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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 504 · 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 30 runs in 6 matches. How many runs are needed in the next match to raise the average to 34? (a) 34 (b) 38 (c) 28 (d) 58
  2. 2.What is the average of all the whole numbers from 13 to 23? (a) 19 (b) 5 (c) 18 (d) 10
  3. 3.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 40? (a) 48 (b) 56 (c) 88 (d) 40
  4. 4.The average of 7 numbers is 17. When one number is taken away, the average of the rest is 19. Which number was taken away? (a) 6 (b) 5 (c) 17 (d) 36
  5. 5.The average of 7 numbers is 37. When one number is taken away, the average of the rest is 39. Which number was taken away? (a) 37 (b) 25 (c) 76 (d) 26
  6. 6.What is the average of 40, 53, 58, 67 and 42? (a) 53 (b) 65 (c) 51 (d) 52
  7. 7.The average of 8 numbers is 50. When one number is taken away, the average of the rest is 48. Which number was taken away? (a) 64 (b) 16 (c) 98 (d) 50
  8. 8.What is the average of 41, 41, 54, 51, 33 and 44? (a) 44 (b) 46 (c) 43 (d) 45
  9. 9.What is the average of 49, 53, 50, 34 and 14? (a) 50 (b) 40 (c) 41 (d) 39
  10. 10.A batter has an average of 29 runs in 3 matches. How many runs are needed in the next match to raise the average to 34? (a) 20 (b) 39 (c) 49 (d) 34
  11. 11.A batter has an average of 26 runs in 7 matches. How many runs are needed in the next match to raise the average to 32? (a) 32 (b) 48 (c) 38 (d) 74
  12. 12.The average of 6 numbers is 23. When one number is taken away, the average of the rest is 26. Which number was taken away? (a) 9 (b) 8 (c) 23 (d) 49
  13. 13.The average of 8 numbers is 21. When one number is taken away, the average of the rest is 20. Which number was taken away? (a) 21 (b) 28 (c) 41 (d) 8
  14. 14.A batter has an average of 29 runs in 4 matches. How many runs are needed in the next match to raise the average to 35? (a) 41 (b) 35 (c) 30 (d) 59
  15. 15.The average of 4 numbers is 30. When one number is taken away, the average of the rest is 25. Which number was taken away? (a) 45 (b) 20 (c) 30 (d) 55
  16. 16.What is the average of 48, 43, 42 and 3? (a) 35 (b) 34 (c) 36 (d) 33
  17. 17.The average of 5 numbers is 33. When one number is taken away, the average of the rest is 36. Which number was taken away? (a) 33 (b) 69 (c) 22 (d) 21
  18. 18.The average of 8 numbers is 26. When one number is taken away, the average of the rest is 22. Which number was taken away? (a) 26 (b) 32 (c) 54 (d) 48
  19. 19.What is the average of all the whole numbers from 55 to 83? (a) 70 (b) 69 (c) 14 (d) 28
  20. 20.A batter has an average of 20 runs in 8 matches. How many runs are needed in the next match to raise the average to 28? (a) 72 (b) 36 (c) 28 (d) 92
  21. 21.What is the average of 47, 51, 55, 45, 60 and 48? (a) 53 (b) 51 (c) 52 (d) 50
  22. 22.A batter has an average of 37 runs in 7 matches. How many runs are needed in the next match to raise the average to 41? (a) 41 (b) 32 (c) 45 (d) 69
  23. 23.What is the average of 66, 72, 61, 77 and 44? (a) 80 (b) 65 (c) 63 (d) 64
  24. 24.What is the average of 17, 16, 31, 13 and 33? (a) 23 (b) 22 (c) 21 (d) 24
  25. 25.What is the average of 39, 46, 26, 40, 25 and 58? (a) 39 (b) 40 (c) 38 (d) 41
  26. 26.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 38? (a) 41 (b) 50 (c) 38 (d) 15
  27. 27.The average of 5 numbers is 18. When one number is taken away, the average of the rest is 20. Which number was taken away? (a) 11 (b) 18 (c) 10 (d) 38
  28. 28.What is the average of 50, 59, 60, 61 and 85? (a) 64 (b) 62 (c) 65 (d) 63
  29. 29.A batter has an average of 35 runs in 8 matches. How many runs are needed in the next match to raise the average to 40? (a) 45 (b) 40 (c) 80 (d) 81
  30. 30.What is the average of all the whole numbers from 45 to 75? (a) 30 (b) 15 (c) 61 (d) 60
  31. 31.What is the average of all the whole numbers from 22 to 36? (a) 7 (b) 30 (c) 29 (d) 14
  32. 32.What is the average of 44, 32, 40, 39, 17 and 2? (a) 28 (b) 30 (c) 29 (d) 31
  33. 33.What is the average of all the whole numbers from 28 to 36? (a) 33 (b) 4 (c) 8 (d) 32
  34. 34.What is the average of all the whole numbers from 32 to 46? (a) 14 (b) 40 (c) 7 (d) 39
  35. 35.The average of 5 numbers is 46. When one number is taken away, the average of the rest is 47. Which number was taken away? (a) 93 (b) 42 (c) 43 (d) 46
  36. 36.What is the average of all the whole numbers from 8 to 30? (a) 22 (b) 19 (c) 11 (d) 20
  37. 37.A batter has an average of 22 runs in 9 matches. How many runs are needed in the next match to raise the average to 25? (a) 25 (b) 30 (c) 28 (d) 52
  38. 38.What is the average of all the whole numbers from 16 to 42? (a) 13 (b) 29 (c) 26 (d) 30
  39. 39.What is the average of all the whole numbers from 29 to 35? (a) 6 (b) 3 (c) 33 (d) 32
  40. 40.What is the average of 27, 17, 28, 17, 14 and 59? (a) 26 (b) 28 (c) 29 (d) 27

Answer key

  1. 58
  2. 18
  3. 88
  4. 5
  5. 25
  6. 52
  7. 64
  8. 44
  9. 40
  10. 49
  11. 74
  12. 8
  13. 28
  14. 59
  15. 45
  16. 34
  17. 21
  18. 54
  19. 69
  20. 92
  21. 51
  22. 69
  23. 64
  24. 22
  25. 39
  26. 50
  27. 10
  28. 63
  29. 80
  30. 60
  31. 29
  32. 29
  33. 32
  34. 39
  35. 42
  36. 19
  37. 52
  38. 29
  39. 32
  40. 27

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