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Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 187 · 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 84 pencils and 108 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 12 (b) 84 (c) 6 (d) 24
  2. 2.Which fraction is greater: 2/11 or 3/10? (a) 2/11 (b) They are equal (c) 3/10
  3. 3.Which fraction is greater: 3/5 or 3/8? (a) 3/5 (b) 3/8 (c) They are equal
  4. 4.A shopkeeper buys a toy for ₹940 and sells it for ₹705. What is his loss percent? (a) 30% (b) 25% (c) 20% (d) 26%
  5. 5.If 9x + 15 = 42, what is x? (a) 2 (b) 27 (c) 4 (d) 3
  6. 6.1/2 + 2/4 = ? (a) 1/2 (b) 5/4 (c) 3/4 (d) 1
  7. 7.Which fraction is greater: 5/6 or 1/3? (a) 1/3 (b) 5/6 (c) They are equal
  8. 8.Every pair follows the same rule: 2 : 9, 4 : 11, 6 : 13. What is 3 : ? (a) 11 (b) 9 (c) 10 (d) 12
  9. 9.If 13 July is a Saturday, what day of the week is 24 July? (a) Wednesday (b) Friday (c) Tuesday (d) Thursday
  10. 10.Two bells ring every 10 minutes and every 35 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 350 min (b) 45 min (c) 70 min (d) 5 min
  11. 11.Two ribbons are 18 cm and 24 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 72 cm (b) 6 cm (c) 3 cm (d) 18 cm
  12. 12.₹7000 is invested at 10% per year simple interest. What is the amount after 2 years? (a) ₹8400 (b) ₹7700 (c) ₹1400 (d) ₹9100
  13. 13.Which is the smallest: 0.47, 0.4, 0.041, 0.386? (a) 0.47 (b) 0.4 (c) 0.041 (d) 0.386
  14. 14.In how many years will ₹2500 earn ₹350 simple interest at 7% per year? (a) 4 years (b) 2 years (c) 1 year (d) 3 years
  15. 15.A rectangle is 6 cm long and 4 cm wide. What is its perimeter? (a) 10 cm (b) 16 cm (c) 20 cm (d) 24 cm
  16. 16.A shopkeeper buys a toy for ₹1000 and sells it for ₹1050. What is his profit percent? (a) 5% (b) 50% (c) 10% (d) 6%
  17. 17.Every pair follows the same rule: 1 : 1, 3 : 27, 6 : 216. What is 2 : ? (a) 2 (b) 8 (c) 9 (d) 7
  18. 18.A teacher has 32 pencils and 72 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 4 (b) 40 (c) 32 (d) 8
  19. 19.3/9 + 3/4 = ? (a) 13/12 (b) 6/13 (c) 19/18 (d) 10/9
  20. 20.Which fraction is greater: 5/12 or 2/7? (a) They are equal (b) 2/7 (c) 5/12
  21. 21.What is 1/2 of 12? (a) 12 (b) 7 (c) 5 (d) 6
  22. 22.1.06 + 5.6 = ? (a) 6.66 (b) 1.62 (c) 6.76 (d) 6.56
  23. 23.If 14 January is a Tuesday, what day of the week is 24 January? (a) Sunday (b) Thursday (c) Friday (d) Saturday
  24. 24.What is 1/3 of 18? (a) 12 (b) 5 (c) 6 (d) 7
  25. 25.A teacher has 15 pencils and 24 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 3 (b) 9 (c) 1 (d) 15
  26. 26.What is the remainder when 609 is divided by 11? (a) 7 (b) 5 (c) 3 (d) 4
  27. 27.Every pair follows the same rule: 4 : 22, 8 : 26, 9 : 27. What is 6 : ? (a) 23 (b) 25 (c) 24 (d) 26
  28. 28.A bag marked ₹1860 is sold at a 20% discount. What is its selling price? (a) ₹1488 (b) ₹2232 (c) ₹1840 (d) ₹372
  29. 29.Which fraction is greater: 1/7 or 5/8? (a) 5/8 (b) They are equal (c) 1/7
  30. 30.If 11 November is a Thursday, what day of the week is 13 December? (a) Tuesday (b) Sunday (c) Monday (d) Wednesday
  31. 31.In how many years will ₹3000 earn ₹720 simple interest at 8% per year? (a) 6 years (b) 4 years (c) 2 years (d) 3 years
  32. 32.Which is the greatest: 0.014, 0.339, 0.4, 0.45? (a) 0.014 (b) 0.339 (c) 0.4 (d) 0.45
  33. 33.What is the smallest number you must add to 215 to make it divisible by 7? (a) 3 (b) 1 (c) 5 (d) 2
  34. 34.Which is the smallest: 0.034, 0.7, 0.644, 0.71? (a) 0.034 (b) 0.7 (c) 0.644 (d) 0.71
  35. 35.What is the value of the digit 1 in 98.124? (a) 0.01 (b) 0.1 (c) 1 (d) 0.001
  36. 36.7.75 + 5.8 = ? (a) 13.55 (b) 8.33 (c) 13.65 (d) 13.45
  37. 37.Two ribbons are 6 cm and 9 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 3 cm (b) 18 cm (c) 1 cm (d) 6 cm
  38. 38.Every pair follows the same rule: 1 : 1, 2 : 8, 6 : 216. What is 4 : ? (a) 4 (b) 64 (c) 65 (d) 112
  39. 39.2.82 + 4.6 = ? (a) 3.28 (b) 7.42 (c) 7.52 (d) 7.32
  40. 40.In how many years will ₹10000 earn ₹4800 simple interest at 12% per year? (a) 8 years (b) 5 years (c) 3 years (d) 4 years

Answer key

  1. 12
  2. 3/10
  3. 3/5
  4. 25%
  5. 3
  6. 1
  7. 5/6
  8. 10
  9. Wednesday
  10. 70 min
  11. 6 cm
  12. ₹8400
  13. 0.041
  14. 2 years
  15. 20 cm
  16. 5%
  17. 8
  18. 8
  19. 13/12
  20. 5/12
  21. 6
  22. 6.66
  23. Friday
  24. 6
  25. 3
  26. 4
  27. 24
  28. ₹1488
  29. 5/8
  30. Monday
  31. 3 years
  32. 0.45
  33. 2
  34. 0.034
  35. 0.1
  36. 13.55
  37. 3 cm
  38. 64
  39. 7.42
  40. 4 years

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