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Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 320 · 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 x/3 + 8 = 14, what is x? (a) 34 (b) 66 (c) 18 (d) 6
  2. 2.The average of 4 numbers is 43. When one number is taken away, the average of the rest is 42. Which number was taken away? (a) 46 (b) 85 (c) 43 (d) 4
  3. 3.What is 25% of 80? (a) 200 (b) 20 (c) 40 (d) 60
  4. 4.Which fraction is greater: 2/5 or 6/7? (a) 6/7 (b) They are equal (c) 2/5
  5. 5.1/3 + 3/9 = ? (a) 7/9 (b) 5/9 (c) 2/3 (d) 1/3
  6. 6.Which is the greatest: 0.128, 0.081, 0.2, 0.26? (a) 0.128 (b) 0.081 (c) 0.2 (d) 0.26
  7. 7.Every pair follows the same rule: 2 : 13, 7 : 38, 8 : 43. What is 3 : ? (a) 19 (b) 17 (c) 18 (d) 14
  8. 8.Every pair follows the same rule: 5 : 33, 6 : 44, 8 : 72. What is 9 : ? (a) 89 (b) 86 (c) 37 (d) 90
  9. 9.If x/3 + 14 = 17, what is x? (a) 9 (b) 3 (c) 93 (d) 37
  10. 10.Every pair follows the same rule: 2 : 5, 3 : 7, 9 : 19. What is 5 : ? (a) 12 (b) 10 (c) 8 (d) 11
  11. 11.The average of 8 numbers is 30. When one number is taken away, the average of the rest is 34. Which number was taken away? (a) 3 (b) 64 (c) 30 (d) 2
  12. 12.A rectangle is 6 cm long and 2 cm wide. What is its area? (a) 18 sq cm (b) 8 sq cm (c) 16 sq cm (d) 12 sq cm
  13. 13.A rectangle is 10 cm long and 2 cm wide. What is its area? (a) 12 sq cm (b) 30 sq cm (c) 20 sq cm (d) 24 sq cm
  14. 14.What is the average of all the whole numbers from 27 to 51? (a) 39 (b) 12 (c) 40 (d) 24
  15. 15.A square has a perimeter of 20 cm. What is its area? (a) 36 sq cm (b) 25 sq cm (c) 20 sq cm (d) 10 sq cm
  16. 16.What is the simple interest on ₹9000 at 6% per year for 3 years? (a) ₹2160 (b) ₹1620 (c) ₹540 (d) ₹10620
  17. 17.Two bells ring every 8 minutes and every 14 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 112 min (b) 22 min (c) 2 min (d) 56 min
  18. 18.₹7000 is invested at 3% per year simple interest. What is the amount after 4 years? (a) ₹840 (b) ₹8050 (c) ₹7210 (d) ₹7840
  19. 19.What is the value of the digit 9 in 93.471? (a) 0.9 (b) 9 (c) 0.09 (d) 90
  20. 20.A square has a perimeter of 52 cm. What is its area? (a) 196 sq cm (b) 169 sq cm (c) 26 sq cm (d) 52 sq cm
  21. 21.8 workers can build a wall in 9 days. How many days will 3 workers take, working at the same speed? (a) 25 days (b) 14 days (c) 4 days (d) 24 days
  22. 22.A shopkeeper buys a toy for ₹140 and sells it for ₹98. What is his loss percent? (a) 42% (b) 35% (c) 30% (d) 25%
  23. 23.2/9 + 4/6 = ? (a) 8/9 (b) 17/18 (c) 2/5 (d) 5/6
  24. 24.₹217 is shared between two friends in the ratio 1 : 6. How much is the bigger share? (a) ₹187 (b) ₹217 (c) ₹186 (d) ₹31
  25. 25.What is the units digit of 4^21? (a) 6 (b) 5 (c) 4 (d) 3
  26. 26.A batter has an average of 26 runs in 5 matches. How many runs are needed in the next match to raise the average to 34? (a) 74 (b) 34 (c) 48 (d) 42
  27. 27.₹6000 is invested at 2% per year simple interest. What is the amount after 4 years? (a) ₹6600 (b) ₹480 (c) ₹6120 (d) ₹6480
  28. 28.Which fraction is greater: 1/5 or 1/4? (a) 1/5 (b) They are equal (c) 1/4
  29. 29.Two ribbons are 14 cm and 21 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 1 cm (b) 14 cm (c) 7 cm (d) 42 cm
  30. 30.If 22 January is a Wednesday, what day of the week is 9 February? (a) Saturday (b) Tuesday (c) Sunday (d) Monday
  31. 31.What is the remainder when 553 is divided by 10? (a) 4 (b) 3 (c) 2 (d) 7
  32. 32.A teacher has 20 pencils and 45 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 20 (b) 1 (c) 5 (d) 25
  33. 33.Which of these numbers is divisible by 4? (a) 557 (b) 553 (c) 552 (d) 549
  34. 34.Every pair follows the same rule: 2 : 4, 5 : 25, 9 : 81. What is 4 : ? (a) 11 (b) 6 (c) 8 (d) 16
  35. 35.A shopkeeper buys a toy for ₹600 and sells it for ₹720. What is his profit percent? (a) 25% (b) 15% (c) 21% (d) 20%
  36. 36.8.22 + 7.4 = ? (a) 15.72 (b) 8.96 (c) 15.52 (d) 15.62
  37. 37.A teacher has 15 pencils and 40 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 15 (b) 25 (c) 1 (d) 5
  38. 38.Today is Tuesday. What day of the week will it be after 58 days? (a) Friday (b) Thursday (c) Wednesday (d) Saturday
  39. 39.What is the value of the digit 3 in 19.435? (a) 0.3 (b) 0.003 (c) 3 (d) 0.03
  40. 40.What is the value of the digit 1 in 41.325? (a) 10 (b) 0.01 (c) 1 (d) 0.1

Answer key

  1. 18
  2. 46
  3. 20
  4. 6/7
  5. 2/3
  6. 0.26
  7. 18
  8. 89
  9. 9
  10. 11
  11. 2
  12. 12 sq cm
  13. 20 sq cm
  14. 39
  15. 25 sq cm
  16. ₹1620
  17. 56 min
  18. ₹7840
  19. 90
  20. 169 sq cm
  21. 24 days
  22. 30%
  23. 8/9
  24. ₹186
  25. 4
  26. 74
  27. ₹6480
  28. 1/4
  29. 7 cm
  30. Sunday
  31. 3
  32. 5
  33. 552
  34. 16
  35. 20%
  36. 15.62
  37. 5
  38. Thursday
  39. 0.03
  40. 1

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