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Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 52 · 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.A rectangle is 17 cm long and 4 cm wide. What is its area? (a) 68 sq cm (b) 21 sq cm (c) 85 sq cm (d) 42 sq cm
  2. 2.Which of these numbers is divisible by 4? (a) 625 (b) 618 (c) 620 (d) 621
  3. 3.What is the average of all the whole numbers from 8 to 14? (a) 6 (b) 12 (c) 3 (d) 11
  4. 4.Every pair follows the same rule: 2 : 3, 3 : 8, 5 : 24. What is 4 : ? (a) 5 (b) 14 (c) 16 (d) 15
  5. 5.What is the units digit of 8^27? (a) 6 (b) 4 (c) 2 (d) 8
  6. 6.A shopkeeper buys a toy for ₹260 and sells it for ₹338. What is his profit percent? (a) 25% (b) 35% (c) 78% (d) 30%
  7. 7.In how many years will ₹1500 earn ₹540 simple interest at 12% per year? (a) 4 years (b) 6 years (c) 3 years (d) 2 years
  8. 8.A rectangle has an area of 220 sq cm and a length of 20 cm. What is its width? (a) 12 cm (b) 200 cm (c) 22 cm (d) 11 cm
  9. 9.Which of these numbers is divisible by 3? (a) 2065 (b) 2068 (c) 2062 (d) 2064
  10. 10.Every pair follows the same rule: 4 : 12, 5 : 15, 9 : 27. What is 8 : ? (a) 16 (b) 23 (c) 24 (d) 25
  11. 11.What is the simple interest on ₹7000 at 11% per year for 5 years? (a) ₹770 (b) ₹4620 (c) ₹3850 (d) ₹10850
  12. 12.What is the smallest number of sweets that can be shared equally among 9 children or among 15 children, with none left over? (a) 90 (b) 24 (c) 135 (d) 45
  13. 13.If x/5 + 8 = 10, what is x? (a) 10 (b) 42 (c) 90 (d) 2
  14. 14.If 3x + 4 = 49, what is x? (a) 14 (b) 15 (c) 16 (d) 45
  15. 15.What is the smallest number you must add to 719 to make it divisible by 9? (a) 1 (b) 8 (c) 3 (d) 2
  16. 16.Every pair follows the same rule: 5 : 23, 6 : 24, 7 : 25. What is 2 : ? (a) 21 (b) 19 (c) 20 (d) 22
  17. 17.What is the average of all the whole numbers from 43 to 55? (a) 12 (b) 50 (c) 49 (d) 6
  18. 18.9 workers can build a wall in 10 days. How many days will 5 workers take, working at the same speed? (a) 6 days (b) 18 days (c) 19 days (d) 14 days
  19. 19.What is the smallest number of sweets that can be shared equally among 8 children or among 10 children, with none left over? (a) 40 (b) 41 (c) 80 (d) 18
  20. 20.The simple interest on ₹1000 for 2 years is ₹240. What is the rate per year? (a) 11% (b) 13% (c) 12% (d) 24%
  21. 21.Every pair follows the same rule: 5 : 18, 6 : 19, 9 : 22. What is 4 : ? (a) 16 (b) 19 (c) 18 (d) 17
  22. 22.If 26 October is a Monday, what day of the week is 6 November? (a) Thursday (b) Saturday (c) Sunday (d) Friday
  23. 23.A shopkeeper buys a toy for ₹980 and sells it for ₹1078. What is his profit percent? (a) 15% (b) 98% (c) 5% (d) 10%
  24. 24.If 6x + 5 = 2x + 17, what is x? (a) 5 (b) 2 (c) 4 (d) 3
  25. 25.Today is Friday. What day of the week will it be after 87 days? (a) Monday (b) Wednesday (c) Tuesday (d) Sunday
  26. 26.₹10000 is invested at 10% per year simple interest. What is the amount after 3 years? (a) ₹13000 (b) ₹11000 (c) ₹14000 (d) ₹3000
  27. 27.4.73 + 7.1 = ? (a) 11.93 (b) 11.73 (c) 11.83 (d) 5.44
  28. 28.A shopkeeper buys a toy for ₹160 and sells it for ₹152. What is his loss percent? (a) 10% (b) 5% (c) 6% (d) 8%
  29. 29.Which is the smallest: 0.63, 0.036, 0.6, 0.522? (a) 0.63 (b) 0.036 (c) 0.6 (d) 0.522
  30. 30.Two ribbons are 48 cm and 54 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 432 cm (b) 3 cm (c) 6 cm (d) 48 cm
  31. 31.A shopkeeper buys a toy for ₹940 and sells it for ₹987. What is his profit percent? (a) 10% (b) 47% (c) 5% (d) 6%
  32. 32.Every pair follows the same rule: 5 : 23, 6 : 34, 8 : 62. What is 3 : ? (a) 21 (b) 7 (c) 6 (d) 8
  33. 33.What is the value of the digit 4 in 85.419? (a) 4 (b) 0.4 (c) 0.004 (d) 0.04
  34. 34.If 9x + 5 = 5x + 29, what is x? (a) 5 (b) 7 (c) 6 (d) 8
  35. 35.If 24 March is a Thursday, what day of the week is 9 April? (a) Sunday (b) Friday (c) Saturday (d) Monday
  36. 36.Every pair follows the same rule: 3 : 7, 5 : 11, 9 : 19. What is 7 : ? (a) 15 (b) 11 (c) 16 (d) 14
  37. 37.₹165 is shared between two friends in the ratio 3 : 8. How much is the bigger share? (a) ₹15 (b) ₹135 (c) ₹45 (d) ₹120
  38. 38.If 26 September is a Wednesday, what day of the week is 9 October? (a) Wednesday (b) Thursday (c) Monday (d) Tuesday
  39. 39.Every pair follows the same rule: 2 : 13, 4 : 25, 9 : 90. What is 5 : ? (a) 34 (b) 38 (c) 16 (d) 35
  40. 40.₹6500 is invested at 12% per year simple interest. What is the amount after 2 years? (a) ₹8060 (b) ₹7280 (c) ₹1560 (d) ₹8840

Answer key

  1. 68 sq cm
  2. 620
  3. 11
  4. 15
  5. 2
  6. 30%
  7. 3 years
  8. 11 cm
  9. 2064
  10. 24
  11. ₹3850
  12. 45
  13. 10
  14. 15
  15. 1
  16. 20
  17. 49
  18. 18 days
  19. 40
  20. 12%
  21. 17
  22. Friday
  23. 10%
  24. 3
  25. Monday
  26. ₹13000
  27. 11.83
  28. 5%
  29. 0.036
  30. 6 cm
  31. 5%
  32. 7
  33. 0.4
  34. 6
  35. Saturday
  36. 15
  37. ₹120
  38. Tuesday
  39. 34
  40. ₹8060

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