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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 666 · 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 all the whole numbers from 21 to 53? (a) 32 (b) 37 (c) 16 (d) 38
  2. 2.A batter has an average of 32 runs in 4 matches. How many runs are needed in the next match to raise the average to 38? (a) 62 (b) 38 (c) 44 (d) 30
  3. 3.What is the average of all the whole numbers from 23 to 55? (a) 39 (b) 16 (c) 32 (d) 40
  4. 4.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 45? (a) 72 (b) 53 (c) 45 (d) 109
  5. 5.A batter has an average of 42 runs in 6 matches. How many runs are needed in the next match to raise the average to 50? (a) 98 (b) 58 (c) 56 (d) 50
  6. 6.The average of 4 numbers is 14. When one number is taken away, the average of the rest is 15. Which number was taken away? (a) 14 (b) 12 (c) 11 (d) 29
  7. 7.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) 30 (b) 32 (c) 10 (d) 38
  8. 8.A batter has an average of 55 runs in 8 matches. How many runs are needed in the next match to raise the average to 60? (a) 65 (b) 100 (c) 60 (d) 45
  9. 9.What is the average of 24, 29, 28 and 23? (a) 28 (b) 26 (c) 27 (d) 25
  10. 10.What is the average of 46, 46, 36, 54, 35 and 77? (a) 48 (b) 50 (c) 49 (d) 51
  11. 11.The average of 8 numbers is 50. When one number is taken away, the average of the rest is 45. Which number was taken away? (a) 50 (b) 40 (c) 85 (d) 95
  12. 12.What is the average of 46, 61, 52, 64, 52 and 31? (a) 52 (b) 50 (c) 51 (d) 53
  13. 13.What is the average of all the whole numbers from 51 to 57? (a) 6 (b) 3 (c) 55 (d) 54
  14. 14.What is the average of all the whole numbers from 17 to 33? (a) 25 (b) 26 (c) 16 (d) 8
  15. 15.What is the average of all the whole numbers from 41 to 61? (a) 20 (b) 52 (c) 10 (d) 51
  16. 16.What is the average of 45, 52, 52, 45, 58 and 78? (a) 55 (b) 54 (c) 66 (d) 56
  17. 17.A batter has an average of 50 runs in 9 matches. How many runs are needed in the next match to raise the average to 58? (a) 66 (b) 58 (c) 130 (d) 80
  18. 18.A batter has an average of 20 runs in 5 matches. How many runs are needed in the next match to raise the average to 25? (a) 51 (b) 25 (c) 50 (d) 30
  19. 19.A batter has an average of 31 runs in 4 matches. How many runs are needed in the next match to raise the average to 35? (a) 35 (b) 51 (c) 39 (d) 20
  20. 20.The average of 5 numbers is 14. When one number is taken away, the average of the rest is 9. Which number was taken away? (a) 25 (b) 14 (c) 23 (d) 34
  21. 21.The average of 5 numbers is 38. When one number is taken away, the average of the rest is 36. Which number was taken away? (a) 46 (b) 74 (c) 38 (d) 10
  22. 22.The average of 8 numbers is 14. When one number is taken away, the average of the rest is 15. Which number was taken away? (a) 8 (b) 7 (c) 14 (d) 29
  23. 23.What is the average of 71, 54, 69, 59, 58 and 91? (a) 69 (b) 67 (c) 66 (d) 68
  24. 24.The average of 7 numbers is 48. When one number is taken away, the average of the rest is 50. Which number was taken away? (a) 48 (b) 36 (c) 37 (d) 98
  25. 25.What is the average of 10, 15, 28 and 43? (a) 32 (b) 23 (c) 25 (d) 24
  26. 26.What is the average of 43, 45, 32, 41, 45 and 22? (a) 37 (b) 38 (c) 39 (d) 40
  27. 27.The average of 7 numbers is 29. When one number is taken away, the average of the rest is 32. Which number was taken away? (a) 11 (b) 29 (c) 12 (d) 61
  28. 28.A batter has an average of 32 runs in 3 matches. How many runs are needed in the next match to raise the average to 40? (a) 48 (b) 32 (c) 40 (d) 64
  29. 29.The average of 4 numbers is 24. When one number is taken away, the average of the rest is 25. Which number was taken away? (a) 21 (b) 49 (c) 22 (d) 24
  30. 30.A batter has an average of 53 runs in 4 matches. How many runs are needed in the next match to raise the average to 60? (a) 60 (b) 67 (c) 88 (d) 35
  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 32? (a) 32 (b) 67 (c) 42 (d) 39
  32. 32.What is the average of all the whole numbers from 20 to 34? (a) 28 (b) 7 (c) 14 (d) 27
  33. 33.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) 81 (d) 24
  34. 34.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 33? (a) 37 (b) 33 (c) 20 (d) 49
  35. 35.The average of 6 numbers is 15. When one number is taken away, the average of the rest is 16. Which number was taken away? (a) 31 (b) 15 (c) 11 (d) 10
  36. 36.What is the average of 62, 41, 61 and 40? (a) 52 (b) 51 (c) 68 (d) 50
  37. 37.What is the average of all the whole numbers from 34 to 42? (a) 38 (b) 8 (c) 4 (d) 39
  38. 38.What is the average of 54, 36, 33, 40, 46 and 67? (a) 48 (b) 46 (c) 45 (d) 47
  39. 39.What is the average of 75, 58, 66, 57, 72 and 50? (a) 63 (b) 62 (c) 64 (d) 65
  40. 40.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 36? (a) 40 (b) 68 (c) 36 (d) 44

Answer key

  1. 37
  2. 62
  3. 39
  4. 109
  5. 98
  6. 11
  7. 38
  8. 100
  9. 26
  10. 49
  11. 85
  12. 51
  13. 54
  14. 25
  15. 51
  16. 55
  17. 130
  18. 50
  19. 51
  20. 34
  21. 46
  22. 7
  23. 67
  24. 36
  25. 24
  26. 38
  27. 11
  28. 64
  29. 21
  30. 88
  31. 67
  32. 27
  33. 81
  34. 49
  35. 10
  36. 51
  37. 38
  38. 46
  39. 63
  40. 68

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