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Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 585 · 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. 1.5 workers can build a wall in 15 days. How many days will 3 workers take, working at the same speed? (a) 17 days (b) 9 days (c) 13 days (d) 25 days
  2. 2.What is the remainder when 217 is divided by 6? (a) 5 (b) 0 (c) 2 (d) 1
  3. 3.A rectangle has an area of 112 sq cm and a length of 14 cm. What is its width? (a) 9 cm (b) 16 cm (c) 8 cm (d) 98 cm
  4. 4.Two bells ring every 12 minutes and every 20 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 32 min (b) 240 min (c) 60 min (d) 4 min
  5. 5.Which fraction is greater: 5/8 or 1/3? (a) They are equal (b) 5/8 (c) 1/3
  6. 6.If 9 kites cost ₹54, how much do 10 kites cost? (a) ₹66 (b) ₹540 (c) ₹60 (d) ₹55
  7. 7.What is the smallest number you must add to 499 to make it divisible by 8? (a) 4 (b) 5 (c) 3 (d) 6
  8. 8.In how many years will ₹1500 earn ₹540 simple interest at 9% per year? (a) 8 years (b) 5 years (c) 3 years (d) 4 years
  9. 9.₹273 is shared between two friends in the ratio 1 : 6. How much is the bigger share? (a) ₹273 (b) ₹234 (c) ₹39 (d) ₹235
  10. 10.The simple interest on ₹4000 for 2 years is ₹800. What is the rate per year? (a) 10% (b) 20% (c) 9% (d) 11%
  11. 11.Which is the greatest: 0.3, 0.072, 0.31, 0.233? (a) 0.3 (b) 0.072 (c) 0.31 (d) 0.233
  12. 12.A teacher has 33 pencils and 88 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 55 (b) 11 (c) 33 (d) 1
  13. 13.The simple interest on ₹2000 for 5 years is ₹1200. What is the rate per year? (a) 60% (b) 11% (c) 13% (d) 12%
  14. 14.What is the units digit of 3^36? (a) 1 (b) 7 (c) 9 (d) 3
  15. 15.What is the value of the digit 5 in 35.167? (a) 0.05 (b) 5 (c) 50 (d) 0.5
  16. 16.What is the average of all the whole numbers from 9 to 47? (a) 28 (b) 29 (c) 38 (d) 19
  17. 17.6/7 + 4/5 = ? (a) 5/6 (b) 57/35 (c) 59/35 (d) 58/35
  18. 18.What is the average of all the whole numbers from 50 to 60? (a) 5 (b) 10 (c) 56 (d) 55
  19. 19.A rectangle has an area of 70 sq cm and a length of 14 cm. What is its width? (a) 6 cm (b) 5 cm (c) 56 cm (d) 10 cm
  20. 20.A rectangle is 8 cm long and 3 cm wide. What is its perimeter? (a) 22 cm (b) 19 cm (c) 11 cm (d) 24 cm
  21. 21.₹252 is shared between two friends in the ratio 4 : 5. How much is the bigger share? (a) ₹112 (b) ₹28 (c) ₹140 (d) ₹126
  22. 22.Every pair follows the same rule: 4 : 15, 7 : 48, 8 : 63. What is 6 : ? (a) 36 (b) 33 (c) 35 (d) 17
  23. 23.What is the average of 36, 30, 48, 47 and 59? (a) 44 (b) 43 (c) 55 (d) 45
  24. 24.A rectangle is 19 cm long and 7 cm wide. What is its area? (a) 52 sq cm (b) 152 sq cm (c) 133 sq cm (d) 26 sq cm
  25. 25.If 7x + 17 = 5x + 41, what is x? (a) 13 (b) 2 (c) 29 (d) 12
  26. 26.If 5x + 9 = 3x + 13, what is x? (a) 11 (b) 2 (c) 3 (d) 4
  27. 27.Which fraction is greater: 3/8 or 3/5? (a) 3/5 (b) 3/8 (c) They are equal
  28. 28.What is the smallest number of sweets that can be shared equally among 6 children or among 21 children, with none left over? (a) 27 (b) 42 (c) 84 (d) 126
  29. 29.What is 20% of 380? (a) 760 (b) 76 (c) 304 (d) 152
  30. 30.Every pair follows the same rule: 3 : 16, 5 : 32, 6 : 43. What is 9 : ? (a) 22 (b) 89 (c) 76 (d) 88
  31. 31.What is 15% of 260? (a) 221 (b) 39 (c) 390 (d) 78
  32. 32.9.61 + 2.8 = ? (a) 12.41 (b) 9.89 (c) 12.51 (d) 12.31
  33. 33.In how many years will ₹4500 earn ₹540 simple interest at 4% per year? (a) 3 years (b) 6 years (c) 4 years (d) 2 years
  34. 34.The simple interest on ₹9500 for 2 years is ₹1330. What is the rate per year? (a) 14% (b) 7% (c) 8% (d) 6%
  35. 35.If 7x + 9 = 86, what is x? (a) 12 (b) 10 (c) 77 (d) 11
  36. 36.Today is Tuesday. What day of the week will it be after 80 days? (a) Sunday (b) Saturday (c) Thursday (d) Friday
  37. 37.5.82 + 4.8 = ? (a) 10.52 (b) 10.62 (c) 6.3 (d) 10.72
  38. 38.Every pair follows the same rule: 4 : 22, 6 : 24, 7 : 25. What is 2 : ? (a) 20 (b) 22 (c) 21 (d) 19
  39. 39.Which is the smallest: 0.244, 0.3, 0.012, 0.39? (a) 0.244 (b) 0.3 (c) 0.012 (d) 0.39
  40. 40.If 9 notebooks cost ₹81, how much do 4 notebooks cost? (a) ₹45 (b) ₹36 (c) ₹76 (d) ₹324

Answer key

  1. 25 days
  2. 1
  3. 8 cm
  4. 60 min
  5. 5/8
  6. ₹60
  7. 5
  8. 4 years
  9. ₹234
  10. 10%
  11. 0.31
  12. 11
  13. 12%
  14. 1
  15. 5
  16. 28
  17. 58/35
  18. 55
  19. 5 cm
  20. 22 cm
  21. ₹140
  22. 35
  23. 44
  24. 133 sq cm
  25. 12
  26. 2
  27. 3/5
  28. 42
  29. 76
  30. 88
  31. 39
  32. 12.41
  33. 3 years
  34. 7%
  35. 11
  36. Friday
  37. 10.62
  38. 20
  39. 0.012
  40. ₹36

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