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Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 790 · 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 shopkeeper buys a toy for ₹560 and sells it for ₹336. What is his loss percent? (a) 40% (b) 41% (c) 35% (d) 45%
  2. 2.The simple interest on ₹3500 for 4 years is ₹700. What is the rate per year? (a) 5% (b) 20% (c) 4% (d) 6%
  3. 3.4.79 + 3.3 = ? (a) 7.99 (b) 8.09 (c) 5.12 (d) 8.19
  4. 4.The average of 7 numbers is 24. When one number is taken away, the average of the rest is 22. Which number was taken away? (a) 24 (b) 36 (c) 46 (d) 14
  5. 5.What is the smallest number of sweets that can be shared equally among 4 children or among 14 children, with none left over? (a) 18 (b) 29 (c) 56 (d) 28
  6. 6.What is the average of all the whole numbers from 16 to 30? (a) 24 (b) 7 (c) 23 (d) 14
  7. 7.If 27 September is a Saturday, what day of the week is 5 October? (a) Tuesday (b) Monday (c) Saturday (d) Sunday
  8. 8.What is the average of 33, 39, 10 and 14? (a) 32 (b) 23 (c) 25 (d) 24
  9. 9.A shopkeeper buys a toy for ₹680 and sells it for ₹714. What is his profit percent? (a) 10% (b) 6% (c) 34% (d) 5%
  10. 10.Every pair follows the same rule: 2 : 10, 3 : 15, 7 : 35. What is 4 : ? (a) 12 (b) 19 (c) 21 (d) 20
  11. 11.If 7x + 4 = 4x + 34, what is x? (a) 11 (b) 9 (c) 12 (d) 10
  12. 12.Every pair follows the same rule: 5 : 9, 7 : 13, 9 : 17. What is 2 : ? (a) 6 (b) 4 (c) 3 (d) 2
  13. 13.If 5 notebooks cost ₹80, how much do 11 notebooks cost? (a) ₹192 (b) ₹176 (c) ₹86 (d) ₹880
  14. 14.If 6 mangoes cost ₹36, how much do 5 mangoes cost? (a) ₹30 (b) ₹36 (c) ₹180 (d) ₹35
  15. 15.Which is the smallest: 0.148, 0.082, 0.26, 0.2? (a) 0.148 (b) 0.082 (c) 0.26 (d) 0.2
  16. 16.Two bells ring every 12 minutes and every 15 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 180 min (b) 27 min (c) 60 min (d) 3 min
  17. 17.A rectangle has an area of 99 sq cm and a length of 11 cm. What is its width? (a) 10 cm (b) 18 cm (c) 9 cm (d) 88 cm
  18. 18.What is the value of the digit 1 in 13.942? (a) 1 (b) 0.01 (c) 10 (d) 0.1
  19. 19.A shopkeeper buys a toy for ₹260 and sells it for ₹364. What is his profit percent? (a) 40% (b) 35% (c) 41% (d) 45%
  20. 20.8 workers can build a wall in 11 days. How many days will 11 workers take, working at the same speed? (a) 9 days (b) 14 days (c) 8 days (d) 7 days
  21. 21.6.07 + 4.1 = ? (a) 6.48 (b) 10.17 (c) 10.27 (d) 10.07
  22. 22.The simple interest on ₹6000 for 2 years is ₹1200. What is the rate per year? (a) 11% (b) 9% (c) 10% (d) 20%
  23. 23.If 6x + 6 = 66, what is x? (a) 11 (b) 10 (c) 60 (d) 12
  24. 24.Which fraction is greater: 2/9 or 1/3? (a) They are equal (b) 2/9 (c) 1/3
  25. 25.What is 50% of 120? (a) 120 (b) 600 (c) 61 (d) 60
  26. 26.In how many years will ₹2500 earn ₹500 simple interest at 4% per year? (a) 4 years (b) 10 years (c) 5 years (d) 6 years
  27. 27.If 5 July is a Thursday, what day of the week is 21 July? (a) Friday (b) Saturday (c) Sunday (d) Monday
  28. 28.What is 3/5 of 15? (a) 12 (b) 6 (c) 3 (d) 9
  29. 29.Every pair follows the same rule: 2 : 12, 4 : 20, 7 : 32. What is 9 : ? (a) 41 (b) 40 (c) 54 (d) 19
  30. 30.What is 1/8 of 72? (a) 63 (b) 18 (c) 9 (d) 10
  31. 31.If 12 August is a Thursday, what day of the week is 21 August? (a) Sunday (b) Saturday (c) Friday (d) Monday
  32. 32.A teacher has 21 pencils and 28 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 21 (b) 84 (c) 1 (d) 7
  33. 33.Two ribbons are 35 cm and 63 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 35 cm (b) 1 cm (c) 7 cm (d) 28 cm
  34. 34.7.08 + 2.8 = ? (a) 7.36 (b) 9.88 (c) 9.78 (d) 9.98
  35. 35.A rectangle is 16 cm long and 12 cm wide. What is its perimeter? (a) 28 cm (b) 56 cm (c) 192 cm (d) 44 cm
  36. 36.What is the smallest number you must add to 421 to make it divisible by 12? (a) 10 (b) 9 (c) 1 (d) 11
  37. 37.What is the value of the digit 5 in 87.354? (a) 0.005 (b) 0.5 (c) 0.05 (d) 5
  38. 38.If 18 May is a Tuesday, what day of the week is 2 June? (a) Wednesday (b) Thursday (c) Tuesday (d) Friday
  39. 39.A shopkeeper buys a toy for ₹560 and sells it for ₹476. What is his loss percent? (a) 84% (b) 10% (c) 20% (d) 15%
  40. 40.₹110 is shared between two friends in the ratio 4 : 7. How much is the bigger share? (a) ₹10 (b) ₹40 (c) ₹55 (d) ₹70

Answer key

  1. 40%
  2. 5%
  3. 8.09
  4. 36
  5. 28
  6. 23
  7. Sunday
  8. 24
  9. 5%
  10. 20
  11. 10
  12. 3
  13. ₹176
  14. ₹30
  15. 0.082
  16. 60 min
  17. 9 cm
  18. 10
  19. 40%
  20. 8 days
  21. 10.17
  22. 10%
  23. 10
  24. 1/3
  25. 60
  26. 5 years
  27. Saturday
  28. 9
  29. 40
  30. 9
  31. Saturday
  32. 7
  33. 7 cm
  34. 9.88
  35. 56 cm
  36. 11
  37. 0.05
  38. Wednesday
  39. 15%
  40. ₹70

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