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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 53 · 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 all the whole numbers from 26 to 42? (a) 35 (b) 34 (c) 16 (d) 8
  2. 2.A batter has an average of 31 runs in 7 matches. How many runs are needed in the next match to raise the average to 35? (a) 32 (b) 63 (c) 39 (d) 35
  3. 3.What is the average of all the whole numbers from 21 to 61? (a) 20 (b) 40 (c) 41 (d) 42
  4. 4.What is the average of all the whole numbers from 14 to 40? (a) 28 (b) 26 (c) 27 (d) 13
  5. 5.The average of 5 numbers is 28. When one number is taken away, the average of the rest is 23. Which number was taken away? (a) 25 (b) 48 (c) 28 (d) 51
  6. 6.What is the average of all the whole numbers from 48 to 54? (a) 52 (b) 6 (c) 3 (d) 51
  7. 7.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 35? (a) 41 (b) 35 (c) 65 (d) 36
  8. 8.What is the average of 68, 82, 72, 64, 71 and 105? (a) 79 (b) 78 (c) 76 (d) 77
  9. 9.A batter has an average of 55 runs in 3 matches. How many runs are needed in the next match to raise the average to 57? (a) 63 (b) 59 (c) 8 (d) 57
  10. 10.The average of 7 numbers is 21. When one number is taken away, the average of the rest is 16. Which number was taken away? (a) 21 (b) 37 (c) 51 (d) 35
  11. 11.A batter has an average of 26 runs in 4 matches. How many runs are needed in the next match to raise the average to 29? (a) 29 (b) 15 (c) 41 (d) 32
  12. 12.What is the average of 15, 20, 21, 32 and 42? (a) 25 (b) 27 (c) 26 (d) 28
  13. 13.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 49? (a) 49 (b) 67 (c) 55 (d) 24
  14. 14.What is the average of 70, 83, 94, 83, 78 and 72? (a) 96 (b) 79 (c) 81 (d) 80
  15. 15.The average of 4 numbers is 16. When one number is taken away, the average of the rest is 15. Which number was taken away? (a) 4 (b) 16 (c) 31 (d) 19
  16. 16.What is the average of all the whole numbers from 10 to 42? (a) 16 (b) 32 (c) 27 (d) 26
  17. 17.The average of 7 numbers is 25. When one number is taken away, the average of the rest is 23. Which number was taken away? (a) 14 (b) 48 (c) 37 (d) 25
  18. 18.What is the average of 65, 52, 45 and 62? (a) 55 (b) 56 (c) 58 (d) 57
  19. 19.The average of 7 numbers is 40. When one number is taken away, the average of the rest is 37. Which number was taken away? (a) 58 (b) 77 (c) 21 (d) 40
  20. 20.A batter has an average of 55 runs in 4 matches. How many runs are needed in the next match to raise the average to 58? (a) 58 (b) 61 (c) 15 (d) 70
  21. 21.What is the average of all the whole numbers from 40 to 76? (a) 59 (b) 36 (c) 58 (d) 18
  22. 22.What is the average of all the whole numbers from 34 to 42? (a) 39 (b) 8 (c) 38 (d) 4
  23. 23.What is the average of 10, 14, 25, 21, 14 and 36? (a) 20 (b) 24 (c) 19 (d) 21
  24. 24.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) 23 (b) 44 (c) 14 (d) 35
  25. 25.What is the average of 52, 58, 73 and 57? (a) 60 (b) 59 (c) 61 (d) 80
  26. 26.A batter has an average of 38 runs in 7 matches. How many runs are needed in the next match to raise the average to 40? (a) 40 (b) 42 (c) 54 (d) 16
  27. 27.What is the average of 22, 9, 15 and 50? (a) 32 (b) 23 (c) 25 (d) 24
  28. 28.What is the average of 43, 57, 49, 54, 51 and 4? (a) 43 (b) 44 (c) 45 (d) 42
  29. 29.What is the average of all the whole numbers from 26 to 34? (a) 30 (b) 31 (c) 4 (d) 8
  30. 30.What is the average of 75, 86, 78, 71, 87 and 65? (a) 78 (b) 79 (c) 77 (d) 76
  31. 31.What is the average of 65, 66, 61 and 40? (a) 57 (b) 59 (c) 58 (d) 60
  32. 32.What is the average of 20, 46, 28, 33, 45 and 38? (a) 34 (b) 36 (c) 42 (d) 35
  33. 33.What is the average of 77, 65, 67, 68, 76 and 109? (a) 78 (b) 79 (c) 76 (d) 77
  34. 34.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 49? (a) 50 (b) 94 (c) 49 (d) 54
  35. 35.A batter has an average of 20 runs in 7 matches. How many runs are needed in the next match to raise the average to 25? (a) 25 (b) 30 (c) 40 (d) 60
  36. 36.The average of 7 numbers is 20. When one number is taken away, the average of the rest is 22. Which number was taken away? (a) 8 (b) 42 (c) 9 (d) 20
  37. 37.What is the average of 31, 38, 33, 29 and 74? (a) 40 (b) 41 (c) 43 (d) 42
  38. 38.A batter has an average of 39 runs in 6 matches. How many runs are needed in the next match to raise the average to 44? (a) 49 (b) 74 (c) 44 (d) 35
  39. 39.What is the average of all the whole numbers from 20 to 32? (a) 12 (b) 6 (c) 26 (d) 27
  40. 40.A batter has an average of 39 runs in 4 matches. How many runs are needed in the next match to raise the average to 45? (a) 51 (b) 69 (c) 45 (d) 30

Answer key

  1. 34
  2. 63
  3. 41
  4. 27
  5. 48
  6. 51
  7. 65
  8. 77
  9. 63
  10. 51
  11. 41
  12. 26
  13. 67
  14. 80
  15. 19
  16. 26
  17. 37
  18. 56
  19. 58
  20. 70
  21. 58
  22. 38
  23. 20
  24. 35
  25. 60
  26. 54
  27. 24
  28. 43
  29. 30
  30. 77
  31. 58
  32. 35
  33. 77
  34. 94
  35. 60
  36. 8
  37. 41
  38. 74
  39. 26
  40. 69

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