← Maths Olympiad mock test lesson New set →

Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 509 · 40 questions
TalentJR

How to solve it (Spot the topic first): Read the question and name the topic: HCF/LCM, fractions, calendar, ratio, percentage, interest, average, equation or number theory. Use that lesson’s method; write small working on rough paper. Look at the options: rule out answers that are too big, too small or the wrong kind. Check your answer by working backwards when you can.

NameDateTime takenScore ___ / 40
  1. 1.Every pair follows the same rule: 3 : 21, 6 : 42, 8 : 56. What is 5 : ? (a) 36 (b) 34 (c) 23 (d) 35
  2. 2.If 3x − 2 = 7, what is x? (a) 9 (b) 4 (c) 3 (d) 2
  3. 3.If 19 October is a Tuesday, what day of the week is 6 November? (a) Monday (b) Friday (c) Saturday (d) Sunday
  4. 4.If 18 January is a Wednesday, what day of the week is 20 February? (a) Monday (b) Wednesday (c) Tuesday (d) Sunday
  5. 5.What is the simple interest on ₹5500 at 9% per year for 2 years? (a) ₹495 (b) ₹1485 (c) ₹6490 (d) ₹990
  6. 6.What is the remainder when 139 is divided by 3? (a) 2 (b) 0 (c) 1
  7. 7.Two bells ring every 12 minutes and every 14 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 84 min (b) 26 min (c) 168 min (d) 2 min
  8. 8.If 4x + 3 = x + 12, what is x? (a) 3 (b) 4 (c) 5 (d) 2
  9. 9.Every pair follows the same rule: 2 : 16, 5 : 40, 6 : 48. What is 9 : ? (a) 71 (b) 73 (c) 72 (d) 23
  10. 10.What is the average of 34, 33, 11, 5 and 17? (a) 21 (b) 25 (c) 20 (d) 19
  11. 11.If x/5 + 10 = 12, what is x? (a) 2 (b) 110 (c) 50 (d) 10
  12. 12.Which of these numbers is divisible by 9? (a) 638 (b) 646 (c) 653 (d) 639
  13. 13.Which is the greatest: 0.47, 0.4, 0.017, 0.366? (a) 0.47 (b) 0.4 (c) 0.017 (d) 0.366
  14. 14.If 8 notebooks cost ₹40, how much do 10 notebooks cost? (a) ₹55 (b) ₹400 (c) ₹42 (d) ₹50
  15. 15.Every pair follows the same rule: 3 : 8, 5 : 10, 9 : 14. What is 6 : ? (a) 13 (b) 12 (c) 10 (d) 11
  16. 16.Which is the greatest: 0.089, 0.3, 0.221, 0.32? (a) 0.089 (b) 0.3 (c) 0.221 (d) 0.32
  17. 17.4 workers can build a wall in 15 days. How many days will 5 workers take, working at the same speed? (a) 16 days (b) 14 days (c) 12 days (d) 13 days
  18. 18.What is the average of 34, 21, 27, 46 and 52? (a) 35 (b) 36 (c) 45 (d) 37
  19. 19.What is the value of the digit 2 in 13.928? (a) 0.002 (b) 0.02 (c) 0.2 (d) 2
  20. 20.Every pair follows the same rule: 3 : 7, 6 : 34, 7 : 47. What is 5 : ? (a) 9 (b) 21 (c) 23 (d) 24
  21. 21.The average of 7 numbers is 35. When one number is taken away, the average of the rest is 30. Which number was taken away? (a) 35 (b) 65 (c) 64 (d) 66
  22. 22.Which fraction is greater: 4/11 or 6/7? (a) They are equal (b) 4/11 (c) 6/7
  23. 23.If 9 notebooks cost ₹81, how much do 3 notebooks cost? (a) ₹36 (b) ₹75 (c) ₹243 (d) ₹27
  24. 24.What is the remainder when 243 is divided by 5? (a) 4 (b) 3 (c) 1 (d) 2
  25. 25.A teacher has 77 pencils and 99 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 22 (b) 1 (c) 11 (d) 77
  26. 26.Which fraction is greater: 4/9 or 3/10? (a) They are equal (b) 3/10 (c) 4/9
  27. 27.If 6 mangoes cost ₹96, how much do 2 mangoes cost? (a) ₹192 (b) ₹48 (c) ₹92 (d) ₹32
  28. 28.In how many years will ₹9500 earn ₹1140 simple interest at 6% per year? (a) 3 years (b) 2 years (c) 1 year (d) 4 years
  29. 29.What is the value of the digit 9 in 91.724? (a) 9 (b) 0.09 (c) 0.9 (d) 90
  30. 30.7/9 + 5/6 = ? (a) 14/9 (b) 29/18 (c) 4/5 (d) 5/3
  31. 31.The average of 7 numbers is 31. When one number is taken away, the average of the rest is 36. Which number was taken away? (a) 67 (b) 2 (c) 31 (d) 1
  32. 32.What is the average of all the whole numbers from 7 to 39? (a) 24 (b) 32 (c) 23 (d) 16
  33. 33.If 2x − 1 = 3, what is x? (a) 1 (b) 2 (c) 4 (d) 3
  34. 34.What is the value of the digit 3 in 42.351? (a) 0.003 (b) 0.03 (c) 3 (d) 0.3
  35. 35.What is the smallest number of sweets that can be shared equally among 8 children or among 28 children, with none left over? (a) 56 (b) 112 (c) 224 (d) 36
  36. 36.What is the remainder when 298 is divided by 5? (a) 4 (b) 3 (c) 1 (d) 2
  37. 37.If 3 notebooks cost ₹51, how much do 4 notebooks cost? (a) ₹204 (b) ₹85 (c) ₹68 (d) ₹52
  38. 38.Two ribbons are 9 cm and 21 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 3 cm (b) 12 cm (c) 1 cm (d) 9 cm
  39. 39.Every pair follows the same rule: 3 : 15, 5 : 23, 8 : 35. What is 6 : ? (a) 28 (b) 27 (c) 30 (d) 18
  40. 40.What is the units digit of 8^59? (a) 4 (b) 2 (c) 6 (d) 8

Answer key

  1. 35
  2. 3
  3. Saturday
  4. Monday
  5. ₹990
  6. 1
  7. 84 min
  8. 3
  9. 72
  10. 20
  11. 10
  12. 639
  13. 0.47
  14. ₹50
  15. 11
  16. 0.32
  17. 12 days
  18. 36
  19. 0.02
  20. 23
  21. 65
  22. 6/7
  23. ₹27
  24. 3
  25. 11
  26. 4/9
  27. ₹32
  28. 2 years
  29. 90
  30. 29/18
  31. 1
  32. 23
  33. 2
  34. 0.3
  35. 56
  36. 3
  37. ₹68
  38. 3 cm
  39. 27
  40. 2

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