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Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 411 · 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.If 4 May is a Sunday, what day of the week is 20 May? (a) Wednesday (b) Monday (c) Thursday (d) Tuesday
  2. 2.Which fraction is greater: 4/7 or 4/5? (a) 4/7 (b) 4/5 (c) They are equal
  3. 3.What is the simple interest on ₹8000 at 3% per year for 2 years? (a) ₹480 (b) ₹720 (c) ₹240 (d) ₹8480
  4. 4.What is the simple interest on ₹1500 at 10% per year for 5 years? (a) ₹2250 (b) ₹150 (c) ₹750 (d) ₹900
  5. 5.What is the simple interest on ₹1500 at 7% per year for 3 years? (a) ₹105 (b) ₹420 (c) ₹315 (d) ₹1815
  6. 6.Which is the greatest: 0.6, 0.068, 0.67, 0.565? (a) 0.6 (b) 0.068 (c) 0.67 (d) 0.565
  7. 7.What is the simple interest on ₹8000 at 6% per year for 2 years? (a) ₹960 (b) ₹8960 (c) ₹480 (d) ₹1440
  8. 8.A rectangle is 19 cm long and 5 cm wide. What is its area? (a) 24 sq cm (b) 48 sq cm (c) 114 sq cm (d) 95 sq cm
  9. 9.Two bells ring every 6 minutes and every 15 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 30 min (b) 90 min (c) 3 min (d) 21 min
  10. 10.4 workers can build a wall in 12 days. How many days will 8 workers take, working at the same speed? (a) 8 days (b) 24 days (c) 6 days (d) 16 days
  11. 11.A rectangle is 17 cm long and 6 cm wide. What is its perimeter? (a) 40 cm (b) 102 cm (c) 46 cm (d) 23 cm
  12. 12.Which is the greatest: 0.797, 0.011, 0.81, 0.8? (a) 0.797 (b) 0.011 (c) 0.81 (d) 0.8
  13. 13.Which is the smallest: 0.032, 0.38, 0.3, 0.298? (a) 0.032 (b) 0.38 (c) 0.3 (d) 0.298
  14. 14.Every pair follows the same rule: 2 : 9, 6 : 13, 7 : 14. What is 9 : ? (a) 17 (b) 16 (c) 15 (d) 18
  15. 15.What is the average of 30, 59, 34, 42 and 60? (a) 44 (b) 47 (c) 45 (d) 46
  16. 16.2.05 + 7.9 = ? (a) 9.85 (b) 9.95 (c) 2.84 (d) 10.05
  17. 17.4 workers can build a wall in 14 days. How many days will 2 workers take, working at the same speed? (a) 16 days (b) 12 days (c) 7 days (d) 28 days
  18. 18.A square has a perimeter of 60 cm. What is its area? (a) 60 sq cm (b) 30 sq cm (c) 225 sq cm (d) 256 sq cm
  19. 19.Every pair follows the same rule: 3 : 27, 4 : 64, 5 : 125. What is 1 : ? (a) 1 (b) 25 (c) 2 (d) 9
  20. 20.What is the smallest number you must add to 693 to make it divisible by 10? (a) 6 (b) 8 (c) 3 (d) 7
  21. 21.What is the remainder when 215 is divided by 10? (a) 6 (b) 5 (c) 4 (d) 7
  22. 22.If x/3 + 13 = 24, what is x? (a) 59 (b) 11 (c) 33 (d) 111
  23. 23.What is the remainder when 463 is divided by 6? (a) 5 (b) 2 (c) 0 (d) 1
  24. 24.What is the simple interest on ₹3500 at 6% per year for 2 years? (a) ₹210 (b) ₹420 (c) ₹630 (d) ₹3920
  25. 25.₹1000 is invested at 10% per year simple interest. What is the amount after 4 years? (a) ₹400 (b) ₹1100 (c) ₹1500 (d) ₹1400
  26. 26.Which is the greatest: 0.078, 0.341, 0.4, 0.45? (a) 0.078 (b) 0.341 (c) 0.4 (d) 0.45
  27. 27.A bag marked ₹1860 is sold at a 20% discount. What is its selling price? (a) ₹1840 (b) ₹372 (c) ₹1488 (d) ₹2232
  28. 28.₹143 is shared between two friends in the ratio 5 : 8. How much is the bigger share? (a) ₹11 (b) ₹55 (c) ₹99 (d) ₹88
  29. 29.Which fraction is greater: 11/12 or 4/5? (a) 4/5 (b) They are equal (c) 11/12
  30. 30.If 3x + 13 = 2x + 25, what is x? (a) 13 (b) 12 (c) 38 (d) 14
  31. 31.₹495 is shared between two friends in the ratio 5 : 6. How much is the bigger share? (a) ₹270 (b) ₹225 (c) ₹45 (d) ₹315
  32. 32.7.62 + 4.1 = ? (a) 11.62 (b) 11.72 (c) 11.82 (d) 8.03
  33. 33.A teacher has 20 pencils and 24 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 4 (b) 20 (c) 120 (d) 2
  34. 34.If 3x − 14 = 31, what is x? (a) 45 (b) 14 (c) 15 (d) 16
  35. 35.Every pair follows the same rule: 3 : 11, 5 : 19, 9 : 35. What is 7 : ? (a) 26 (b) 28 (c) 15 (d) 27
  36. 36.What is the simple interest on ₹9000 at 10% per year for 3 years? (a) ₹900 (b) ₹3600 (c) ₹2700 (d) ₹11700
  37. 37.Which fraction is greater: 1/10 or 2/11? (a) 1/10 (b) They are equal (c) 2/11
  38. 38.Which of these numbers is divisible by 3? (a) 2493 (b) 2497 (c) 2494 (d) 2492
  39. 39.Every pair follows the same rule: 4 : 10, 6 : 14, 8 : 18. What is 3 : ? (a) 9 (b) 8 (c) 10 (d) 7
  40. 40.What is the average of all the whole numbers from 12 to 18? (a) 6 (b) 3 (c) 16 (d) 15

Answer key

  1. Tuesday
  2. 4/5
  3. ₹480
  4. ₹750
  5. ₹315
  6. 0.67
  7. ₹960
  8. 95 sq cm
  9. 30 min
  10. 6 days
  11. 46 cm
  12. 0.81
  13. 0.032
  14. 16
  15. 45
  16. 9.95
  17. 28 days
  18. 225 sq cm
  19. 1
  20. 7
  21. 5
  22. 33
  23. 1
  24. ₹420
  25. ₹1400
  26. 0.45
  27. ₹1488
  28. ₹88
  29. 11/12
  30. 12
  31. ₹270
  32. 11.72
  33. 4
  34. 15
  35. 27
  36. ₹2700
  37. 2/11
  38. 2493
  39. 8
  40. 15

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