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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 915 · 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 37. When one number is taken away, the average of the rest is 35. Which number was taken away? (a) 8 (b) 72 (c) 37 (d) 43
  2. 2.What is the average of all the whole numbers from 46 to 68? (a) 22 (b) 11 (c) 58 (d) 57
  3. 3.What is the average of all the whole numbers from 9 to 25? (a) 17 (b) 8 (c) 16 (d) 18
  4. 4.What is the average of 69, 74, 79 and 78? (a) 100 (b) 74 (c) 76 (d) 75
  5. 5.The average of 7 numbers is 17. When one number is taken away, the average of the rest is 18. Which number was taken away? (a) 11 (b) 17 (c) 35 (d) 12
  6. 6.What is the average of all the whole numbers from 57 to 91? (a) 34 (b) 74 (c) 17 (d) 75
  7. 7.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 35? (a) 59 (b) 43 (c) 35 (d) 32
  8. 8.What is the average of 75, 76, 76 and 21? (a) 63 (b) 62 (c) 61 (d) 64
  9. 9.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 63? (a) 12 (b) 66 (c) 72 (d) 63
  10. 10.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 31? (a) 32 (b) 39 (c) 31 (d) 55
  11. 11.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 67? (a) 74 (b) 88 (c) 67 (d) 28
  12. 12.The average of 5 numbers is 29. When one number is taken away, the average of the rest is 30. Which number was taken away? (a) 29 (b) 59 (c) 25 (d) 26
  13. 13.What is the average of all the whole numbers from 56 to 76? (a) 67 (b) 10 (c) 20 (d) 66
  14. 14.What is the average of 28, 17, 25, 24 and 21? (a) 22 (b) 25 (c) 23 (d) 24
  15. 15.A batter has an average of 47 runs in 7 matches. How many runs are needed in the next match to raise the average to 50? (a) 50 (b) 71 (c) 24 (d) 53
  16. 16.What is the average of all the whole numbers from 29 to 69? (a) 50 (b) 40 (c) 20 (d) 49
  17. 17.What is the average of 45, 56, 61, 68 and 55? (a) 57 (b) 56 (c) 59 (d) 58
  18. 18.What is the average of all the whole numbers from 12 to 24? (a) 6 (b) 18 (c) 19 (d) 12
  19. 19.What is the average of 41, 28, 40, 28 and 78? (a) 44 (b) 43 (c) 42 (d) 45
  20. 20.The average of 5 numbers is 46. When one number is taken away, the average of the rest is 43. Which number was taken away? (a) 46 (b) 89 (c) 58 (d) 15
  21. 21.What is the average of all the whole numbers from 10 to 22? (a) 6 (b) 16 (c) 12 (d) 17
  22. 22.The average of 6 numbers is 24. When one number is taken away, the average of the rest is 20. Which number was taken away? (a) 45 (b) 24 (c) 43 (d) 44
  23. 23.A batter has an average of 60 runs in 5 matches. How many runs are needed in the next match to raise the average to 63? (a) 63 (b) 66 (c) 78 (d) 18
  24. 24.The average of 5 numbers is 32. When one number is taken away, the average of the rest is 30. Which number was taken away? (a) 32 (b) 10 (c) 40 (d) 62
  25. 25.What is the average of 14, 14, 7, 29 and 36? (a) 21 (b) 19 (c) 25 (d) 20
  26. 26.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 56? (a) 84 (b) 32 (c) 60 (d) 56
  27. 27.What is the average of all the whole numbers from 38 to 52? (a) 45 (b) 14 (c) 7 (d) 46
  28. 28.A batter has an average of 22 runs in 7 matches. How many runs are needed in the next match to raise the average to 24? (a) 16 (b) 26 (c) 24 (d) 38
  29. 29.What is the average of 75, 56, 59, 70 and 80? (a) 68 (b) 67 (c) 85 (d) 69
  30. 30.What is the average of all the whole numbers from 8 to 26? (a) 17 (b) 16 (c) 9 (d) 18
  31. 31.What is the average of all the whole numbers from 16 to 24? (a) 21 (b) 20 (c) 8 (d) 4
  32. 32.What is the average of 48, 54, 26, 55 and 22? (a) 43 (b) 40 (c) 41 (d) 42
  33. 33.The average of 7 numbers is 37. When one number is taken away, the average of the rest is 35. Which number was taken away? (a) 37 (b) 14 (c) 49 (d) 72
  34. 34.The average of 7 numbers is 34. When one number is taken away, the average of the rest is 32. Which number was taken away? (a) 34 (b) 14 (c) 66 (d) 46
  35. 35.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 53? (a) 60 (b) 109 (c) 53 (d) 63
  36. 36.The average of 4 numbers is 21. When one number is taken away, the average of the rest is 20. Which number was taken away? (a) 24 (b) 41 (c) 21 (d) 4
  37. 37.What is the average of 58, 35, 40 and 59? (a) 47 (b) 64 (c) 48 (d) 49
  38. 38.What is the average of 71, 89, 85, 74, 86 and 45? (a) 76 (b) 74 (c) 90 (d) 75
  39. 39.What is the average of 36, 16, 32 and 12? (a) 23 (b) 32 (c) 25 (d) 24
  40. 40.What is the average of 63, 71, 42, 50, 63 and 47? (a) 55 (b) 58 (c) 56 (d) 57

Answer key

  1. 43
  2. 57
  3. 17
  4. 75
  5. 11
  6. 74
  7. 59
  8. 62
  9. 72
  10. 55
  11. 88
  12. 25
  13. 66
  14. 23
  15. 71
  16. 49
  17. 57
  18. 18
  19. 43
  20. 58
  21. 16
  22. 44
  23. 78
  24. 40
  25. 20
  26. 84
  27. 45
  28. 38
  29. 68
  30. 17
  31. 20
  32. 41
  33. 49
  34. 46
  35. 109
  36. 24
  37. 48
  38. 75
  39. 24
  40. 56

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