48? (a) 48 (b) 18 (c) 64 (d) 50
  30. 30.What is the average of all the whole numbers from 23 to 63? (a) 43 (b) 20 (c) 44 (d) 40
  31. 31.What is the average of 72, 74, 84 and 50? (a) 72 (b) 71 (c) 70 (d) 69
  32. 32.The average of 4 numbers is 17. When one number is taken away, the average of the rest is 22. Which number was taken away? (a) 39 (b) 3 (c) 2 (d) 17
  33. 33.A batter has an average of 41 runs in 5 matches. How many runs are needed in the next match to raise the average to 49? (a) 49 (b) 89 (c) 57 (d) 48
  34. 34.What is the average of all the whole numbers from 36 to 76? (a) 20 (b) 56 (c) 57 (d) 40
  35. 35.The average of 4 numbers is 13. When one number is taken away, the average of the rest is 17. Which number was taken away? (a) 13 (b) 30 (c) 2 (d) 1
  36. 36.What is the average of all the whole numbers from 31 to 61? (a) 46 (b) 30 (c) 47 (d) 15
  37. 37.The average of 8 numbers is 39. When one number is taken away, the average of the rest is 36. Which number was taken away? (a) 24 (b) 60 (c) 39 (d) 75
  38. 38.A batter has an average of 38 runs in 5 matches. How many runs are needed in the next match to raise the average to 44? (a) 50 (b) 74 (c) 36 (d) 44
  39. 39.A batter has an average of 39 runs in 8 matches. How many runs are needed in the next match to raise the average to 46? (a) 63 (b) 102 (c) 46 (d) 53
  40. 40.What is the average of all the whole numbers from 7 to 41? (a) 25 (b) 17 (c) 34 (d) 24

Answer key

  1. 25
  2. 67
  3. 20
  4. 63
  5. 21
  6. 47
  7. 38
  8. 49
  9. 58
  10. 17
  11. 63
  12. 63
  13. 21
  14. 73
  15. 30
  16. 47
  17. 67
  18. 55
  19. 35
  20. 75
  21. 54
  22. 50
  23. 34
  24. 18
  25. 74
  26. 29
  27. 35
  28. 46
  29. 64
  30. 43
  31. 70
  32. 2
  33. 89
  34. 56
  35. 1
  36. 46
  37. 60
  38. 74
  39. 102
  40. 24

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