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Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 492 · 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.In how many years will ₹2000 earn ₹600 simple interest at 10% per year? (a) 2 years (b) 6 years (c) 3 years (d) 4 years
  2. 2.Every pair follows the same rule: 3 : 7, 6 : 34, 7 : 47. What is 4 : ? (a) 8 (b) 15 (c) 13 (d) 14
  3. 3.₹189 is shared between two friends in the ratio 4 : 5. How much is the bigger share? (a) ₹84 (b) ₹105 (c) ₹126 (d) ₹21
  4. 4.If 12 May is a Saturday, what day of the week is 26 May? (a) Friday (b) Saturday (c) Sunday (d) Monday
  5. 5.Every pair follows the same rule: 4 : 10, 6 : 18, 7 : 22. What is 3 : ? (a) 7 (b) 5 (c) 9 (d) 6
  6. 6.Every pair follows the same rule: 1 : 1, 2 : 8, 4 : 64. What is 3 : ? (a) 3 (b) 28 (c) 27 (d) 36
  7. 7.A bag marked ₹1860 is sold at a 10% discount. What is its selling price? (a) ₹1674 (b) ₹186 (c) ₹2046 (d) ₹1850
  8. 8.4/6 + 2/5 = ? (a) 6/11 (b) 31/30 (c) 11/10 (d) 16/15
  9. 9.What is the value of the digit 1 in 38.175? (a) 0.01 (b) 0.001 (c) 1 (d) 0.1
  10. 10.A shopkeeper buys a toy for ₹740 and sells it for ₹444. What is his loss percent? (a) 35% (b) 41% (c) 40% (d) 45%
  11. 11.3.59 + 3.6 = ? (a) 7.29 (b) 3.95 (c) 7.19 (d) 7.09
  12. 12.If 22 August is a Monday, what day of the week is 20 September? (a) Thursday (b) Tuesday (c) Monday (d) Wednesday
  13. 13.A teacher has 8 pencils and 10 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 2 (b) 40 (c) 8 (d) 1
  14. 14.A batter has an average of 47 runs in 3 matches. How many runs are needed in the next match to raise the average to 52? (a) 20 (b) 57 (c) 67 (d) 52
  15. 15.What is the units digit of 3^13? (a) 1 (b) 7 (c) 3 (d) 9
  16. 16.Every pair follows the same rule: 3 : 27, 5 : 125, 6 : 216. What is 2 : ? (a) 26 (b) 8 (c) 18 (d) 9
  17. 17.Every pair follows the same rule: 3 : 7, 6 : 34, 7 : 47. What is 2 : ? (a) 3 (b) 6 (c) 1 (d) 2
  18. 18.If x/4 + 1 = 13, what is x? (a) 12 (b) 56 (c) 51 (d) 48
  19. 19.A rectangle is 12 cm long and 4 cm wide. What is its area? (a) 32 sq cm (b) 16 sq cm (c) 48 sq cm (d) 60 sq cm
  20. 20.Which of these numbers is divisible by 3? (a) 284 (b) 282 (c) 281 (d) 286
  21. 21.A shopkeeper buys a toy for ₹700 and sells it for ₹560. What is his loss percent? (a) 21% (b) 15% (c) 25% (d) 20%
  22. 22.The simple interest on ₹1000 for 4 years is ₹440. What is the rate per year? (a) 11% (b) 44% (c) 12% (d) 10%
  23. 23.What is the simple interest on ₹3500 at 6% per year for 3 years? (a) ₹210 (b) ₹4130 (c) ₹630 (d) ₹840
  24. 24.If 27 March is a Saturday, what day of the week is 9 April? (a) Thursday (b) Friday (c) Sunday (d) Saturday
  25. 25.Two ribbons are 60 cm and 108 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) 60 cm
  26. 26.What is the average of all the whole numbers from 27 to 47? (a) 10 (b) 38 (c) 20 (d) 37
  27. 27.Every pair follows the same rule: 2 : 6, 4 : 12, 8 : 24. What is 7 : ? (a) 21 (b) 11 (c) 20 (d) 22
  28. 28.What is the smallest number you must add to 343 to make it divisible by 9? (a) 8 (b) 6 (c) 1 (d) 7
  29. 29.Which fraction is greater: 1/4 or 9/10? (a) 9/10 (b) They are equal (c) 1/4
  30. 30.What is 75% of 200? (a) 50 (b) 1500 (c) 300 (d) 150
  31. 31.Which is the greatest: 0.596, 0.026, 0.61, 0.6? (a) 0.596 (b) 0.026 (c) 0.61 (d) 0.6
  32. 32.If 3 December is a Thursday, what day of the week is 16 December? (a) Wednesday (b) Tuesday (c) Thursday (d) Friday
  33. 33.In how many years will ₹8500 earn ₹1020 simple interest at 4% per year? (a) 2 years (b) 4 years (c) 3 years (d) 6 years
  34. 34.A rectangle is 15 cm long and 8 cm wide. What is its perimeter? (a) 46 cm (b) 120 cm (c) 38 cm (d) 23 cm
  35. 35.A square has a perimeter of 28 cm. What is its area? (a) 49 sq cm (b) 64 sq cm (c) 14 sq cm (d) 28 sq cm
  36. 36.A bag marked ₹600 is sold at a 50% discount. What is its selling price? (a) ₹550 (b) ₹900 (c) ₹300 (d) ₹301
  37. 37.If x/5 + 15 = 23, what is x? (a) 40 (b) 100 (c) 190 (d) 8
  38. 38.If 6x + 8 = 5x + 18, what is x? (a) 12 (b) 11 (c) 10 (d) 26
  39. 39.A teacher has 32 pencils and 40 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 160 (b) 32 (c) 8 (d) 4
  40. 40.₹70 is shared between two friends in the ratio 2 : 5. How much is the bigger share? (a) ₹50 (b) ₹20 (c) ₹35 (d) ₹10

Answer key

  1. 3 years
  2. 14
  3. ₹105
  4. Saturday
  5. 6
  6. 27
  7. ₹1674
  8. 16/15
  9. 0.1
  10. 40%
  11. 7.19
  12. Tuesday
  13. 2
  14. 67
  15. 3
  16. 8
  17. 2
  18. 48
  19. 48 sq cm
  20. 282
  21. 20%
  22. 11%
  23. ₹630
  24. Friday
  25. 12 cm
  26. 37
  27. 21
  28. 8
  29. 9/10
  30. 150
  31. 0.61
  32. Wednesday
  33. 3 years
  34. 46 cm
  35. 49 sq cm
  36. ₹300
  37. 40
  38. 10
  39. 8
  40. ₹50

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