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Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 394 · 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.Which fraction is greater: 1/3 or 1/12? (a) 1/3 (b) They are equal (c) 1/12
  2. 2.Two bells ring every 24 minutes and every 30 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 720 min (b) 54 min (c) 6 min (d) 120 min
  3. 3.A rectangle is 19 cm long and 3 cm wide. What is its area? (a) 57 sq cm (b) 76 sq cm (c) 22 sq cm (d) 44 sq cm
  4. 4.What is the smallest number of sweets that can be shared equally among 12 children or among 28 children, with none left over? (a) 84 (b) 40 (c) 168 (d) 336
  5. 5.A rectangle is 7 cm long and 4 cm wide. What is its perimeter? (a) 11 cm (b) 18 cm (c) 28 cm (d) 22 cm
  6. 6.What is 1/2 of 12? (a) 5 (b) 12 (c) 6 (d) 7
  7. 7.A teacher has 40 pencils and 48 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 40 (b) 8 (c) 240 (d) 4
  8. 8.Which is the smallest: 0.347, 0.064, 0.46, 0.4? (a) 0.347 (b) 0.064 (c) 0.46 (d) 0.4
  9. 9.A rectangle is 12 cm long and 5 cm wide. What is its perimeter? (a) 17 cm (b) 60 cm (c) 29 cm (d) 34 cm
  10. 10.Every pair follows the same rule: 5 : 22, 6 : 33, 8 : 61. What is 9 : ? (a) 75 (b) 79 (c) 78 (d) 26
  11. 11.If 1 March is a Wednesday, what day of the week is 15 March? (a) Wednesday (b) Tuesday (c) Thursday (d) Friday
  12. 12.A shopkeeper buys a toy for ₹500 and sells it for ₹625. What is his profit percent? (a) 30% (b) 25% (c) 20% (d) 26%
  13. 13.What is the average of 26, 30, 41 and 63? (a) 39 (b) 40 (c) 42 (d) 41
  14. 14.A square has a perimeter of 32 cm. What is its area? (a) 16 sq cm (b) 64 sq cm (c) 81 sq cm (d) 32 sq cm
  15. 15.A square has a perimeter of 20 cm. What is its area? (a) 36 sq cm (b) 10 sq cm (c) 20 sq cm (d) 25 sq cm
  16. 16.If 9 pens cost ₹171, how much do 5 pens cost? (a) ₹95 (b) ₹114 (c) ₹855 (d) ₹167
  17. 17.What is the value of the digit 2 in 42.378? (a) 0.2 (b) 0.02 (c) 2 (d) 20
  18. 18.What is the average of 61, 45, 56, 46 and 82? (a) 60 (b) 57 (c) 58 (d) 59
  19. 19.7.18 + 9.1 = ? (a) 16.38 (b) 16.18 (c) 16.28 (d) 8.09
  20. 20.What is the value of the digit 9 in 82.193? (a) 0.09 (b) 9 (c) 0.009 (d) 0.9
  21. 21.A rectangle is 6 cm long and 2 cm wide. What is its perimeter? (a) 12 cm (b) 16 cm (c) 14 cm (d) 8 cm
  22. 22.Every pair follows the same rule: 2 : 16, 5 : 19, 9 : 23. What is 7 : ? (a) 20 (b) 56 (c) 21 (d) 22
  23. 23.A shopkeeper buys a toy for ₹680 and sells it for ₹544. What is his loss percent? (a) 15% (b) 25% (c) 21% (d) 20%
  24. 24.What is 75% of 480? (a) 3600 (b) 360 (c) 120 (d) 720
  25. 25.1/2 + 2/5 = ? (a) 3/7 (b) 9/10 (c) 4/5 (d) 1
  26. 26.5 workers can build a wall in 11 days. How many days will 11 workers take, working at the same speed? (a) 17 days (b) 4 days (c) 6 days (d) 5 days
  27. 27.If 5x + 17 = x + 65, what is x? (a) 14 (b) 13 (c) 8 (d) 12
  28. 28.A rectangle is 10 cm long and 8 cm wide. What is its perimeter? (a) 18 cm (b) 36 cm (c) 80 cm (d) 28 cm
  29. 29.What is the units digit of 2^33? (a) 8 (b) 4 (c) 2 (d) 6
  30. 30.If 8 March is a Wednesday, what day of the week is 18 March? (a) Saturday (b) Sunday (c) Friday (d) Monday
  31. 31.1/3 + 3/8 = ? (a) 2/3 (b) 4/11 (c) 17/24 (d) 3/4
  32. 32.Which of these numbers is divisible by 4? (a) 384 (b) 383 (c) 390 (d) 387
  33. 33.What is the smallest number you must add to 140 to make it divisible by 3? (a) 1 (b) 2
  34. 34.₹6000 is invested at 11% per year simple interest. What is the amount after 4 years? (a) ₹9300 (b) ₹2640 (c) ₹8640 (d) ₹6660
  35. 35.Which fraction is greater: 5/6 or 2/11? (a) 5/6 (b) They are equal (c) 2/11
  36. 36.4/5 + 1/5 = ? (a) 4/5 (b) 1 (c) 6/5 (d) 1/2
  37. 37.What is the smallest number you must add to 493 to make it divisible by 12? (a) 10 (b) 11 (c) 9 (d) 1
  38. 38.A batter has an average of 45 runs in 8 matches. How many runs are needed in the next match to raise the average to 48? (a) 48 (b) 27 (c) 51 (d) 72
  39. 39.Two ribbons are 66 cm and 77 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 462 cm (b) 1 cm (c) 66 cm (d) 11 cm
  40. 40.What is the simple interest on ₹5500 at 12% per year for 2 years? (a) ₹6820 (b) ₹1320 (c) ₹1980 (d) ₹660

Answer key

  1. 1/3
  2. 120 min
  3. 57 sq cm
  4. 84
  5. 22 cm
  6. 6
  7. 8
  8. 0.064
  9. 34 cm
  10. 78
  11. Wednesday
  12. 25%
  13. 40
  14. 64 sq cm
  15. 25 sq cm
  16. ₹95
  17. 2
  18. 58
  19. 16.28
  20. 0.09
  21. 16 cm
  22. 21
  23. 20%
  24. 360
  25. 9/10
  26. 5 days
  27. 12
  28. 36 cm
  29. 2
  30. Saturday
  31. 17/24
  32. 384
  33. 1
  34. ₹8640
  35. 5/6
  36. 1
  37. 11
  38. 72
  39. 11 cm
  40. ₹1320

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