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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 852 · 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 7, 14, 7 and 56? (a) 22 (b) 21 (c) 20 (d) 28
  2. 2.A batter has an average of 51 runs in 7 matches. How many runs are needed in the next match to raise the average to 55? (a) 59 (b) 32 (c) 55 (d) 83
  3. 3.What is the average of 23, 31, 39 and 47? (a) 37 (b) 36 (c) 35 (d) 34
  4. 4.What is the average of all the whole numbers from 33 to 53? (a) 44 (b) 10 (c) 43 (d) 20
  5. 5.What is the average of all the whole numbers from 24 to 40? (a) 8 (b) 32 (c) 33 (d) 16
  6. 6.What is the average of all the whole numbers from 54 to 64? (a) 5 (b) 60 (c) 59 (d) 10
  7. 7.What is the average of all the whole numbers from 31 to 61? (a) 15 (b) 46 (c) 47 (d) 30
  8. 8.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 26? (a) 26 (b) 32 (c) 50 (d) 30
  9. 9.What is the average of 27, 25, 38, 36, 15 and 9? (a) 24 (b) 25 (c) 26 (d) 30
  10. 10.What is the average of 47, 31, 35, 46 and 21? (a) 36 (b) 45 (c) 37 (d) 35
  11. 11.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) 51 (d) 59
  12. 12.What is the average of 37, 45, 53, 34, 35 and 90? (a) 48 (b) 49 (c) 51 (d) 50
  13. 13.What is the average of all the whole numbers from 44 to 70? (a) 57 (b) 13 (c) 58 (d) 26
  14. 14.What is the average of all the whole numbers from 47 to 77? (a) 63 (b) 62 (c) 30 (d) 15
  15. 15.What is the average of 62, 72, 58 and 72? (a) 88 (b) 66 (c) 65 (d) 67
  16. 16.A batter has an average of 31 runs in 6 matches. How many runs are needed in the next match to raise the average to 39? (a) 56 (b) 47 (c) 87 (d) 39
  17. 17.A batter has an average of 34 runs in 4 matches. How many runs are needed in the next match to raise the average to 39? (a) 59 (b) 44 (c) 25 (d) 39
  18. 18.The average of 7 numbers is 30. When one number is taken away, the average of the rest is 31. Which number was taken away? (a) 30 (b) 24 (c) 25 (d) 61
  19. 19.What is the average of 46, 38, 39, 41, 33 and 19? (a) 37 (b) 35 (c) 38 (d) 36
  20. 20.What is the average of all the whole numbers from 12 to 22? (a) 10 (b) 18 (c) 5 (d) 17
  21. 21.The average of 4 numbers is 33. When one number is taken away, the average of the rest is 35. Which number was taken away? (a) 27 (b) 28 (c) 68 (d) 33
  22. 22.What is the average of 62, 63, 66, 82, 77 and 106? (a) 76 (b) 77 (c) 78 (d) 75
  23. 23.The average of 8 numbers is 10. When one number is taken away, the average of the rest is 9. Which number was taken away? (a) 10 (b) 8 (c) 19 (d) 17
  24. 24.The average of 4 numbers is 36. When one number is taken away, the average of the rest is 40. Which number was taken away? (a) 76 (b) 25 (c) 36 (d) 24
  25. 25.A batter has an average of 46 runs in 3 matches. How many runs are needed in the next match to raise the average to 49? (a) 58 (b) 52 (c) 12 (d) 49
  26. 26.What is the average of all the whole numbers from 21 to 55? (a) 17 (b) 34 (c) 38 (d) 39
  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) 55 (c) 67 (d) 18
  28. 28.What is the average of 62, 78, 92, 73 and 80? (a) 79 (b) 78 (c) 77 (d) 76
  29. 29.What is the average of all the whole numbers from 60 to 70? (a) 66 (b) 65 (c) 5 (d) 10
  30. 30.A batter has an average of 43 runs in 3 matches. How many runs are needed in the next match to raise the average to 47? (a) 59 (b) 16 (c) 47 (d) 51
  31. 31.The average of 7 numbers is 25. When one number is taken away, the average of the rest is 24. Which number was taken away? (a) 49 (b) 7 (c) 31 (d) 25
  32. 32.A batter has an average of 41 runs in 4 matches. How many runs are needed in the next match to raise the average to 49? (a) 40 (b) 49 (c) 81 (d) 57
  33. 33.The average of 6 numbers is 41. When one number is taken away, the average of the rest is 44. Which number was taken away? (a) 41 (b) 26 (c) 85 (d) 27
  34. 34.What is the average of 70, 65, 75, 75 and 35? (a) 63 (b) 65 (c) 64 (d) 80
  35. 35.What is the average of all the whole numbers from 13 to 21? (a) 17 (b) 4 (c) 18 (d) 8
  36. 36.What is the average of all the whole numbers from 13 to 25? (a) 20 (b) 19 (c) 6 (d) 12
  37. 37.The average of 5 numbers is 31. When one number is taken away, the average of the rest is 28. Which number was taken away? (a) 31 (b) 59 (c) 15 (d) 43
  38. 38.What is the average of all the whole numbers from 36 to 52? (a) 16 (b) 8 (c) 45 (d) 44
  39. 39.The average of 7 numbers is 39. When one number is taken away, the average of the rest is 37. Which number was taken away? (a) 76 (b) 39 (c) 14 (d) 51
  40. 40.A batter has an average of 31 runs in 8 matches. How many runs are needed in the next match to raise the average to 39? (a) 72 (b) 39 (c) 103 (d) 47

Answer key

  1. 21
  2. 83
  3. 35
  4. 43
  5. 32
  6. 59
  7. 46
  8. 50
  9. 25
  10. 36
  11. 91
  12. 49
  13. 57
  14. 62
  15. 66
  16. 87
  17. 59
  18. 24
  19. 36
  20. 17
  21. 27
  22. 76
  23. 17
  24. 24
  25. 58
  26. 38
  27. 67
  28. 77
  29. 65
  30. 59
  31. 31
  32. 81
  33. 26
  34. 64
  35. 17
  36. 19
  37. 43
  38. 44
  39. 51
  40. 103

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