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Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 661 · 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.Two ribbons are 28 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) 7 cm (b) 1 cm (c) 28 cm (d) 21 cm
  2. 2.A rectangle has an area of 90 sq cm and a length of 10 cm. What is its width? (a) 18 cm (b) 10 cm (c) 80 cm (d) 9 cm
  3. 3.What is 1/2 of 6? (a) 3 (b) 4 (c) 6 (d) 2
  4. 4.What is the smallest number you must add to 562 to make it divisible by 12? (a) 1 (b) 3 (c) 10 (d) 2
  5. 5.A square has a perimeter of 24 cm. What is its area? (a) 12 sq cm (b) 24 sq cm (c) 36 sq cm (d) 49 sq cm
  6. 6.A shopkeeper buys a toy for ₹220 and sells it for ₹187. What is his loss percent? (a) 10% (b) 20% (c) 33% (d) 15%
  7. 7.What is the smallest number of sweets that can be shared equally among 9 children or among 12 children, with none left over? (a) 21 (b) 108 (c) 36 (d) 72
  8. 8.If 16 April is a Saturday, what day of the week is 14 May? (a) Friday (b) Sunday (c) Saturday (d) Monday
  9. 9.What is the simple interest on ₹2500 at 7% per year for 2 years? (a) ₹175 (b) ₹525 (c) ₹350 (d) ₹2850
  10. 10.What is the value of the digit 8 in 19.583? (a) 0.8 (b) 0.08 (c) 0.008 (d) 8
  11. 11.The simple interest on ₹3500 for 5 years is ₹2100. What is the rate per year? (a) 11% (b) 12% (c) 13% (d) 60%
  12. 12.Today is Tuesday. What day of the week will it be after 80 days? (a) Sunday (b) Thursday (c) Saturday (d) Friday
  13. 13.If 8 pens cost ₹32, how much do 12 pens cost? (a) ₹384 (b) ₹36 (c) ₹52 (d) ₹48
  14. 14.Every pair follows the same rule: 3 : 8, 7 : 16, 8 : 18. What is 2 : ? (a) 6 (b) 8 (c) 5 (d) 7
  15. 15.What is the smallest number of sweets that can be shared equally among 6 children or among 21 children, with none left over? (a) 42 (b) 84 (c) 27 (d) 126
  16. 16.₹110 is shared between two friends in the ratio 4 : 7. How much is the bigger share? (a) ₹40 (b) ₹10 (c) ₹70 (d) ₹55
  17. 17.Every pair follows the same rule: 2 : 4, 7 : 49, 9 : 81. What is 5 : ? (a) 7 (b) 10 (c) 17 (d) 25
  18. 18.What is 3/4 of 20? (a) 16 (b) 5 (c) 20 (d) 15
  19. 19.If 25 May is a Sunday, what day of the week is 6 June? (a) Saturday (b) Thursday (c) Sunday (d) Friday
  20. 20.What is the average of 43, 41, 54, 47 and 10? (a) 40 (b) 39 (c) 41 (d) 38
  21. 21.What is the remainder when 134 is divided by 7? (a) 2 (b) 1 (c) 0 (d) 6
  22. 22.Two bells ring every 15 minutes and every 25 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 40 min (b) 5 min (c) 75 min (d) 375 min
  23. 23.What is the remainder when 687 is divided by 11? (a) 7 (b) 4 (c) 5 (d) 6
  24. 24.A shopkeeper buys a toy for ₹360 and sells it for ₹396. What is his profit percent? (a) 36% (b) 15% (c) 10% (d) 5%
  25. 25.Which fraction is greater: 1/5 or 1/3? (a) 1/3 (b) They are equal (c) 1/5
  26. 26.Which is the greatest: 0.068, 0.7, 0.74, 0.655? (a) 0.068 (b) 0.7 (c) 0.74 (d) 0.655
  27. 27.5.67 + 2.3 = ? (a) 7.87 (b) 7.97 (c) 8.07 (d) 5.9
  28. 28.8 workers can build a wall in 7 days. How many days will 4 workers take, working at the same speed? (a) 15 days (b) 14 days (c) 11 days (d) 3 days
  29. 29.The average of 4 numbers is 22. When one number is taken away, the average of the rest is 27. Which number was taken away? (a) 7 (b) 49 (c) 8 (d) 22
  30. 30.Which is the greatest: 0.83, 0.093, 0.738, 0.8? (a) 0.83 (b) 0.093 (c) 0.738 (d) 0.8
  31. 31.Which fraction is greater: 7/9 or 3/8? (a) 7/9 (b) They are equal (c) 3/8
  32. 32.If x/4 + 5 = 15, what is x? (a) 55 (b) 10 (c) 40 (d) 80
  33. 33.₹5500 is invested at 10% per year simple interest. What is the amount after 4 years? (a) ₹2200 (b) ₹6050 (c) ₹8250 (d) ₹7700
  34. 34.Today is Thursday. What day of the week will it be after 55 days? (a) Thursday (b) Friday (c) Tuesday (d) Wednesday
  35. 35.If 3x + 5 = 2x + 9, what is x? (a) 5 (b) 14 (c) 6 (d) 4
  36. 36.Which fraction is greater: 4/5 or 3/11? (a) 4/5 (b) 3/11 (c) They are equal
  37. 37.If x/3 + 14 = 18, what is x? (a) 12 (b) 96 (c) 4 (d) 40
  38. 38.Which fraction is greater: 1/4 or 7/12? (a) 7/12 (b) 1/4 (c) They are equal
  39. 39.Every pair follows the same rule: 6 : 22, 8 : 30, 9 : 34. What is 7 : ? (a) 23 (b) 25 (c) 26 (d) 27
  40. 40.What is the units digit of 2^44? (a) 2 (b) 6 (c) 4 (d) 8

Answer key

  1. 7 cm
  2. 9 cm
  3. 3
  4. 2
  5. 36 sq cm
  6. 15%
  7. 36
  8. Saturday
  9. ₹350
  10. 0.08
  11. 12%
  12. Friday
  13. ₹48
  14. 6
  15. 42
  16. ₹70
  17. 25
  18. 15
  19. Friday
  20. 39
  21. 1
  22. 75 min
  23. 5
  24. 10%
  25. 1/3
  26. 0.74
  27. 7.97
  28. 14 days
  29. 7
  30. 0.83
  31. 7/9
  32. 40
  33. ₹7700
  34. Wednesday
  35. 4
  36. 4/5
  37. 12
  38. 7/12
  39. 26
  40. 6

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