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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 680 · 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 35 runs in 7 matches. How many runs are needed in the next match to raise the average to 38? (a) 24 (b) 38 (c) 59 (d) 41
  2. 2.What is the average of 29, 22, 20 and 57? (a) 31 (b) 34 (c) 32 (d) 33
  3. 3.What is the average of all the whole numbers from 37 to 53? (a) 45 (b) 46 (c) 16 (d) 8
  4. 4.What is the average of 68, 70, 59, 75, 85 and 69? (a) 71 (b) 72 (c) 73 (d) 70
  5. 5.What is the average of 68, 88, 74 and 82? (a) 77 (b) 104 (c) 79 (d) 78
  6. 6.What is the average of 74, 61, 74, 69, 73 and 45? (a) 68 (b) 67 (c) 65 (d) 66
  7. 7.The average of 6 numbers is 24. When one number is taken away, the average of the rest is 27. Which number was taken away? (a) 10 (b) 51 (c) 9 (d) 24
  8. 8.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 30? (a) 30 (b) 33 (c) 58 (d) 57
  9. 9.What is the average of 47, 32, 49, 41 and 31? (a) 41 (b) 40 (c) 39 (d) 50
  10. 10.A batter has an average of 30 runs in 3 matches. How many runs are needed in the next match to raise the average to 34? (a) 38 (b) 34 (c) 16 (d) 46
  11. 11.A batter has an average of 46 runs in 4 matches. How many runs are needed in the next match to raise the average to 52? (a) 58 (b) 52 (c) 76 (d) 30
  12. 12.What is the average of all the whole numbers from 14 to 34? (a) 24 (b) 10 (c) 25 (d) 20
  13. 13.A batter has an average of 39 runs in 9 matches. How many runs are needed in the next match to raise the average to 46? (a) 53 (b) 70 (c) 109 (d) 46
  14. 14.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
  15. 15.The average of 4 numbers is 33. When one number is taken away, the average of the rest is 29. Which number was taken away? (a) 62 (b) 33 (c) 45 (d) 16
  16. 16.What is the average of all the whole numbers from 39 to 79? (a) 60 (b) 40 (c) 59 (d) 20
  17. 17.The average of 7 numbers is 21. When one number is taken away, the average of the rest is 22. Which number was taken away? (a) 43 (b) 15 (c) 16 (d) 21
  18. 18.What is the average of all the whole numbers from 17 to 49? (a) 34 (b) 16 (c) 32 (d) 33
  19. 19.What is the average of 50, 38, 38 and 26? (a) 39 (b) 38 (c) 40 (d) 37
  20. 20.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) 17 (b) 6 (c) 33 (d) 22
  21. 21.What is the average of 39, 35, 49, 37 and 25? (a) 36 (b) 38 (c) 39 (d) 37
  22. 22.What is the average of all the whole numbers from 9 to 45? (a) 27 (b) 28 (c) 36 (d) 18
  23. 23.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 32? (a) 14 (b) 44 (c) 32 (d) 34
  24. 24.What is the average of 31, 19, 42 and 32? (a) 30 (b) 31 (c) 32 (d) 33
  25. 25.What is the average of all the whole numbers from 26 to 34? (a) 30 (b) 31 (c) 8 (d) 4
  26. 26.What is the average of 27, 27, 54 and 48? (a) 38 (b) 52 (c) 39 (d) 40
  27. 27.A batter has an average of 50 runs in 3 matches. How many runs are needed in the next match to raise the average to 56? (a) 24 (b) 56 (c) 62 (d) 74
  28. 28.What is the average of all the whole numbers from 13 to 47? (a) 30 (b) 17 (c) 31 (d) 34
  29. 29.A batter has an average of 60 runs in 7 matches. How many runs are needed in the next match to raise the average to 64? (a) 32 (b) 68 (c) 92 (d) 64
  30. 30.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 31? (a) 31 (b) 12 (c) 34 (d) 40
  31. 31.What is the average of 84, 72, 62, 86 and 76? (a) 77 (b) 76 (c) 75 (d) 95
  32. 32.The average of 7 numbers is 15. When one number is taken away, the average of the rest is 10. Which number was taken away? (a) 45 (b) 15 (c) 25 (d) 35
  33. 33.What is the average of 28, 32, 54, 37 and 59? (a) 43 (b) 42 (c) 44 (d) 41
  34. 34.The average of 4 numbers is 36. When one number is taken away, the average of the rest is 38. Which number was taken away? (a) 36 (b) 74 (c) 31 (d) 30
  35. 35.What is the average of 49, 68, 55, 68 and 80? (a) 64 (b) 63 (c) 80 (d) 65
  36. 36.A batter has an average of 20 runs in 7 matches. How many runs are needed in the next match to raise the average to 23? (a) 44 (b) 23 (c) 24 (d) 26
  37. 37.What is the average of 69, 58, 72, 54, 64 and 67? (a) 63 (b) 65 (c) 64 (d) 66
  38. 38.What is the average of 41, 63, 55, 61 and 60? (a) 57 (b) 55 (c) 70 (d) 56
  39. 39.The average of 8 numbers is 21. When one number is taken away, the average of the rest is 19. Which number was taken away? (a) 21 (b) 40 (c) 35 (d) 16
  40. 40.What is the average of 61, 72, 69, 84, 73 and 67? (a) 73 (b) 70 (c) 71 (d) 72

Answer key

  1. 59
  2. 32
  3. 45
  4. 71
  5. 78
  6. 66
  7. 9
  8. 57
  9. 40
  10. 46
  11. 76
  12. 24
  13. 109
  14. 89
  15. 45
  16. 59
  17. 15
  18. 33
  19. 38
  20. 22
  21. 37
  22. 27
  23. 44
  24. 31
  25. 30
  26. 39
  27. 74
  28. 30
  29. 92
  30. 40
  31. 76
  32. 45
  33. 42
  34. 30
  35. 64
  36. 44
  37. 64
  38. 56
  39. 35
  40. 71

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