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Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 160 · 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.Every pair follows the same rule: 3 : 12, 4 : 16, 5 : 20. What is 7 : ? (a) 27 (b) 29 (c) 28 (d) 16
  2. 2.What is the simple interest on ₹1000 at 4% per year for 2 years? (a) ₹1080 (b) ₹40 (c) ₹120 (d) ₹80
  3. 3.A shopkeeper buys a toy for ₹320 and sells it for ₹480. What is his profit percent? (a) 51% (b) 50% (c) 45% (d) 55%
  4. 4.If 8 May is a Sunday, what day of the week is 20 May? (a) Saturday (b) Friday (c) Sunday (d) Thursday
  5. 5.₹363 is shared between two friends in the ratio 2 : 9. How much is the bigger share? (a) ₹33 (b) ₹66 (c) ₹330 (d) ₹297
  6. 6.What is the value of the digit 8 in 86.345? (a) 0.8 (b) 8 (c) 0.08 (d) 80
  7. 7.Which of these numbers is divisible by 4? (a) 3517 (b) 3509 (c) 3515 (d) 3512
  8. 8.Every pair follows the same rule: 3 : 12, 7 : 24, 8 : 27. What is 5 : ? (a) 14 (b) 19 (c) 18 (d) 20
  9. 9.Every pair follows the same rule: 3 : 16, 4 : 23, 7 : 56. What is 5 : ? (a) 33 (b) 34 (c) 18 (d) 32
  10. 10.If x/4 + 4 = 11, what is x? (a) 7 (b) 40 (c) 28 (d) 60
  11. 11.The average of 4 numbers is 43. When one number is taken away, the average of the rest is 48. Which number was taken away? (a) 43 (b) 91 (c) 28 (d) 29
  12. 12.3 workers can build a wall in 10 days. How many days will 2 workers take, working at the same speed? (a) 9 days (b) 16 days (c) 11 days (d) 15 days
  13. 13.Two ribbons are 18 cm and 63 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 3 cm (b) 45 cm (c) 18 cm (d) 9 cm
  14. 14.Which is the smallest: 0.757, 0.83, 0.8, 0.098? (a) 0.757 (b) 0.83 (c) 0.8 (d) 0.098
  15. 15.A shopkeeper buys a toy for ₹360 and sells it for ₹540. What is his profit percent? (a) 51% (b) 50% (c) 45% (d) 55%
  16. 16.If 3x − 2 = 19, what is x? (a) 6 (b) 8 (c) 7 (d) 21
  17. 17.What is the smallest number of sweets that can be shared equally among 25 children or among 30 children, with none left over? (a) 750 (b) 300 (c) 55 (d) 150
  18. 18.If x/2 + 6 = 11, what is x? (a) 34 (b) 16 (c) 10 (d) 5
  19. 19.Every pair follows the same rule: 3 : 7, 4 : 14, 5 : 23. What is 8 : ? (a) 12 (b) 50 (c) 62 (d) 63
  20. 20.If 3x + 27 = 60, what is x? (a) 12 (b) 29 (c) 11 (d) 33
  21. 21.Which fraction is greater: 3/4 or 1/3? (a) They are equal (b) 1/3 (c) 3/4
  22. 22.5/6 + 3/6 = ? (a) 3/2 (b) 7/6 (c) 4/3 (d) 2/3
  23. 23.If 3x − 28 = 17, what is x? (a) 15 (b) 16 (c) 45 (d) 14
  24. 24.What is the simple interest on ₹5000 at 12% per year for 3 years? (a) ₹6800 (b) ₹600 (c) ₹2400 (d) ₹1800
  25. 25.What is 75% of 900? (a) 1350 (b) 225 (c) 675 (d) 6750
  26. 26.Which fraction is greater: 6/11 or 1/3? (a) 6/11 (b) They are equal (c) 1/3
  27. 27.What is the value of the digit 4 in 45.217? (a) 40 (b) 0.04 (c) 0.4 (d) 4
  28. 28.A teacher has 25 pencils and 35 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 1 (b) 25 (c) 10 (d) 5
  29. 29.What is the simple interest on ₹8000 at 2% per year for 2 years? (a) ₹8320 (b) ₹480 (c) ₹320 (d) ₹160
  30. 30.What is the smallest number of sweets that can be shared equally among 10 children or among 14 children, with none left over? (a) 71 (b) 24 (c) 70 (d) 140
  31. 31.What is the value of the digit 5 in 54.127? (a) 50 (b) 0.5 (c) 5 (d) 0.05
  32. 32.Every pair follows the same rule: 1 : 1, 2 : 8, 4 : 64. What is 3 : ? (a) 3 (b) 36 (c) 27 (d) 28
  33. 33.Two bells ring every 12 minutes and every 15 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 180 min (b) 3 min (c) 60 min (d) 27 min
  34. 34.Which fraction is greater: 2/3 or 5/7? (a) They are equal (b) 5/7 (c) 2/3
  35. 35.Which is the greatest: 0.743, 0.064, 0.89, 0.8? (a) 0.743 (b) 0.064 (c) 0.89 (d) 0.8
  36. 36.1/3 + 2/3 = ? (a) 4/3 (b) 2/3 (c) 1 (d) 1/2
  37. 37.What is 30% of 740? (a) 518 (b) 444 (c) 222 (d) 2220
  38. 38.A shopkeeper buys a toy for ₹300 and sells it for ₹255. What is his loss percent? (a) 15% (b) 20% (c) 45% (d) 10%
  39. 39.₹121 is shared between two friends in the ratio 2 : 9. How much is the bigger share? (a) ₹22 (b) ₹110 (c) ₹11 (d) ₹99
  40. 40.A rectangle is 20 cm long and 4 cm wide. What is its area? (a) 80 sq cm (b) 24 sq cm (c) 48 sq cm (d) 100 sq cm

Answer key

  1. 28
  2. ₹80
  3. 50%
  4. Friday
  5. ₹297
  6. 80
  7. 3512
  8. 18
  9. 32
  10. 28
  11. 28
  12. 15 days
  13. 9 cm
  14. 0.098
  15. 50%
  16. 7
  17. 150
  18. 10
  19. 62
  20. 11
  21. 3/4
  22. 4/3
  23. 15
  24. ₹1800
  25. 675
  26. 6/11
  27. 40
  28. 5
  29. ₹320
  30. 70
  31. 50
  32. 27
  33. 60 min
  34. 5/7
  35. 0.89
  36. 1
  37. 222
  38. 15%
  39. ₹99
  40. 80 sq cm

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