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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 167 · 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 17. When one number is taken away, the average of the rest is 22. Which number was taken away? (a) 2 (b) 3 (c) 39 (d) 17
  2. 2.The average of 4 numbers is 40. When one number is taken away, the average of the rest is 41. Which number was taken away? (a) 81 (b) 40 (c) 38 (d) 37
  3. 3.What is the average of all the whole numbers from 13 to 21? (a) 17 (b) 18 (c) 8 (d) 4
  4. 4.The average of 8 numbers is 24. When one number is taken away, the average of the rest is 20. Which number was taken away? (a) 44 (b) 24 (c) 32 (d) 52
  5. 5.What is the average of 61, 59, 46, 52, 49 and 63? (a) 54 (b) 56 (c) 66 (d) 55
  6. 6.What is the average of 43, 34, 37, 30, 39 and 39? (a) 38 (b) 36 (c) 39 (d) 37
  7. 7.The average of 7 numbers is 30. When one number is taken away, the average of the rest is 29. Which number was taken away? (a) 30 (b) 7 (c) 36 (d) 59
  8. 8.What is the average of 17, 25, 20, 14, 29 and 63? (a) 27 (b) 29 (c) 30 (d) 28
  9. 9.What is the average of all the whole numbers from 52 to 74? (a) 11 (b) 64 (c) 63 (d) 22
  10. 10.What is the average of all the whole numbers from 26 to 58? (a) 16 (b) 32 (c) 43 (d) 42
  11. 11.What is the average of 52, 61, 64 and 19? (a) 50 (b) 49 (c) 51 (d) 48
  12. 12.A batter has an average of 34 runs in 7 matches. How many runs are needed in the next match to raise the average to 39? (a) 40 (b) 74 (c) 39 (d) 44
  13. 13.The average of 6 numbers is 40. When one number is taken away, the average of the rest is 39. Which number was taken away? (a) 79 (b) 40 (c) 6 (d) 45
  14. 14.What is the average of all the whole numbers from 5 to 13? (a) 8 (b) 4 (c) 9 (d) 10
  15. 15.A batter has an average of 56 runs in 7 matches. How many runs are needed in the next match to raise the average to 59? (a) 62 (b) 80 (c) 24 (d) 59
  16. 16.What is the average of 44, 48, 43, 35, 53 and 35? (a) 43 (b) 42 (c) 44 (d) 45
  17. 17.The average of 4 numbers is 23. When one number is taken away, the average of the rest is 26. Which number was taken away? (a) 15 (b) 14 (c) 49 (d) 23
  18. 18.What is the average of 39, 38, 65, 41, 65 and 64? (a) 52 (b) 54 (c) 51 (d) 53
  19. 19.What is the average of 47, 73, 50 and 74? (a) 62 (b) 61 (c) 60 (d) 63
  20. 20.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 57? (a) 69 (b) 16 (c) 61 (d) 57
  21. 21.A batter has an average of 43 runs in 4 matches. How many runs are needed in the next match to raise the average to 47? (a) 51 (b) 47 (c) 63 (d) 20
  22. 22.The average of 8 numbers is 37. When one number is taken away, the average of the rest is 42. Which number was taken away? (a) 3 (b) 79 (c) 2 (d) 37
  23. 23.What is the average of 22, 33, 46, 27 and 47? (a) 34 (b) 37 (c) 36 (d) 35
  24. 24.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) 75 (b) 37 (c) 34 (d) 33
  25. 25.The average of 4 numbers is 40. When one number is taken away, the average of the rest is 39. Which number was taken away? (a) 43 (b) 79 (c) 40 (d) 4
  26. 26.What is the average of 43, 26, 16 and 35? (a) 30 (b) 29 (c) 31 (d) 40
  27. 27.A batter has an average of 22 runs in 4 matches. How many runs are needed in the next match to raise the average to 28? (a) 52 (b) 30 (c) 28 (d) 34
  28. 28.The average of 5 numbers is 34. When one number is taken away, the average of the rest is 31. Which number was taken away? (a) 34 (b) 65 (c) 15 (d) 46
  29. 29.What is the average of all the whole numbers from 33 to 57? (a) 46 (b) 45 (c) 24 (d) 12
  30. 30.What is the average of 61, 60, 55, 53, 39 and 26? (a) 50 (b) 48 (c) 49 (d) 51
  31. 31.A batter has an average of 33 runs in 5 matches. How many runs are needed in the next match to raise the average to 40? (a) 75 (b) 42 (c) 40 (d) 47
  32. 32.What is the average of 79, 74, 70 and 77? (a) 100 (b) 74 (c) 76 (d) 75
  33. 33.What is the average of 37, 12, 17, 31, 10 and 37? (a) 26 (b) 23 (c) 25 (d) 24
  34. 34.The average of 5 numbers is 32. When one number is taken away, the average of the rest is 31. Which number was taken away? (a) 32 (b) 63 (c) 5 (d) 36
  35. 35.What is the average of all the whole numbers from 16 to 36? (a) 10 (b) 20 (c) 27 (d) 26
  36. 36.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 60? (a) 60 (b) 65 (c) 80 (d) 25
  37. 37.What is the average of 25, 47, 25 and 63? (a) 41 (b) 39 (c) 42 (d) 40
  38. 38.A batter has an average of 46 runs in 3 matches. How many runs are needed in the next match to raise the average to 51? (a) 56 (b) 51 (c) 20 (d) 66
  39. 39.A batter has an average of 55 runs in 9 matches. How many runs are needed in the next match to raise the average to 61? (a) 115 (b) 61 (c) 67 (d) 60
  40. 40.What is the average of 58, 36, 34 and 48? (a) 43 (b) 44 (c) 46 (d) 45

Answer key

  1. 2
  2. 37
  3. 17
  4. 52
  5. 55
  6. 37
  7. 36
  8. 28
  9. 63
  10. 42
  11. 49
  12. 74
  13. 45
  14. 9
  15. 80
  16. 43
  17. 14
  18. 52
  19. 61
  20. 69
  21. 63
  22. 2
  23. 35
  24. 33
  25. 43
  26. 30
  27. 52
  28. 46
  29. 45
  30. 49
  31. 75
  32. 75
  33. 24
  34. 36
  35. 26
  36. 80
  37. 40
  38. 66
  39. 115
  40. 44

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