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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 698 · 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.What is the average of all the whole numbers from 47 to 53? (a) 50 (b) 51 (c) 3 (d) 6
  2. 2.A batter has an average of 37 runs in 3 matches. How many runs are needed in the next match to raise the average to 39? (a) 39 (b) 41 (c) 8 (d) 45
  3. 3.What is the average of 26, 16, 15, 25, 15 and 77? (a) 29 (b) 28 (c) 31 (d) 30
  4. 4.What is the average of 46, 61, 62 and 75? (a) 63 (b) 60 (c) 61 (d) 62
  5. 5.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 25? (a) 30 (b) 45 (c) 46 (d) 25
  6. 6.A batter has an average of 30 runs in 5 matches. How many runs are needed in the next match to raise the average to 32? (a) 32 (b) 34 (c) 42 (d) 12
  7. 7.The average of 4 numbers is 16. When one number is taken away, the average of the rest is 11. Which number was taken away? (a) 20 (b) 31 (c) 16 (d) 27
  8. 8.What is the average of 32, 33, 48, 42, 39 and 22? (a) 36 (b) 35 (c) 38 (d) 37
  9. 9.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 50? (a) 50 (b) 85 (c) 40 (d) 55
  10. 10.The average of 5 numbers is 27. When one number is taken away, the average of the rest is 30. Which number was taken away? (a) 57 (b) 27 (c) 15 (d) 16
  11. 11.What is the average of 69, 61, 62, 40 and 43? (a) 55 (b) 57 (c) 54 (d) 56
  12. 12.What is the average of 39, 40, 37 and 20? (a) 35 (b) 36 (c) 34 (d) 33
  13. 13.The average of 7 numbers is 47. When one number is taken away, the average of the rest is 50. Which number was taken away? (a) 47 (b) 29 (c) 97 (d) 30
  14. 14.What is the average of all the whole numbers from 49 to 67? (a) 59 (b) 58 (c) 9 (d) 18
  15. 15.What is the average of 51, 65, 76, 59, 64 and 63? (a) 63 (b) 65 (c) 64 (d) 62
  16. 16.What is the average of 35, 29, 13 and 15? (a) 24 (b) 22 (c) 25 (d) 23
  17. 17.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 45? (a) 54 (b) 12 (c) 45 (d) 48
  18. 18.What is the average of 49, 45, 55, 58 and 88? (a) 58 (b) 60 (c) 61 (d) 59
  19. 19.What is the average of 39, 35, 54, 35, 53 and 54? (a) 54 (b) 45 (c) 44 (d) 46
  20. 20.The average of 4 numbers is 20. When one number is taken away, the average of the rest is 15. Which number was taken away? (a) 35 (b) 20 (c) 34 (d) 36
  21. 21.The average of 6 numbers is 30. When one number is taken away, the average of the rest is 25. Which number was taken away? (a) 55 (b) 54 (c) 56 (d) 30
  22. 22.The average of 8 numbers is 10. When one number is taken away, the average of the rest is 6. Which number was taken away? (a) 10 (b) 16 (c) 38 (d) 32
  23. 23.What is the average of 76, 63, 70 and 47? (a) 63 (b) 66 (c) 64 (d) 65
  24. 24.What is the average of 61, 32, 49, 45 and 48? (a) 49 (b) 48 (c) 46 (d) 47
  25. 25.A batter has an average of 43 runs in 5 matches. How many runs are needed in the next match to raise the average to 51? (a) 91 (b) 48 (c) 59 (d) 51
  26. 26.The average of 5 numbers is 19. When one number is taken away, the average of the rest is 20. Which number was taken away? (a) 16 (b) 15 (c) 39 (d) 19
  27. 27.What is the average of all the whole numbers from 40 to 70? (a) 15 (b) 30 (c) 56 (d) 55
  28. 28.What is the average of all the whole numbers from 47 to 73? (a) 61 (b) 60 (c) 26 (d) 13
  29. 29.What is the average of 13, 31, 31, 19, 24 and 38? (a) 25 (b) 27 (c) 28 (d) 26
  30. 30.A batter has an average of 31 runs in 9 matches. How many runs are needed in the next match to raise the average to 36? (a) 50 (b) 41 (c) 36 (d) 81
  31. 31.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) 16 (b) 52 (c) 56 (d) 64
  32. 32.A batter has an average of 59 runs in 7 matches. How many runs are needed in the next match to raise the average to 66? (a) 115 (b) 73 (c) 56 (d) 66
  33. 33.What is the average of 9, 10, 12, 23 and 61? (a) 24 (b) 22 (c) 23 (d) 25
  34. 34.The average of 4 numbers is 41. When one number is taken away, the average of the rest is 40. Which number was taken away? (a) 41 (b) 44 (c) 81 (d) 4
  35. 35.What is the average of 19, 13, 25, 30, 14 and 43? (a) 25 (b) 24 (c) 23 (d) 26
  36. 36.A batter has an average of 39 runs in 4 matches. How many runs are needed in the next match to raise the average to 42? (a) 45 (b) 54 (c) 42 (d) 15
  37. 37.What is the average of all the whole numbers from 56 to 70? (a) 64 (b) 14 (c) 7 (d) 63
  38. 38.The average of 7 numbers is 22. When one number is taken away, the average of the rest is 25. Which number was taken away? (a) 22 (b) 5 (c) 4 (d) 47
  39. 39.What is the average of 73, 57, 58, 70, 59 and 43? (a) 72 (b) 59 (c) 60 (d) 61
  40. 40.A batter has an average of 52 runs in 3 matches. How many runs are needed in the next match to raise the average to 59? (a) 59 (b) 28 (c) 66 (d) 80

Answer key

  1. 50
  2. 45
  3. 29
  4. 61
  5. 45
  6. 42
  7. 31
  8. 36
  9. 85
  10. 15
  11. 55
  12. 34
  13. 29
  14. 58
  15. 63
  16. 23
  17. 54
  18. 59
  19. 45
  20. 35
  21. 55
  22. 38
  23. 64
  24. 47
  25. 91
  26. 15
  27. 55
  28. 60
  29. 26
  30. 81
  31. 64
  32. 115
  33. 23
  34. 44
  35. 24
  36. 54
  37. 63
  38. 4
  39. 60
  40. 80

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