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Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 43 · 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.Two ribbons are 10 cm and 45 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) 5 cm (c) 35 cm (d) 10 cm
  2. 2.4/6 + 3/8 = ? (a) 13/12 (b) 1 (c) 25/24 (d) 1/2
  3. 3.What is 25% of 580? (a) 290 (b) 145 (c) 435 (d) 1450
  4. 4.What is the units digit of 8^17? (a) 2 (b) 8 (c) 6 (d) 4
  5. 5.Which fraction is greater: 4/5 or 5/12? (a) 4/5 (b) 5/12 (c) They are equal
  6. 6.The simple interest on ₹1500 for 4 years is ₹180. What is the rate per year? (a) 12% (b) 2% (c) 4% (d) 3%
  7. 7.If 3x − 6 = 21, what is x? (a) 27 (b) 9 (c) 5 (d) 10
  8. 8.The simple interest on ₹6500 for 4 years is ₹2600. What is the rate per year? (a) 11% (b) 10% (c) 40% (d) 9%
  9. 9.5/7 + 2/5 = ? (a) 8/7 (b) 39/35 (c) 7/12 (d) 38/35
  10. 10.Two bells ring every 4 minutes and every 10 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 2 min (b) 20 min (c) 14 min (d) 40 min
  11. 11.What is the simple interest on ₹7000 at 2% per year for 5 years? (a) ₹140 (b) ₹700 (c) ₹7700 (d) ₹840
  12. 12.What is the units digit of 9^60? (a) 9 (b) 0 (c) 1 (d) 2
  13. 13.What is the remainder when 149 is divided by 3? (a) 1 (b) 2 (c) 0
  14. 14.The simple interest on ₹2000 for 2 years is ₹120. What is the rate per year? (a) 2% (b) 3% (c) 6% (d) 4%
  15. 15.If 7 notebooks cost ₹154, how much do 4 notebooks cost? (a) ₹151 (b) ₹88 (c) ₹110 (d) ₹616
  16. 16.If 3 August is a Tuesday, what day of the week is 16 August? (a) Wednesday (b) Tuesday (c) Monday (d) Sunday
  17. 17.What is 7/9 of 108? (a) 24 (b) 96 (c) 12 (d) 84
  18. 18.2/5 + 6/7 = ? (a) 9/7 (b) 2/3 (c) 44/35 (d) 43/35
  19. 19.Every pair follows the same rule: 6 : 34, 8 : 62, 9 : 79. What is 5 : ? (a) 11 (b) 24 (c) 33 (d) 23
  20. 20.What is the value of the digit 8 in 82.341? (a) 0.08 (b) 80 (c) 0.8 (d) 8
  21. 21.A shopkeeper buys a toy for ₹240 and sells it for ₹252. What is his profit percent? (a) 5% (b) 10% (c) 12% (d) 6%
  22. 22.A rectangle is 11 cm long and 9 cm wide. What is its perimeter? (a) 31 cm (b) 20 cm (c) 99 cm (d) 40 cm
  23. 23.Which of these numbers is divisible by 4? (a) 3346 (b) 3342 (c) 3339 (d) 3340
  24. 24.Two bells ring every 15 minutes and every 20 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 5 min (b) 35 min (c) 300 min (d) 60 min
  25. 25.Which of these numbers is divisible by 11? (a) 4048 (b) 4062 (c) 4047 (d) 4055
  26. 26.A rectangle has an area of 119 sq cm and a length of 17 cm. What is its width? (a) 7 cm (b) 14 cm (c) 102 cm (d) 8 cm
  27. 27.The simple interest on ₹1000 for 3 years is ₹120. What is the rate per year? (a) 4% (b) 3% (c) 5% (d) 12%
  28. 28.If 7x − 7 = 56, what is x? (a) 63 (b) 7 (c) 10 (d) 9
  29. 29.A shopkeeper buys a toy for ₹320 and sells it for ₹304. What is his loss percent? (a) 5% (b) 6% (c) 10% (d) 16%
  30. 30.Which fraction is greater: 2/9 or 1/11? (a) They are equal (b) 1/11 (c) 2/9
  31. 31.2/4 + 7/8 = ? (a) 3/4 (b) 3/2 (c) 5/4 (d) 11/8
  32. 32.₹56 is shared between two friends in the ratio 1 : 6. How much is the bigger share? (a) ₹8 (b) ₹56 (c) ₹28 (d) ₹48
  33. 33.If 26 March is a Tuesday, what day of the week is 15 April? (a) Tuesday (b) Sunday (c) Wednesday (d) Monday
  34. 34.What is 5/6 of 42? (a) 7 (b) 42 (c) 36 (d) 35
  35. 35.A shopkeeper buys a toy for ₹660 and sells it for ₹594. What is his loss percent? (a) 15% (b) 10% (c) 5% (d) 66%
  36. 36.2/3 + 3/7 = ? (a) 22/21 (b) 8/7 (c) 23/21 (d) 1/2
  37. 37.₹8000 is invested at 4% per year simple interest. What is the amount after 3 years? (a) ₹8960 (b) ₹9280 (c) ₹8320 (d) ₹960
  38. 38.Which of these numbers is divisible by 6? (a) 3730 (b) 3721 (c) 3715 (d) 3720
  39. 39.What is the remainder when 54 is divided by 5? (a) 4 (b) 2 (c) 3 (d) 1
  40. 40.Which of these numbers is divisible by 6? (a) 3235 (b) 3240 (c) 3245 (d) 3248

Answer key

  1. 5 cm
  2. 25/24
  3. 145
  4. 8
  5. 4/5
  6. 3%
  7. 9
  8. 10%
  9. 39/35
  10. 20 min
  11. ₹700
  12. 1
  13. 2
  14. 3%
  15. ₹88
  16. Monday
  17. 84
  18. 44/35
  19. 23
  20. 80
  21. 5%
  22. 40 cm
  23. 3340
  24. 60 min
  25. 4048
  26. 7 cm
  27. 4%
  28. 9
  29. 5%
  30. 2/9
  31. 11/8
  32. ₹48
  33. Monday
  34. 35
  35. 10%
  36. 23/21
  37. ₹8960
  38. 3720
  39. 4
  40. 3240

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