← Maths Olympiad mock test lesson New set →

Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 430 · 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.What is 20% of 360? (a) 72 (b) 144 (c) 720 (d) 288
  2. 2.A rectangle is 6 cm long and 2 cm wide. What is its area? (a) 12 sq cm (b) 18 sq cm (c) 8 sq cm (d) 16 sq cm
  3. 3.What is the smallest number of sweets that can be shared equally among 15 children or among 18 children, with none left over? (a) 180 (b) 33 (c) 90 (d) 270
  4. 4.If 5x + 17 = 87, what is x? (a) 14 (b) 13 (c) 15 (d) 70
  5. 5.Two bells ring every 12 minutes and every 28 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 40 min (b) 4 min (c) 84 min (d) 336 min
  6. 6.₹286 is shared between two friends in the ratio 5 : 6. How much is the bigger share? (a) ₹143 (b) ₹130 (c) ₹156 (d) ₹26
  7. 7.2.25 + 4.3 = ? (a) 6.45 (b) 2.68 (c) 6.55 (d) 6.65
  8. 8.If 14 March is a Monday, what day of the week is 26 March? (a) Sunday (b) Monday (c) Friday (d) Saturday
  9. 9.Which fraction is greater: 1/12 or 1/8? (a) 1/12 (b) They are equal (c) 1/8
  10. 10.If 6x − 12 = 6, what is x? (a) 18 (b) 2 (c) 4 (d) 3
  11. 11.The simple interest on ₹2500 for 5 years is ₹1250. What is the rate per year? (a) 11% (b) 10% (c) 50% (d) 9%
  12. 12.If x/3 + 10 = 13, what is x? (a) 9 (b) 69 (c) 3 (d) 29
  13. 13.A shopkeeper buys a toy for ₹420 and sells it for ₹504. What is his profit percent? (a) 25% (b) 20% (c) 84% (d) 15%
  14. 14.₹140 is shared between two friends in the ratio 2 : 3. How much is the bigger share? (a) ₹84 (b) ₹56 (c) ₹70 (d) ₹28
  15. 15.Which is the smallest: 0.2, 0.28, 0.096, 0.115? (a) 0.2 (b) 0.28 (c) 0.096 (d) 0.115
  16. 16.What is the remainder when 272 is divided by 10? (a) 8 (b) 1 (c) 2 (d) 3
  17. 17.₹2500 is invested at 7% per year simple interest. What is the amount after 5 years? (a) ₹875 (b) ₹2675 (c) ₹3375 (d) ₹3550
  18. 18.If 4x − 6 = 14, what is x? (a) 2 (b) 6 (c) 5 (d) 20
  19. 19.Two ribbons are 14 cm and 49 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 14 cm (b) 7 cm (c) 35 cm (d) 1 cm
  20. 20.What is the simple interest on ₹3000 at 7% per year for 2 years? (a) ₹420 (b) ₹3420 (c) ₹630 (d) ₹210
  21. 21.What is the smallest number of sweets that can be shared equally among 6 children or among 9 children, with none left over? (a) 54 (b) 18 (c) 15 (d) 36
  22. 22.What is the value of the digit 7 in 72.349? (a) 7 (b) 0.7 (c) 0.07 (d) 70
  23. 23.If 5x + 17 = 82, what is x? (a) 65 (b) 13 (c) 14 (d) 12
  24. 24.A shopkeeper buys a toy for ₹500 and sells it for ₹625. What is his profit percent? (a) 25% (b) 30% (c) 20% (d) 26%
  25. 25.₹42 is shared between two friends in the ratio 1 : 2. How much is the bigger share? (a) ₹28 (b) ₹21 (c) ₹42 (d) ₹14
  26. 26.If 24 April is a Sunday, what day of the week is 17 May? (a) Tuesday (b) Wednesday (c) Thursday (d) Monday
  27. 27.If 4x − 14 = 18, what is x? (a) 32 (b) 9 (c) 1 (d) 8
  28. 28.₹234 is shared between two friends in the ratio 5 : 8. How much is the bigger share? (a) ₹18 (b) ₹117 (c) ₹90 (d) ₹144
  29. 29.What is 5% of 100? (a) 50 (b) 10 (c) 5 (d) 95
  30. 30.Which fraction is greater: 2/5 or 7/11? (a) 2/5 (b) 7/11 (c) They are equal
  31. 31.Which of these numbers is divisible by 6? (a) 5258 (b) 5266 (c) 5269 (d) 5262
  32. 32.6 workers can build a wall in 13 days. How many days will 2 workers take, working at the same speed? (a) 9 days (b) 39 days (c) 40 days (d) 17 days
  33. 33.What is 1/4 of 44? (a) 22 (b) 33 (c) 12 (d) 11
  34. 34.What is the average of 65, 68, 74 and 97? (a) 78 (b) 75 (c) 76 (d) 77
  35. 35.If 8x + 13 = 5x + 22, what is x? (a) 4 (b) 5 (c) 3 (d) 2
  36. 36.What is the average of 52, 39, 41, 35 and 18? (a) 36 (b) 38 (c) 39 (d) 37
  37. 37.If 4 October is a Friday, what day of the week is 17 October? (a) Saturday (b) Thursday (c) Friday (d) Wednesday
  38. 38.The simple interest on ₹2500 for 4 years is ₹800. What is the rate per year? (a) 9% (b) 32% (c) 7% (d) 8%
  39. 39.2.23 + 2.3 = ? (a) 4.53 (b) 4.43 (c) 4.63 (d) 2.46
  40. 40.Today is Tuesday. What day of the week will it be after 42 days? (a) Tuesday (b) Thursday (c) Wednesday (d) Monday

Answer key

  1. 72
  2. 12 sq cm
  3. 90
  4. 14
  5. 84 min
  6. ₹156
  7. 6.55
  8. Saturday
  9. 1/8
  10. 3
  11. 10%
  12. 9
  13. 20%
  14. ₹84
  15. 0.096
  16. 2
  17. ₹3375
  18. 5
  19. 7 cm
  20. ₹420
  21. 18
  22. 70
  23. 13
  24. 25%
  25. ₹28
  26. Tuesday
  27. 8
  28. ₹144
  29. 5
  30. 7/11
  31. 5262
  32. 39 days
  33. 11
  34. 76
  35. 3
  36. 37
  37. Thursday
  38. 8%
  39. 4.53
  40. Tuesday

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