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Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 553 · 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. 1.1/2 + 3/5 = ? (a) 11/10 (b) 4/7 (c) 1 (d) 6/5
  2. 2.₹7000 is invested at 10% per year simple interest. What is the amount after 3 years? (a) ₹7700 (b) ₹2100 (c) ₹9100 (d) ₹9800
  3. 3.A shopkeeper buys a toy for ₹420 and sells it for ₹378. What is his loss percent? (a) 15% (b) 42% (c) 10% (d) 5%
  4. 4.What is the smallest number you must add to 473 to make it divisible by 6? (a) 5 (b) 1 (c) 3 (d) 2
  5. 5.A rectangle has an area of 10 sq cm and a length of 5 cm. What is its width? (a) 4 cm (b) 3 cm (c) 5 cm (d) 2 cm
  6. 6.A shopkeeper buys a toy for ₹140 and sells it for ₹147. What is his profit percent? (a) 7% (b) 6% (c) 5% (d) 10%
  7. 7.What is the simple interest on ₹9500 at 11% per year for 5 years? (a) ₹1045 (b) ₹14725 (c) ₹5225 (d) ₹6270
  8. 8.Which of these numbers is divisible by 3? (a) 1176 (b) 1180 (c) 1175 (d) 1177
  9. 9.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) 33 cm (b) 132 cm (c) 1 cm (d) 11 cm
  10. 10.1/6 + 3/6 = ? (a) 1/2 (b) 5/6 (c) 1/3 (d) 2/3
  11. 11.What is 75% of 300? (a) 450 (b) 2250 (c) 225 (d) 75
  12. 12.What is the value of the digit 6 in 98.167? (a) 0.06 (b) 0.6 (c) 6 (d) 0.006
  13. 13.Which is the greatest: 0.545, 0.019, 0.68, 0.6? (a) 0.545 (b) 0.019 (c) 0.68 (d) 0.6
  14. 14.A batter has an average of 39 runs in 6 matches. How many runs are needed in the next match to raise the average to 46? (a) 46 (b) 53 (c) 88 (d) 49
  15. 15.Every pair follows the same rule: 4 : 64, 5 : 125, 6 : 216. What is 1 : ? (a) 61 (b) 1 (c) 16 (d) 2
  16. 16.What is the value of the digit 2 in 37.452? (a) 0.02 (b) 0.2 (c) 0.002 (d) 2
  17. 17.If 9x + 29 = 101, what is x? (a) 8 (b) 9 (c) 7 (d) 72
  18. 18.What is the average of all the whole numbers from 20 to 46? (a) 34 (b) 26 (c) 33 (d) 13
  19. 19.If x/2 + 8 = 16, what is x? (a) 24 (b) 8 (c) 16 (d) 48
  20. 20.Every pair follows the same rule: 2 : 7, 3 : 8, 8 : 13. What is 6 : ? (a) 10 (b) 12 (c) 13 (d) 11
  21. 21.A bag marked ₹320 is sold at a 20% discount. What is its selling price? (a) ₹64 (b) ₹384 (c) ₹300 (d) ₹256
  22. 22.Two ribbons are 6 cm and 27 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) 21 cm (c) 1 cm (d) 3 cm
  23. 23.What is the smallest number you must add to 88 to make it divisible by 3? (a) 1 (b) 2
  24. 24.Which is the greatest: 0.29, 0.171, 0.076, 0.2? (a) 0.29 (b) 0.171 (c) 0.076 (d) 0.2
  25. 25.4 workers can build a wall in 10 days. How many days will 5 workers take, working at the same speed? (a) 9 days (b) 11 days (c) 7 days (d) 8 days
  26. 26.If 4x + 25 = 37, what is x? (a) 12 (b) 3 (c) 4 (d) 2
  27. 27.Today is Sunday. What day of the week will it be after 95 days? (a) Saturday (b) Thursday (c) Wednesday (d) Friday
  28. 28.Two ribbons are 63 cm and 72 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 63 cm (b) 3 cm (c) 9 cm (d) 504 cm
  29. 29.A shopkeeper buys a toy for ₹860 and sells it for ₹602. What is his loss percent? (a) 25% (b) 30% (c) 31% (d) 35%
  30. 30.If 9 mangoes cost ₹153, how much do 5 mangoes cost? (a) ₹85 (b) ₹102 (c) ₹149 (d) ₹765
  31. 31.Every pair follows the same rule: 1 : 1, 3 : 27, 5 : 125. What is 6 : ? (a) 216 (b) 217 (c) 174 (d) 6
  32. 32.What is the units digit of 7^14? (a) 9 (b) 3 (c) 7 (d) 1
  33. 33.Which is the greatest: 0.558, 0.011, 0.6, 0.69? (a) 0.558 (b) 0.011 (c) 0.6 (d) 0.69
  34. 34.Every pair follows the same rule: 4 : 20, 8 : 24, 9 : 25. What is 3 : ? (a) 18 (b) 15 (c) 20 (d) 19
  35. 35.Which is the smallest: 0.72, 0.066, 0.667, 0.7? (a) 0.72 (b) 0.066 (c) 0.667 (d) 0.7
  36. 36.What is the smallest number of sweets that can be shared equally among 9 children or among 15 children, with none left over? (a) 135 (b) 90 (c) 45 (d) 24
  37. 37.In how many years will ₹2000 earn ₹960 simple interest at 12% per year? (a) 8 years (b) 3 years (c) 4 years (d) 5 years
  38. 38.If 8 October is a Friday, what day of the week is 24 October? (a) Sunday (b) Tuesday (c) Saturday (d) Monday
  39. 39.1.64 + 4.1 = ? (a) 5.64 (b) 5.74 (c) 2.05 (d) 5.84
  40. 40.What is the average of 61, 60, 57 and 110? (a) 71 (b) 96 (c) 73 (d) 72

Answer key

  1. 11/10
  2. ₹9100
  3. 10%
  4. 1
  5. 2 cm
  6. 5%
  7. ₹5225
  8. 1176
  9. 11 cm
  10. 2/3
  11. 225
  12. 0.06
  13. 0.68
  14. 88
  15. 1
  16. 0.002
  17. 8
  18. 33
  19. 16
  20. 11
  21. ₹256
  22. 3 cm
  23. 2
  24. 0.29
  25. 8 days
  26. 3
  27. Thursday
  28. 9 cm
  29. 30%
  30. ₹85
  31. 216
  32. 9
  33. 0.69
  34. 19
  35. 0.066
  36. 45
  37. 4 years
  38. Sunday
  39. 5.74
  40. 72

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