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Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 275 · 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.A bag marked ₹1060 is sold at a 40% discount. What is its selling price? (a) ₹1484 (b) ₹424 (c) ₹1020 (d) ₹636
  2. 2.₹210 is shared between two friends in the ratio 5 : 9. How much is the bigger share? (a) ₹75 (b) ₹15 (c) ₹135 (d) ₹105
  3. 3.A square has a perimeter of 20 cm. What is its area? (a) 10 sq cm (b) 20 sq cm (c) 25 sq cm (d) 36 sq cm
  4. 4.What is the average of 75, 74, 65, 45 and 41? (a) 60 (b) 61 (c) 59 (d) 75
  5. 5.If 3x + 10 = 2x + 12, what is x? (a) 4 (b) 22 (c) 3 (d) 2
  6. 6.5.85 + 9.5 = ? (a) 6.8 (b) 15.25 (c) 15.35 (d) 15.45
  7. 7.8/9 + 1/2 = ? (a) 9/11 (b) 13/9 (c) 4/3 (d) 25/18
  8. 8.What is 30% of 480? (a) 336 (b) 1440 (c) 288 (d) 144
  9. 9.Which is the greatest: 0.3, 0.272, 0.034, 0.39? (a) 0.3 (b) 0.272 (c) 0.034 (d) 0.39
  10. 10.Today is Sunday. What day of the week will it be after 52 days? (a) Thursday (b) Tuesday (c) Wednesday (d) Friday
  11. 11.What is the smallest number you must add to 290 to make it divisible by 4? (a) 1 (b) 2 (c) 3
  12. 12.Two bells ring every 12 minutes and every 21 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 33 min (b) 252 min (c) 84 min (d) 3 min
  13. 13.Which is the smallest: 0.044, 0.246, 0.32, 0.3? (a) 0.044 (b) 0.246 (c) 0.32 (d) 0.3
  14. 14.The average of 5 numbers is 49. When one number is taken away, the average of the rest is 48. Which number was taken away? (a) 5 (b) 49 (c) 97 (d) 53
  15. 15.8 workers can build a wall in 15 days. How many days will 6 workers take, working at the same speed? (a) 20 days (b) 21 days (c) 13 days (d) 17 days
  16. 16.If x/4 + 8 = 11, what is x? (a) 3 (b) 76 (c) 36 (d) 12
  17. 17.What is the smallest number you must add to 201 to make it divisible by 6? (a) 5 (b) 2 (c) 4 (d) 3
  18. 18.₹319 is shared between two friends in the ratio 2 : 9. How much is the bigger share? (a) ₹58 (b) ₹29 (c) ₹290 (d) ₹261
  19. 19.A batter has an average of 25 runs in 5 matches. How many runs are needed in the next match to raise the average to 28? (a) 18 (b) 43 (c) 28 (d) 31
  20. 20.7.65 + 7.6 = ? (a) 15.35 (b) 15.15 (c) 8.41 (d) 15.25
  21. 21.What is 50% of 180? (a) 90 (b) 180 (c) 91 (d) 900
  22. 22.Which of these numbers is divisible by 11? (a) 2556 (b) 2567 (c) 2582 (d) 2563
  23. 23.₹185 is shared between two friends in the ratio 2 : 3. How much is the bigger share? (a) ₹111 (b) ₹37 (c) ₹74 (d) ₹148
  24. 24.What is the remainder when 379 is divided by 12? (a) 8 (b) 7 (c) 5 (d) 6
  25. 25.The average of 6 numbers is 49. When one number is taken away, the average of the rest is 54. Which number was taken away? (a) 25 (b) 103 (c) 24 (d) 49
  26. 26.The simple interest on ₹4000 for 3 years is ₹360. What is the rate per year? (a) 3% (b) 4% (c) 9% (d) 2%
  27. 27.What is the simple interest on ₹9000 at 3% per year for 5 years? (a) ₹1350 (b) ₹270 (c) ₹1620 (d) ₹10350
  28. 28.What is 1/2 of 24? (a) 24 (b) 13 (c) 12 (d) 11
  29. 29.What is 4/5 of 30? (a) 30 (b) 24 (c) 25 (d) 6
  30. 30.4.16 + 8.4 = ? (a) 5 (b) 12.46 (c) 12.56 (d) 12.66
  31. 31.What is the simple interest on ₹2500 at 2% per year for 5 years? (a) ₹2750 (b) ₹250 (c) ₹300 (d) ₹50
  32. 32.If 12 March is a Sunday, what day of the week is 25 March? (a) Friday (b) Monday (c) Saturday (d) Sunday
  33. 33.If 31 January is a Sunday, what day of the week is 7 February? (a) Monday (b) Saturday (c) Tuesday (d) Sunday
  34. 34.A shopkeeper buys a toy for ₹680 and sells it for ₹748. What is his profit percent? (a) 68% (b) 15% (c) 5% (d) 10%
  35. 35.A rectangle has an area of 54 sq cm and a length of 9 cm. What is its width? (a) 7 cm (b) 12 cm (c) 45 cm (d) 6 cm
  36. 36.If 7 pens cost ₹77, how much do 8 pens cost? (a) ₹616 (b) ₹88 (c) ₹78 (d) ₹99
  37. 37.If 8 pens cost ₹24, how much do 2 pens cost? (a) ₹18 (b) ₹6 (c) ₹48 (d) ₹9
  38. 38.What is the smallest number you must add to 588 to make it divisible by 11? (a) 5 (b) 7 (c) 8 (d) 6
  39. 39.What is 5/6 of 30? (a) 26 (b) 25 (c) 30 (d) 5
  40. 40.A bag marked ₹1960 is sold at a 30% discount. What is its selling price? (a) ₹588 (b) ₹2548 (c) ₹1930 (d) ₹1372

Answer key

  1. ₹636
  2. ₹135
  3. 25 sq cm
  4. 60
  5. 2
  6. 15.35
  7. 25/18
  8. 144
  9. 0.39
  10. Wednesday
  11. 2
  12. 84 min
  13. 0.044
  14. 53
  15. 20 days
  16. 12
  17. 3
  18. ₹261
  19. 43
  20. 15.25
  21. 90
  22. 2563
  23. ₹111
  24. 7
  25. 24
  26. 3%
  27. ₹1350
  28. 12
  29. 24
  30. 12.56
  31. ₹250
  32. Saturday
  33. Sunday
  34. 10%
  35. 6 cm
  36. ₹88
  37. ₹6
  38. 6
  39. 25
  40. ₹1372

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