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Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 240 · 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 ₹5000 earn ₹2250 simple interest at 9% per year? (a) 6 years (b) 4 years (c) 10 years (d) 5 years
  2. 2.A rectangle has an area of 84 sq cm and a length of 14 cm. What is its width? (a) 12 cm (b) 70 cm (c) 7 cm (d) 6 cm
  3. 3.6 workers can build a wall in 11 days. How many days will 3 workers take, working at the same speed? (a) 22 days (b) 14 days (c) 8 days (d) 23 days
  4. 4.A bag marked ₹300 is sold at a 50% discount. What is its selling price? (a) ₹450 (b) ₹250 (c) ₹150 (d) ₹151
  5. 5.A batter has an average of 20 runs in 3 matches. How many runs are needed in the next match to raise the average to 22? (a) 22 (b) 24 (c) 8 (d) 28
  6. 6.A bag marked ₹220 is sold at a 15% discount. What is its selling price? (a) ₹205 (b) ₹187 (c) ₹33 (d) ₹253
  7. 7.If 4x + 8 = 68, what is x? (a) 16 (b) 15 (c) 19 (d) 60
  8. 8.What is the remainder when 531 is divided by 11? (a) 4 (b) 3 (c) 8 (d) 2
  9. 9.Which is the greatest: 0.062, 0.732, 0.8, 0.89? (a) 0.062 (b) 0.732 (c) 0.8 (d) 0.89
  10. 10.Every pair follows the same rule: 2 : 8, 3 : 27, 6 : 216. What is 4 : ? (a) 10 (b) 64 (c) 16 (d) 90
  11. 11.What is the simple interest on ₹2000 at 12% per year for 5 years? (a) ₹240 (b) ₹1440 (c) ₹3200 (d) ₹1200
  12. 12.Which is the smallest: 0.137, 0.2, 0.066, 0.29? (a) 0.137 (b) 0.2 (c) 0.066 (d) 0.29
  13. 13.What is the remainder when 745 is divided by 12? (a) 1 (b) 0 (c) 2 (d) 11
  14. 14.Two bells ring every 20 minutes and every 28 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 48 min (b) 560 min (c) 140 min (d) 4 min
  15. 15.Today is Thursday. What day of the week will it be after 80 days? (a) Monday (b) Sunday (c) Saturday (d) Tuesday
  16. 16.What is 1/2 of 8? (a) 4 (b) 3 (c) 5 (d) 8
  17. 17.If 2 mangoes cost ₹44, how much do 6 mangoes cost? (a) ₹132 (b) ₹154 (c) ₹264 (d) ₹48
  18. 18.Every pair follows the same rule: 2 : 7, 3 : 8, 9 : 14. What is 7 : ? (a) 13 (b) 14 (c) 11 (d) 12
  19. 19.If 2 notebooks cost ₹46, how much do 6 notebooks cost? (a) ₹276 (b) ₹138 (c) ₹161 (d) ₹50
  20. 20.What is the smallest number you must add to 320 to make it divisible by 12? (a) 4 (b) 5 (c) 8 (d) 3
  21. 21.What is the average of 54, 69, 77, 70, 72 and 48? (a) 65 (b) 78 (c) 66 (d) 64
  22. 22.In how many years will ₹7000 earn ₹1260 simple interest at 9% per year? (a) 4 years (b) 3 years (c) 2 years (d) 1 year
  23. 23.1/2 + 2/3 = ? (a) 1 (b) 3/5 (c) 7/6 (d) 4/3
  24. 24.If 5x + 10 = 4x + 20, what is x? (a) 10 (b) 11 (c) 12 (d) 30
  25. 25.What is 5% of 140? (a) 14 (b) 7 (c) 133 (d) 70
  26. 26.If 3x − 19 = 8, what is x? (a) 9 (b) 8 (c) 27 (d) 10
  27. 27.A shopkeeper buys a toy for ₹400 and sells it for ₹380. What is his loss percent? (a) 10% (b) 6% (c) 5% (d) 20%
  28. 28.Two ribbons are 20 cm and 35 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 15 cm (b) 5 cm (c) 1 cm (d) 20 cm
  29. 29.Every pair follows the same rule: 6 : 40, 7 : 53, 8 : 68. What is 2 : ? (a) 9 (b) 36 (c) 7 (d) 8
  30. 30.₹376 is shared between two friends in the ratio 3 : 5. How much is the bigger share? (a) ₹188 (b) ₹235 (c) ₹141 (d) ₹47
  31. 31.Every pair follows the same rule: 6 : 11, 7 : 12, 9 : 14. What is 4 : ? (a) 9 (b) 10 (c) 11 (d) 8
  32. 32.A rectangle is 7 cm long and 6 cm wide. What is its perimeter? (a) 26 cm (b) 20 cm (c) 13 cm (d) 42 cm
  33. 33.If 3x + 17 = 2x + 26, what is x? (a) 10 (b) 43 (c) 11 (d) 9
  34. 34.4 workers can build a wall in 9 days. How many days will 9 workers take, working at the same speed? (a) 5 days (b) 14 days (c) 4 days (d) 3 days
  35. 35.If 11 May is a Saturday, what day of the week is 26 May? (a) Saturday (b) Tuesday (c) Monday (d) Sunday
  36. 36.If 8x + 13 = 5x + 46, what is x? (a) 12 (b) 11 (c) 10 (d) 13
  37. 37.What is the remainder when 309 is divided by 9? (a) 4 (b) 3 (c) 2 (d) 6
  38. 38.What is the remainder when 122 is divided by 5? (a) 3 (b) 4 (c) 2 (d) 1
  39. 39.If 3 July is a Wednesday, what day of the week is 11 July? (a) Friday (b) Wednesday (c) Saturday (d) Thursday
  40. 40.5 workers can build a wall in 14 days. How many days will 10 workers take, working at the same speed? (a) 28 days (b) 19 days (c) 7 days (d) 9 days

Answer key

  1. 5 years
  2. 6 cm
  3. 22 days
  4. ₹150
  5. 28
  6. ₹187
  7. 15
  8. 3
  9. 0.89
  10. 64
  11. ₹1200
  12. 0.066
  13. 1
  14. 140 min
  15. Sunday
  16. 4
  17. ₹132
  18. 12
  19. ₹138
  20. 4
  21. 65
  22. 2 years
  23. 7/6
  24. 10
  25. 7
  26. 9
  27. 5%
  28. 5 cm
  29. 8
  30. ₹235
  31. 9
  32. 26 cm
  33. 9
  34. 4 days
  35. Sunday
  36. 11
  37. 3
  38. 2
  39. Thursday
  40. 7 days

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