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Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 826 · 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.What is the value of the digit 2 in 71.294? (a) 0.002 (b) 2 (c) 0.02 (d) 0.2
  2. 2.Two bells ring every 15 minutes and every 21 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 315 min (b) 36 min (c) 3 min (d) 105 min
  3. 3.In how many years will ₹6500 earn ₹1560 simple interest at 12% per year? (a) 1 year (b) 2 years (c) 3 years (d) 4 years
  4. 4.A rectangle is 12 cm long and 3 cm wide. What is its perimeter? (a) 36 cm (b) 30 cm (c) 27 cm (d) 15 cm
  5. 5.Two ribbons are 9 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) 9 cm (b) 12 cm (c) 3 cm (d) 1 cm
  6. 6.If 24 April is a Saturday, what day of the week is 8 May? (a) Saturday (b) Friday (c) Monday (d) Sunday
  7. 7.In how many years will ₹5500 earn ₹2200 simple interest at 8% per year? (a) 4 years (b) 10 years (c) 6 years (d) 5 years
  8. 8.The simple interest on ₹8500 for 3 years is ₹1275. What is the rate per year? (a) 15% (b) 5% (c) 6% (d) 4%
  9. 9.Today is Monday. What day of the week will it be after 19 days? (a) Monday (b) Saturday (c) Sunday (d) Friday
  10. 10.A teacher has 40 pencils and 45 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 1 (b) 360 (c) 5 (d) 40
  11. 11.What is the remainder when 892 is divided by 12? (a) 3 (b) 4 (c) 8 (d) 5
  12. 12.If 3x + 22 = 58, what is x? (a) 12 (b) 36 (c) 13 (d) 11
  13. 13.In how many years will ₹6000 earn ₹720 simple interest at 3% per year? (a) 5 years (b) 3 years (c) 4 years (d) 8 years
  14. 14.What is 4/5 of 10? (a) 10 (b) 9 (c) 8 (d) 2
  15. 15.What is the remainder when 112 is divided by 3? (a) 2 (b) 0 (c) 1
  16. 16.Two bells ring every 18 minutes and every 24 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 6 min (b) 72 min (c) 42 min (d) 432 min
  17. 17.What is the smallest number you must add to 471 to make it divisible by 9? (a) 3 (b) 7 (c) 5 (d) 6
  18. 18.What is the smallest number of sweets that can be shared equally among 10 children or among 35 children, with none left over? (a) 45 (b) 140 (c) 350 (d) 70
  19. 19.A rectangle is 6 cm long and 3 cm wide. What is its perimeter? (a) 15 cm (b) 18 cm (c) 9 cm (d) 19 cm
  20. 20.8.78 + 8.6 = ? (a) 9.64 (b) 17.38 (c) 17.28 (d) 17.48
  21. 21.If 28 April is a Thursday, what day of the week is 4 May? (a) Friday (b) Thursday (c) Wednesday (d) Tuesday
  22. 22.Which fraction is greater: 7/8 or 2/3? (a) They are equal (b) 7/8 (c) 2/3
  23. 23.1.71 + 7.1 = ? (a) 8.81 (b) 8.91 (c) 2.42 (d) 8.71
  24. 24.Which fraction is greater: 2/11 or 1/3? (a) 2/11 (b) They are equal (c) 1/3
  25. 25.₹3500 is invested at 6% per year simple interest. What is the amount after 5 years? (a) ₹4550 (b) ₹3710 (c) ₹1050 (d) ₹4760
  26. 26.A rectangle has an area of 135 sq cm and a length of 15 cm. What is its width? (a) 120 cm (b) 10 cm (c) 9 cm (d) 18 cm
  27. 27.If 29 March is a Monday, what day of the week is 15 April? (a) Wednesday (b) Friday (c) Thursday (d) Saturday
  28. 28.What is the remainder when 388 is divided by 10? (a) 7 (b) 2 (c) 9 (d) 8
  29. 29.Every pair follows the same rule: 3 : 5, 5 : 9, 8 : 15. What is 7 : ? (a) 13 (b) 12 (c) 14 (d) 9
  30. 30.Today is Tuesday. What day of the week will it be after 27 days? (a) Sunday (b) Wednesday (c) Monday (d) Tuesday
  31. 31.In how many years will ₹4500 earn ₹1350 simple interest at 10% per year? (a) 3 years (b) 6 years (c) 4 years (d) 2 years
  32. 32.8.32 + 5.7 = ? (a) 13.92 (b) 14.02 (c) 14.12 (d) 8.89
  33. 33.What is 1/5 of 60? (a) 48 (b) 13 (c) 12 (d) 24
  34. 34.If 5 May is a Sunday, what day of the week is 20 May? (a) Wednesday (b) Monday (c) Sunday (d) Tuesday
  35. 35.If 9 pens cost ₹144, how much do 8 pens cost? (a) ₹1152 (b) ₹128 (c) ₹144 (d) ₹143
  36. 36.If 5 notebooks cost ₹125, how much do 11 notebooks cost? (a) ₹300 (b) ₹131 (c) ₹1375 (d) ₹275
  37. 37.What is the smallest number you must add to 508 to make it divisible by 12? (a) 9 (b) 8 (c) 7 (d) 4
  38. 38.If 4x + 9 = 41, what is x? (a) 8 (b) 9 (c) 32 (d) 7
  39. 39.If x/2 + 1 = 5, what is x? (a) 12 (b) 9 (c) 4 (d) 8
  40. 40.If 8 kites cost ₹80, how much do 5 kites cost? (a) ₹77 (b) ₹60 (c) ₹400 (d) ₹50

Answer key

  1. 0.2
  2. 105 min
  3. 2 years
  4. 30 cm
  5. 3 cm
  6. Saturday
  7. 5 years
  8. 5%
  9. Saturday
  10. 5
  11. 4
  12. 12
  13. 4 years
  14. 8
  15. 1
  16. 72 min
  17. 6
  18. 70
  19. 18 cm
  20. 17.38
  21. Wednesday
  22. 7/8
  23. 8.81
  24. 1/3
  25. ₹4550
  26. 9 cm
  27. Thursday
  28. 8
  29. 13
  30. Monday
  31. 3 years
  32. 14.02
  33. 12
  34. Monday
  35. ₹128
  36. ₹275
  37. 8
  38. 8
  39. 8
  40. ₹50

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