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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 369 · 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 20 runs in 3 matches. How many runs are needed in the next match to raise the average to 28? (a) 36 (b) 32 (c) 28 (d) 52
  2. 2.The average of 6 numbers is 25. When one number is taken away, the average of the rest is 23. Which number was taken away? (a) 25 (b) 12 (c) 48 (d) 35
  3. 3.The average of 5 numbers is 23. When one number is taken away, the average of the rest is 24. Which number was taken away? (a) 47 (b) 20 (c) 23 (d) 19
  4. 4.The average of 7 numbers is 31. When one number is taken away, the average of the rest is 34. Which number was taken away? (a) 65 (b) 31 (c) 13 (d) 14
  5. 5.What is the average of 53, 51, 32 and 32? (a) 42 (b) 56 (c) 41 (d) 43
  6. 6.What is the average of 44, 21, 24 and 31? (a) 31 (b) 29 (c) 30 (d) 40
  7. 7.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 26? (a) 28 (b) 26 (c) 44 (d) 20
  8. 8.What is the average of 64, 42, 49, 50, 61 and 34? (a) 51 (b) 49 (c) 60 (d) 50
  9. 9.What is the average of all the whole numbers from 13 to 33? (a) 24 (b) 23 (c) 10 (d) 20
  10. 10.What is the average of all the whole numbers from 40 to 48? (a) 4 (b) 44 (c) 45 (d) 8
  11. 11.The average of 7 numbers is 23. When one number is taken away, the average of the rest is 22. Which number was taken away? (a) 7 (b) 23 (c) 45 (d) 29
  12. 12.What is the average of 12, 26, 25, 12 and 35? (a) 22 (b) 23 (c) 24 (d) 21
  13. 13.A batter has an average of 38 runs in 3 matches. How many runs are needed in the next match to raise the average to 44? (a) 44 (b) 50 (c) 24 (d) 62
  14. 14.What is the average of all the whole numbers from 26 to 62? (a) 18 (b) 45 (c) 36 (d) 44
  15. 15.What is the average of 49, 43, 43, 42 and 98? (a) 57 (b) 55 (c) 56 (d) 54
  16. 16.What is the average of all the whole numbers from 50 to 90? (a) 20 (b) 71 (c) 70 (d) 40
  17. 17.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 34? (a) 37 (b) 61 (c) 30 (d) 34
  18. 18.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 48? (a) 48 (b) 56 (c) 72 (d) 112
  19. 19.What is the average of 47, 50, 51 and 24? (a) 45 (b) 42 (c) 44 (d) 43
  20. 20.What is the average of 19, 20, 44, 23, 19 and 79? (a) 34 (b) 35 (c) 33 (d) 36
  21. 21.A batter has an average of 34 runs in 9 matches. How many runs are needed in the next match to raise the average to 41? (a) 48 (b) 70 (c) 41 (d) 104
  22. 22.The average of 5 numbers is 45. When one number is taken away, the average of the rest is 44. Which number was taken away? (a) 49 (b) 45 (c) 5 (d) 89
  23. 23.What is the average of 67, 73, 51, 67 and 47? (a) 60 (b) 63 (c) 61 (d) 62
  24. 24.What is the average of 55, 54, 38 and 61? (a) 53 (b) 54 (c) 52 (d) 51
  25. 25.What is the average of all the whole numbers from 18 to 32? (a) 26 (b) 25 (c) 14 (d) 7
  26. 26.What is the average of 63, 57, 41 and 51? (a) 54 (b) 52 (c) 55 (d) 53
  27. 27.What is the average of 53, 61, 54, 53 and 109? (a) 65 (b) 67 (c) 68 (d) 66
  28. 28.A batter has an average of 26 runs in 3 matches. How many runs are needed in the next match to raise the average to 34? (a) 58 (b) 32 (c) 42 (d) 34
  29. 29.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 46? (a) 46 (b) 51 (c) 25 (d) 66
  30. 30.What is the average of 47, 50, 37 and 70? (a) 68 (b) 52 (c) 50 (d) 51
  31. 31.What is the average of 84, 79, 87 and 50? (a) 76 (b) 74 (c) 75 (d) 100
  32. 32.What is the average of all the whole numbers from 34 to 40? (a) 6 (b) 3 (c) 37 (d) 38
  33. 33.What is the average of all the whole numbers from 47 to 85? (a) 38 (b) 19 (c) 67 (d) 66
  34. 34.What is the average of 43, 17, 32, 18 and 35? (a) 31 (b) 29 (c) 28 (d) 30
  35. 35.What is the average of 48, 61, 53, 37, 55 and 28? (a) 49 (b) 46 (c) 47 (d) 48
  36. 36.A batter has an average of 35 runs in 7 matches. How many runs are needed in the next match to raise the average to 42? (a) 42 (b) 56 (c) 91 (d) 49
  37. 37.What is the average of 29, 24, 13 and 14? (a) 20 (b) 22 (c) 19 (d) 21
  38. 38.A batter has an average of 29 runs in 4 matches. How many runs are needed in the next match to raise the average to 34? (a) 25 (b) 39 (c) 34 (d) 54
  39. 39.A batter has an average of 25 runs in 9 matches. How many runs are needed in the next match to raise the average to 31? (a) 31 (b) 37 (c) 85 (d) 60
  40. 40.What is the average of all the whole numbers from 15 to 45? (a) 30 (b) 29 (c) 15 (d) 31

Answer key

  1. 52
  2. 35
  3. 19
  4. 13
  5. 42
  6. 30
  7. 44
  8. 50
  9. 23
  10. 44
  11. 29
  12. 22
  13. 62
  14. 44
  15. 55
  16. 70
  17. 61
  18. 112
  19. 43
  20. 34
  21. 104
  22. 49
  23. 61
  24. 52
  25. 25
  26. 53
  27. 66
  28. 58
  29. 66
  30. 51
  31. 75
  32. 37
  33. 66
  34. 29
  35. 47
  36. 91
  37. 20
  38. 54
  39. 85
  40. 30

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