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Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 134 · 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.The simple interest on ₹4000 for 5 years is ₹1800. What is the rate per year? (a) 9% (b) 10% (c) 45% (d) 8%
  2. 2.A rectangle is 10 cm long and 9 cm wide. What is its perimeter? (a) 90 cm (b) 38 cm (c) 19 cm (d) 29 cm
  3. 3.Two bells ring every 8 minutes and every 28 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 224 min (b) 36 min (c) 56 min (d) 4 min
  4. 4.What is the average of 37, 16, 42 and 29? (a) 33 (b) 31 (c) 32 (d) 30
  5. 5.2/3 + 1/3 = ? (a) 1 (b) 2/3 (c) 1/2 (d) 4/3
  6. 6.If x/6 + 13 = 18, what is x? (a) 5 (b) 186 (c) 95 (d) 30
  7. 7.Which fraction is greater: 5/7 or 1/3? (a) They are equal (b) 5/7 (c) 1/3
  8. 8.Two bells ring every 8 minutes and every 20 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 160 min (b) 28 min (c) 4 min (d) 40 min
  9. 9.Every pair follows the same rule: 2 : 3, 6 : 11, 8 : 15. What is 7 : ? (a) 13 (b) 12 (c) 14 (d) 8
  10. 10.Which is the greatest: 0.093, 0.5, 0.51, 0.474? (a) 0.093 (b) 0.5 (c) 0.51 (d) 0.474
  11. 11.Today is Tuesday. What day of the week will it be after 70 days? (a) Thursday (b) Tuesday (c) Monday (d) Wednesday
  12. 12.A rectangle is 13 cm long and 11 cm wide. What is its area? (a) 24 sq cm (b) 143 sq cm (c) 48 sq cm (d) 156 sq cm
  13. 13.Every pair follows the same rule: 4 : 21, 8 : 41, 9 : 46. What is 6 : ? (a) 32 (b) 30 (c) 31 (d) 23
  14. 14.Two ribbons are 22 cm and 99 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) 11 cm (c) 22 cm (d) 77 cm
  15. 15.If 5 kites cost ₹60, how much do 11 kites cost? (a) ₹66 (b) ₹132 (c) ₹660 (d) ₹144
  16. 16.₹210 is shared between two friends in the ratio 3 : 4. How much is the bigger share? (a) ₹30 (b) ₹105 (c) ₹90 (d) ₹120
  17. 17.What is the units digit of 4^52? (a) 4 (b) 5 (c) 7 (d) 6
  18. 18.A square has a perimeter of 44 cm. What is its area? (a) 44 sq cm (b) 144 sq cm (c) 22 sq cm (d) 121 sq cm
  19. 19.What is the simple interest on ₹5000 at 6% per year for 2 years? (a) ₹5600 (b) ₹600 (c) ₹300 (d) ₹900
  20. 20.If 7 mangoes cost ₹161, how much do 8 mangoes cost? (a) ₹184 (b) ₹1288 (c) ₹162 (d) ₹207
  21. 21.What is the simple interest on ₹10000 at 10% per year for 2 years? (a) ₹12000 (b) ₹3000 (c) ₹2000 (d) ₹1000
  22. 22.A rectangle is 18 cm long and 12 cm wide. What is its perimeter? (a) 30 cm (b) 216 cm (c) 60 cm (d) 48 cm
  23. 23.2.41 + 4.6 = ? (a) 7.11 (b) 6.91 (c) 7.01 (d) 2.87
  24. 24.₹9500 is invested at 9% per year simple interest. What is the amount after 3 years? (a) ₹10355 (b) ₹12065 (c) ₹2565 (d) ₹12920
  25. 25.What is the units digit of 7^33? (a) 3 (b) 9 (c) 1 (d) 7
  26. 26.Which of these numbers is divisible by 4? (a) 428 (b) 431 (c) 434 (d) 427
  27. 27.Which fraction is greater: 3/4 or 1/5? (a) They are equal (b) 3/4 (c) 1/5
  28. 28.Which of these numbers is divisible by 3? (a) 269 (b) 272 (c) 267 (d) 266
  29. 29.What is the average of all the whole numbers from 55 to 69? (a) 63 (b) 7 (c) 62 (d) 14
  30. 30.What is the smallest number of sweets that can be shared equally among 8 children or among 12 children, with none left over? (a) 96 (b) 48 (c) 20 (d) 24
  31. 31.Every pair follows the same rule: 4 : 16, 5 : 25, 7 : 49. What is 8 : ? (a) 61 (b) 32 (c) 64 (d) 20
  32. 32.What is 1/2 of 6? (a) 2 (b) 3 (c) 6 (d) 4
  33. 33.If 4 mangoes cost ₹88, how much do 9 mangoes cost? (a) ₹93 (b) ₹220 (c) ₹792 (d) ₹198
  34. 34.If 4x + 14 = 42, what is x? (a) 28 (b) 14 (c) 8 (d) 7
  35. 35.Which is the smallest: 0.193, 0.29, 0.046, 0.2? (a) 0.193 (b) 0.29 (c) 0.046 (d) 0.2
  36. 36.What is 1/2 of 22? (a) 10 (b) 11 (c) 22 (d) 12
  37. 37.3.56 + 2.7 = ? (a) 6.36 (b) 3.83 (c) 6.16 (d) 6.26
  38. 38.Two bells ring every 18 minutes and every 30 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 540 min (b) 6 min (c) 90 min (d) 48 min
  39. 39.What is the units digit of 2^20? (a) 6 (b) 2 (c) 4 (d) 8
  40. 40.If x/2 + 1 = 12, what is x? (a) 22 (b) 26 (c) 11 (d) 23

Answer key

  1. 9%
  2. 38 cm
  3. 56 min
  4. 31
  5. 1
  6. 30
  7. 5/7
  8. 40 min
  9. 13
  10. 0.51
  11. Tuesday
  12. 143 sq cm
  13. 31
  14. 11 cm
  15. ₹132
  16. ₹120
  17. 6
  18. 121 sq cm
  19. ₹600
  20. ₹184
  21. ₹2000
  22. 60 cm
  23. 7.01
  24. ₹12065
  25. 7
  26. 428
  27. 3/4
  28. 267
  29. 62
  30. 24
  31. 64
  32. 3
  33. ₹198
  34. 7
  35. 0.046
  36. 11
  37. 6.26
  38. 90 min
  39. 6
  40. 22

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