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Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 786 · 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.The simple interest on ₹10000 for 4 years is ₹1200. What is the rate per year? (a) 4% (b) 2% (c) 3% (d) 12%
  2. 2.What is the simple interest on ₹6000 at 6% per year for 4 years? (a) ₹1800 (b) ₹7440 (c) ₹1440 (d) ₹360
  3. 3.Which fraction is greater: 1/3 or 1/6? (a) 1/6 (b) They are equal (c) 1/3
  4. 4.1/2 + 5/6 = ? (a) 4/3 (b) 3/4 (c) 7/6 (d) 3/2
  5. 5.What is the simple interest on ₹1000 at 2% per year for 5 years? (a) ₹20 (b) ₹120 (c) ₹100 (d) ₹1100
  6. 6.If 3 pens cost ₹21, how much do 12 pens cost? (a) ₹252 (b) ₹91 (c) ₹84 (d) ₹30
  7. 7.If x/5 + 6 = 10, what is x? (a) 4 (b) 80 (c) 20 (d) 44
  8. 8.₹4500 is invested at 2% per year simple interest. What is the amount after 5 years? (a) ₹4590 (b) ₹4950 (c) ₹450 (d) ₹5040
  9. 9.A rectangle is 8 cm long and 7 cm wide. What is its perimeter? (a) 15 cm (b) 56 cm (c) 30 cm (d) 23 cm
  10. 10.Two bells ring every 10 minutes and every 15 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 5 min (b) 25 min (c) 30 min (d) 150 min
  11. 11.If 6 mangoes cost ₹126, how much do 7 mangoes cost? (a) ₹168 (b) ₹147 (c) ₹882 (d) ₹127
  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) 135 (c) 45 (d) 24
  13. 13.A teacher has 20 pencils and 50 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 5 (b) 20 (c) 30 (d) 10
  14. 14.If 2x + 20 = 24, what is x? (a) 3 (b) 4 (c) 22 (d) 2
  15. 15.Two bells ring every 6 minutes and every 10 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 60 min (b) 16 min (c) 2 min (d) 30 min
  16. 16.If 2x − 4 = 2, what is x? (a) 4 (b) 3 (c) 6 (d) 2
  17. 17.Every pair follows the same rule: 3 : 21, 4 : 26, 8 : 46. What is 2 : ? (a) 16 (b) 14 (c) 17 (d) 20
  18. 18.A rectangle is 20 cm long and 11 cm wide. What is its perimeter? (a) 31 cm (b) 51 cm (c) 62 cm (d) 220 cm
  19. 19.If 11 June is a Saturday, what day of the week is 6 July? (a) Thursday (b) Tuesday (c) Wednesday (d) Friday
  20. 20.What is the smallest number of sweets that can be shared equally among 9 children or among 12 children, with none left over? (a) 72 (b) 21 (c) 36 (d) 108
  21. 21.If 20 August is a Tuesday, what day of the week is 17 September? (a) Wednesday (b) Thursday (c) Tuesday (d) Monday
  22. 22.If 10 October is a Sunday, what day of the week is 19 October? (a) Monday (b) Wednesday (c) Thursday (d) Tuesday
  23. 23.Today is Friday. What day of the week will it be after 82 days? (a) Friday (b) Tuesday (c) Thursday (d) Wednesday
  24. 24.1/2 + 1/3 = ? (a) 1 (b) 5/6 (c) 2/3 (d) 2/5
  25. 25.If x/3 + 9 = 12, what is x? (a) 9 (b) 3 (c) 27 (d) 63
  26. 26.What is the average of all the whole numbers from 48 to 56? (a) 4 (b) 52 (c) 8 (d) 53
  27. 27.If 4 pens cost ₹100, how much do 6 pens cost? (a) ₹175 (b) ₹600 (c) ₹150 (d) ₹102
  28. 28.Which fraction is greater: 2/3 or 1/8? (a) 2/3 (b) They are equal (c) 1/8
  29. 29.What is the smallest number you must add to 306 to make it divisible by 5? (a) 3 (b) 4 (c) 2 (d) 1
  30. 30.A rectangle is 14 cm long and 5 cm wide. What is its area? (a) 84 sq cm (b) 38 sq cm (c) 70 sq cm (d) 19 sq cm
  31. 31.If 3 August is a Monday, what day of the week is 12 August? (a) Tuesday (b) Friday (c) Thursday (d) Wednesday
  32. 32.If 4x − 2 = 58, what is x? (a) 60 (b) 14 (c) 16 (d) 15
  33. 33.5 workers can build a wall in 11 days. How many days will 11 workers take, working at the same speed? (a) 6 days (b) 17 days (c) 4 days (d) 5 days
  34. 34.A shopkeeper buys a toy for ₹460 and sells it for ₹322. What is his loss percent? (a) 31% (b) 35% (c) 30% (d) 25%
  35. 35.Two bells ring every 10 minutes and every 25 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 250 min (b) 35 min (c) 5 min (d) 50 min
  36. 36.A batter has an average of 32 runs in 4 matches. How many runs are needed in the next match to raise the average to 34? (a) 36 (b) 42 (c) 34 (d) 10
  37. 37.Which fraction is greater: 1/6 or 4/11? (a) They are equal (b) 1/6 (c) 4/11
  38. 38.What is the smallest number of sweets that can be shared equally among 4 children or among 14 children, with none left over? (a) 29 (b) 18 (c) 28 (d) 56
  39. 39.If 6x − 40 = 8, what is x? (a) 8 (b) 48 (c) 7 (d) 9
  40. 40.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) 84 min (b) 26 min (c) 168 min (d) 2 min

Answer key

  1. 3%
  2. ₹1440
  3. 1/3
  4. 4/3
  5. ₹100
  6. ₹84
  7. 20
  8. ₹4950
  9. 30 cm
  10. 30 min
  11. ₹147
  12. 45
  13. 10
  14. 2
  15. 30 min
  16. 3
  17. 16
  18. 62 cm
  19. Wednesday
  20. 36
  21. Tuesday
  22. Tuesday
  23. Wednesday
  24. 5/6
  25. 9
  26. 52
  27. ₹150
  28. 2/3
  29. 4
  30. 70 sq cm
  31. Wednesday
  32. 15
  33. 5 days
  34. 30%
  35. 50 min
  36. 42
  37. 4/11
  38. 28
  39. 8
  40. 84 min

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