← Averages lesson New set →

Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 228 · 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 50, 40, 43 and 51? (a) 47 (b) 45 (c) 48 (d) 46
  2. 2.What is the average of all the whole numbers from 20 to 26? (a) 6 (b) 3 (c) 24 (d) 23
  3. 3.What is the average of 38, 27, 39, 16 and 5? (a) 24 (b) 26 (c) 27 (d) 25
  4. 4.What is the average of 33, 48, 57, 52, 57 and 41? (a) 49 (b) 48 (c) 50 (d) 47
  5. 5.A batter has an average of 27 runs in 4 matches. How many runs are needed in the next match to raise the average to 32? (a) 32 (b) 52 (c) 37 (d) 25
  6. 6.What is the average of 67, 73, 68 and 96? (a) 75 (b) 77 (c) 78 (d) 76
  7. 7.A batter has an average of 56 runs in 4 matches. How many runs are needed in the next match to raise the average to 59? (a) 62 (b) 59 (c) 15 (d) 71
  8. 8.A batter has an average of 60 runs in 4 matches. How many runs are needed in the next match to raise the average to 67? (a) 74 (b) 35 (c) 67 (d) 95
  9. 9.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) 12 (b) 31 (c) 34 (d) 40
  10. 10.A batter has an average of 56 runs in 5 matches. How many runs are needed in the next match to raise the average to 63? (a) 70 (b) 42 (c) 98 (d) 63
  11. 11.What is the average of all the whole numbers from 18 to 46? (a) 14 (b) 28 (c) 33 (d) 32
  12. 12.What is the average of 57, 60, 56 and 103? (a) 68 (b) 70 (c) 92 (d) 69
  13. 13.The average of 6 numbers is 47. When one number is taken away, the average of the rest is 43. Which number was taken away? (a) 24 (b) 67 (c) 47 (d) 90
  14. 14.The average of 8 numbers is 19. When one number is taken away, the average of the rest is 18. Which number was taken away? (a) 37 (b) 19 (c) 8 (d) 26
  15. 15.What is the average of all the whole numbers from 38 to 76? (a) 19 (b) 58 (c) 57 (d) 38
  16. 16.What is the average of 21, 43, 27, 40, 42 and 1? (a) 28 (b) 29 (c) 30 (d) 31
  17. 17.A batter has an average of 60 runs in 5 matches. How many runs are needed in the next match to raise the average to 63? (a) 66 (b) 18 (c) 63 (d) 78
  18. 18.What is the average of all the whole numbers from 30 to 56? (a) 43 (b) 26 (c) 44 (d) 13
  19. 19.The average of 4 numbers is 31. When one number is taken away, the average of the rest is 27. Which number was taken away? (a) 58 (b) 43 (c) 31 (d) 16
  20. 20.A batter has an average of 58 runs in 6 matches. How many runs are needed in the next match to raise the average to 64? (a) 64 (b) 70 (c) 100 (d) 42
  21. 21.What is the average of 25, 33, 22 and 8? (a) 22 (b) 24 (c) 21 (d) 23
  22. 22.What is the average of 44, 35, 33, 26 and 47? (a) 36 (b) 37 (c) 38 (d) 39
  23. 23.The average of 7 numbers is 21. When one number is taken away, the average of the rest is 16. Which number was taken away? (a) 21 (b) 51 (c) 35 (d) 37
  24. 24.What is the average of all the whole numbers from 6 to 26? (a) 10 (b) 17 (c) 20 (d) 16
  25. 25.What is the average of 13, 36, 10, 14, 19 and 40? (a) 23 (b) 22 (c) 21 (d) 24
  26. 26.What is the average of 55, 66, 76 and 79? (a) 68 (b) 92 (c) 70 (d) 69
  27. 27.What is the average of all the whole numbers from 40 to 70? (a) 56 (b) 55 (c) 30 (d) 15
  28. 28.What is the average of 77, 58, 55, 60 and 70? (a) 65 (b) 64 (c) 80 (d) 63
  29. 29.What is the average of all the whole numbers from 56 to 68? (a) 12 (b) 63 (c) 62 (d) 6
  30. 30.A batter has an average of 57 runs in 6 matches. How many runs are needed in the next match to raise the average to 62? (a) 92 (b) 67 (c) 62 (d) 35
  31. 31.The average of 4 numbers is 13. When one number is taken away, the average of the rest is 16. Which number was taken away? (a) 29 (b) 13 (c) 5 (d) 4
  32. 32.What is the average of 78, 64, 62 and 68? (a) 69 (b) 67 (c) 70 (d) 68
  33. 33.The average of 7 numbers is 36. When one number is taken away, the average of the rest is 32. Which number was taken away? (a) 68 (b) 28 (c) 36 (d) 60
  34. 34.The average of 4 numbers is 28. When one number is taken away, the average of the rest is 30. Which number was taken away? (a) 28 (b) 23 (c) 58 (d) 22
  35. 35.What is the average of 23, 33, 14, 28, 21 and 43? (a) 27 (b) 26 (c) 28 (d) 29
  36. 36.What is the average of 62, 44, 55 and 59? (a) 56 (b) 54 (c) 57 (d) 55
  37. 37.What is the average of 79, 61, 82, 89, 76 and 69? (a) 75 (b) 78 (c) 77 (d) 76
  38. 38.A batter has an average of 55 runs in 5 matches. How many runs are needed in the next match to raise the average to 58? (a) 58 (b) 73 (c) 61 (d) 18
  39. 39.The average of 4 numbers is 22. When one number is taken away, the average of the rest is 21. Which number was taken away? (a) 22 (b) 4 (c) 25 (d) 43
  40. 40.What is the average of all the whole numbers from 8 to 36? (a) 28 (b) 14 (c) 23 (d) 22

Answer key

  1. 46
  2. 23
  3. 25
  4. 48
  5. 52
  6. 76
  7. 71
  8. 95
  9. 40
  10. 98
  11. 32
  12. 69
  13. 67
  14. 26
  15. 57
  16. 29
  17. 78
  18. 43
  19. 43
  20. 100
  21. 22
  22. 37
  23. 51
  24. 16
  25. 22
  26. 69
  27. 55
  28. 64
  29. 62
  30. 92
  31. 4
  32. 68
  33. 60
  34. 22
  35. 27
  36. 55
  37. 76
  38. 73
  39. 25
  40. 22

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