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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 336 · 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 46 runs in 4 matches. How many runs are needed in the next match to raise the average to 51? (a) 56 (b) 51 (c) 25 (d) 71
  2. 2.The average of 4 numbers is 35. When one number is taken away, the average of the rest is 31. Which number was taken away? (a) 16 (b) 66 (c) 35 (d) 47
  3. 3.A batter has an average of 57 runs in 4 matches. How many runs are needed in the next match to raise the average to 64? (a) 71 (b) 35 (c) 64 (d) 92
  4. 4.A batter has an average of 22 runs in 4 matches. How many runs are needed in the next match to raise the average to 28? (a) 34 (b) 28 (c) 52 (d) 30
  5. 5.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 49? (a) 56 (b) 70 (c) 28 (d) 49
  6. 6.A batter has an average of 38 runs in 5 matches. How many runs are needed in the next match to raise the average to 46? (a) 48 (b) 54 (c) 86 (d) 46
  7. 7.A batter has an average of 37 runs in 5 matches. How many runs are needed in the next match to raise the average to 44? (a) 44 (b) 42 (c) 51 (d) 79
  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 33? (a) 33 (b) 87 (c) 60 (d) 39
  9. 9.What is the average of 20, 26, 19 and 23? (a) 24 (b) 22 (c) 23 (d) 21
  10. 10.A batter has an average of 44 runs in 7 matches. How many runs are needed in the next match to raise the average to 47? (a) 68 (b) 24 (c) 50 (d) 47
  11. 11.What is the average of 52, 50, 61, 59, 46 and 50? (a) 53 (b) 52 (c) 55 (d) 54
  12. 12.What is the average of all the whole numbers from 41 to 69? (a) 55 (b) 56 (c) 14 (d) 28
  13. 13.A batter has an average of 21 runs in 5 matches. How many runs are needed in the next match to raise the average to 24? (a) 18 (b) 39 (c) 24 (d) 27
  14. 14.What is the average of all the whole numbers from 37 to 53? (a) 45 (b) 46 (c) 8 (d) 16
  15. 15.What is the average of all the whole numbers from 45 to 77? (a) 32 (b) 16 (c) 62 (d) 61
  16. 16.A batter has an average of 42 runs in 4 matches. How many runs are needed in the next match to raise the average to 44? (a) 52 (b) 44 (c) 10 (d) 46
  17. 17.What is the average of all the whole numbers from 58 to 72? (a) 65 (b) 7 (c) 66 (d) 14
  18. 18.The average of 4 numbers is 28. When one number is taken away, the average of the rest is 33. Which number was taken away? (a) 14 (b) 61 (c) 13 (d) 28
  19. 19.What is the average of 43, 24, 24, 46 and 38? (a) 36 (b) 34 (c) 35 (d) 37
  20. 20.A batter has an average of 55 runs in 8 matches. How many runs are needed in the next match to raise the average to 62? (a) 118 (b) 63 (c) 69 (d) 62
  21. 21.The average of 4 numbers is 35. When one number is taken away, the average of the rest is 40. Which number was taken away? (a) 20 (b) 35 (c) 75 (d) 21
  22. 22.A batter has an average of 21 runs in 8 matches. How many runs are needed in the next match to raise the average to 25? (a) 36 (b) 57 (c) 25 (d) 29
  23. 23.What is the average of all the whole numbers from 41 to 61? (a) 51 (b) 20 (c) 10 (d) 52
  24. 24.The average of 5 numbers is 22. When one number is taken away, the average of the rest is 21. Which number was taken away? (a) 43 (b) 26 (c) 5 (d) 22
  25. 25.What is the average of all the whole numbers from 29 to 35? (a) 32 (b) 33 (c) 3 (d) 6
  26. 26.The average of 6 numbers is 30. When one number is taken away, the average of the rest is 26. Which number was taken away? (a) 30 (b) 24 (c) 50 (d) 56
  27. 27.What is the average of all the whole numbers from 13 to 47? (a) 31 (b) 17 (c) 30 (d) 34
  28. 28.The average of 4 numbers is 42. When one number is taken away, the average of the rest is 39. Which number was taken away? (a) 42 (b) 12 (c) 81 (d) 51
  29. 29.What is the average of all the whole numbers from 30 to 50? (a) 40 (b) 20 (c) 10 (d) 41
  30. 30.What is the average of 12, 25, 33, 24 and 21? (a) 25 (b) 22 (c) 23 (d) 24
  31. 31.What is the average of all the whole numbers from 20 to 52? (a) 32 (b) 36 (c) 16 (d) 37
  32. 32.What is the average of 64, 60, 66 and 34? (a) 57 (b) 55 (c) 56 (d) 58
  33. 33.What is the average of all the whole numbers from 48 to 84? (a) 18 (b) 67 (c) 66 (d) 36
  34. 34.What is the average of all the whole numbers from 25 to 53? (a) 28 (b) 40 (c) 39 (d) 14
  35. 35.What is the average of 72, 70, 74, 88, 65 and 81? (a) 90 (b) 76 (c) 75 (d) 74
  36. 36.What is the average of all the whole numbers from 57 to 93? (a) 18 (b) 36 (c) 76 (d) 75
  37. 37.A batter has an average of 22 runs in 4 matches. How many runs are needed in the next match to raise the average to 26? (a) 30 (b) 20 (c) 42 (d) 26
  38. 38.The average of 8 numbers is 32. When one number is taken away, the average of the rest is 35. Which number was taken away? (a) 12 (b) 67 (c) 11 (d) 32
  39. 39.What is the average of all the whole numbers from 14 to 54? (a) 35 (b) 40 (c) 34 (d) 20
  40. 40.What is the average of 31, 51, 42 and 44? (a) 56 (b) 42 (c) 43 (d) 41

Answer key

  1. 71
  2. 47
  3. 92
  4. 52
  5. 70
  6. 86
  7. 79
  8. 87
  9. 22
  10. 68
  11. 53
  12. 55
  13. 39
  14. 45
  15. 61
  16. 52
  17. 65
  18. 13
  19. 35
  20. 118
  21. 20
  22. 57
  23. 51
  24. 26
  25. 32
  26. 50
  27. 30
  28. 51
  29. 40
  30. 23
  31. 36
  32. 56
  33. 66
  34. 39
  35. 75
  36. 75
  37. 42
  38. 11
  39. 34
  40. 42

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