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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 833 · 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 40 runs in 8 matches. How many runs are needed in the next match to raise the average to 43? (a) 67 (b) 27 (c) 46 (d) 43
  2. 2.A batter has an average of 26 runs in 4 matches. How many runs are needed in the next match to raise the average to 32? (a) 38 (b) 32 (c) 30 (d) 56
  3. 3.A batter has an average of 51 runs in 9 matches. How many runs are needed in the next match to raise the average to 55? (a) 59 (b) 55 (c) 91 (d) 40
  4. 4.What is the average of all the whole numbers from 10 to 26? (a) 18 (b) 19 (c) 16 (d) 8
  5. 5.What is the average of 42, 40, 60, 69, 66 and 47? (a) 53 (b) 54 (c) 55 (d) 56
  6. 6.A batter has an average of 29 runs in 8 matches. How many runs are needed in the next match to raise the average to 33? (a) 37 (b) 65 (c) 33 (d) 36
  7. 7.What is the average of 34, 37, 42, 48, 41 and 50? (a) 43 (b) 44 (c) 41 (d) 42
  8. 8.What is the average of 76, 78, 73, 89 and 69? (a) 78 (b) 77 (c) 79 (d) 76
  9. 9.What is the average of 26, 42, 14 and 30? (a) 27 (b) 30 (c) 28 (d) 29
  10. 10.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 46? (a) 12 (b) 46 (c) 49 (d) 55
  11. 11.A batter has an average of 33 runs in 3 matches. How many runs are needed in the next match to raise the average to 40? (a) 61 (b) 47 (c) 40 (d) 28
  12. 12.What is the average of 31, 23, 21 and 29? (a) 26 (b) 27 (c) 28 (d) 25
  13. 13.What is the average of 15, 37, 13 and 47? (a) 29 (b) 27 (c) 30 (d) 28
  14. 14.What is the average of all the whole numbers from 34 to 74? (a) 55 (b) 54 (c) 40 (d) 20
  15. 15.What is the average of all the whole numbers from 23 to 51? (a) 28 (b) 14 (c) 37 (d) 38
  16. 16.What is the average of 17, 10, 25, 21 and 42? (a) 22 (b) 25 (c) 24 (d) 23
  17. 17.The average of 4 numbers is 13. When one number is taken away, the average of the rest is 12. Which number was taken away? (a) 25 (b) 4 (c) 13 (d) 16
  18. 18.What is the average of all the whole numbers from 45 to 55? (a) 51 (b) 5 (c) 50 (d) 10
  19. 19.The average of 7 numbers is 22. When one number is taken away, the average of the rest is 24. Which number was taken away? (a) 22 (b) 46 (c) 11 (d) 10
  20. 20.What is the average of 61, 44, 56, 44, 44 and 75? (a) 55 (b) 56 (c) 53 (d) 54
  21. 21.What is the average of 48, 28, 32 and 52? (a) 40 (b) 39 (c) 41 (d) 42
  22. 22.What is the average of 72, 63, 68, 79, 66 and 108? (a) 78 (b) 76 (c) 77 (d) 75
  23. 23.The average of 7 numbers is 27. When one number is taken away, the average of the rest is 26. Which number was taken away? (a) 7 (b) 27 (c) 53 (d) 33
  24. 24.A batter has an average of 32 runs in 6 matches. How many runs are needed in the next match to raise the average to 34? (a) 34 (b) 36 (c) 14 (d) 46
  25. 25.The average of 8 numbers is 22. When one number is taken away, the average of the rest is 18. Which number was taken away? (a) 32 (b) 40 (c) 50 (d) 22
  26. 26.The average of 4 numbers is 11. When one number is taken away, the average of the rest is 8. Which number was taken away? (a) 11 (b) 20 (c) 12 (d) 19
  27. 27.A batter has an average of 22 runs in 6 matches. How many runs are needed in the next match to raise the average to 24? (a) 14 (b) 26 (c) 24 (d) 36
  28. 28.The average of 8 numbers is 15. When one number is taken away, the average of the rest is 14. Which number was taken away? (a) 22 (b) 15 (c) 29 (d) 8
  29. 29.A batter has an average of 24 runs in 4 matches. How many runs are needed in the next match to raise the average to 28? (a) 32 (b) 28 (c) 20 (d) 44
  30. 30.What is the average of all the whole numbers from 47 to 65? (a) 9 (b) 57 (c) 18 (d) 56
  31. 31.The average of 5 numbers is 28. When one number is taken away, the average of the rest is 23. Which number was taken away? (a) 48 (b) 25 (c) 28 (d) 51
  32. 32.What is the average of 56, 47, 52, 28, 35 and 40? (a) 43 (b) 44 (c) 45 (d) 42
  33. 33.A batter has an average of 37 runs in 8 matches. How many runs are needed in the next match to raise the average to 43? (a) 43 (b) 49 (c) 54 (d) 91
  34. 34.What is the average of 57, 48, 69, 57 and 49? (a) 57 (b) 56 (c) 55 (d) 70
  35. 35.The average of 4 numbers is 11. When one number is taken away, the average of the rest is 13. Which number was taken away? (a) 11 (b) 5 (c) 24 (d) 6
  36. 36.A batter has an average of 28 runs in 4 matches. How many runs are needed in the next match to raise the average to 30? (a) 32 (b) 38 (c) 10 (d) 30
  37. 37.A batter has an average of 43 runs in 8 matches. How many runs are needed in the next match to raise the average to 47? (a) 36 (b) 79 (c) 51 (d) 47
  38. 38.A batter has an average of 41 runs in 9 matches. How many runs are needed in the next match to raise the average to 44? (a) 47 (b) 71 (c) 30 (d) 44
  39. 39.What is the average of all the whole numbers from 20 to 36? (a) 16 (b) 29 (c) 28 (d) 8
  40. 40.What is the average of all the whole numbers from 41 to 77? (a) 18 (b) 59 (c) 60 (d) 36

Answer key

  1. 67
  2. 56
  3. 91
  4. 18
  5. 54
  6. 65
  7. 42
  8. 77
  9. 28
  10. 55
  11. 61
  12. 26
  13. 28
  14. 54
  15. 37
  16. 23
  17. 16
  18. 50
  19. 10
  20. 54
  21. 40
  22. 76
  23. 33
  24. 46
  25. 50
  26. 20
  27. 36
  28. 22
  29. 44
  30. 56
  31. 48
  32. 43
  33. 91
  34. 56
  35. 5
  36. 38
  37. 79
  38. 71
  39. 28
  40. 59

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