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Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 977 · 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.A square has a perimeter of 24 cm. What is its area? (a) 24 sq cm (b) 49 sq cm (c) 36 sq cm (d) 12 sq cm
  2. 2.Which fraction is greater: 1/5 or 9/10? (a) 9/10 (b) They are equal (c) 1/5
  3. 3.What is the units digit of 8^44? (a) 8 (b) 4 (c) 2 (d) 6
  4. 4.What is the value of the digit 6 in 46.712? (a) 0.6 (b) 60 (c) 6 (d) 0.06
  5. 5.What is the simple interest on ₹9500 at 9% per year for 3 years? (a) ₹3420 (b) ₹12065 (c) ₹2565 (d) ₹855
  6. 6.A rectangle is 6 cm long and 3 cm wide. What is its area? (a) 24 sq cm (b) 18 sq cm (c) 19 sq cm (d) 9 sq cm
  7. 7.9.92 + 2.4 = ? (a) 10.16 (b) 12.42 (c) 12.22 (d) 12.32
  8. 8.What is the value of the digit 9 in 34.951? (a) 9 (b) 0.009 (c) 0.9 (d) 0.09
  9. 9.A teacher has 35 pencils and 45 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 5 (b) 35 (c) 10 (d) 1
  10. 10.What is the units digit of 4^50? (a) 7 (b) 4 (c) 5 (d) 6
  11. 11.The simple interest on ₹10000 for 2 years is ₹2000. What is the rate per year? (a) 10% (b) 11% (c) 9% (d) 20%
  12. 12.3/6 + 1/2 = ? (a) 7/6 (b) 1 (c) 5/6 (d) 1/2
  13. 13.3 workers can build a wall in 7 days. How many days will 7 workers take, working at the same speed? (a) 4 days (b) 2 days (c) 3 days (d) 11 days
  14. 14.4 workers can build a wall in 7 days. How many days will 2 workers take, working at the same speed? (a) 15 days (b) 14 days (c) 5 days (d) 9 days
  15. 15.A shopkeeper buys a toy for ₹660 and sells it for ₹528. What is his loss percent? (a) 15% (b) 20% (c) 21% (d) 25%
  16. 16.Two ribbons are 18 cm and 81 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 18 cm (b) 3 cm (c) 63 cm (d) 9 cm
  17. 17.Today is Monday. What day of the week will it be after 47 days? (a) Saturday (b) Monday (c) Sunday (d) Friday
  18. 18.Which is the greatest: 0.256, 0.062, 0.3, 0.39? (a) 0.256 (b) 0.062 (c) 0.3 (d) 0.39
  19. 19.If 7 notebooks cost ₹63, how much do 2 notebooks cost? (a) ₹126 (b) ₹18 (c) ₹27 (d) ₹58
  20. 20.7/9 + 1/4 = ? (a) 8/13 (b) 1 (c) 19/18 (d) 37/36
  21. 21.A shopkeeper buys a toy for ₹160 and sells it for ₹168. What is his profit percent? (a) 10% (b) 5% (c) 6% (d) 8%
  22. 22.Every pair follows the same rule: 5 : 12, 7 : 14, 8 : 15. What is 4 : ? (a) 10 (b) 13 (c) 11 (d) 12
  23. 23.What is the simple interest on ₹5500 at 6% per year for 5 years? (a) ₹7150 (b) ₹330 (c) ₹1980 (d) ₹1650
  24. 24.A batter has an average of 41 runs in 6 matches. How many runs are needed in the next match to raise the average to 43? (a) 14 (b) 55 (c) 45 (d) 43
  25. 25.1/2 + 1/4 = ? (a) 1 (b) 1/3 (c) 1/2 (d) 3/4
  26. 26.A shopkeeper buys a toy for ₹820 and sells it for ₹984. What is his profit percent? (a) 15% (b) 20% (c) 21% (d) 25%
  27. 27.1.43 + 1.4 = ? (a) 2.93 (b) 2.73 (c) 1.57 (d) 2.83
  28. 28.What is the average of all the whole numbers from 19 to 39? (a) 30 (b) 29 (c) 20 (d) 10
  29. 29.What is the smallest number of sweets that can be shared equally among 6 children or among 8 children, with none left over? (a) 25 (b) 24 (c) 48 (d) 14
  30. 30.Every pair follows the same rule: 3 : 8, 6 : 35, 9 : 80. What is 7 : ? (a) 12 (b) 48 (c) 50 (d) 49
  31. 31.Which of these numbers is divisible by 4? (a) 943 (b) 949 (c) 944 (d) 945
  32. 32.A rectangle is 17 cm long and 10 cm wide. What is its perimeter? (a) 44 cm (b) 27 cm (c) 54 cm (d) 170 cm
  33. 33.A bag marked ₹1120 is sold at a 10% discount. What is its selling price? (a) ₹1232 (b) ₹1008 (c) ₹1110 (d) ₹112
  34. 34.3 workers can build a wall in 5 days. How many days will 5 workers take, working at the same speed? (a) 2 days (b) 7 days (c) 3 days (d) 4 days
  35. 35.A square has a perimeter of 48 cm. What is its area? (a) 169 sq cm (b) 144 sq cm (c) 48 sq cm (d) 24 sq cm
  36. 36.Which is the greatest: 0.034, 0.53, 0.499, 0.5? (a) 0.034 (b) 0.53 (c) 0.499 (d) 0.5
  37. 37.Which fraction is greater: 5/7 or 1/3? (a) 5/7 (b) They are equal (c) 1/3
  38. 38.What is 20% of 260? (a) 208 (b) 520 (c) 104 (d) 52
  39. 39.Which fraction is greater: 7/10 or 2/3? (a) 7/10 (b) 2/3 (c) They are equal
  40. 40.What is the average of 48, 36, 48 and 64? (a) 51 (b) 48 (c) 49 (d) 50

Answer key

  1. 36 sq cm
  2. 9/10
  3. 6
  4. 6
  5. ₹2565
  6. 18 sq cm
  7. 12.32
  8. 0.9
  9. 5
  10. 6
  11. 10%
  12. 1
  13. 3 days
  14. 14 days
  15. 20%
  16. 9 cm
  17. Saturday
  18. 0.39
  19. ₹18
  20. 37/36
  21. 5%
  22. 11
  23. ₹1650
  24. 55
  25. 3/4
  26. 20%
  27. 2.83
  28. 29
  29. 24
  30. 48
  31. 944
  32. 54 cm
  33. ₹1008
  34. 3 days
  35. 144 sq cm
  36. 0.53
  37. 5/7
  38. 52
  39. 7/10
  40. 49

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