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Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 453 · 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.₹88 is shared between two friends in the ratio 1 : 3. How much is the bigger share? (a) ₹44 (b) ₹88 (c) ₹66 (d) ₹22
  2. 2.In how many years will ₹8000 earn ₹480 simple interest at 3% per year? (a) 3 years (b) 2 years (c) 1 year (d) 4 years
  3. 3.Today is Monday. What day of the week will it be after 77 days? (a) Wednesday (b) Monday (c) Tuesday (d) Sunday
  4. 4.₹5500 is invested at 10% per year simple interest. What is the amount after 4 years? (a) ₹8250 (b) ₹6050 (c) ₹2200 (d) ₹7700
  5. 5.A rectangle is 15 cm long and 10 cm wide. What is its perimeter? (a) 150 cm (b) 25 cm (c) 40 cm (d) 50 cm
  6. 6.4 workers can build a wall in 9 days. How many days will 3 workers take, working at the same speed? (a) 8 days (b) 12 days (c) 13 days (d) 10 days
  7. 7.If 2x − 13 = 13, what is x? (a) 14 (b) 26 (c) 13 (d) 12
  8. 8.1.52 + 3.6 = ? (a) 1.88 (b) 5.02 (c) 5.12 (d) 5.22
  9. 9.Today is Saturday. What day of the week will it be after 92 days? (a) Tuesday (b) Saturday (c) Sunday (d) Monday
  10. 10.Today is Monday. What day of the week will it be after 41 days? (a) Sunday (b) Tuesday (c) Monday (d) Saturday
  11. 11.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) 60 min (b) 2 min (c) 16 min (d) 30 min
  12. 12.What is 4/7 of 14? (a) 10 (b) 8 (c) 6 (d) 2
  13. 13.₹200 is shared between two friends in the ratio 1 : 9. How much is the bigger share? (a) ₹100 (b) ₹200 (c) ₹20 (d) ₹180
  14. 14.What is 5% of 140? (a) 70 (b) 7 (c) 14 (d) 133
  15. 15.3 workers can build a wall in 9 days. How many days will 9 workers take, working at the same speed? (a) 4 days (b) 3 days (c) 27 days (d) 15 days
  16. 16.A square has a perimeter of 32 cm. What is its area? (a) 16 sq cm (b) 81 sq cm (c) 32 sq cm (d) 64 sq cm
  17. 17.₹3500 is invested at 3% per year simple interest. What is the amount after 5 years? (a) ₹525 (b) ₹4025 (c) ₹3605 (d) ₹4130
  18. 18.Which of these numbers is divisible by 9? (a) 5799 (b) 5794 (c) 5782 (d) 5787
  19. 19.₹49 is shared between two friends in the ratio 1 : 6. How much is the bigger share? (a) ₹43 (b) ₹7 (c) ₹49 (d) ₹42
  20. 20.1.53 + 7.2 = ? (a) 8.73 (b) 2.25 (c) 8.63 (d) 8.83
  21. 21.Every pair follows the same rule: 3 : 9, 7 : 49, 8 : 64. What is 2 : ? (a) 5 (b) 6 (c) 8 (d) 4
  22. 22.A rectangle is 6 cm long and 4 cm wide. What is its perimeter? (a) 10 cm (b) 16 cm (c) 20 cm (d) 24 cm
  23. 23.Every pair follows the same rule: 3 : 13, 4 : 16, 7 : 25. What is 5 : ? (a) 18 (b) 15 (c) 19 (d) 20
  24. 24.Which fraction is greater: 2/3 or 3/4? (a) 2/3 (b) 3/4 (c) They are equal
  25. 25.A teacher has 28 pencils and 63 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 35 (b) 1 (c) 7 (d) 28
  26. 26.What is 30% of 820? (a) 492 (b) 2460 (c) 574 (d) 246
  27. 27.A bag marked ₹1580 is sold at a 15% discount. What is its selling price? (a) ₹1817 (b) ₹237 (c) ₹1565 (d) ₹1343
  28. 28.Every pair follows the same rule: 5 : 13, 8 : 22, 9 : 25. What is 6 : ? (a) 17 (b) 15 (c) 14 (d) 16
  29. 29.A shopkeeper buys a toy for ₹660 and sells it for ₹561. What is his loss percent? (a) 99% (b) 20% (c) 15% (d) 10%
  30. 30.A rectangle is 7 cm long and 6 cm wide. What is its area? (a) 26 sq cm (b) 49 sq cm (c) 13 sq cm (d) 42 sq cm
  31. 31.A shopkeeper buys a toy for ₹640 and sells it for ₹704. What is his profit percent? (a) 5% (b) 15% (c) 10% (d) 64%
  32. 32.If 3x + 21 = 30, what is x? (a) 3 (b) 4 (c) 17 (d) 9
  33. 33.A bag marked ₹1100 is sold at a 20% discount. What is its selling price? (a) ₹220 (b) ₹1080 (c) ₹880 (d) ₹1320
  34. 34.What is the smallest number you must add to 250 to make it divisible by 4? (a) 2 (b) 1 (c) 3
  35. 35.What is 1/4 of 16? (a) 5 (b) 8 (c) 4 (d) 12
  36. 36.₹2500 is invested at 11% per year simple interest. What is the amount after 2 years? (a) ₹3050 (b) ₹2775 (c) ₹550 (d) ₹3325
  37. 37.8 workers can build a wall in 14 days. How many days will 2 workers take, working at the same speed? (a) 57 days (b) 56 days (c) 20 days (d) 8 days
  38. 38.A rectangle is 7 cm long and 3 cm wide. What is its area? (a) 20 sq cm (b) 10 sq cm (c) 28 sq cm (d) 21 sq cm
  39. 39.Every pair follows the same rule: 6 : 36, 8 : 64, 9 : 81. What is 7 : ? (a) 47 (b) 37 (c) 42 (d) 49
  40. 40.The simple interest on ₹4500 for 4 years is ₹540. What is the rate per year? (a) 3% (b) 4% (c) 2% (d) 12%

Answer key

  1. ₹66
  2. 2 years
  3. Monday
  4. ₹7700
  5. 50 cm
  6. 12 days
  7. 13
  8. 5.12
  9. Sunday
  10. Sunday
  11. 30 min
  12. 8
  13. ₹180
  14. 7
  15. 3 days
  16. 64 sq cm
  17. ₹4025
  18. 5787
  19. ₹42
  20. 8.73
  21. 4
  22. 20 cm
  23. 19
  24. 3/4
  25. 7
  26. 246
  27. ₹1343
  28. 16
  29. 15%
  30. 42 sq cm
  31. 10%
  32. 3
  33. ₹880
  34. 2
  35. 4
  36. ₹3050
  37. 56 days
  38. 21 sq cm
  39. 49
  40. 3%

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