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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 832 · 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 24 runs in 9 matches. How many runs are needed in the next match to raise the average to 30? (a) 60 (b) 30 (c) 36 (d) 84
  2. 2.What is the average of all the whole numbers from 58 to 64? (a) 6 (b) 61 (c) 62 (d) 3
  3. 3.What is the average of all the whole numbers from 23 to 55? (a) 40 (b) 16 (c) 32 (d) 39
  4. 4.The average of 7 numbers is 12. When one number is taken away, the average of the rest is 8. Which number was taken away? (a) 20 (b) 28 (c) 36 (d) 12
  5. 5.The average of 4 numbers is 20. When one number is taken away, the average of the rest is 16. Which number was taken away? (a) 20 (b) 36 (c) 32 (d) 16
  6. 6.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 24? (a) 26 (b) 32 (c) 24 (d) 10
  7. 7.A batter has an average of 47 runs in 8 matches. How many runs are needed in the next match to raise the average to 55? (a) 55 (b) 63 (c) 72 (d) 119
  8. 8.What is the average of all the whole numbers from 19 to 45? (a) 33 (b) 26 (c) 13 (d) 32
  9. 9.What is the average of 37, 34, 58, 50 and 46? (a) 46 (b) 44 (c) 45 (d) 47
  10. 10.What is the average of all the whole numbers from 50 to 88? (a) 38 (b) 19 (c) 70 (d) 69
  11. 11.What is the average of all the whole numbers from 8 to 30? (a) 20 (b) 19 (c) 11 (d) 22
  12. 12.A batter has an average of 57 runs in 7 matches. How many runs are needed in the next match to raise the average to 60? (a) 60 (b) 63 (c) 24 (d) 81
  13. 13.A batter has an average of 58 runs in 5 matches. How many runs are needed in the next match to raise the average to 65? (a) 72 (b) 100 (c) 65 (d) 42
  14. 14.What is the average of all the whole numbers from 53 to 93? (a) 73 (b) 20 (c) 40 (d) 74
  15. 15.A batter has an average of 49 runs in 6 matches. How many runs are needed in the next match to raise the average to 55? (a) 55 (b) 61 (c) 42 (d) 91
  16. 16.A batter has an average of 39 runs in 8 matches. How many runs are needed in the next match to raise the average to 47? (a) 47 (b) 55 (c) 72 (d) 111
  17. 17.A batter has an average of 27 runs in 8 matches. How many runs are needed in the next match to raise the average to 34? (a) 34 (b) 90 (c) 41 (d) 63
  18. 18.What is the average of 61, 70, 44 and 49? (a) 56 (b) 58 (c) 55 (d) 57
  19. 19.A batter has an average of 21 runs in 6 matches. How many runs are needed in the next match to raise the average to 23? (a) 23 (b) 35 (c) 25 (d) 14
  20. 20.A batter has an average of 54 runs in 9 matches. How many runs are needed in the next match to raise the average to 57? (a) 30 (b) 84 (c) 57 (d) 60
  21. 21.What is the average of 45, 31, 34, 41, 30 and 53? (a) 39 (b) 40 (c) 41 (d) 38
  22. 22.What is the average of 52, 50, 65, 68, 46 and 73? (a) 60 (b) 58 (c) 59 (d) 61
  23. 23.What is the average of all the whole numbers from 53 to 63? (a) 10 (b) 59 (c) 5 (d) 58
  24. 24.What is the average of 68, 56, 63, 66 and 47? (a) 60 (b) 59 (c) 61 (d) 75
  25. 25.What is the average of all the whole numbers from 30 to 38? (a) 34 (b) 35 (c) 8 (d) 4
  26. 26.What is the average of 10, 29, 13, 24, 39 and 35? (a) 26 (b) 30 (c) 25 (d) 24
  27. 27.The average of 8 numbers is 37. When one number is taken away, the average of the rest is 41. Which number was taken away? (a) 78 (b) 9 (c) 37 (d) 10
  28. 28.The average of 8 numbers is 23. When one number is taken away, the average of the rest is 20. Which number was taken away? (a) 43 (b) 44 (c) 24 (d) 23
  29. 29.What is the average of 39, 48, 37 and 64? (a) 46 (b) 47 (c) 49 (d) 48
  30. 30.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 54? (a) 8 (b) 54 (c) 60 (d) 56
  31. 31.The average of 4 numbers is 27. When one number is taken away, the average of the rest is 28. Which number was taken away? (a) 55 (b) 27 (c) 25 (d) 24
  32. 32.The average of 5 numbers is 47. When one number is taken away, the average of the rest is 43. Which number was taken away? (a) 90 (b) 20 (c) 47 (d) 63
  33. 33.A batter has an average of 22 runs in 5 matches. How many runs are needed in the next match to raise the average to 29? (a) 29 (b) 42 (c) 64 (d) 36
  34. 34.What is the average of all the whole numbers from 20 to 40? (a) 30 (b) 10 (c) 20 (d) 31
  35. 35.A batter has an average of 22 runs in 3 matches. How many runs are needed in the next match to raise the average to 26? (a) 38 (b) 16 (c) 30 (d) 26
  36. 36.What is the average of all the whole numbers from 5 to 45? (a) 25 (b) 40 (c) 20 (d) 26
  37. 37.A batter has an average of 33 runs in 4 matches. How many runs are needed in the next match to raise the average to 39? (a) 30 (b) 45 (c) 39 (d) 63
  38. 38.What is the average of 45, 26, 20, 33 and 26? (a) 32 (b) 30 (c) 29 (d) 31
  39. 39.The average of 4 numbers is 11. When one number is taken away, the average of the rest is 9. Which number was taken away? (a) 20 (b) 8 (c) 17 (d) 11
  40. 40.The average of 4 numbers is 18. When one number is taken away, the average of the rest is 13. Which number was taken away? (a) 31 (b) 18 (c) 33 (d) 20

Answer key

  1. 84
  2. 61
  3. 39
  4. 36
  5. 32
  6. 32
  7. 119
  8. 32
  9. 45
  10. 69
  11. 19
  12. 81
  13. 100
  14. 73
  15. 91
  16. 111
  17. 90
  18. 56
  19. 35
  20. 84
  21. 39
  22. 59
  23. 58
  24. 60
  25. 34
  26. 25
  27. 9
  28. 44
  29. 47
  30. 60
  31. 24
  32. 63
  33. 64
  34. 30
  35. 38
  36. 25
  37. 63
  38. 30
  39. 17
  40. 33

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