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Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 886 · 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.If x/5 + 6 = 9, what is x? (a) 15 (b) 3 (c) 39 (d) 75
  2. 2.If x/3 + 5 = 15, what is x? (a) 10 (b) 60 (c) 30 (d) 40
  3. 3.If 3x + 22 = 58, what is x? (a) 36 (b) 13 (c) 11 (d) 12
  4. 4.What is the simple interest on ₹2000 at 10% per year for 2 years? (a) ₹200 (b) ₹2400 (c) ₹400 (d) ₹600
  5. 5.If 22 May is a Monday, what day of the week is 13 June? (a) Wednesday (b) Tuesday (c) Thursday (d) Monday
  6. 6.What is the smallest number you must add to 344 to make it divisible by 6? (a) 5 (b) 2 (c) 3 (d) 4
  7. 7.Which fraction is greater: 1/5 or 4/9? (a) 1/5 (b) 4/9 (c) They are equal
  8. 8.Which fraction is greater: 7/9 or 1/6? (a) 1/6 (b) They are equal (c) 7/9
  9. 9.₹245 is shared between two friends in the ratio 2 : 5. How much is the bigger share? (a) ₹35 (b) ₹210 (c) ₹70 (d) ₹175
  10. 10.If 18 August is a Thursday, what day of the week is 4 September? (a) Monday (b) Saturday (c) Tuesday (d) Sunday
  11. 11.Which fraction is greater: 8/9 or 8/11? (a) 8/9 (b) 8/11 (c) They are equal
  12. 12.If 4x + 29 = 57, what is x? (a) 28 (b) 8 (c) 6 (d) 7
  13. 13.A shopkeeper buys a toy for ₹220 and sells it for ₹275. What is his profit percent? (a) 55% (b) 30% (c) 25% (d) 20%
  14. 14.A square has a perimeter of 44 cm. What is its area? (a) 121 sq cm (b) 22 sq cm (c) 144 sq cm (d) 44 sq cm
  15. 15.A rectangle is 6 cm long and 5 cm wide. What is its area? (a) 36 sq cm (b) 22 sq cm (c) 30 sq cm (d) 11 sq cm
  16. 16.Every pair follows the same rule: 3 : 14, 5 : 16, 8 : 19. What is 7 : ? (a) 19 (b) 20 (c) 17 (d) 18
  17. 17.What is the simple interest on ₹1000 at 5% per year for 4 years? (a) ₹1200 (b) ₹50 (c) ₹250 (d) ₹200
  18. 18.A bag marked ₹880 is sold at a 15% discount. What is its selling price? (a) ₹865 (b) ₹1012 (c) ₹748 (d) ₹132
  19. 19.If 5x + 27 = 62, what is x? (a) 6 (b) 8 (c) 35 (d) 7
  20. 20.What is the remainder when 191 is divided by 12? (a) 9 (b) 11 (c) 10 (d) 1
  21. 21.If 8 notebooks cost ₹160, how much do 3 notebooks cost? (a) ₹155 (b) ₹60 (c) ₹80 (d) ₹480
  22. 22.A batter has an average of 42 runs in 9 matches. How many runs are needed in the next match to raise the average to 44? (a) 44 (b) 20 (c) 46 (d) 62
  23. 23.If 3x + 20 = 2x + 27, what is x? (a) 8 (b) 47 (c) 7 (d) 9
  24. 24.A rectangle is 19 cm long and 11 cm wide. What is its area? (a) 60 sq cm (b) 30 sq cm (c) 228 sq cm (d) 209 sq cm
  25. 25.Which is the greatest: 0.094, 0.37, 0.3, 0.287? (a) 0.094 (b) 0.37 (c) 0.3 (d) 0.287
  26. 26.Two bells ring every 18 minutes and every 21 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 126 min (b) 39 min (c) 3 min (d) 378 min
  27. 27.9 workers can build a wall in 15 days. How many days will 5 workers take, working at the same speed? (a) 11 days (b) 19 days (c) 28 days (d) 27 days
  28. 28.Two ribbons are 9 cm and 12 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 9 cm (b) 1 cm (c) 3 cm (d) 36 cm
  29. 29.What is 1/3 of 12? (a) 4 (b) 3 (c) 5 (d) 8
  30. 30.What is the remainder when 571 is divided by 8? (a) 4 (b) 5 (c) 2 (d) 3
  31. 31.Which fraction is greater: 4/7 or 1/5? (a) 4/7 (b) 1/5 (c) They are equal
  32. 32.2.25 + 6.3 = ? (a) 8.55 (b) 8.45 (c) 8.65 (d) 2.88
  33. 33.Every pair follows the same rule: 3 : 9, 6 : 18, 8 : 24. What is 4 : ? (a) 12 (b) 11 (c) 13 (d) 10
  34. 34.Every pair follows the same rule: 2 : 4, 6 : 36, 7 : 49. What is 5 : ? (a) 7 (b) 25 (c) 23 (d) 10
  35. 35.If 15 November is a Thursday, what day of the week is 12 December? (a) Friday (b) Tuesday (c) Thursday (d) Wednesday
  36. 36.1.74 + 9.3 = ? (a) 2.67 (b) 10.94 (c) 11.04 (d) 11.14
  37. 37.What is the average of all the whole numbers from 32 to 48? (a) 41 (b) 40 (c) 8 (d) 16
  38. 38.A bag marked ₹540 is sold at a 50% discount. What is its selling price? (a) ₹490 (b) ₹810 (c) ₹270 (d) ₹271
  39. 39.Every pair follows the same rule: 4 : 12, 5 : 13, 9 : 17. What is 8 : ? (a) 17 (b) 24 (c) 16 (d) 15
  40. 40.A rectangle has an area of 220 sq cm and a length of 20 cm. What is its width? (a) 12 cm (b) 200 cm (c) 22 cm (d) 11 cm

Answer key

  1. 15
  2. 30
  3. 12
  4. ₹400
  5. Tuesday
  6. 4
  7. 4/9
  8. 7/9
  9. ₹175
  10. Sunday
  11. 8/9
  12. 7
  13. 25%
  14. 121 sq cm
  15. 30 sq cm
  16. 18
  17. ₹200
  18. ₹748
  19. 7
  20. 11
  21. ₹60
  22. 62
  23. 7
  24. 209 sq cm
  25. 0.37
  26. 126 min
  27. 27 days
  28. 3 cm
  29. 4
  30. 3
  31. 4/7
  32. 8.55
  33. 12
  34. 25
  35. Wednesday
  36. 11.04
  37. 40
  38. ₹270
  39. 16
  40. 11 cm

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