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Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 373 · 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. 1.7.29 + 8.6 = ? (a) 15.79 (b) 8.15 (c) 15.89 (d) 15.99
  2. 2.Two ribbons are 16 cm and 20 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 16 cm (b) 80 cm (c) 2 cm (d) 4 cm
  3. 3.6/8 + 1/3 = ? (a) 13/12 (b) 25/24 (c) 9/8 (d) 7/11
  4. 4.If 5x + 18 = 83, what is x? (a) 12 (b) 13 (c) 14 (d) 65
  5. 5.What is the average of all the whole numbers from 38 to 48? (a) 43 (b) 5 (c) 44 (d) 10
  6. 6.If 3x + 6 = x + 16, what is x? (a) 5 (b) 11 (c) 6 (d) 7
  7. 7.7 workers can build a wall in 6 days. How many days will 2 workers take, working at the same speed? (a) 11 days (b) 1 day (c) 22 days (d) 21 days
  8. 8.A shopkeeper buys a toy for ₹960 and sells it for ₹1200. What is his profit percent? (a) 30% (b) 25% (c) 20% (d) 26%
  9. 9.7 workers can build a wall in 14 days. How many days will 2 workers take, working at the same speed? (a) 9 days (b) 19 days (c) 4 days (d) 49 days
  10. 10.What is the units digit of 4^43? (a) 3 (b) 4 (c) 5 (d) 6
  11. 11.A rectangle has an area of 133 sq cm and a length of 19 cm. What is its width? (a) 14 cm (b) 114 cm (c) 8 cm (d) 7 cm
  12. 12.What is the remainder when 427 is divided by 8? (a) 2 (b) 3 (c) 4 (d) 5
  13. 13.If 14 July is a Tuesday, what day of the week is 23 July? (a) Wednesday (b) Friday (c) Thursday (d) Saturday
  14. 14.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
  15. 15.What is the average of all the whole numbers from 36 to 60? (a) 12 (b) 48 (c) 24 (d) 49
  16. 16.If 14 January is a Saturday, what day of the week is 29 January? (a) Tuesday (b) Monday (c) Sunday (d) Saturday
  17. 17.A shopkeeper buys a toy for ₹100 and sells it for ₹80. What is his loss percent? (a) 20% (b) 21% (c) 25% (d) 15%
  18. 18.Which fraction is greater: 4/5 or 8/9? (a) They are equal (b) 4/5 (c) 8/9
  19. 19.Which fraction is greater: 3/10 or 1/3? (a) They are equal (b) 1/3 (c) 3/10
  20. 20.What is 3/4 of 8? (a) 8 (b) 7 (c) 6 (d) 2
  21. 21.A rectangle is 16 cm long and 3 cm wide. What is its area? (a) 64 sq cm (b) 19 sq cm (c) 38 sq cm (d) 48 sq cm
  22. 22.A teacher has 27 pencils and 63 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 36 (b) 3 (c) 9 (d) 27
  23. 23.What is the units digit of 4^56? (a) 6 (b) 7 (c) 5 (d) 4
  24. 24.What is the average of all the whole numbers from 14 to 32? (a) 24 (b) 9 (c) 23 (d) 18
  25. 25.A bag marked ₹320 is sold at a 25% discount. What is its selling price? (a) ₹80 (b) ₹295 (c) ₹400 (d) ₹240
  26. 26.What is 10% of 1000? (a) 1000 (b) 900 (c) 100 (d) 200
  27. 27.The simple interest on ₹4000 for 4 years is ₹1120. What is the rate per year? (a) 8% (b) 28% (c) 6% (d) 7%
  28. 28.What is 20% of 320? (a) 640 (b) 256 (c) 128 (d) 64
  29. 29.What is the smallest number of sweets that can be shared equally among 4 children or among 6 children, with none left over? (a) 12 (b) 10 (c) 13 (d) 24
  30. 30.8.71 + 9.8 = ? (a) 18.51 (b) 18.61 (c) 9.69 (d) 18.41
  31. 31.What is the simple interest on ₹8000 at 2% per year for 3 years? (a) ₹640 (b) ₹8480 (c) ₹480 (d) ₹160
  32. 32.₹5500 is invested at 9% per year simple interest. What is the amount after 2 years? (a) ₹5995 (b) ₹6985 (c) ₹990 (d) ₹6490
  33. 33.₹182 is shared between two friends in the ratio 5 : 8. How much is the bigger share? (a) ₹70 (b) ₹112 (c) ₹14 (d) ₹91
  34. 34.2/4 + 1/3 = ? (a) 3/7 (b) 5/6 (c) 11/12 (d) 3/4
  35. 35.A teacher has 8 pencils and 10 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 40 (b) 2 (c) 1 (d) 8
  36. 36.A batter has an average of 25 runs in 4 matches. How many runs are needed in the next match to raise the average to 27? (a) 10 (b) 35 (c) 27 (d) 29
  37. 37.2/3 + 1/2 = ? (a) 4/3 (b) 3/5 (c) 1 (d) 7/6
  38. 38.Which is the smallest: 0.013, 0.399, 0.4, 0.48? (a) 0.013 (b) 0.399 (c) 0.4 (d) 0.48
  39. 39.If x/4 + 4 = 7, what is x? (a) 24 (b) 44 (c) 3 (d) 12
  40. 40.Which fraction is greater: 4/7 or 1/3? (a) 4/7 (b) 1/3 (c) They are equal

Answer key

  1. 15.89
  2. 4 cm
  3. 13/12
  4. 13
  5. 43
  6. 5
  7. 21 days
  8. 25%
  9. 49 days
  10. 4
  11. 7 cm
  12. 3
  13. Thursday
  14. 72 min
  15. 48
  16. Sunday
  17. 20%
  18. 8/9
  19. 1/3
  20. 6
  21. 48 sq cm
  22. 9
  23. 6
  24. 23
  25. ₹240
  26. 100
  27. 7%
  28. 64
  29. 12
  30. 18.51
  31. ₹480
  32. ₹6490
  33. ₹112
  34. 5/6
  35. 2
  36. 35
  37. 7/6
  38. 0.013
  39. 12
  40. 4/7

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