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Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 294 · 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 shopkeeper buys a toy for ₹400 and sells it for ₹380. What is his loss percent? (a) 5% (b) 10% (c) 20% (d) 6%
  2. 2.Which fraction is greater: 1/12 or 1/5? (a) 1/12 (b) They are equal (c) 1/5
  3. 3.Every pair follows the same rule: 7 : 25, 8 : 26, 9 : 27. What is 4 : ? (a) 23 (b) 24 (c) 21 (d) 22
  4. 4.2/3 + 2/4 = ? (a) 13/12 (b) 4/7 (c) 7/6 (d) 5/4
  5. 5.Every pair follows the same rule: 3 : 5, 6 : 11, 9 : 17. What is 7 : ? (a) 14 (b) 9 (c) 12 (d) 13
  6. 6.Two bells ring every 6 minutes and every 10 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 16 min (b) 60 min (c) 30 min (d) 2 min
  7. 7.4.85 + 1.1 = ? (a) 4.96 (b) 5.85 (c) 5.95 (d) 6.05
  8. 8.The simple interest on ₹4000 for 2 years is ₹880. What is the rate per year? (a) 10% (b) 11% (c) 12% (d) 22%
  9. 9.A shopkeeper buys a toy for ₹160 and sells it for ₹128. What is his loss percent? (a) 20% (b) 15% (c) 25% (d) 32%
  10. 10.A rectangle has an area of 100 sq cm and a length of 20 cm. What is its width? (a) 80 cm (b) 5 cm (c) 6 cm (d) 10 cm
  11. 11.₹350 is shared between two friends in the ratio 3 : 4. How much is the bigger share? (a) ₹50 (b) ₹150 (c) ₹200 (d) ₹175
  12. 12.What is 2/7 of 42? (a) 30 (b) 12 (c) 18 (d) 6
  13. 13.What is the simple interest on ₹3500 at 2% per year for 5 years? (a) ₹350 (b) ₹70 (c) ₹420 (d) ₹3850
  14. 14.What is the smallest number you must add to 300 to make it divisible by 7? (a) 6 (b) 1 (c) 3 (d) 2
  15. 15.5 workers can build a wall in 8 days. How many days will 2 workers take, working at the same speed? (a) 21 days (b) 20 days (c) 5 days (d) 11 days
  16. 16.A rectangle is 9 cm long and 3 cm wide. What is its perimeter? (a) 24 cm (b) 27 cm (c) 21 cm (d) 12 cm
  17. 17.4/6 + 6/8 = ? (a) 5/7 (b) 35/24 (c) 11/8 (d) 17/12
  18. 18.Which fraction is greater: 4/7 or 5/6? (a) They are equal (b) 5/6 (c) 4/7
  19. 19.Every pair follows the same rule: 5 : 13, 7 : 17, 8 : 19. What is 6 : ? (a) 14 (b) 16 (c) 17 (d) 15
  20. 20.If 3x + 18 = 2x + 22, what is x? (a) 6 (b) 5 (c) 40 (d) 4
  21. 21.A teacher has 18 pencils and 48 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 3 (b) 6 (c) 30 (d) 18
  22. 22.4 workers can build a wall in 9 days. How many days will 6 workers take, working at the same speed? (a) 7 days (b) 11 days (c) 6 days (d) 5 days
  23. 23.A shopkeeper buys a toy for ₹560 and sells it for ₹616. What is his profit percent? (a) 56% (b) 5% (c) 10% (d) 15%
  24. 24.If x/6 + 5 = 14, what is x? (a) 114 (b) 54 (c) 9 (d) 79
  25. 25.A rectangle is 7 cm long and 4 cm wide. What is its perimeter? (a) 18 cm (b) 28 cm (c) 22 cm (d) 11 cm
  26. 26.A square has a perimeter of 44 cm. What is its area? (a) 144 sq cm (b) 44 sq cm (c) 121 sq cm (d) 22 sq cm
  27. 27.What is 20% of 860? (a) 1720 (b) 688 (c) 344 (d) 172
  28. 28.What is the average of 41, 67, 52, 38 and 62? (a) 52 (b) 53 (c) 65 (d) 51
  29. 29.A teacher has 9 pencils and 15 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 1 (b) 9 (c) 6 (d) 3
  30. 30.1/2 + 2/9 = ? (a) 2/3 (b) 7/9 (c) 3/11 (d) 13/18
  31. 31.5/9 + 1/2 = ? (a) 10/9 (b) 1 (c) 6/11 (d) 19/18
  32. 32.Every pair follows the same rule: 5 : 15, 6 : 18, 9 : 27. What is 4 : ? (a) 11 (b) 13 (c) 14 (d) 12
  33. 33.Every pair follows the same rule: 3 : 15, 5 : 17, 8 : 20. What is 2 : ? (a) 13 (b) 10 (c) 15 (d) 14
  34. 34.If 9 kites cost ₹99, how much do 7 kites cost? (a) ₹88 (b) ₹693 (c) ₹77 (d) ₹97
  35. 35.5.17 + 6.6 = ? (a) 11.77 (b) 5.83 (c) 11.67 (d) 11.87
  36. 36.What is the simple interest on ₹8000 at 3% per year for 3 years? (a) ₹8720 (b) ₹960 (c) ₹240 (d) ₹720
  37. 37.What is 15% of 640? (a) 960 (b) 192 (c) 544 (d) 96
  38. 38.A shopkeeper buys a toy for ₹580 and sells it for ₹696. What is his profit percent? (a) 25% (b) 20% (c) 15% (d) 21%
  39. 39.The average of 5 numbers is 50. When one number is taken away, the average of the rest is 51. Which number was taken away? (a) 47 (b) 101 (c) 46 (d) 50
  40. 40.Which is the smallest: 0.699, 0.7, 0.73, 0.067? (a) 0.699 (b) 0.7 (c) 0.73 (d) 0.067

Answer key

  1. 5%
  2. 1/5
  3. 22
  4. 7/6
  5. 13
  6. 30 min
  7. 5.95
  8. 11%
  9. 20%
  10. 5 cm
  11. ₹200
  12. 12
  13. ₹350
  14. 1
  15. 20 days
  16. 24 cm
  17. 17/12
  18. 5/6
  19. 15
  20. 4
  21. 6
  22. 6 days
  23. 10%
  24. 54
  25. 22 cm
  26. 121 sq cm
  27. 172
  28. 52
  29. 3
  30. 13/18
  31. 19/18
  32. 12
  33. 14
  34. ₹77
  35. 11.77
  36. ₹720
  37. 96
  38. 20%
  39. 46
  40. 0.067

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