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Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 748 · 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. 1.5.24 + 6.4 = ? (a) 11.74 (b) 5.88 (c) 11.54 (d) 11.64
  2. 2.What is 60% of 880? (a) 352 (b) 528 (c) 1056 (d) 5280
  3. 3.If 5 December is a Wednesday, what day of the week is 13 December? (a) Wednesday (b) Friday (c) Thursday (d) Saturday
  4. 4.A shopkeeper buys a toy for ₹360 and sells it for ₹396. What is his profit percent? (a) 15% (b) 10% (c) 5% (d) 36%
  5. 5.Every pair follows the same rule: 2 : 6, 4 : 8, 7 : 11. What is 8 : ? (a) 13 (b) 24 (c) 12 (d) 11
  6. 6.A bag marked ₹600 is sold at a 40% discount. What is its selling price? (a) ₹840 (b) ₹560 (c) ₹360 (d) ₹240
  7. 7.What is the value of the digit 7 in 96.781? (a) 0.007 (b) 7 (c) 0.7 (d) 0.07
  8. 8.Two ribbons are 20 cm and 45 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 25 cm (b) 20 cm (c) 1 cm (d) 5 cm
  9. 9.If 21 August is a Saturday, what day of the week is 8 September? (a) Friday (b) Tuesday (c) Thursday (d) Wednesday
  10. 10.A shopkeeper buys a toy for ₹320 and sells it for ₹448. What is his profit percent? (a) 35% (b) 45% (c) 41% (d) 40%
  11. 11.If x/2 + 1 = 5, what is x? (a) 8 (b) 12 (c) 4 (d) 9
  12. 12.What is the value of the digit 5 in 53.192? (a) 5 (b) 0.05 (c) 50 (d) 0.5
  13. 13.If 15 March is a Friday, what day of the week is 24 March? (a) Sunday (b) Saturday (c) Monday (d) Tuesday
  14. 14.Which fraction is greater: 1/4 or 1/5? (a) 1/4 (b) 1/5 (c) They are equal
  15. 15.1.56 + 8.2 = ? (a) 2.38 (b) 9.76 (c) 9.66 (d) 9.86
  16. 16.Today is Sunday. What day of the week will it be after 41 days? (a) Saturday (b) Friday (c) Sunday (d) Monday
  17. 17.A rectangle is 20 cm long and 2 cm wide. What is its area? (a) 22 sq cm (b) 60 sq cm (c) 44 sq cm (d) 40 sq cm
  18. 18.Today is Monday. What day of the week will it be after 33 days? (a) Sunday (b) Monday (c) Saturday (d) Friday
  19. 19.What is the simple interest on ₹8000 at 7% per year for 2 years? (a) ₹1120 (b) ₹560 (c) ₹9120 (d) ₹1680
  20. 20.What is the value of the digit 1 in 21.358? (a) 10 (b) 1 (c) 0.01 (d) 0.1
  21. 21.What is the smallest number of sweets that can be shared equally among 15 children or among 21 children, with none left over? (a) 315 (b) 36 (c) 210 (d) 105
  22. 22.Two ribbons are 48 cm and 84 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 48 cm (b) 6 cm (c) 12 cm (d) 36 cm
  23. 23.A batter has an average of 49 runs in 9 matches. How many runs are needed in the next match to raise the average to 52? (a) 79 (b) 52 (c) 55 (d) 30
  24. 24.What is the value of the digit 4 in 45.362? (a) 40 (b) 0.4 (c) 4 (d) 0.04
  25. 25.What is the remainder when 218 is divided by 5? (a) 4 (b) 1 (c) 2 (d) 3
  26. 26.₹400 is shared between two friends in the ratio 3 : 7. How much is the bigger share? (a) ₹40 (b) ₹120 (c) ₹200 (d) ₹280
  27. 27.3.79 + 6.6 = ? (a) 10.39 (b) 10.29 (c) 4.45 (d) 10.49
  28. 28.Which is the greatest: 0.2, 0.22, 0.184, 0.095? (a) 0.2 (b) 0.22 (c) 0.184 (d) 0.095
  29. 29.Every pair follows the same rule: 4 : 25, 5 : 34, 7 : 58. What is 2 : ? (a) 23 (b) 12 (c) 14 (d) 13
  30. 30.A rectangle is 6 cm long and 2 cm wide. What is its area? (a) 18 sq cm (b) 8 sq cm (c) 12 sq cm (d) 16 sq cm
  31. 31.A square has a perimeter of 40 cm. What is its area? (a) 100 sq cm (b) 40 sq cm (c) 121 sq cm (d) 20 sq cm
  32. 32.The simple interest on ₹8000 for 3 years is ₹2640. What is the rate per year? (a) 12% (b) 10% (c) 33% (d) 11%
  33. 33.If x/6 + 3 = 14, what is x? (a) 11 (b) 102 (c) 81 (d) 66
  34. 34.If 3x + 2 = 2x + 3, what is x? (a) 5 (b) 2 (c) 1 (d) 3
  35. 35.Every pair follows the same rule: 2 : 10, 3 : 15, 8 : 40. What is 6 : ? (a) 29 (b) 14 (c) 30 (d) 31
  36. 36.Every pair follows the same rule: 3 : 7, 7 : 19, 9 : 25. What is 6 : ? (a) 15 (b) 10 (c) 16 (d) 17
  37. 37.Two ribbons are 10 cm and 16 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 6 cm (b) 1 cm (c) 10 cm (d) 2 cm
  38. 38.If x/4 + 11 = 13, what is x? (a) 41 (b) 2 (c) 8 (d) 96
  39. 39.What is the average of 58, 62, 53 and 75? (a) 64 (b) 61 (c) 63 (d) 62
  40. 40.What is the smallest number you must add to 822 to make it divisible by 12? (a) 5 (b) 6 (c) 7 (d) 8

Answer key

  1. 11.64
  2. 528
  3. Thursday
  4. 10%
  5. 12
  6. ₹360
  7. 0.7
  8. 5 cm
  9. Wednesday
  10. 40%
  11. 8
  12. 50
  13. Sunday
  14. 1/4
  15. 9.76
  16. Saturday
  17. 40 sq cm
  18. Saturday
  19. ₹1120
  20. 1
  21. 105
  22. 12 cm
  23. 79
  24. 40
  25. 3
  26. ₹280
  27. 10.39
  28. 0.22
  29. 13
  30. 12 sq cm
  31. 100 sq cm
  32. 11%
  33. 66
  34. 1
  35. 30
  36. 16
  37. 2 cm
  38. 8
  39. 62
  40. 6

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