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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 557 · 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 51 runs in 4 matches. How many runs are needed in the next match to raise the average to 54? (a) 15 (b) 57 (c) 66 (d) 54
  2. 2.The average of 4 numbers is 37. When one number is taken away, the average of the rest is 33. Which number was taken away? (a) 49 (b) 16 (c) 70 (d) 37
  3. 3.What is the average of 29, 31, 38, 26 and 56? (a) 45 (b) 36 (c) 35 (d) 37
  4. 4.What is the average of all the whole numbers from 53 to 73? (a) 10 (b) 20 (c) 63 (d) 64
  5. 5.What is the average of 60, 54, 33, 57, 48 and 24? (a) 47 (b) 48 (c) 45 (d) 46
  6. 6.A batter has an average of 38 runs in 7 matches. How many runs are needed in the next match to raise the average to 40? (a) 40 (b) 16 (c) 42 (d) 54
  7. 7.What is the average of all the whole numbers from 6 to 40? (a) 24 (b) 23 (c) 34 (d) 17
  8. 8.What is the average of 10, 16, 21, 27 and 26? (a) 19 (b) 25 (c) 20 (d) 21
  9. 9.What is the average of 74, 52, 53 and 69? (a) 61 (b) 62 (c) 64 (d) 63
  10. 10.What is the average of all the whole numbers from 24 to 38? (a) 14 (b) 32 (c) 7 (d) 31
  11. 11.A batter has an average of 38 runs in 4 matches. How many runs are needed in the next match to raise the average to 42? (a) 42 (b) 20 (c) 46 (d) 58
  12. 12.The average of 4 numbers is 38. When one number is taken away, the average of the rest is 40. Which number was taken away? (a) 33 (b) 32 (c) 78 (d) 38
  13. 13.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 51? (a) 61 (b) 53 (c) 51 (d) 12
  14. 14.The average of 6 numbers is 20. When one number is taken away, the average of the rest is 17. Which number was taken away? (a) 37 (b) 18 (c) 35 (d) 20
  15. 15.A batter has an average of 45 runs in 5 matches. How many runs are needed in the next match to raise the average to 51? (a) 81 (b) 36 (c) 51 (d) 57
  16. 16.What is the average of 10, 14, 34, 16, 10 and 42? (a) 21 (b) 23 (c) 20 (d) 22
  17. 17.A batter has an average of 32 runs in 9 matches. How many runs are needed in the next match to raise the average to 39? (a) 46 (b) 39 (c) 70 (d) 102
  18. 18.What is the average of all the whole numbers from 17 to 47? (a) 33 (b) 32 (c) 15 (d) 30
  19. 19.What is the average of 44, 45, 24 and 19? (a) 34 (b) 33 (c) 32 (d) 44
  20. 20.A batter has an average of 48 runs in 4 matches. How many runs are needed in the next match to raise the average to 51? (a) 63 (b) 15 (c) 54 (d) 51
  21. 21.What is the average of all the whole numbers from 16 to 22? (a) 20 (b) 6 (c) 3 (d) 19
  22. 22.What is the average of 49, 51, 45, 62, 45 and 66? (a) 54 (b) 55 (c) 53 (d) 52
  23. 23.What is the average of all the whole numbers from 19 to 49? (a) 35 (b) 15 (c) 34 (d) 30
  24. 24.A batter has an average of 59 runs in 8 matches. How many runs are needed in the next match to raise the average to 63? (a) 95 (b) 36 (c) 67 (d) 63
  25. 25.The average of 4 numbers is 18. When one number is taken away, the average of the rest is 17. Which number was taken away? (a) 4 (b) 35 (c) 18 (d) 21
  26. 26.What is the average of 36, 45, 65, 42, 61 and 51? (a) 51 (b) 49 (c) 50 (d) 60
  27. 27.What is the average of 55, 38, 30, 43 and 54? (a) 43 (b) 45 (c) 55 (d) 44
  28. 28.What is the average of all the whole numbers from 39 to 47? (a) 8 (b) 44 (c) 4 (d) 43
  29. 29.A batter has an average of 44 runs in 3 matches. How many runs are needed in the next match to raise the average to 51? (a) 51 (b) 58 (c) 72 (d) 28
  30. 30.A batter has an average of 35 runs in 6 matches. How many runs are needed in the next match to raise the average to 42? (a) 85 (b) 49 (c) 42 (d) 84
  31. 31.The average of 6 numbers is 31. When one number is taken away, the average of the rest is 32. Which number was taken away? (a) 31 (b) 27 (c) 26 (d) 63
  32. 32.What is the average of 53, 55, 52, 76, 54 and 88? (a) 65 (b) 64 (c) 62 (d) 63
  33. 33.The average of 7 numbers is 19. When one number is taken away, the average of the rest is 16. Which number was taken away? (a) 21 (b) 35 (c) 37 (d) 19
  34. 34.What is the average of all the whole numbers from 60 to 74? (a) 14 (b) 68 (c) 7 (d) 67
  35. 35.A batter has an average of 50 runs in 4 matches. How many runs are needed in the next match to raise the average to 54? (a) 20 (b) 70 (c) 54 (d) 58
  36. 36.What is the average of 46, 45, 66 and 59? (a) 54 (b) 55 (c) 53 (d) 72
  37. 37.What is the average of 45, 31, 36, 24 and 14? (a) 29 (b) 30 (c) 31 (d) 32
  38. 38.The average of 6 numbers is 28. When one number is taken away, the average of the rest is 26. Which number was taken away? (a) 12 (b) 54 (c) 38 (d) 28
  39. 39.What is the average of 50, 52, 49, 52 and 112? (a) 64 (b) 65 (c) 63 (d) 62
  40. 40.A batter has an average of 25 runs in 5 matches. How many runs are needed in the next match to raise the average to 28? (a) 31 (b) 28 (c) 43 (d) 18

Answer key

  1. 66
  2. 49
  3. 36
  4. 63
  5. 46
  6. 54
  7. 23
  8. 20
  9. 62
  10. 31
  11. 58
  12. 32
  13. 61
  14. 35
  15. 81
  16. 21
  17. 102
  18. 32
  19. 33
  20. 63
  21. 19
  22. 53
  23. 34
  24. 95
  25. 21
  26. 50
  27. 44
  28. 43
  29. 72
  30. 84
  31. 26
  32. 63
  33. 37
  34. 67
  35. 70
  36. 54
  37. 30
  38. 38
  39. 63
  40. 43

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