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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 941 · 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 29. When one number is taken away, the average of the rest is 27. Which number was taken away? (a) 10 (b) 56 (c) 37 (d) 29
  2. 2.The average of 7 numbers is 36. When one number is taken away, the average of the rest is 34. Which number was taken away? (a) 48 (b) 14 (c) 36 (d) 70
  3. 3.What is the average of 16, 30, 19 and 55? (a) 29 (b) 40 (c) 30 (d) 31
  4. 4.What is the average of 29, 28, 50, 26, 33 and 50? (a) 35 (b) 36 (c) 38 (d) 37
  5. 5.What is the average of all the whole numbers from 33 to 63? (a) 15 (b) 30 (c) 48 (d) 49
  6. 6.A batter has an average of 31 runs in 3 matches. How many runs are needed in the next match to raise the average to 35? (a) 39 (b) 16 (c) 47 (d) 35
  7. 7.A batter has an average of 24 runs in 7 matches. How many runs are needed in the next match to raise the average to 26? (a) 28 (b) 16 (c) 26 (d) 40
  8. 8.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 62? (a) 104 (b) 68 (c) 62 (d) 48
  9. 9.The average of 5 numbers is 28. When one number is taken away, the average of the rest is 25. Which number was taken away? (a) 53 (b) 28 (c) 40 (d) 15
  10. 10.What is the average of 21, 31, 44 and 24? (a) 40 (b) 31 (c) 29 (d) 30
  11. 11.What is the average of 64, 49, 58 and 53? (a) 57 (b) 58 (c) 56 (d) 55
  12. 12.The average of 4 numbers is 15. When one number is taken away, the average of the rest is 10. Which number was taken away? (a) 20 (b) 30 (c) 25 (d) 15
  13. 13.What is the average of all the whole numbers from 12 to 34? (a) 24 (b) 23 (c) 22 (d) 11
  14. 14.What is the average of 47, 49, 37, 50 and 42? (a) 45 (b) 46 (c) 44 (d) 47
  15. 15.What is the average of 33, 60, 60 and 39? (a) 64 (b) 47 (c) 48 (d) 49
  16. 16.What is the average of 35, 23, 36, 43 and 28? (a) 34 (b) 35 (c) 32 (d) 33
  17. 17.A batter has an average of 55 runs in 5 matches. How many runs are needed in the next match to raise the average to 61? (a) 36 (b) 61 (c) 91 (d) 67
  18. 18.A batter has an average of 25 runs in 7 matches. How many runs are needed in the next match to raise the average to 29? (a) 33 (b) 29 (c) 32 (d) 57
  19. 19.What is the average of 50, 62, 50 and 38? (a) 52 (b) 49 (c) 50 (d) 51
  20. 20.The average of 7 numbers is 50. When one number is taken away, the average of the rest is 47. Which number was taken away? (a) 50 (b) 21 (c) 97 (d) 68
  21. 21.A batter has an average of 36 runs in 8 matches. How many runs are needed in the next match to raise the average to 43? (a) 50 (b) 63 (c) 43 (d) 99
  22. 22.A batter has an average of 32 runs in 3 matches. How many runs are needed in the next match to raise the average to 39? (a) 46 (b) 28 (c) 60 (d) 39
  23. 23.The average of 5 numbers is 16. When one number is taken away, the average of the rest is 13. Which number was taken away? (a) 29 (b) 28 (c) 15 (d) 16
  24. 24.A batter has an average of 35 runs in 7 matches. How many runs are needed in the next match to raise the average to 41? (a) 48 (b) 41 (c) 47 (d) 83
  25. 25.What is the average of all the whole numbers from 16 to 30? (a) 23 (b) 7 (c) 24 (d) 14
  26. 26.A batter has an average of 39 runs in 7 matches. How many runs are needed in the next match to raise the average to 41? (a) 55 (b) 16 (c) 43 (d) 41
  27. 27.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
  28. 28.What is the average of 64, 70, 52, 60, 76 and 74? (a) 66 (b) 67 (c) 68 (d) 65
  29. 29.A batter has an average of 59 runs in 4 matches. How many runs are needed in the next match to raise the average to 65? (a) 89 (b) 65 (c) 71 (d) 30
  30. 30.The average of 7 numbers is 41. When one number is taken away, the average of the rest is 43. Which number was taken away? (a) 84 (b) 30 (c) 41 (d) 29
  31. 31.A batter has an average of 46 runs in 5 matches. How many runs are needed in the next match to raise the average to 49? (a) 52 (b) 18 (c) 64 (d) 49
  32. 32.The average of 4 numbers is 17. When one number is taken away, the average of the rest is 16. Which number was taken away? (a) 4 (b) 33 (c) 17 (d) 20
  33. 33.What is the average of 54, 50, 42, 41 and 83? (a) 56 (b) 54 (c) 53 (d) 55
  34. 34.What is the average of 58, 35, 58, 34 and 30? (a) 43 (b) 42 (c) 45 (d) 44
  35. 35.The average of 8 numbers is 15. When one number is taken away, the average of the rest is 10. Which number was taken away? (a) 50 (b) 40 (c) 15 (d) 25
  36. 36.The average of 5 numbers is 38. When one number is taken away, the average of the rest is 35. Which number was taken away? (a) 15 (b) 38 (c) 73 (d) 50
  37. 37.What is the average of 70, 87, 74, 65 and 64? (a) 72 (b) 90 (c) 71 (d) 73
  38. 38.What is the average of all the whole numbers from 26 to 62? (a) 18 (b) 44 (c) 36 (d) 45
  39. 39.What is the average of all the whole numbers from 46 to 68? (a) 58 (b) 11 (c) 57 (d) 22
  40. 40.What is the average of all the whole numbers from 55 to 63? (a) 60 (b) 4 (c) 8 (d) 59

Answer key

  1. 37
  2. 48
  3. 30
  4. 36
  5. 48
  6. 47
  7. 40
  8. 104
  9. 40
  10. 30
  11. 56
  12. 30
  13. 23
  14. 45
  15. 48
  16. 33
  17. 91
  18. 57
  19. 50
  20. 68
  21. 99
  22. 60
  23. 28
  24. 83
  25. 23
  26. 55
  27. 92
  28. 66
  29. 89
  30. 29
  31. 64
  32. 20
  33. 54
  34. 43
  35. 50
  36. 50
  37. 72
  38. 44
  39. 57
  40. 59

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