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Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 526 · 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 the smallest number you must add to 133 to make it divisible by 3? (a) 2 (b) 1
  2. 2.A shopkeeper buys a toy for ₹540 and sells it for ₹594. What is his profit percent? (a) 15% (b) 10% (c) 54% (d) 5%
  3. 3.Two ribbons are 33 cm and 55 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 11 cm (b) 22 cm (c) 1 cm (d) 33 cm
  4. 4.A shopkeeper buys a toy for ₹760 and sells it for ₹722. What is his loss percent? (a) 10% (b) 5% (c) 6% (d) 38%
  5. 5.5 workers can build a wall in 8 days. How many days will 2 workers take, working at the same speed? (a) 21 days (b) 11 days (c) 5 days (d) 20 days
  6. 6.What is the smallest number you must add to 273 to make it divisible by 10? (a) 8 (b) 7 (c) 3 (d) 6
  7. 7.In how many years will ₹5000 earn ₹2250 simple interest at 9% per year? (a) 4 years (b) 10 years (c) 6 years (d) 5 years
  8. 8.If 4x + 29 = 49, what is x? (a) 20 (b) 5 (c) 6 (d) 4
  9. 9.6.71 + 7.1 = ? (a) 13.71 (b) 13.91 (c) 7.42 (d) 13.81
  10. 10.A rectangle is 13 cm long and 11 cm wide. What is its perimeter? (a) 37 cm (b) 48 cm (c) 143 cm (d) 24 cm
  11. 11.Which is the smallest: 0.589, 0.66, 0.6, 0.032? (a) 0.589 (b) 0.66 (c) 0.6 (d) 0.032
  12. 12.What is 3/4 of 16? (a) 12 (b) 16 (c) 4 (d) 13
  13. 13.Which is the smallest: 0.65, 0.6, 0.538, 0.023? (a) 0.65 (b) 0.6 (c) 0.538 (d) 0.023
  14. 14.₹55 is shared between two friends in the ratio 5 : 6. How much is the bigger share? (a) ₹35 (b) ₹5 (c) ₹30 (d) ₹25
  15. 15.If x/4 + 12 = 16, what is x? (a) 16 (b) 112 (c) 52 (d) 4
  16. 16.Two ribbons are 15 cm and 35 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 1 cm (b) 15 cm (c) 5 cm (d) 20 cm
  17. 17.Every pair follows the same rule: 2 : 6, 3 : 10, 5 : 18. What is 4 : ? (a) 8 (b) 12 (c) 15 (d) 14
  18. 18.Every pair follows the same rule: 3 : 13, 4 : 20, 8 : 68. What is 5 : ? (a) 32 (b) 29 (c) 30 (d) 15
  19. 19.The simple interest on ₹9500 for 5 years is ₹2375. What is the rate per year? (a) 6% (b) 5% (c) 25% (d) 4%
  20. 20.What is the smallest number of sweets that can be shared equally among 15 children or among 20 children, with none left over? (a) 120 (b) 60 (c) 35 (d) 300
  21. 21.Today is Tuesday. What day of the week will it be after 20 days? (a) Sunday (b) Monday (c) Tuesday (d) Wednesday
  22. 22.A shopkeeper buys a toy for ₹200 and sells it for ₹300. What is his profit percent? (a) 55% (b) 50% (c) 51% (d) 45%
  23. 23.₹315 is shared between two friends in the ratio 2 : 7. How much is the bigger share? (a) ₹280 (b) ₹35 (c) ₹245 (d) ₹70
  24. 24.A rectangle has an area of 39 sq cm and a length of 13 cm. What is its width? (a) 6 cm (b) 26 cm (c) 3 cm (d) 4 cm
  25. 25.What is the smallest number you must add to 282 to make it divisible by 5? (a) 1 (b) 4 (c) 3 (d) 2
  26. 26.If 4 kites cost ₹20, how much do 8 kites cost? (a) ₹40 (b) ₹160 (c) ₹24 (d) ₹45
  27. 27.If 31 March is a Friday, what day of the week is 12 April? (a) Thursday (b) Friday (c) Tuesday (d) Wednesday
  28. 28.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 66? (a) 66 (b) 72 (c) 96 (d) 36
  29. 29.A bag marked ₹1640 is sold at a 25% discount. What is its selling price? (a) ₹1615 (b) ₹410 (c) ₹2050 (d) ₹1230
  30. 30.A rectangle is 18 cm long and 10 cm wide. What is its perimeter? (a) 28 cm (b) 180 cm (c) 56 cm (d) 46 cm
  31. 31.A batter has an average of 54 runs in 8 matches. How many runs are needed in the next match to raise the average to 60? (a) 108 (b) 54 (c) 66 (d) 60
  32. 32.A rectangle is 17 cm long and 8 cm wide. What is its perimeter? (a) 42 cm (b) 50 cm (c) 136 cm (d) 25 cm
  33. 33.What is the value of the digit 4 in 27.894? (a) 0.4 (b) 4 (c) 0.04 (d) 0.004
  34. 34.In how many years will ₹4000 earn ₹1200 simple interest at 10% per year? (a) 4 years (b) 2 years (c) 3 years (d) 6 years
  35. 35.₹98 is shared between two friends in the ratio 2 : 5. How much is the bigger share? (a) ₹28 (b) ₹70 (c) ₹49 (d) ₹14
  36. 36.Two ribbons are 30 cm and 35 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 1 cm (b) 30 cm (c) 210 cm (d) 5 cm
  37. 37.₹248 is shared between two friends in the ratio 3 : 5. How much is the bigger share? (a) ₹31 (b) ₹93 (c) ₹155 (d) ₹124
  38. 38.A shopkeeper buys a toy for ₹940 and sells it for ₹846. What is his loss percent? (a) 15% (b) 10% (c) 5% (d) 94%
  39. 39.What is the average of 56, 35, 43, 55, 38 and 43? (a) 54 (b) 46 (c) 45 (d) 44
  40. 40.A bag marked ₹200 is sold at a 25% discount. What is its selling price? (a) ₹250 (b) ₹150 (c) ₹50 (d) ₹175

Answer key

  1. 2
  2. 10%
  3. 11 cm
  4. 5%
  5. 20 days
  6. 7
  7. 5 years
  8. 5
  9. 13.81
  10. 48 cm
  11. 0.032
  12. 12
  13. 0.023
  14. ₹30
  15. 16
  16. 5 cm
  17. 14
  18. 29
  19. 5%
  20. 60
  21. Monday
  22. 50%
  23. ₹245
  24. 3 cm
  25. 3
  26. ₹40
  27. Wednesday
  28. 96
  29. ₹1230
  30. 56 cm
  31. 108
  32. 50 cm
  33. 0.004
  34. 3 years
  35. ₹70
  36. 5 cm
  37. ₹155
  38. 10%
  39. 45
  40. ₹150

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