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Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 499 · 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.If 3x − 6 = 15, what is x? (a) 7 (b) 3 (c) 21 (d) 8
  2. 2.Today is Wednesday. What day of the week will it be after 31 days? (a) Friday (b) Monday (c) Saturday (d) Sunday
  3. 3.If 1 August is a Tuesday, what day of the week is 14 August? (a) Tuesday (b) Sunday (c) Wednesday (d) Monday
  4. 4.Every pair follows the same rule: 4 : 15, 5 : 18, 8 : 27. What is 3 : ? (a) 14 (b) 11 (c) 12 (d) 13
  5. 5.What is the remainder when 210 is divided by 11? (a) 1 (b) 0 (c) 2 (d) 10
  6. 6.2/3 + 5/7 = ? (a) 7/10 (b) 29/21 (c) 4/3 (d) 10/7
  7. 7.If 2 August is a Wednesday, what day of the week is 18 August? (a) Friday (b) Thursday (c) Sunday (d) Saturday
  8. 8.Which fraction is greater: 6/11 or 9/10? (a) 9/10 (b) They are equal (c) 6/11
  9. 9.If 6x + 14 = 3x + 41, what is x? (a) 10 (b) 11 (c) 3 (d) 9
  10. 10.5 workers can build a wall in 11 days. How many days will 11 workers take, working at the same speed? (a) 17 days (b) 5 days (c) 6 days (d) 4 days
  11. 11.What is the average of all the whole numbers from 19 to 49? (a) 15 (b) 35 (c) 30 (d) 34
  12. 12.What is the smallest number of sweets that can be shared equally among 4 children or among 14 children, with none left over? (a) 28 (b) 18 (c) 56 (d) 29
  13. 13.If 6x + 10 = 70, what is x? (a) 60 (b) 11 (c) 9 (d) 10
  14. 14.Today is Saturday. What day of the week will it be after 54 days? (a) Saturday (b) Wednesday (c) Friday (d) Thursday
  15. 15.A rectangle is 15 cm long and 12 cm wide. What is its perimeter? (a) 54 cm (b) 27 cm (c) 42 cm (d) 180 cm
  16. 16.A bag marked ₹380 is sold at a 50% discount. What is its selling price? (a) ₹330 (b) ₹191 (c) ₹190 (d) ₹570
  17. 17.If 6 pens cost ₹60, how much do 8 pens cost? (a) ₹480 (b) ₹62 (c) ₹80 (d) ₹90
  18. 18.If 5 December is a Sunday, what day of the week is 16 December? (a) Wednesday (b) Thursday (c) Saturday (d) Friday
  19. 19.1/2 + 4/6 = ? (a) 4/3 (b) 1 (c) 7/6 (d) 5/8
  20. 20.What is 1/2 of 6? (a) 6 (b) 4 (c) 2 (d) 3
  21. 21.The simple interest on ₹9000 for 5 years is ₹2700. What is the rate per year? (a) 30% (b) 6% (c) 5% (d) 7%
  22. 22.₹7500 is invested at 5% per year simple interest. What is the amount after 4 years? (a) ₹9375 (b) ₹1500 (c) ₹9000 (d) ₹7875
  23. 23.What is the average of all the whole numbers from 22 to 46? (a) 34 (b) 35 (c) 12 (d) 24
  24. 24.4 workers can build a wall in 5 days. How many days will 2 workers take, working at the same speed? (a) 7 days (b) 11 days (c) 3 days (d) 10 days
  25. 25.₹528 is shared between two friends in the ratio 5 : 7. How much is the bigger share? (a) ₹308 (b) ₹220 (c) ₹264 (d) ₹44
  26. 26.Today is Wednesday. What day of the week will it be after 90 days? (a) Monday (b) Wednesday (c) Thursday (d) Tuesday
  27. 27.A bag marked ₹1960 is sold at a 10% discount. What is its selling price? (a) ₹2156 (b) ₹196 (c) ₹1950 (d) ₹1764
  28. 28.What is the smallest number of sweets that can be shared equally among 16 children or among 20 children, with none left over? (a) 36 (b) 320 (c) 160 (d) 80
  29. 29.Every pair follows the same rule: 3 : 9, 5 : 25, 8 : 64. What is 6 : ? (a) 38 (b) 18 (c) 36 (d) 12
  30. 30.If 3 December is a Monday, what day of the week is 16 December? (a) Sunday (b) Tuesday (c) Saturday (d) Monday
  31. 31.What is 6/7 of 84? (a) 12 (b) 73 (c) 84 (d) 72
  32. 32.If 7x + 1 = 15, what is x? (a) 2 (b) 14 (c) 3 (d) 1
  33. 33.Which is the greatest: 0.081, 0.616, 0.78, 0.7? (a) 0.081 (b) 0.616 (c) 0.78 (d) 0.7
  34. 34.7/9 + 1/2 = ? (a) 11/9 (b) 8/11 (c) 23/18 (d) 4/3
  35. 35.A teacher has 10 pencils and 35 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 5 (b) 10 (c) 25 (d) 1
  36. 36.Every pair follows the same rule: 2 : 2, 5 : 8, 6 : 10. What is 3 : ? (a) 4 (b) 3 (c) 5 (d) 6
  37. 37.What is 1/5 of 15? (a) 6 (b) 3 (c) 12 (d) 4
  38. 38.Two bells ring every 12 minutes and every 14 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 26 min (b) 84 min (c) 2 min (d) 168 min
  39. 39.Two bells ring every 18 minutes and every 21 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 378 min (b) 3 min (c) 126 min (d) 39 min
  40. 40.Which is the smallest: 0.099, 0.34, 0.234, 0.3? (a) 0.099 (b) 0.34 (c) 0.234 (d) 0.3

Answer key

  1. 7
  2. Saturday
  3. Monday
  4. 12
  5. 1
  6. 29/21
  7. Friday
  8. 9/10
  9. 9
  10. 5 days
  11. 34
  12. 28
  13. 10
  14. Thursday
  15. 54 cm
  16. ₹190
  17. ₹80
  18. Thursday
  19. 7/6
  20. 3
  21. 6%
  22. ₹9000
  23. 34
  24. 10 days
  25. ₹308
  26. Tuesday
  27. ₹1764
  28. 80
  29. 36
  30. Sunday
  31. 72
  32. 2
  33. 0.78
  34. 23/18
  35. 5
  36. 4
  37. 3
  38. 84 min
  39. 126 min
  40. 0.099

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