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Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 958 · 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.₹10000 is invested at 12% per year simple interest. What is the amount after 2 years? (a) ₹12400 (b) ₹13600 (c) ₹11200 (d) ₹2400
  2. 2.The simple interest on ₹2000 for 3 years is ₹720. What is the rate per year? (a) 12% (b) 11% (c) 13% (d) 36%
  3. 3.If 4x + 14 = 62, what is x? (a) 13 (b) 48 (c) 19 (d) 12
  4. 4.Every pair follows the same rule: 2 : 14, 4 : 24, 8 : 44. What is 6 : ? (a) 34 (b) 42 (c) 18 (d) 35
  5. 5.Two bells ring every 12 minutes and every 42 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 84 min (b) 504 min (c) 54 min (d) 6 min
  6. 6.1.29 + 8.9 = ? (a) 10.09 (b) 10.19 (c) 2.18 (d) 10.29
  7. 7.Every pair follows the same rule: 2 : 9, 4 : 11, 5 : 12. What is 8 : ? (a) 16 (b) 15 (c) 17 (d) 14
  8. 8.2.27 + 5.2 = ? (a) 7.37 (b) 7.57 (c) 7.47 (d) 2.79
  9. 9.Two bells ring every 9 minutes and every 15 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 24 min (b) 45 min (c) 135 min (d) 3 min
  10. 10.If 3x − 12 = 15, what is x? (a) 10 (b) 9 (c) 1 (d) 27
  11. 11.6/9 + 1/4 = ? (a) 7/13 (b) 17/18 (c) 8/9 (d) 11/12
  12. 12.A rectangle is 8 cm long and 2 cm wide. What is its area? (a) 16 sq cm (b) 10 sq cm (c) 24 sq cm (d) 20 sq cm
  13. 13.Which is the smallest: 0.82, 0.085, 0.8, 0.758? (a) 0.82 (b) 0.085 (c) 0.8 (d) 0.758
  14. 14.Every pair follows the same rule: 4 : 16, 5 : 17, 7 : 19. What is 9 : ? (a) 22 (b) 20 (c) 21 (d) 36
  15. 15.A rectangle has an area of 80 sq cm and a length of 10 cm. What is its width? (a) 16 cm (b) 9 cm (c) 8 cm (d) 70 cm
  16. 16.₹528 is shared between two friends in the ratio 3 : 8. How much is the bigger share? (a) ₹384 (b) ₹144 (c) ₹264 (d) ₹48
  17. 17.A shopkeeper buys a toy for ₹680 and sells it for ₹612. What is his loss percent? (a) 15% (b) 10% (c) 5% (d) 68%
  18. 18.If 4x + 22 = 42, what is x? (a) 20 (b) 16 (c) 5 (d) 6
  19. 19.What is the average of 49, 54, 30, 29 and 43? (a) 42 (b) 43 (c) 41 (d) 40
  20. 20.A rectangle is 6 cm long and 4 cm wide. What is its perimeter? (a) 20 cm (b) 16 cm (c) 10 cm (d) 24 cm
  21. 21.Which is the greatest: 0.2, 0.189, 0.29, 0.028? (a) 0.2 (b) 0.189 (c) 0.29 (d) 0.028
  22. 22.The simple interest on ₹7000 for 5 years is ₹700. What is the rate per year? (a) 10% (b) 3% (c) 1% (d) 2%
  23. 23.A rectangle has an area of 66 sq cm and a length of 11 cm. What is its width? (a) 7 cm (b) 55 cm (c) 6 cm (d) 12 cm
  24. 24.Every pair follows the same rule: 3 : 8, 5 : 24, 6 : 35. What is 4 : ? (a) 13 (b) 16 (c) 9 (d) 15
  25. 25.Which is the smallest: 0.073, 0.5, 0.52, 0.414? (a) 0.073 (b) 0.5 (c) 0.52 (d) 0.414
  26. 26.Which of these numbers is divisible by 3? (a) 2270 (b) 2268 (c) 2273 (d) 2267
  27. 27.If 2 October is a Saturday, what day of the week is 14 October? (a) Saturday (b) Thursday (c) Wednesday (d) Friday
  28. 28.What is the remainder when 659 is divided by 11? (a) 1 (b) 9 (c) 8 (d) 10
  29. 29.Which fraction is greater: 6/7 or 9/10? (a) 9/10 (b) They are equal (c) 6/7
  30. 30.6.49 + 3.2 = ? (a) 6.81 (b) 9.59 (c) 9.69 (d) 9.79
  31. 31.Every pair follows the same rule: 3 : 27, 4 : 64, 5 : 125. What is 6 : ? (a) 186 (b) 54 (c) 216 (d) 30
  32. 32.What is the value of the digit 9 in 16.897? (a) 9 (b) 0.09 (c) 0.9 (d) 0.009
  33. 33.Two ribbons are 40 cm and 90 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 50 cm (b) 10 cm (c) 5 cm (d) 40 cm
  34. 34.A teacher has 18 pencils and 21 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 126 (b) 3 (c) 18 (d) 1
  35. 35.What is 40% of 80? (a) 48 (b) 32 (c) 320 (d) 64
  36. 36.Two bells ring every 12 minutes and every 15 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 27 min (b) 180 min (c) 60 min (d) 3 min
  37. 37.A square has a perimeter of 20 cm. What is its area? (a) 20 sq cm (b) 25 sq cm (c) 36 sq cm (d) 10 sq cm
  38. 38.₹9000 is invested at 4% per year simple interest. What is the amount after 2 years? (a) ₹10080 (b) ₹9720 (c) ₹9360 (d) ₹720
  39. 39.The simple interest on ₹5500 for 3 years is ₹825. What is the rate per year? (a) 4% (b) 6% (c) 5% (d) 15%
  40. 40.If x/5 + 4 = 16, what is x? (a) 76 (b) 100 (c) 12 (d) 60

Answer key

  1. ₹12400
  2. 12%
  3. 12
  4. 34
  5. 84 min
  6. 10.19
  7. 15
  8. 7.47
  9. 45 min
  10. 9
  11. 11/12
  12. 16 sq cm
  13. 0.085
  14. 21
  15. 8 cm
  16. ₹384
  17. 10%
  18. 5
  19. 41
  20. 20 cm
  21. 0.29
  22. 2%
  23. 6 cm
  24. 15
  25. 0.073
  26. 2268
  27. Thursday
  28. 10
  29. 9/10
  30. 9.69
  31. 216
  32. 0.09
  33. 10 cm
  34. 3
  35. 32
  36. 60 min
  37. 25 sq cm
  38. ₹9720
  39. 5%
  40. 60

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