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Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 874 · 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. 1.4.12 + 7.1 = ? (a) 4.83 (b) 11.12 (c) 11.32 (d) 11.22
  2. 2.Two bells ring every 9 minutes and every 12 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 3 min (b) 108 min (c) 36 min (d) 21 min
  3. 3.If 8x + 5 = 2x + 23, what is x? (a) 2 (b) 4 (c) 3 (d) 5
  4. 4.A rectangle is 10 cm long and 5 cm wide. What is its area? (a) 50 sq cm (b) 60 sq cm (c) 30 sq cm (d) 15 sq cm
  5. 5.What is the smallest number of sweets that can be shared equally among 15 children or among 25 children, with none left over? (a) 375 (b) 40 (c) 75 (d) 150
  6. 6.What is the simple interest on ₹2000 at 11% per year for 3 years? (a) ₹220 (b) ₹660 (c) ₹880 (d) ₹2660
  7. 7.What is 1/2 of 14? (a) 6 (b) 14 (c) 7 (d) 8
  8. 8.Two bells ring every 18 minutes and every 42 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 126 min (b) 60 min (c) 756 min (d) 6 min
  9. 9.If 2x − 19 = 3, what is x? (a) 11 (b) 10 (c) 12 (d) 22
  10. 10.What is the average of all the whole numbers from 23 to 31? (a) 4 (b) 27 (c) 8 (d) 28
  11. 11.The simple interest on ₹3500 for 5 years is ₹1750. What is the rate per year? (a) 9% (b) 50% (c) 10% (d) 11%
  12. 12.Two ribbons are 18 cm and 21 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 1 cm (b) 126 cm (c) 3 cm (d) 18 cm
  13. 13.A shopkeeper buys a toy for ₹200 and sells it for ₹250. What is his profit percent? (a) 30% (b) 50% (c) 25% (d) 20%
  14. 14.What is the smallest number you must add to 297 to make it divisible by 12? (a) 2 (b) 9 (c) 3 (d) 4
  15. 15.Every pair follows the same rule: 2 : 2, 5 : 8, 8 : 14. What is 7 : ? (a) 13 (b) 7 (c) 11 (d) 12
  16. 16.9.35 + 2.5 = ? (a) 9.6 (b) 11.75 (c) 11.85 (d) 11.95
  17. 17.8/9 + 3/9 = ? (a) 10/9 (b) 11/9 (c) 4/3 (d) 11/18
  18. 18.A rectangle is 18 cm long and 12 cm wide. What is its area? (a) 216 sq cm (b) 234 sq cm (c) 60 sq cm (d) 30 sq cm
  19. 19.What is the simple interest on ₹6500 at 4% per year for 3 years? (a) ₹1040 (b) ₹780 (c) ₹260 (d) ₹7280
  20. 20.4.76 + 1.9 = ? (a) 6.56 (b) 6.66 (c) 6.76 (d) 4.95
  21. 21.A bag marked ₹540 is sold at a 50% discount. What is its selling price? (a) ₹270 (b) ₹490 (c) ₹271 (d) ₹810
  22. 22.A bag marked ₹940 is sold at a 15% discount. What is its selling price? (a) ₹799 (b) ₹1081 (c) ₹925 (d) ₹141
  23. 23.Two bells ring every 15 minutes and every 35 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 525 min (b) 50 min (c) 105 min (d) 5 min
  24. 24.4.98 + 2.1 = ? (a) 5.19 (b) 6.98 (c) 7.08 (d) 7.18
  25. 25.A batter has an average of 58 runs in 9 matches. How many runs are needed in the next match to raise the average to 60? (a) 62 (b) 60 (c) 20 (d) 78
  26. 26.₹473 is shared between two friends in the ratio 5 : 6. How much is the bigger share? (a) ₹43 (b) ₹258 (c) ₹215 (d) ₹301
  27. 27.What is 25% of 320? (a) 160 (b) 80 (c) 800 (d) 240
  28. 28.Two bells ring every 8 minutes and every 14 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 56 min (b) 2 min (c) 112 min (d) 22 min
  29. 29.3.25 + 8.7 = ? (a) 4.12 (b) 12.05 (c) 11.95 (d) 11.85
  30. 30.A rectangle has an area of 90 sq cm and a length of 15 cm. What is its width? (a) 7 cm (b) 6 cm (c) 12 cm (d) 75 cm
  31. 31.4.92 + 8.3 = ? (a) 13.12 (b) 5.75 (c) 13.22 (d) 13.32
  32. 32.7.84 + 2.9 = ? (a) 8.13 (b) 10.74 (c) 10.64 (d) 10.84
  33. 33.If 5x + 21 = 96, what is x? (a) 15 (b) 14 (c) 75 (d) 16
  34. 34.If 9x + 3 = 5x + 31, what is x? (a) 7 (b) 9 (c) 2 (d) 8
  35. 35.3 workers can build a wall in 5 days. How many days will 5 workers take, working at the same speed? (a) 2 days (b) 4 days (c) 3 days (d) 7 days
  36. 36.Every pair follows the same rule: 3 : 18, 4 : 22, 7 : 34. What is 2 : ? (a) 17 (b) 12 (c) 14 (d) 15
  37. 37.What is the smallest number you must add to 191 to make it divisible by 7? (a) 6 (b) 5 (c) 4 (d) 2
  38. 38.A shopkeeper buys a toy for ₹640 and sells it for ₹704. What is his profit percent? (a) 5% (b) 10% (c) 15% (d) 64%
  39. 39.If x/4 + 14 = 17, what is x? (a) 54 (b) 12 (c) 124 (d) 3
  40. 40.A rectangle is 16 cm long and 3 cm wide. What is its area? (a) 19 sq cm (b) 38 sq cm (c) 48 sq cm (d) 64 sq cm

Answer key

  1. 11.22
  2. 36 min
  3. 3
  4. 50 sq cm
  5. 75
  6. ₹660
  7. 7
  8. 126 min
  9. 11
  10. 27
  11. 10%
  12. 3 cm
  13. 25%
  14. 3
  15. 12
  16. 11.85
  17. 11/9
  18. 216 sq cm
  19. ₹780
  20. 6.66
  21. ₹270
  22. ₹799
  23. 105 min
  24. 7.08
  25. 78
  26. ₹258
  27. 80
  28. 56 min
  29. 11.95
  30. 6 cm
  31. 13.22
  32. 10.74
  33. 15
  34. 7
  35. 3 days
  36. 14
  37. 5
  38. 10%
  39. 12
  40. 48 sq cm

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