← Averages lesson New set →

Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 122 · 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.The average of 6 numbers is 10. When one number is taken away, the average of the rest is 11. Which number was taken away? (a) 21 (b) 10 (c) 6 (d) 5
  2. 2.The average of 4 numbers is 26. When one number is taken away, the average of the rest is 24. Which number was taken away? (a) 50 (b) 32 (c) 26 (d) 8
  3. 3.The average of 7 numbers is 36. When one number is taken away, the average of the rest is 35. Which number was taken away? (a) 7 (b) 42 (c) 36 (d) 71
  4. 4.A batter has an average of 35 runs in 9 matches. How many runs are needed in the next match to raise the average to 40? (a) 50 (b) 45 (c) 85 (d) 40
  5. 5.What is the average of all the whole numbers from 10 to 44? (a) 28 (b) 27 (c) 34 (d) 17
  6. 6.A batter has an average of 41 runs in 5 matches. How many runs are needed in the next match to raise the average to 47? (a) 36 (b) 77 (c) 53 (d) 47
  7. 7.What is the average of 18, 30, 24, 38 and 45? (a) 30 (b) 33 (c) 32 (d) 31
  8. 8.What is the average of all the whole numbers from 15 to 21? (a) 19 (b) 18 (c) 6 (d) 3
  9. 9.A batter has an average of 43 runs in 6 matches. How many runs are needed in the next match to raise the average to 47? (a) 47 (b) 28 (c) 51 (d) 71
  10. 10.A batter has an average of 58 runs in 8 matches. How many runs are needed in the next match to raise the average to 66? (a) 66 (b) 130 (c) 74 (d) 72
  11. 11.A batter has an average of 28 runs in 6 matches. How many runs are needed in the next match to raise the average to 36? (a) 84 (b) 36 (c) 56 (d) 44
  12. 12.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 51? (a) 58 (b) 51 (c) 100 (d) 56
  13. 13.The average of 6 numbers is 36. When one number is taken away, the average of the rest is 31. Which number was taken away? (a) 61 (b) 30 (c) 67 (d) 36
  14. 14.What is the average of all the whole numbers from 21 to 33? (a) 12 (b) 6 (c) 27 (d) 28
  15. 15.The average of 8 numbers is 31. When one number is taken away, the average of the rest is 33. Which number was taken away? (a) 18 (b) 17 (c) 64 (d) 31
  16. 16.A batter has an average of 48 runs in 6 matches. How many runs are needed in the next match to raise the average to 55? (a) 49 (b) 55 (c) 62 (d) 97
  17. 17.What is the average of 73, 57, 61, 72, 60 and 73? (a) 67 (b) 65 (c) 66 (d) 68
  18. 18.What is the average of 69, 71, 64, 70 and 21? (a) 60 (b) 59 (c) 58 (d) 61
  19. 19.A batter has an average of 40 runs in 4 matches. How many runs are needed in the next match to raise the average to 46? (a) 52 (b) 30 (c) 46 (d) 70
  20. 20.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 40? (a) 64 (b) 40 (c) 43 (d) 27
  21. 21.What is the average of 35, 31, 37, 27, 48 and 74? (a) 43 (b) 44 (c) 41 (d) 42
  22. 22.What is the average of 75, 53, 65 and 67? (a) 65 (b) 67 (c) 66 (d) 64
  23. 23.What is the average of all the whole numbers from 34 to 50? (a) 43 (b) 16 (c) 8 (d) 42
  24. 24.The average of 6 numbers is 26. When one number is taken away, the average of the rest is 21. Which number was taken away? (a) 51 (b) 47 (c) 26 (d) 30
  25. 25.A batter has an average of 28 runs in 3 matches. How many runs are needed in the next match to raise the average to 31? (a) 31 (b) 12 (c) 40 (d) 34
  26. 26.A batter has an average of 33 runs in 4 matches. How many runs are needed in the next match to raise the average to 41? (a) 73 (b) 40 (c) 49 (d) 41
  27. 27.What is the average of all the whole numbers from 28 to 44? (a) 36 (b) 16 (c) 8 (d) 37
  28. 28.A batter has an average of 31 runs in 6 matches. How many runs are needed in the next match to raise the average to 35? (a) 39 (b) 35 (c) 28 (d) 59
  29. 29.The average of 5 numbers is 47. When one number is taken away, the average of the rest is 42. Which number was taken away? (a) 89 (b) 25 (c) 47 (d) 67
  30. 30.What is the average of all the whole numbers from 53 to 79? (a) 66 (b) 67 (c) 26 (d) 13
  31. 31.The average of 8 numbers is 17. When one number is taken away, the average of the rest is 13. Which number was taken away? (a) 30 (b) 32 (c) 45 (d) 17
  32. 32.What is the average of 28, 14, 16, 22 and 35? (a) 22 (b) 24 (c) 23 (d) 25
  33. 33.A batter has an average of 33 runs in 4 matches. How many runs are needed in the next match to raise the average to 38? (a) 38 (b) 25 (c) 43 (d) 58
  34. 34.What is the average of 47, 44, 34, 53 and 42? (a) 44 (b) 43 (c) 45 (d) 55
  35. 35.What is the average of 9, 14, 29, 28, 31 and 33? (a) 23 (b) 26 (c) 25 (d) 24
  36. 36.What is the average of all the whole numbers from 9 to 27? (a) 18 (b) 19 (c) 17 (d) 9
  37. 37.The average of 8 numbers is 30. When one number is taken away, the average of the rest is 34. Which number was taken away? (a) 2 (b) 30 (c) 64 (d) 3
  38. 38.A batter has an average of 21 runs in 8 matches. How many runs are needed in the next match to raise the average to 27? (a) 27 (b) 33 (c) 54 (d) 75
  39. 39.What is the average of 36, 54, 37, 39 and 74? (a) 49 (b) 47 (c) 60 (d) 48
  40. 40.A batter has an average of 52 runs in 7 matches. How many runs are needed in the next match to raise the average to 59? (a) 59 (b) 66 (c) 56 (d) 108

Answer key

  1. 5
  2. 32
  3. 42
  4. 85
  5. 27
  6. 77
  7. 31
  8. 18
  9. 71
  10. 130
  11. 84
  12. 100
  13. 61
  14. 27
  15. 17
  16. 97
  17. 66
  18. 59
  19. 70
  20. 64
  21. 42
  22. 65
  23. 42
  24. 51
  25. 40
  26. 73
  27. 36
  28. 59
  29. 67
  30. 66
  31. 45
  32. 23
  33. 58
  34. 44
  35. 24
  36. 18
  37. 2
  38. 75
  39. 48
  40. 108

Free maths olympiad lessons, practice and worksheets at talentjr.in/maths-olympiad