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Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 734 · 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 rectangle is 17 cm long and 5 cm wide. What is its area? (a) 22 sq cm (b) 102 sq cm (c) 44 sq cm (d) 85 sq cm
  2. 2.A rectangle has an area of 99 sq cm and a length of 11 cm. What is its width? (a) 10 cm (b) 18 cm (c) 9 cm (d) 88 cm
  3. 3.A shopkeeper buys a toy for ₹960 and sells it for ₹768. What is his loss percent? (a) 20% (b) 15% (c) 21% (d) 25%
  4. 4.2/7 + 2/4 = ? (a) 4/11 (b) 23/28 (c) 11/14 (d) 3/4
  5. 5.Every pair follows the same rule: 3 : 22, 5 : 24, 8 : 27. What is 4 : ? (a) 25 (b) 22 (c) 23 (d) 24
  6. 6.What is the remainder when 390 is divided by 12? (a) 7 (b) 6 (c) 5 (d) 8
  7. 7.₹155 is shared between two friends in the ratio 2 : 3. How much is the bigger share? (a) ₹62 (b) ₹31 (c) ₹124 (d) ₹93
  8. 8.What is the smallest number of sweets that can be shared equally among 24 children or among 30 children, with none left over? (a) 240 (b) 54 (c) 120 (d) 720
  9. 9.What is the simple interest on ₹8000 at 2% per year for 4 years? (a) ₹640 (b) ₹8640 (c) ₹160 (d) ₹800
  10. 10.₹176 is shared between two friends in the ratio 5 : 6. How much is the bigger share? (a) ₹80 (b) ₹88 (c) ₹96 (d) ₹16
  11. 11.If 9 May is a Wednesday, what day of the week is 24 May? (a) Friday (b) Wednesday (c) Saturday (d) Thursday
  12. 12.A shopkeeper buys a toy for ₹580 and sells it for ₹551. What is his loss percent? (a) 6% (b) 10% (c) 5% (d) 29%
  13. 13.If 11 August is a Friday, what day of the week is 20 September? (a) Friday (b) Thursday (c) Tuesday (d) Wednesday
  14. 14.A square has a perimeter of 36 cm. What is its area? (a) 36 sq cm (b) 81 sq cm (c) 100 sq cm (d) 18 sq cm
  15. 15.If 22 March is a Saturday, what day of the week is 16 April? (a) Tuesday (b) Thursday (c) Wednesday (d) Friday
  16. 16.Which fraction is greater: 3/5 or 1/8? (a) 1/8 (b) 3/5 (c) They are equal
  17. 17.What is the average of all the whole numbers from 20 to 30? (a) 26 (b) 5 (c) 25 (d) 10
  18. 18.6.09 + 3.1 = ? (a) 6.4 (b) 9.29 (c) 9.09 (d) 9.19
  19. 19.What is the smallest number of sweets that can be shared equally among 12 children or among 16 children, with none left over? (a) 192 (b) 48 (c) 96 (d) 28
  20. 20.A rectangle has an area of 143 sq cm and a length of 13 cm. What is its width? (a) 11 cm (b) 12 cm (c) 130 cm (d) 22 cm
  21. 21.A bag marked ₹1280 is sold at a 25% discount. What is its selling price? (a) ₹320 (b) ₹1600 (c) ₹960 (d) ₹1255
  22. 22.What is the average of 55, 68, 48 and 57? (a) 76 (b) 56 (c) 58 (d) 57
  23. 23.A shopkeeper buys a toy for ₹920 and sells it for ₹1288. What is his profit percent? (a) 35% (b) 45% (c) 40% (d) 41%
  24. 24.Every pair follows the same rule: 3 : 12, 5 : 20, 6 : 24. What is 2 : ? (a) 8 (b) 7 (c) 9 (d) 11
  25. 25.Which fraction is greater: 1/3 or 2/7? (a) They are equal (b) 1/3 (c) 2/7
  26. 26.A rectangle is 7 cm long and 3 cm wide. What is its perimeter? (a) 10 cm (b) 17 cm (c) 21 cm (d) 20 cm
  27. 27.₹75 is shared between two friends in the ratio 2 : 3. How much is the bigger share? (a) ₹45 (b) ₹15 (c) ₹60 (d) ₹30
  28. 28.If 9x − 14 = 13, what is x? (a) 3 (b) 2 (c) 4 (d) 27
  29. 29.Which of these numbers is divisible by 4? (a) 562 (b) 559 (c) 556 (d) 554
  30. 30.What is the simple interest on ₹1000 at 4% per year for 4 years? (a) ₹160 (b) ₹40 (c) ₹1160 (d) ₹200
  31. 31.Every pair follows the same rule: 2 : 12, 4 : 22, 5 : 27. What is 3 : ? (a) 18 (b) 16 (c) 17 (d) 13
  32. 32.What is the value of the digit 2 in 25.837? (a) 0.02 (b) 0.2 (c) 20 (d) 2
  33. 33.What is 3/5 of 45? (a) 27 (b) 18 (c) 36 (d) 9
  34. 34.2.31 + 9.8 = ? (a) 12.01 (b) 12.21 (c) 12.11 (d) 3.29
  35. 35.Every pair follows the same rule: 4 : 6, 5 : 8, 6 : 10. What is 9 : ? (a) 17 (b) 16 (c) 15 (d) 11
  36. 36.Which is the greatest: 0.135, 0.2, 0.026, 0.27? (a) 0.135 (b) 0.2 (c) 0.026 (d) 0.27
  37. 37.₹576 is shared between two friends in the ratio 5 : 7. How much is the bigger share? (a) ₹288 (b) ₹48 (c) ₹336 (d) ₹240
  38. 38.What is the value of the digit 5 in 93.584? (a) 0.5 (b) 0.005 (c) 0.05 (d) 5
  39. 39.A rectangle is 9 cm long and 3 cm wide. What is its perimeter? (a) 24 cm (b) 21 cm (c) 12 cm (d) 27 cm
  40. 40.Two ribbons are 33 cm and 44 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) 132 cm (c) 33 cm (d) 11 cm

Answer key

  1. 85 sq cm
  2. 9 cm
  3. 20%
  4. 11/14
  5. 23
  6. 6
  7. ₹93
  8. 120
  9. ₹640
  10. ₹96
  11. Thursday
  12. 5%
  13. Wednesday
  14. 81 sq cm
  15. Wednesday
  16. 3/5
  17. 25
  18. 9.19
  19. 48
  20. 11 cm
  21. ₹960
  22. 57
  23. 40%
  24. 8
  25. 1/3
  26. 20 cm
  27. ₹45
  28. 3
  29. 556
  30. ₹160
  31. 17
  32. 20
  33. 27
  34. 12.11
  35. 16
  36. 0.27
  37. ₹336
  38. 0.5
  39. 24 cm
  40. 11 cm

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