← Maths Olympiad mock test lesson New set →

Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 919 · 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.₹28 is shared between two friends in the ratio 1 : 3. How much is the bigger share? (a) ₹28 (b) ₹21 (c) ₹7 (d) ₹14
  2. 2.A rectangle is 20 cm long and 7 cm wide. What is its area? (a) 27 sq cm (b) 54 sq cm (c) 160 sq cm (d) 140 sq cm
  3. 3.In how many years will ₹2000 earn ₹500 simple interest at 5% per year? (a) 4 years (b) 5 years (c) 6 years (d) 10 years
  4. 4.What is the value of the digit 1 in 92.143? (a) 0.01 (b) 0.1 (c) 1 (d) 0.001
  5. 5.A rectangle is 8 cm long and 5 cm wide. What is its perimeter? (a) 40 cm (b) 13 cm (c) 21 cm (d) 26 cm
  6. 6.Every pair follows the same rule: 2 : 13, 4 : 15, 6 : 17. What is 9 : ? (a) 21 (b) 19 (c) 22 (d) 20
  7. 7.The average of 4 numbers is 13. When one number is taken away, the average of the rest is 9. Which number was taken away? (a) 13 (b) 16 (c) 22 (d) 25
  8. 8.If 2 pens cost ₹24, how much do 7 pens cost? (a) ₹168 (b) ₹29 (c) ₹84 (d) ₹96
  9. 9.Which fraction is greater: 5/8 or 1/5? (a) 5/8 (b) They are equal (c) 1/5
  10. 10.If 7x + 11 = 4x + 20, what is x? (a) 3 (b) 4 (c) 2 (d) 5
  11. 11.4 workers can build a wall in 4 days. How many days will 8 workers take, working at the same speed? (a) 1 day (b) 3 days (c) 8 days (d) 2 days
  12. 12.Every pair follows the same rule: 2 : 3, 6 : 19, 9 : 31. What is 4 : ? (a) 5 (b) 12 (c) 10 (d) 11
  13. 13.₹350 is shared between two friends in the ratio 1 : 9. How much is the bigger share? (a) ₹35 (b) ₹350 (c) ₹175 (d) ₹315
  14. 14.What is the average of all the whole numbers from 14 to 40? (a) 13 (b) 27 (c) 28 (d) 26
  15. 15.9.41 + 3.8 = ? (a) 13.21 (b) 13.31 (c) 9.79 (d) 13.11
  16. 16.If 13 October is a Wednesday, what day of the week is 21 October? (a) Saturday (b) Friday (c) Wednesday (d) Thursday
  17. 17.What is the value of the digit 5 in 32.758? (a) 0.05 (b) 5 (c) 0.5 (d) 0.005
  18. 18.The average of 4 numbers is 50. When one number is taken away, the average of the rest is 51. Which number was taken away? (a) 50 (b) 47 (c) 48 (d) 101
  19. 19.If 2x + 11 = 17, what is x? (a) 14 (b) 6 (c) 4 (d) 3
  20. 20.1.32 + 7.1 = ? (a) 8.42 (b) 2.03 (c) 8.52 (d) 8.32
  21. 21.Two bells ring every 16 minutes and every 28 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 44 min (b) 448 min (c) 112 min (d) 4 min
  22. 22.Every pair follows the same rule: 2 : 16, 3 : 21, 4 : 26. What is 9 : ? (a) 52 (b) 72 (c) 23 (d) 51
  23. 23.If 8 July is a Wednesday, what day of the week is 18 July? (a) Friday (b) Monday (c) Sunday (d) Saturday
  24. 24.A rectangle has an area of 153 sq cm and a length of 17 cm. What is its width? (a) 10 cm (b) 18 cm (c) 9 cm (d) 136 cm
  25. 25.What is the average of 29, 50, 50 and 23? (a) 38 (b) 39 (c) 40 (d) 37
  26. 26.What is the smallest number of sweets that can be shared equally among 24 children or among 30 children, with none left over? (a) 120 (b) 54 (c) 720 (d) 240
  27. 27.If 4 August is a Wednesday, what day of the week is 18 August? (a) Friday (b) Tuesday (c) Wednesday (d) Thursday
  28. 28.Two bells ring every 15 minutes and every 35 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 50 min (b) 5 min (c) 525 min (d) 105 min
  29. 29.Today is Thursday. What day of the week will it be after 52 days? (a) Tuesday (b) Monday (c) Sunday (d) Saturday
  30. 30.Which of these numbers is divisible by 3? (a) 2472 (b) 2474 (c) 2470 (d) 2476
  31. 31.What is the average of all the whole numbers from 20 to 38? (a) 9 (b) 30 (c) 18 (d) 29
  32. 32.What is the simple interest on ₹5500 at 12% per year for 5 years? (a) ₹660 (b) ₹3960 (c) ₹8800 (d) ₹3300
  33. 33.Two ribbons are 21 cm and 28 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 21 cm (b) 7 cm (c) 84 cm (d) 1 cm
  34. 34.If 20 May is a Monday, what day of the week is 16 June? (a) Saturday (b) Tuesday (c) Monday (d) Sunday
  35. 35.A batter has an average of 54 runs in 5 matches. How many runs are needed in the next match to raise the average to 60? (a) 36 (b) 90 (c) 66 (d) 60
  36. 36.What is the smallest number of sweets that can be shared equally among 6 children or among 10 children, with none left over? (a) 16 (b) 60 (c) 31 (d) 30
  37. 37.A batter has an average of 43 runs in 9 matches. How many runs are needed in the next match to raise the average to 48? (a) 48 (b) 53 (c) 50 (d) 93
  38. 38.₹294 is shared between two friends in the ratio 1 : 6. How much is the bigger share? (a) ₹42 (b) ₹147 (c) ₹294 (d) ₹252
  39. 39.What is the average of all the whole numbers from 18 to 50? (a) 35 (b) 34 (c) 16 (d) 32
  40. 40.A shopkeeper buys a toy for ₹260 and sells it for ₹221. What is his loss percent? (a) 20% (b) 15% (c) 39% (d) 10%

Answer key

  1. ₹21
  2. 140 sq cm
  3. 5 years
  4. 0.1
  5. 26 cm
  6. 20
  7. 25
  8. ₹84
  9. 5/8
  10. 3
  11. 2 days
  12. 11
  13. ₹315
  14. 27
  15. 13.21
  16. Thursday
  17. 0.05
  18. 47
  19. 3
  20. 8.42
  21. 112 min
  22. 51
  23. Saturday
  24. 9 cm
  25. 38
  26. 120
  27. Wednesday
  28. 105 min
  29. Sunday
  30. 2472
  31. 29
  32. ₹3300
  33. 7 cm
  34. Sunday
  35. 90
  36. 30
  37. 93
  38. ₹252
  39. 34
  40. 15%

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