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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 342 · 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 34 runs in 7 matches. How many runs are needed in the next match to raise the average to 42? (a) 42 (b) 64 (c) 50 (d) 98
  2. 2.What is the average of 71, 66, 86, 78, 64 and 91? (a) 77 (b) 78 (c) 75 (d) 76
  3. 3.What is the average of all the whole numbers from 33 to 53? (a) 44 (b) 20 (c) 43 (d) 10
  4. 4.What is the average of 35, 41, 43, 27, 22 and 24? (a) 32 (b) 31 (c) 33 (d) 34
  5. 5.The average of 8 numbers is 13. When one number is taken away, the average of the rest is 12. Which number was taken away? (a) 8 (b) 20 (c) 25 (d) 13
  6. 6.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) 60 (b) 67 (c) 115 (d) 61
  7. 7.What is the average of all the whole numbers from 9 to 41? (a) 32 (b) 16 (c) 26 (d) 25
  8. 8.A batter has an average of 35 runs in 4 matches. How many runs are needed in the next match to raise the average to 39? (a) 55 (b) 20 (c) 39 (d) 43
  9. 9.What is the average of all the whole numbers from 23 to 53? (a) 38 (b) 39 (c) 15 (d) 30
  10. 10.The average of 8 numbers is 31. When one number is taken away, the average of the rest is 29. Which number was taken away? (a) 60 (b) 45 (c) 16 (d) 31
  11. 11.What is the average of 74, 54, 69, 61 and 72? (a) 66 (b) 67 (c) 68 (d) 65
  12. 12.A batter has an average of 45 runs in 7 matches. How many runs are needed in the next match to raise the average to 47? (a) 49 (b) 47 (c) 16 (d) 61
  13. 13.What is the average of 48, 61, 49, 61, 62 and 91? (a) 64 (b) 63 (c) 62 (d) 61
  14. 14.What is the average of all the whole numbers from 53 to 67? (a) 61 (b) 14 (c) 60 (d) 7
  15. 15.What is the average of all the whole numbers from 58 to 88? (a) 30 (b) 74 (c) 15 (d) 73
  16. 16.A batter has an average of 48 runs in 6 matches. How many runs are needed in the next match to raise the average to 53? (a) 83 (b) 58 (c) 53 (d) 35
  17. 17.What is the average of all the whole numbers from 41 to 67? (a) 54 (b) 26 (c) 13 (d) 55
  18. 18.What is the average of all the whole numbers from 36 to 44? (a) 8 (b) 41 (c) 40 (d) 4
  19. 19.The average of 4 numbers is 37. When one number is taken away, the average of the rest is 41. Which number was taken away? (a) 37 (b) 78 (c) 26 (d) 25
  20. 20.A batter has an average of 24 runs in 9 matches. How many runs are needed in the next match to raise the average to 32? (a) 32 (b) 80 (c) 40 (d) 104
  21. 21.What is the average of all the whole numbers from 25 to 41? (a) 34 (b) 16 (c) 8 (d) 33
  22. 22.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 50? (a) 50 (b) 58 (c) 74 (d) 32
  23. 23.The average of 8 numbers is 29. When one number is taken away, the average of the rest is 26. Which number was taken away? (a) 29 (b) 24 (c) 55 (d) 50
  24. 24.The average of 7 numbers is 20. When one number is taken away, the average of the rest is 16. Which number was taken away? (a) 44 (b) 20 (c) 28 (d) 36
  25. 25.What is the average of 38, 61, 61 and 48? (a) 52 (b) 53 (c) 54 (d) 51
  26. 26.A batter has an average of 40 runs in 3 matches. How many runs are needed in the next match to raise the average to 47? (a) 54 (b) 28 (c) 68 (d) 47
  27. 27.A batter has an average of 49 runs in 5 matches. How many runs are needed in the next match to raise the average to 52? (a) 52 (b) 18 (c) 55 (d) 67
  28. 28.A batter has an average of 28 runs in 3 matches. How many runs are needed in the next match to raise the average to 35? (a) 56 (b) 42 (c) 35 (d) 28
  29. 29.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 32? (a) 32 (b) 47 (c) 20 (d) 37
  30. 30.What is the average of 52, 58, 46, 56, 60 and 88? (a) 61 (b) 60 (c) 72 (d) 59
  31. 31.The average of 4 numbers is 20. When one number is taken away, the average of the rest is 23. Which number was taken away? (a) 12 (b) 11 (c) 20 (d) 43
  32. 32.What is the average of 77, 61, 79, 56, 78 and 45? (a) 68 (b) 67 (c) 65 (d) 66
  33. 33.A batter has an average of 20 runs in 4 matches. How many runs are needed in the next match to raise the average to 27? (a) 27 (b) 34 (c) 55 (d) 35
  34. 34.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 49? (a) 30 (b) 55 (c) 49 (d) 73
  35. 35.The average of 4 numbers is 50. When one number is taken away, the average of the rest is 47. Which number was taken away? (a) 97 (b) 59 (c) 12 (d) 50
  36. 36.A batter has an average of 48 runs in 3 matches. How many runs are needed in the next match to raise the average to 52? (a) 52 (b) 56 (c) 64 (d) 16
  37. 37.The average of 6 numbers is 17. When one number is taken away, the average of the rest is 16. Which number was taken away? (a) 22 (b) 17 (c) 33 (d) 6
  38. 38.What is the average of all the whole numbers from 47 to 63? (a) 56 (b) 16 (c) 55 (d) 8
  39. 39.What is the average of all the whole numbers from 5 to 11? (a) 8 (b) 9 (c) 6 (d) 3
  40. 40.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 53? (a) 28 (b) 53 (c) 57 (d) 77

Answer key

  1. 98
  2. 76
  3. 43
  4. 32
  5. 20
  6. 115
  7. 25
  8. 55
  9. 38
  10. 45
  11. 66
  12. 61
  13. 62
  14. 60
  15. 73
  16. 83
  17. 54
  18. 40
  19. 25
  20. 104
  21. 33
  22. 74
  23. 50
  24. 44
  25. 52
  26. 68
  27. 67
  28. 56
  29. 47
  30. 60
  31. 11
  32. 66
  33. 55
  34. 73
  35. 59
  36. 64
  37. 22
  38. 55
  39. 8
  40. 77

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