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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 945 · 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 45 to 81? (a) 18 (b) 63 (c) 36 (d) 64
  2. 2.What is the average of 59, 72, 52, 63 and 74? (a) 80 (b) 64 (c) 63 (d) 65
  3. 3.What is the average of all the whole numbers from 44 to 70? (a) 13 (b) 58 (c) 26 (d) 57
  4. 4.What is the average of 37, 42, 55, 61, 40 and 53? (a) 49 (b) 47 (c) 50 (d) 48
  5. 5.What is the average of 59, 48, 70 and 75? (a) 84 (b) 62 (c) 63 (d) 64
  6. 6.A batter has an average of 38 runs in 8 matches. How many runs are needed in the next match to raise the average to 44? (a) 50 (b) 44 (c) 92 (d) 54
  7. 7.The average of 6 numbers is 49. When one number is taken away, the average of the rest is 47. Which number was taken away? (a) 12 (b) 96 (c) 59 (d) 49
  8. 8.What is the average of 40, 64, 48, 44 and 79? (a) 57 (b) 55 (c) 54 (d) 56
  9. 9.A batter has an average of 43 runs in 9 matches. How many runs are needed in the next match to raise the average to 50? (a) 70 (b) 113 (c) 57 (d) 50
  10. 10.What is the average of all the whole numbers from 10 to 34? (a) 24 (b) 12 (c) 23 (d) 22
  11. 11.What is the average of 30, 42, 41 and 35? (a) 36 (b) 38 (c) 37 (d) 39
  12. 12.What is the average of all the whole numbers from 7 to 33? (a) 21 (b) 26 (c) 20 (d) 13
  13. 13.What is the average of 22, 35, 41 and 30? (a) 31 (b) 32 (c) 34 (d) 33
  14. 14.What is the average of all the whole numbers from 48 to 74? (a) 62 (b) 13 (c) 61 (d) 26
  15. 15.The average of 5 numbers is 12. When one number is taken away, the average of the rest is 13. Which number was taken away? (a) 25 (b) 9 (c) 8 (d) 12
  16. 16.What is the average of 77, 72, 65 and 46? (a) 66 (b) 65 (c) 67 (d) 64
  17. 17.The average of 7 numbers is 45. When one number is taken away, the average of the rest is 42. Which number was taken away? (a) 45 (b) 87 (c) 21 (d) 63
  18. 18.What is the average of 58, 69, 69, 72, 58 and 94? (a) 69 (b) 84 (c) 70 (d) 71
  19. 19.What is the average of 40, 42, 40 and 34? (a) 52 (b) 40 (c) 38 (d) 39
  20. 20.What is the average of all the whole numbers from 41 to 77? (a) 59 (b) 18 (c) 36 (d) 60
  21. 21.What is the average of 49, 36, 46, 49, 52 and 8? (a) 48 (b) 41 (c) 39 (d) 40
  22. 22.What is the average of 23, 40, 30, 30 and 67? (a) 38 (b) 37 (c) 39 (d) 40
  23. 23.The average of 6 numbers is 49. When one number is taken away, the average of the rest is 48. Which number was taken away? (a) 97 (b) 6 (c) 49 (d) 54
  24. 24.What is the average of 66, 43, 36 and 59? (a) 51 (b) 50 (c) 68 (d) 52
  25. 25.A batter has an average of 58 runs in 4 matches. How many runs are needed in the next match to raise the average to 64? (a) 64 (b) 88 (c) 30 (d) 70
  26. 26.The average of 6 numbers is 30. When one number is taken away, the average of the rest is 33. Which number was taken away? (a) 15 (b) 16 (c) 63 (d) 30
  27. 27.A batter has an average of 49 runs in 9 matches. How many runs are needed in the next match to raise the average to 52? (a) 79 (b) 30 (c) 55 (d) 52
  28. 28.The average of 8 numbers is 27. When one number is taken away, the average of the rest is 30. Which number was taken away? (a) 27 (b) 6 (c) 7 (d) 57
  29. 29.What is the average of all the whole numbers from 54 to 72? (a) 9 (b) 18 (c) 64 (d) 63
  30. 30.What is the average of 17, 25, 14, 29, 30 and 35? (a) 24 (b) 25 (c) 26 (d) 30
  31. 31.What is the average of 60, 46, 35 and 47? (a) 46 (b) 47 (c) 48 (d) 49
  32. 32.What is the average of 72, 69, 48 and 39? (a) 58 (b) 57 (c) 76 (d) 56
  33. 33.What is the average of all the whole numbers from 56 to 90? (a) 74 (b) 34 (c) 73 (d) 17
  34. 34.The average of 7 numbers is 26. When one number is taken away, the average of the rest is 25. Which number was taken away? (a) 51 (b) 7 (c) 32 (d) 26
  35. 35.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) 42 (b) 54 (c) 16 (d) 40
  36. 36.What is the average of 69, 69, 57, 74 and 31? (a) 75 (b) 61 (c) 59 (d) 60
  37. 37.A batter has an average of 45 runs in 9 matches. How many runs are needed in the next match to raise the average to 49? (a) 49 (b) 40 (c) 85 (d) 53
  38. 38.The average of 7 numbers is 16. When one number is taken away, the average of the rest is 13. Which number was taken away? (a) 21 (b) 29 (c) 34 (d) 16
  39. 39.A batter has an average of 32 runs in 9 matches. How many runs are needed in the next match to raise the average to 36? (a) 72 (b) 73 (c) 40 (d) 36
  40. 40.A batter has an average of 58 runs in 7 matches. How many runs are needed in the next match to raise the average to 61? (a) 61 (b) 82 (c) 24 (d) 64

Answer key

  1. 63
  2. 64
  3. 57
  4. 48
  5. 63
  6. 92
  7. 59
  8. 55
  9. 113
  10. 22
  11. 37
  12. 20
  13. 32
  14. 61
  15. 8
  16. 65
  17. 63
  18. 70
  19. 39
  20. 59
  21. 40
  22. 38
  23. 54
  24. 51
  25. 88
  26. 15
  27. 79
  28. 6
  29. 63
  30. 25
  31. 47
  32. 57
  33. 73
  34. 32
  35. 54
  36. 60
  37. 85
  38. 34
  39. 72
  40. 82

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