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Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 249 · 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.What is the remainder when 279 is divided by 12? (a) 9 (b) 4 (c) 2 (d) 3
  2. 2.A shopkeeper buys a toy for ₹120 and sells it for ₹144. What is his profit percent? (a) 24% (b) 25% (c) 15% (d) 20%
  3. 3.5.88 + 5.6 = ? (a) 11.38 (b) 11.58 (c) 6.44 (d) 11.48
  4. 4.Which fraction is greater: 7/10 or 2/5? (a) They are equal (b) 7/10 (c) 2/5
  5. 5.If 3x + 6 = 36, what is x? (a) 11 (b) 10 (c) 14 (d) 30
  6. 6.What is the value of the digit 2 in 17.243? (a) 2 (b) 0.02 (c) 0.002 (d) 0.2
  7. 7.A rectangle is 8 cm long and 5 cm wide. What is its area? (a) 26 sq cm (b) 48 sq cm (c) 40 sq cm (d) 13 sq cm
  8. 8.In how many years will ₹10000 earn ₹4000 simple interest at 10% per year? (a) 5 years (b) 3 years (c) 8 years (d) 4 years
  9. 9.Every pair follows the same rule: 3 : 3, 7 : 11, 8 : 13. What is 2 : ? (a) 2 (b) 3 (c) 1 (d) 4
  10. 10.₹1000 is invested at 2% per year simple interest. What is the amount after 4 years? (a) ₹1080 (b) ₹1020 (c) ₹1100 (d) ₹80
  11. 11.If x/4 + 7 = 19, what is x? (a) 48 (b) 104 (c) 12 (d) 69
  12. 12.Which fraction is greater: 2/3 or 1/9? (a) 1/9 (b) 2/3 (c) They are equal
  13. 13.Which fraction is greater: 4/11 or 7/8? (a) 4/11 (b) They are equal (c) 7/8
  14. 14.Every pair follows the same rule: 3 : 9, 4 : 16, 5 : 25. What is 9 : ? (a) 61 (b) 81 (c) 27 (d) 15
  15. 15.What is the average of all the whole numbers from 10 to 24? (a) 18 (b) 7 (c) 17 (d) 14
  16. 16.Which is the smallest: 0.372, 0.4, 0.48, 0.058? (a) 0.372 (b) 0.4 (c) 0.48 (d) 0.058
  17. 17.A shopkeeper buys a toy for ₹880 and sells it for ₹1100. What is his profit percent? (a) 20% (b) 30% (c) 25% (d) 26%
  18. 18.7.71 + 6.3 = ? (a) 8.34 (b) 13.91 (c) 14.01 (d) 14.11
  19. 19.A shopkeeper buys a toy for ₹720 and sells it for ₹648. What is his loss percent? (a) 5% (b) 10% (c) 15% (d) 72%
  20. 20.A batter has an average of 53 runs in 3 matches. How many runs are needed in the next match to raise the average to 61? (a) 61 (b) 32 (c) 85 (d) 69
  21. 21.What is the value of the digit 9 in 62.491? (a) 0.9 (b) 9 (c) 0.09 (d) 0.009
  22. 22.A rectangle is 10 cm long and 9 cm wide. What is its area? (a) 19 sq cm (b) 90 sq cm (c) 100 sq cm (d) 38 sq cm
  23. 23.Every pair follows the same rule: 2 : 4, 4 : 16, 6 : 36. What is 3 : ? (a) 5 (b) 6 (c) 10 (d) 9
  24. 24.What is 50% of 920? (a) 460 (b) 920 (c) 461 (d) 4600
  25. 25.Which of these numbers is divisible by 9? (a) 7861 (b) 7866 (c) 7868 (d) 7883
  26. 26.If 24 January is a Thursday, what day of the week is 3 February? (a) Sunday (b) Tuesday (c) Monday (d) Saturday
  27. 27.Today is Sunday. What day of the week will it be after 29 days? (a) Sunday (b) Tuesday (c) Wednesday (d) Monday
  28. 28.A rectangle is 11 cm long and 3 cm wide. What is its area? (a) 14 sq cm (b) 33 sq cm (c) 28 sq cm (d) 44 sq cm
  29. 29.What is the smallest number of sweets that can be shared equally among 15 children or among 25 children, with none left over? (a) 150 (b) 40 (c) 75 (d) 375
  30. 30.If 5 mangoes cost ₹105, how much do 10 mangoes cost? (a) ₹110 (b) ₹231 (c) ₹1050 (d) ₹210
  31. 31.A square has a perimeter of 40 cm. What is its area? (a) 40 sq cm (b) 100 sq cm (c) 121 sq cm (d) 20 sq cm
  32. 32.Which is the greatest: 0.642, 0.7, 0.71, 0.023? (a) 0.642 (b) 0.7 (c) 0.71 (d) 0.023
  33. 33.If 14 May is a Sunday, what day of the week is 6 June? (a) Monday (b) Wednesday (c) Thursday (d) Tuesday
  34. 34.What is the simple interest on ₹9000 at 2% per year for 4 years? (a) ₹720 (b) ₹900 (c) ₹180 (d) ₹9720
  35. 35.If 7x + 8 = 4x + 29, what is x? (a) 9 (b) 7 (c) 8 (d) 6
  36. 36.A rectangle has an area of 156 sq cm and a length of 13 cm. What is its width? (a) 143 cm (b) 12 cm (c) 13 cm (d) 24 cm
  37. 37.If 11 July is a Monday, what day of the week is 5 August? (a) Thursday (b) Friday (c) Sunday (d) Saturday
  38. 38.What is 1/2 of 10? (a) 10 (b) 6 (c) 4 (d) 5
  39. 39.If 3 notebooks cost ₹42, how much do 7 notebooks cost? (a) ₹98 (b) ₹112 (c) ₹294 (d) ₹46
  40. 40.What is the smallest number of sweets that can be shared equally among 6 children or among 8 children, with none left over? (a) 14 (b) 25 (c) 48 (d) 24

Answer key

  1. 3
  2. 20%
  3. 11.48
  4. 7/10
  5. 10
  6. 0.2
  7. 40 sq cm
  8. 4 years
  9. 1
  10. ₹1080
  11. 48
  12. 2/3
  13. 7/8
  14. 81
  15. 17
  16. 0.058
  17. 25%
  18. 14.01
  19. 10%
  20. 85
  21. 0.09
  22. 90 sq cm
  23. 9
  24. 460
  25. 7866
  26. Sunday
  27. Monday
  28. 33 sq cm
  29. 75
  30. ₹210
  31. 100 sq cm
  32. 0.71
  33. Tuesday
  34. ₹720
  35. 7
  36. 12 cm
  37. Friday
  38. 5
  39. ₹98
  40. 24

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