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Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 60 · 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.The average of 8 numbers is 36. When one number is taken away, the average of the rest is 31. Which number was taken away? (a) 36 (b) 67 (c) 71 (d) 40
  2. 2.A rectangle is 9 cm long and 4 cm wide. What is its perimeter? (a) 13 cm (b) 26 cm (c) 36 cm (d) 22 cm
  3. 3.The simple interest on ₹10000 for 3 years is ₹1800. What is the rate per year? (a) 7% (b) 6% (c) 18% (d) 5%
  4. 4.2.11 + 9.5 = ? (a) 11.61 (b) 11.71 (c) 3.06 (d) 11.51
  5. 5.What is the simple interest on ₹2500 at 11% per year for 4 years? (a) ₹1375 (b) ₹1100 (c) ₹275 (d) ₹3600
  6. 6.If 4x + 6 = 2x + 14, what is x? (a) 6 (b) 4 (c) 10 (d) 5
  7. 7.Today is Thursday. What day of the week will it be after 38 days? (a) Saturday (b) Sunday (c) Tuesday (d) Monday
  8. 8.What is 4/7 of 28? (a) 20 (b) 12 (c) 16 (d) 4
  9. 9.₹5500 is invested at 8% per year simple interest. What is the amount after 5 years? (a) ₹8140 (b) ₹5940 (c) ₹2200 (d) ₹7700
  10. 10.8 workers can build a wall in 5 days. How many days will 4 workers take, working at the same speed? (a) 10 days (b) 9 days (c) 1 day (d) 11 days
  11. 11.What is the units digit of 4^46? (a) 5 (b) 7 (c) 4 (d) 6
  12. 12.6/9 + 2/6 = ? (a) 17/18 (b) 1 (c) 19/18 (d) 8/15
  13. 13.What is the simple interest on ₹2500 at 9% per year for 3 years? (a) ₹675 (b) ₹900 (c) ₹3175 (d) ₹225
  14. 14.What is the smallest number of sweets that can be shared equally among 6 children or among 15 children, with none left over? (a) 30 (b) 21 (c) 90 (d) 60
  15. 15.A shopkeeper buys a toy for ₹860 and sells it for ₹1290. What is his profit percent? (a) 50% (b) 45% (c) 51% (d) 55%
  16. 16.What is the smallest number you must add to 296 to make it divisible by 5? (a) 1 (b) 3 (c) 2 (d) 4
  17. 17.What is the value of the digit 8 in 89.265? (a) 8 (b) 0.8 (c) 80 (d) 0.08
  18. 18.A shopkeeper buys a toy for ₹840 and sells it for ₹1176. What is his profit percent? (a) 45% (b) 35% (c) 41% (d) 40%
  19. 19.1/8 + 1/8 = ? (a) 3/8 (b) 1/2 (c) 1/8 (d) 1/4
  20. 20.Which is the smallest: 0.029, 0.7, 0.77, 0.618? (a) 0.029 (b) 0.7 (c) 0.77 (d) 0.618
  21. 21.A bag marked ₹1820 is sold at a 50% discount. What is its selling price? (a) ₹911 (b) ₹910 (c) ₹1770 (d) ₹2730
  22. 22.What is the simple interest on ₹1000 at 3% per year for 3 years? (a) ₹120 (b) ₹90 (c) ₹30 (d) ₹1090
  23. 23.Every pair follows the same rule: 5 : 40, 6 : 48, 9 : 72. What is 2 : ? (a) 15 (b) 16 (c) 37 (d) 17
  24. 24.If 30 March is a Saturday, what day of the week is 3 April? (a) Thursday (b) Tuesday (c) Wednesday (d) Friday
  25. 25.If 6x + 2 = 32, what is x? (a) 4 (b) 6 (c) 30 (d) 5
  26. 26.Every pair follows the same rule: 2 : 10, 4 : 12, 8 : 16. What is 7 : ? (a) 16 (b) 14 (c) 15 (d) 35
  27. 27.Two bells ring every 10 minutes and every 12 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 2 min (b) 60 min (c) 120 min (d) 22 min
  28. 28.A batter has an average of 60 runs in 4 matches. How many runs are needed in the next match to raise the average to 65? (a) 70 (b) 25 (c) 85 (d) 65
  29. 29.A bag marked ₹1060 is sold at a 15% discount. What is its selling price? (a) ₹159 (b) ₹1045 (c) ₹1219 (d) ₹901
  30. 30.If 6x + 16 = 40, what is x? (a) 5 (b) 3 (c) 4 (d) 24
  31. 31.What is the simple interest on ₹4000 at 9% per year for 5 years? (a) ₹2160 (b) ₹360 (c) ₹5800 (d) ₹1800
  32. 32.What is the remainder when 326 is divided by 7? (a) 4 (b) 6 (c) 5 (d) 3
  33. 33.A teacher has 12 pencils and 30 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 18 (b) 12 (c) 6 (d) 3
  34. 34.Two bells ring every 9 minutes and every 12 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 3 min (b) 108 min (c) 36 min (d) 21 min
  35. 35.A shopkeeper buys a toy for ₹200 and sells it for ₹190. What is his loss percent? (a) 4% (b) 10% (c) 5% (d) 6%
  36. 36.If 14 October is a Tuesday, what day of the week is 27 October? (a) Wednesday (b) Tuesday (c) Monday (d) Sunday
  37. 37.A rectangle is 10 cm long and 9 cm wide. What is its area? (a) 100 sq cm (b) 19 sq cm (c) 90 sq cm (d) 38 sq cm
  38. 38.Two bells ring every 8 minutes and every 14 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 22 min (b) 2 min (c) 56 min (d) 112 min
  39. 39.Which fraction is greater: 8/9 or 4/11? (a) They are equal (b) 4/11 (c) 8/9
  40. 40.If 24 March is a Thursday, what day of the week is 16 April? (a) Saturday (b) Sunday (c) Friday (d) Monday

Answer key

  1. 71
  2. 26 cm
  3. 6%
  4. 11.61
  5. ₹1100
  6. 4
  7. Sunday
  8. 16
  9. ₹7700
  10. 10 days
  11. 6
  12. 1
  13. ₹675
  14. 30
  15. 50%
  16. 4
  17. 80
  18. 40%
  19. 1/4
  20. 0.029
  21. ₹910
  22. ₹90
  23. 16
  24. Wednesday
  25. 5
  26. 15
  27. 60 min
  28. 85
  29. ₹901
  30. 4
  31. ₹1800
  32. 4
  33. 6
  34. 36 min
  35. 5%
  36. Monday
  37. 90 sq cm
  38. 56 min
  39. 8/9
  40. Saturday

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