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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 857 · 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.What is the average of 25, 23, 44, 44, 38 and 42? (a) 36 (b) 35 (c) 37 (d) 38
  2. 2.The average of 4 numbers is 19. When one number is taken away, the average of the rest is 16. Which number was taken away? (a) 19 (b) 12 (c) 28 (d) 35
  3. 3.What is the average of all the whole numbers from 59 to 85? (a) 13 (b) 72 (c) 26 (d) 73
  4. 4.A batter has an average of 39 runs in 4 matches. How many runs are needed in the next match to raise the average to 46? (a) 35 (b) 53 (c) 74 (d) 46
  5. 5.What is the average of all the whole numbers from 45 to 53? (a) 8 (b) 4 (c) 49 (d) 50
  6. 6.What is the average of 85, 76, 61, 80, 62 and 80? (a) 73 (b) 76 (c) 74 (d) 75
  7. 7.What is the average of 29, 50, 43, 38 and 25? (a) 36 (b) 38 (c) 37 (d) 39
  8. 8.What is the average of all the whole numbers from 21 to 29? (a) 8 (b) 26 (c) 4 (d) 25
  9. 9.What is the average of 71, 79, 80, 66 and 84? (a) 77 (b) 75 (c) 76 (d) 95
  10. 10.A batter has an average of 26 runs in 9 matches. How many runs are needed in the next match to raise the average to 32? (a) 38 (b) 86 (c) 32 (d) 60
  11. 11.The average of 8 numbers is 17. When one number is taken away, the average of the rest is 15. Which number was taken away? (a) 17 (b) 16 (c) 32 (d) 31
  12. 12.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 47? (a) 50 (b) 56 (c) 12 (d) 47
  13. 13.The average of 8 numbers is 27. When one number is taken away, the average of the rest is 26. Which number was taken away? (a) 27 (b) 34 (c) 53 (d) 8
  14. 14.What is the average of 48, 22, 19 and 47? (a) 35 (b) 36 (c) 33 (d) 34
  15. 15.The average of 4 numbers is 14. When one number is taken away, the average of the rest is 10. Which number was taken away? (a) 14 (b) 16 (c) 26 (d) 24
  16. 16.The average of 6 numbers is 30. When one number is taken away, the average of the rest is 34. Which number was taken away? (a) 11 (b) 10 (c) 64 (d) 30
  17. 17.A batter has an average of 39 runs in 6 matches. How many runs are needed in the next match to raise the average to 46? (a) 46 (b) 88 (c) 49 (d) 53
  18. 18.The average of 5 numbers is 31. When one number is taken away, the average of the rest is 35. Which number was taken away? (a) 16 (b) 31 (c) 66 (d) 15
  19. 19.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 50? (a) 48 (b) 50 (c) 92 (d) 56
  20. 20.The average of 5 numbers is 21. When one number is taken away, the average of the rest is 22. Which number was taken away? (a) 43 (b) 21 (c) 17 (d) 18
  21. 21.What is the average of all the whole numbers from 16 to 22? (a) 20 (b) 3 (c) 6 (d) 19
  22. 22.What is the average of 69, 73, 66, 72 and 40? (a) 64 (b) 63 (c) 80 (d) 65
  23. 23.The average of 7 numbers is 26. When one number is taken away, the average of the rest is 28. Which number was taken away? (a) 14 (b) 15 (c) 54 (d) 26
  24. 24.What is the average of 75, 69, 65, 61, 77 and 49? (a) 68 (b) 65 (c) 67 (d) 66
  25. 25.What is the average of 7, 24, 10, 28 and 41? (a) 23 (b) 24 (c) 21 (d) 22
  26. 26.A batter has an average of 30 runs in 3 matches. How many runs are needed in the next match to raise the average to 37? (a) 28 (b) 37 (c) 58 (d) 44
  27. 27.What is the average of 62, 61, 73 and 40? (a) 60 (b) 58 (c) 61 (d) 59
  28. 28.A batter has an average of 38 runs in 8 matches. How many runs are needed in the next match to raise the average to 41? (a) 65 (b) 27 (c) 41 (d) 44
  29. 29.What is the average of all the whole numbers from 16 to 26? (a) 21 (b) 5 (c) 10 (d) 22
  30. 30.A batter has an average of 30 runs in 4 matches. How many runs are needed in the next match to raise the average to 36? (a) 60 (b) 42 (c) 36 (d) 30
  31. 31.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 31? (a) 37 (b) 31 (c) 36 (d) 61
  32. 32.The average of 4 numbers is 31. When one number is taken away, the average of the rest is 34. Which number was taken away? (a) 22 (b) 65 (c) 23 (d) 31
  33. 33.What is the average of all the whole numbers from 40 to 72? (a) 16 (b) 32 (c) 57 (d) 56
  34. 34.A batter has an average of 47 runs in 4 matches. How many runs are needed in the next match to raise the average to 52? (a) 52 (b) 57 (c) 25 (d) 72
  35. 35.The average of 8 numbers is 40. When one number is taken away, the average of the rest is 37. Which number was taken away? (a) 40 (b) 77 (c) 24 (d) 61
  36. 36.What is the average of 48, 42, 34 and 64? (a) 48 (b) 49 (c) 47 (d) 46
  37. 37.The average of 5 numbers is 36. When one number is taken away, the average of the rest is 35. Which number was taken away? (a) 40 (b) 71 (c) 36 (d) 5
  38. 38.A batter has an average of 49 runs in 4 matches. How many runs are needed in the next match to raise the average to 56? (a) 35 (b) 56 (c) 84 (d) 63
  39. 39.What is the average of 77, 86, 78 and 63? (a) 75 (b) 76 (c) 78 (d) 77
  40. 40.A batter has an average of 25 runs in 8 matches. How many runs are needed in the next match to raise the average to 32? (a) 32 (b) 63 (c) 39 (d) 88

Answer key

  1. 36
  2. 28
  3. 72
  4. 74
  5. 49
  6. 74
  7. 37
  8. 25
  9. 76
  10. 86
  11. 31
  12. 56
  13. 34
  14. 34
  15. 26
  16. 10
  17. 88
  18. 15
  19. 92
  20. 17
  21. 19
  22. 64
  23. 14
  24. 66
  25. 22
  26. 58
  27. 59
  28. 65
  29. 21
  30. 60
  31. 61
  32. 22
  33. 56
  34. 72
  35. 61
  36. 47
  37. 40
  38. 84
  39. 76
  40. 88

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