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Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 277 · 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.A shopkeeper buys a toy for ₹880 and sells it for ₹836. What is his loss percent? (a) 10% (b) 6% (c) 44% (d) 5%
  2. 2.A rectangle is 20 cm long and 12 cm wide. What is its perimeter? (a) 32 cm (b) 64 cm (c) 52 cm (d) 240 cm
  3. 3.What is 1/4 of 32? (a) 9 (b) 16 (c) 8 (d) 24
  4. 4.₹9500 is invested at 8% per year simple interest. What is the amount after 3 years? (a) ₹2280 (b) ₹12540 (c) ₹10260 (d) ₹11780
  5. 5.What is the average of 29, 43, 45, 28, 21 and 32? (a) 33 (b) 32 (c) 35 (d) 34
  6. 6.What is the smallest number you must add to 466 to make it divisible by 12? (a) 2 (b) 3 (c) 10 (d) 1
  7. 7.Two ribbons are 8 cm and 20 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 8 cm (b) 12 cm (c) 2 cm (d) 4 cm
  8. 8.What is 1/2 of 14? (a) 6 (b) 14 (c) 8 (d) 7
  9. 9.A teacher has 28 pencils and 49 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 1 (b) 28 (c) 21 (d) 7
  10. 10.A teacher has 32 pencils and 36 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 288 (b) 2 (c) 4 (d) 32
  11. 11.The average of 5 numbers is 15. When one number is taken away, the average of the rest is 11. Which number was taken away? (a) 26 (b) 20 (c) 15 (d) 31
  12. 12.The average of 4 numbers is 18. When one number is taken away, the average of the rest is 23. Which number was taken away? (a) 41 (b) 4 (c) 3 (d) 18
  13. 13.Which fraction is greater: 1/6 or 3/11? (a) 1/6 (b) 3/11 (c) They are equal
  14. 14.₹372 is shared between two friends in the ratio 5 : 7. How much is the bigger share? (a) ₹186 (b) ₹155 (c) ₹217 (d) ₹31
  15. 15.What is 3/7 of 77? (a) 11 (b) 44 (c) 34 (d) 33
  16. 16.3.97 + 3.3 = ? (a) 4.3 (b) 7.37 (c) 7.17 (d) 7.27
  17. 17.1/3 + 4/6 = ? (a) 5/6 (b) 1 (c) 5/9 (d) 7/6
  18. 18.A bag marked ₹440 is sold at a 10% discount. What is its selling price? (a) ₹484 (b) ₹396 (c) ₹430 (d) ₹44
  19. 19.If 11 December is a Tuesday, what day of the week is 20 December? (a) Thursday (b) Wednesday (c) Saturday (d) Friday
  20. 20.Which fraction is greater: 3/4 or 1/3? (a) 1/3 (b) They are equal (c) 3/4
  21. 21.Every pair follows the same rule: 2 : 8, 3 : 27, 6 : 216. What is 4 : ? (a) 16 (b) 90 (c) 10 (d) 64
  22. 22.The average of 7 numbers is 48. When one number is taken away, the average of the rest is 46. Which number was taken away? (a) 94 (b) 48 (c) 60 (d) 14
  23. 23.A shopkeeper buys a toy for ₹660 and sells it for ₹825. What is his profit percent? (a) 20% (b) 25% (c) 26% (d) 30%
  24. 24.Every pair follows the same rule: 3 : 21, 5 : 31, 8 : 46. What is 9 : ? (a) 63 (b) 27 (c) 51 (d) 52
  25. 25.Two ribbons are 30 cm and 54 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 30 cm (b) 6 cm (c) 24 cm (d) 3 cm
  26. 26.A square has a perimeter of 56 cm. What is its area? (a) 56 sq cm (b) 196 sq cm (c) 28 sq cm (d) 225 sq cm
  27. 27.Which of these numbers is divisible by 8? (a) 1512 (b) 1523 (c) 1511 (d) 1519
  28. 28.What is 1/5 of 60? (a) 13 (b) 48 (c) 24 (d) 12
  29. 29.What is 2/9 of 81? (a) 27 (b) 63 (c) 9 (d) 18
  30. 30.A rectangle is 14 cm long and 10 cm wide. What is its perimeter? (a) 24 cm (b) 38 cm (c) 48 cm (d) 140 cm
  31. 31.If x/5 + 1 = 4, what is x? (a) 19 (b) 25 (c) 15 (d) 3
  32. 32.A rectangle has an area of 91 sq cm and a length of 13 cm. What is its width? (a) 78 cm (b) 7 cm (c) 14 cm (d) 8 cm
  33. 33.If 6x + 10 = 3x + 31, what is x? (a) 9 (b) 6 (c) 7 (d) 8
  34. 34.The simple interest on ₹1500 for 4 years is ₹240. What is the rate per year? (a) 4% (b) 3% (c) 16% (d) 5%
  35. 35.A shopkeeper buys a toy for ₹620 and sells it for ₹589. What is his loss percent? (a) 6% (b) 10% (c) 5% (d) 31%
  36. 36.If 7 December is a Sunday, what day of the week is 22 December? (a) Wednesday (b) Tuesday (c) Monday (d) Sunday
  37. 37.1/4 + 5/7 = ? (a) 13/14 (b) 6/11 (c) 1 (d) 27/28
  38. 38.Two bells ring every 8 minutes and every 12 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 24 min (b) 20 min (c) 96 min (d) 4 min
  39. 39.The average of 4 numbers is 27. When one number is taken away, the average of the rest is 30. Which number was taken away? (a) 19 (b) 18 (c) 27 (d) 57
  40. 40.If 12 May is a Tuesday, what day of the week is 25 May? (a) Monday (b) Tuesday (c) Sunday (d) Wednesday

Answer key

  1. 5%
  2. 64 cm
  3. 8
  4. ₹11780
  5. 33
  6. 2
  7. 4 cm
  8. 7
  9. 7
  10. 4
  11. 31
  12. 3
  13. 3/11
  14. ₹217
  15. 33
  16. 7.27
  17. 1
  18. ₹396
  19. Thursday
  20. 3/4
  21. 64
  22. 60
  23. 25%
  24. 51
  25. 6 cm
  26. 196 sq cm
  27. 1512
  28. 12
  29. 18
  30. 48 cm
  31. 15
  32. 7 cm
  33. 7
  34. 4%
  35. 5%
  36. Monday
  37. 27/28
  38. 24 min
  39. 18
  40. Monday

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