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Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 397 · 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 teacher has 10 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) 30 (c) 5 (d) 10
  2. 2.What is the simple interest on ₹3000 at 12% per year for 3 years? (a) ₹360 (b) ₹1440 (c) ₹4080 (d) ₹1080
  3. 3.If 4x + 7 = 27, what is x? (a) 5 (b) 6 (c) 20 (d) 4
  4. 4.A shopkeeper buys a toy for ₹700 and sells it for ₹910. What is his profit percent? (a) 31% (b) 35% (c) 30% (d) 25%
  5. 5.4/5 + 1/7 = ? (a) 32/35 (b) 34/35 (c) 33/35 (d) 5/12
  6. 6.If x/6 + 11 = 20, what is x? (a) 54 (b) 9 (c) 109 (d) 186
  7. 7.6 workers can build a wall in 13 days. How many days will 3 workers take, working at the same speed? (a) 16 days (b) 10 days (c) 27 days (d) 26 days
  8. 8.Which of these numbers is divisible by 3? (a) 1597 (b) 1595 (c) 1592 (d) 1593
  9. 9.In how many years will ₹3000 earn ₹120 simple interest at 2% per year? (a) 1 year (b) 2 years (c) 4 years (d) 3 years
  10. 10.A shopkeeper buys a toy for ₹800 and sells it for ₹680. What is his loss percent? (a) 15% (b) 16% (c) 20% (d) 10%
  11. 11.A rectangle is 7 cm long and 3 cm wide. What is its area? (a) 10 sq cm (b) 28 sq cm (c) 21 sq cm (d) 20 sq cm
  12. 12.6 workers can build a wall in 9 days. How many days will 9 workers take, working at the same speed? (a) 12 days (b) 7 days (c) 6 days (d) 5 days
  13. 13.What is the average of 18, 26, 25, 28 and 13? (a) 23 (b) 21 (c) 24 (d) 22
  14. 14.Every pair follows the same rule: 1 : 1, 4 : 64, 6 : 216. What is 3 : ? (a) 3 (b) 26 (c) 27 (d) 28
  15. 15.Every pair follows the same rule: 2 : 10, 4 : 12, 6 : 14. What is 7 : ? (a) 15 (b) 14 (c) 35 (d) 16
  16. 16.₹5500 is invested at 5% per year simple interest. What is the amount after 5 years? (a) ₹1375 (b) ₹6875 (c) ₹5775 (d) ₹7150
  17. 17.1.41 + 1.7 = ? (a) 3.21 (b) 3.11 (c) 3.01 (d) 1.58
  18. 18.The simple interest on ₹1500 for 4 years is ₹300. What is the rate per year? (a) 20% (b) 6% (c) 4% (d) 5%
  19. 19.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) 21 min (b) 3 min (c) 90 min (d) 30 min
  20. 20.What is the remainder when 377 is divided by 5? (a) 4 (b) 1 (c) 3 (d) 2
  21. 21.What is the simple interest on ₹4000 at 9% per year for 4 years? (a) ₹360 (b) ₹1800 (c) ₹5440 (d) ₹1440
  22. 22.A teacher has 42 pencils and 54 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 3 (b) 42 (c) 12 (d) 6
  23. 23.The average of 4 numbers is 21. When one number is taken away, the average of the rest is 23. Which number was taken away? (a) 15 (b) 44 (c) 16 (d) 21
  24. 24.Two ribbons are 6 cm and 21 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 1 cm (b) 3 cm (c) 15 cm (d) 6 cm
  25. 25.A shopkeeper buys a toy for ₹520 and sells it for ₹442. What is his loss percent? (a) 78% (b) 15% (c) 20% (d) 10%
  26. 26.If 9 notebooks cost ₹54, how much do 6 notebooks cost? (a) ₹324 (b) ₹51 (c) ₹36 (d) ₹42
  27. 27.1/3 + 1/3 = ? (a) 1/3 (b) 1 (c) 4/3 (d) 2/3
  28. 28.A shopkeeper buys a toy for ₹180 and sells it for ₹198. What is his profit percent? (a) 10% (b) 5% (c) 18% (d) 15%
  29. 29.Today is Thursday. What day of the week will it be after 26 days? (a) Thursday (b) Monday (c) Tuesday (d) Wednesday
  30. 30.A shopkeeper buys a toy for ₹460 and sells it for ₹529. What is his profit percent? (a) 10% (b) 69% (c) 20% (d) 15%
  31. 31.What is the units digit of 3^41? (a) 3 (b) 9 (c) 1 (d) 7
  32. 32.What is 7/9 of 18? (a) 2 (b) 4 (c) 16 (d) 14
  33. 33.Which fraction is greater: 4/5 or 1/4? (a) They are equal (b) 4/5 (c) 1/4
  34. 34.Which fraction is greater: 1/10 or 1/6? (a) 1/6 (b) 1/10 (c) They are equal
  35. 35.5 workers can build a wall in 14 days. How many days will 7 workers take, working at the same speed? (a) 11 days (b) 16 days (c) 10 days (d) 12 days
  36. 36.Every pair follows the same rule: 2 : 3, 4 : 15, 6 : 35. What is 8 : ? (a) 9 (b) 63 (c) 64 (d) 55
  37. 37.A rectangle has an area of 108 sq cm and a length of 12 cm. What is its width? (a) 10 cm (b) 96 cm (c) 18 cm (d) 9 cm
  38. 38.Today is Wednesday. What day of the week will it be after 60 days? (a) Monday (b) Saturday (c) Tuesday (d) Sunday
  39. 39.The average of 5 numbers is 47. When one number is taken away, the average of the rest is 48. Which number was taken away? (a) 95 (b) 44 (c) 43 (d) 47
  40. 40.A rectangle is 12 cm long and 5 cm wide. What is its perimeter? (a) 60 cm (b) 34 cm (c) 17 cm (d) 29 cm

Answer key

  1. 5
  2. ₹1080
  3. 5
  4. 30%
  5. 33/35
  6. 54
  7. 26 days
  8. 1593
  9. 2 years
  10. 15%
  11. 21 sq cm
  12. 6 days
  13. 22
  14. 27
  15. 15
  16. ₹6875
  17. 3.11
  18. 5%
  19. 30 min
  20. 2
  21. ₹1440
  22. 6
  23. 15
  24. 3 cm
  25. 15%
  26. ₹36
  27. 2/3
  28. 10%
  29. Tuesday
  30. 15%
  31. 3
  32. 14
  33. 4/5
  34. 1/6
  35. 10 days
  36. 63
  37. 9 cm
  38. Sunday
  39. 43
  40. 34 cm

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