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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 245 · 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 5 numbers is 37. When one number is taken away, the average of the rest is 38. Which number was taken away? (a) 37 (b) 33 (c) 75 (d) 34
  2. 2.What is the average of all the whole numbers from 49 to 61? (a) 55 (b) 6 (c) 56 (d) 12
  3. 3.What is the average of all the whole numbers from 42 to 48? (a) 45 (b) 6 (c) 3 (d) 46
  4. 4.What is the average of all the whole numbers from 33 to 59? (a) 13 (b) 47 (c) 46 (d) 26
  5. 5.What is the average of all the whole numbers from 13 to 29? (a) 21 (b) 8 (c) 16 (d) 22
  6. 6.What is the average of all the whole numbers from 44 to 84? (a) 20 (b) 65 (c) 40 (d) 64
  7. 7.What is the average of 87, 68, 87 and 70? (a) 104 (b) 79 (c) 78 (d) 77
  8. 8.A batter has an average of 44 runs in 7 matches. How many runs are needed in the next match to raise the average to 47? (a) 47 (b) 50 (c) 24 (d) 68
  9. 9.What is the average of 14, 22, 34, 12 and 53? (a) 27 (b) 26 (c) 28 (d) 29
  10. 10.What is the average of 59, 38, 58, 31, 54 and 24? (a) 46 (b) 44 (c) 45 (d) 43
  11. 11.What is the average of all the whole numbers from 42 to 78? (a) 61 (b) 18 (c) 36 (d) 60
  12. 12.What is the average of all the whole numbers from 25 to 31? (a) 28 (b) 3 (c) 6 (d) 29
  13. 13.What is the average of all the whole numbers from 38 to 64? (a) 52 (b) 51 (c) 13 (d) 26
  14. 14.The average of 8 numbers is 43. When one number is taken away, the average of the rest is 46. Which number was taken away? (a) 89 (b) 22 (c) 23 (d) 43
  15. 15.A batter has an average of 53 runs in 3 matches. How many runs are needed in the next match to raise the average to 55? (a) 57 (b) 8 (c) 55 (d) 61
  16. 16.The average of 5 numbers is 33. When one number is taken away, the average of the rest is 28. Which number was taken away? (a) 25 (b) 53 (c) 33 (d) 61
  17. 17.What is the average of 42, 61, 56, 58 and 18? (a) 48 (b) 47 (c) 46 (d) 49
  18. 18.A batter has an average of 40 runs in 8 matches. How many runs are needed in the next match to raise the average to 42? (a) 18 (b) 58 (c) 44 (d) 42
  19. 19.The average of 6 numbers is 32. When one number is taken away, the average of the rest is 28. Which number was taken away? (a) 32 (b) 52 (c) 24 (d) 60
  20. 20.A batter has an average of 37 runs in 5 matches. How many runs are needed in the next match to raise the average to 43? (a) 36 (b) 49 (c) 73 (d) 43
  21. 21.What is the average of all the whole numbers from 15 to 55? (a) 20 (b) 36 (c) 35 (d) 40
  22. 22.What is the average of 59, 75, 83 and 59? (a) 70 (b) 92 (c) 69 (d) 68
  23. 23.What is the average of 21, 45, 36, 24, 22 and 68? (a) 36 (b) 37 (c) 35 (d) 38
  24. 24.The average of 6 numbers is 10. When one number is taken away, the average of the rest is 5. Which number was taken away? (a) 15 (b) 35 (c) 10 (d) 30
  25. 25.What is the average of 56, 36, 37 and 63? (a) 64 (b) 47 (c) 48 (d) 49
  26. 26.A batter has an average of 20 runs in 9 matches. How many runs are needed in the next match to raise the average to 24? (a) 28 (b) 40 (c) 24 (d) 60
  27. 27.What is the average of 56, 59, 64 and 65? (a) 62 (b) 63 (c) 61 (d) 60
  28. 28.A batter has an average of 42 runs in 3 matches. How many runs are needed in the next match to raise the average to 46? (a) 16 (b) 50 (c) 46 (d) 58
  29. 29.What is the average of all the whole numbers from 58 to 98? (a) 20 (b) 79 (c) 40 (d) 78
  30. 30.The average of 8 numbers is 26. When one number is taken away, the average of the rest is 21. Which number was taken away? (a) 26 (b) 40 (c) 61 (d) 47
  31. 31.A batter has an average of 56 runs in 4 matches. How many runs are needed in the next match to raise the average to 63? (a) 63 (b) 91 (c) 35 (d) 70
  32. 32.What is the average of all the whole numbers from 36 to 76? (a) 57 (b) 56 (c) 20 (d) 40
  33. 33.What is the average of 12, 31, 21, 30 and 16? (a) 24 (b) 23 (c) 22 (d) 21
  34. 34.A batter has an average of 30 runs in 9 matches. How many runs are needed in the next match to raise the average to 33? (a) 33 (b) 36 (c) 60 (d) 30
  35. 35.What is the average of 28, 21, 15, 28 and 48? (a) 35 (b) 29 (c) 28 (d) 27
  36. 36.The average of 5 numbers is 20. When one number is taken away, the average of the rest is 17. Which number was taken away? (a) 15 (b) 32 (c) 37 (d) 20
  37. 37.What is the average of all the whole numbers from 50 to 90? (a) 71 (b) 70 (c) 20 (d) 40
  38. 38.A batter has an average of 57 runs in 3 matches. How many runs are needed in the next match to raise the average to 64? (a) 85 (b) 64 (c) 28 (d) 71
  39. 39.What is the average of 15, 27, 43, 23 and 42? (a) 29 (b) 31 (c) 32 (d) 30
  40. 40.What is the average of all the whole numbers from 46 to 78? (a) 63 (b) 62 (c) 32 (d) 16

Answer key

  1. 33
  2. 55
  3. 45
  4. 46
  5. 21
  6. 64
  7. 78
  8. 68
  9. 27
  10. 44
  11. 60
  12. 28
  13. 51
  14. 22
  15. 61
  16. 53
  17. 47
  18. 58
  19. 52
  20. 73
  21. 35
  22. 69
  23. 36
  24. 35
  25. 48
  26. 60
  27. 61
  28. 58
  29. 78
  30. 61
  31. 91
  32. 56
  33. 22
  34. 60
  35. 28
  36. 32
  37. 70
  38. 85
  39. 30
  40. 62

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