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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 650 · 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.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) 68 (b) 104 (c) 62 (d) 48
  2. 2.What is the average of all the whole numbers from 41 to 75? (a) 17 (b) 59 (c) 58 (d) 34
  3. 3.What is the average of all the whole numbers from 27 to 55? (a) 28 (b) 42 (c) 14 (d) 41
  4. 4.The average of 6 numbers is 14. When one number is taken away, the average of the rest is 11. Which number was taken away? (a) 14 (b) 18 (c) 25 (d) 29
  5. 5.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 42? (a) 48 (b) 42 (c) 54 (d) 90
  6. 6.What is the average of all the whole numbers from 36 to 52? (a) 8 (b) 45 (c) 44 (d) 16
  7. 7.A batter has an average of 38 runs in 9 matches. How many runs are needed in the next match to raise the average to 41? (a) 44 (b) 41 (c) 30 (d) 68
  8. 8.What is the average of all the whole numbers from 25 to 35? (a) 10 (b) 31 (c) 30 (d) 5
  9. 9.The average of 6 numbers is 37. When one number is taken away, the average of the rest is 39. Which number was taken away? (a) 28 (b) 27 (c) 37 (d) 76
  10. 10.The average of 8 numbers is 10. When one number is taken away, the average of the rest is 7. Which number was taken away? (a) 17 (b) 10 (c) 24 (d) 31
  11. 11.A batter has an average of 32 runs in 6 matches. How many runs are needed in the next match to raise the average to 34? (a) 14 (b) 46 (c) 34 (d) 36
  12. 12.The average of 5 numbers is 17. When one number is taken away, the average of the rest is 14. Which number was taken away? (a) 17 (b) 29 (c) 31 (d) 15
  13. 13.A batter has an average of 27 runs in 9 matches. How many runs are needed in the next match to raise the average to 29? (a) 47 (b) 20 (c) 31 (d) 29
  14. 14.A batter has an average of 44 runs in 6 matches. How many runs are needed in the next match to raise the average to 48? (a) 28 (b) 48 (c) 52 (d) 72
  15. 15.What is the average of all the whole numbers from 18 to 42? (a) 31 (b) 24 (c) 12 (d) 30
  16. 16.The average of 5 numbers is 14. When one number is taken away, the average of the rest is 12. Which number was taken away? (a) 14 (b) 22 (c) 26 (d) 10
  17. 17.A batter has an average of 49 runs in 6 matches. How many runs are needed in the next match to raise the average to 51? (a) 53 (b) 63 (c) 51 (d) 14
  18. 18.A batter has an average of 24 runs in 3 matches. How many runs are needed in the next match to raise the average to 26? (a) 26 (b) 28 (c) 8 (d) 32
  19. 19.A batter has an average of 25 runs in 3 matches. How many runs are needed in the next match to raise the average to 32? (a) 28 (b) 32 (c) 53 (d) 39
  20. 20.A batter has an average of 23 runs in 8 matches. How many runs are needed in the next match to raise the average to 29? (a) 29 (b) 35 (c) 54 (d) 77
  21. 21.The average of 7 numbers is 47. When one number is taken away, the average of the rest is 52. Which number was taken away? (a) 17 (b) 99 (c) 18 (d) 47
  22. 22.What is the average of 43, 42, 49, 50, 56 and 42? (a) 46 (b) 49 (c) 47 (d) 48
  23. 23.What is the average of 59, 58, 60, 51 and 102? (a) 68 (b) 67 (c) 66 (d) 65
  24. 24.The average of 6 numbers is 29. When one number is taken away, the average of the rest is 25. Which number was taken away? (a) 29 (b) 24 (c) 54 (d) 49
  25. 25.The average of 5 numbers is 22. When one number is taken away, the average of the rest is 27. Which number was taken away? (a) 22 (b) 3 (c) 2 (d) 49
  26. 26.What is the average of 21, 44, 29 and 42? (a) 35 (b) 33 (c) 34 (d) 36
  27. 27.What is the average of all the whole numbers from 36 to 64? (a) 50 (b) 51 (c) 28 (d) 14
  28. 28.A batter has an average of 35 runs in 3 matches. How many runs are needed in the next match to raise the average to 40? (a) 40 (b) 45 (c) 55 (d) 20
  29. 29.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) 16 (b) 29 (c) 15 (d) 28
  30. 30.What is the average of all the whole numbers from 43 to 71? (a) 58 (b) 28 (c) 57 (d) 14
  31. 31.A batter has an average of 38 runs in 5 matches. How many runs are needed in the next match to raise the average to 40? (a) 40 (b) 42 (c) 50 (d) 12
  32. 32.The average of 5 numbers is 39. When one number is taken away, the average of the rest is 36. Which number was taken away? (a) 75 (b) 15 (c) 51 (d) 39
  33. 33.What is the average of 75, 67, 54, 58 and 66? (a) 64 (b) 65 (c) 80 (d) 63
  34. 34.A batter has an average of 26 runs in 6 matches. How many runs are needed in the next match to raise the average to 29? (a) 21 (b) 32 (c) 47 (d) 29
  35. 35.The average of 8 numbers is 26. When one number is taken away, the average of the rest is 29. Which number was taken away? (a) 26 (b) 5 (c) 6 (d) 55
  36. 36.The average of 8 numbers is 13. When one number is taken away, the average of the rest is 9. Which number was taken away? (a) 13 (b) 32 (c) 22 (d) 41
  37. 37.What is the average of 88, 77, 64 and 67? (a) 73 (b) 75 (c) 74 (d) 76
  38. 38.The average of 5 numbers is 26. When one number is taken away, the average of the rest is 24. Which number was taken away? (a) 26 (b) 34 (c) 50 (d) 10
  39. 39.A batter has an average of 48 runs in 4 matches. How many runs are needed in the next match to raise the average to 55? (a) 55 (b) 35 (c) 83 (d) 62
  40. 40.What is the average of all the whole numbers from 55 to 95? (a) 76 (b) 40 (c) 75 (d) 20

Answer key

  1. 104
  2. 58
  3. 41
  4. 29
  5. 90
  6. 44
  7. 68
  8. 30
  9. 27
  10. 31
  11. 46
  12. 29
  13. 47
  14. 72
  15. 30
  16. 22
  17. 63
  18. 32
  19. 53
  20. 77
  21. 17
  22. 47
  23. 66
  24. 49
  25. 2
  26. 34
  27. 50
  28. 55
  29. 28
  30. 57
  31. 50
  32. 51
  33. 64
  34. 47
  35. 5
  36. 41
  37. 74
  38. 34
  39. 83
  40. 75

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