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Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 845 · 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.Which is the smallest: 0.484, 0.5, 0.061, 0.52? (a) 0.484 (b) 0.5 (c) 0.061 (d) 0.52
  2. 2.A square has a perimeter of 36 cm. What is its area? (a) 36 sq cm (b) 18 sq cm (c) 81 sq cm (d) 100 sq cm
  3. 3.Every pair follows the same rule: 2 : 12, 5 : 33, 7 : 57. What is 6 : ? (a) 45 (b) 36 (c) 16 (d) 44
  4. 4.If 29 June is a Monday, what day of the week is 12 July? (a) Tuesday (b) Monday (c) Sunday (d) Saturday
  5. 5.A shopkeeper buys a toy for ₹760 and sells it for ₹608. What is his loss percent? (a) 21% (b) 25% (c) 15% (d) 20%
  6. 6.9.35 + 1.3 = ? (a) 10.75 (b) 10.65 (c) 10.55 (d) 9.48
  7. 7.What is the average of 48, 40, 68, 46, 40 and 76? (a) 54 (b) 52 (c) 55 (d) 53
  8. 8.Today is Saturday. What day of the week will it be after 45 days? (a) Monday (b) Tuesday (c) Wednesday (d) Thursday
  9. 9.A shopkeeper buys a toy for ₹540 and sells it for ₹594. What is his profit percent? (a) 15% (b) 10% (c) 54% (d) 5%
  10. 10.Every pair follows the same rule: 2 : 3, 5 : 24, 8 : 63. What is 4 : ? (a) 5 (b) 15 (c) 11 (d) 16
  11. 11.A rectangle is 17 cm long and 11 cm wide. What is its perimeter? (a) 28 cm (b) 187 cm (c) 45 cm (d) 56 cm
  12. 12.What is the units digit of 2^29? (a) 2 (b) 6 (c) 8 (d) 4
  13. 13.The simple interest on ₹5500 for 3 years is ₹1485. What is the rate per year? (a) 27% (b) 9% (c) 10% (d) 8%
  14. 14.The average of 5 numbers is 24. When one number is taken away, the average of the rest is 19. Which number was taken away? (a) 44 (b) 25 (c) 43 (d) 24
  15. 15.Which fraction is greater: 2/7 or 9/11? (a) 2/7 (b) 9/11 (c) They are equal
  16. 16.₹3000 is invested at 11% per year simple interest. What is the amount after 3 years? (a) ₹4320 (b) ₹3330 (c) ₹3990 (d) ₹990
  17. 17.What is 50% of 1000? (a) 5000 (b) 500 (c) 501 (d) 1000
  18. 18.7 workers can build a wall in 9 days. How many days will 9 workers take, working at the same speed? (a) 6 days (b) 7 days (c) 11 days (d) 8 days
  19. 19.What is the smallest number you must add to 125 to make it divisible by 3? (a) 2 (b) 1
  20. 20.Every pair follows the same rule: 3 : 14, 4 : 18, 6 : 26. What is 5 : ? (a) 23 (b) 22 (c) 21 (d) 16
  21. 21.Every pair follows the same rule: 2 : 11, 6 : 43, 8 : 71. What is 3 : ? (a) 1 (b) 16 (c) 17 (d) 12
  22. 22.3.43 + 1.4 = ? (a) 4.93 (b) 3.57 (c) 4.83 (d) 4.73
  23. 23.A batter has an average of 56 runs in 6 matches. How many runs are needed in the next match to raise the average to 60? (a) 84 (b) 64 (c) 28 (d) 60
  24. 24.What is 1/4 of 8? (a) 3 (b) 6 (c) 4 (d) 2
  25. 25.8.65 + 1.6 = ? (a) 10.25 (b) 8.81 (c) 10.15 (d) 10.35
  26. 26.What is the value of the digit 8 in 48.361? (a) 8 (b) 80 (c) 0.8 (d) 0.08
  27. 27.A rectangle is 17 cm long and 4 cm wide. What is its perimeter? (a) 68 cm (b) 21 cm (c) 38 cm (d) 42 cm
  28. 28.If 9 December is a Sunday, what day of the week is 18 December? (a) Monday (b) Thursday (c) Tuesday (d) Wednesday
  29. 29.A square has a perimeter of 56 cm. What is its area? (a) 28 sq cm (b) 196 sq cm (c) 56 sq cm (d) 225 sq cm
  30. 30.Two ribbons are 12 cm and 18 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 6 cm (b) 12 cm (c) 36 cm (d) 3 cm
  31. 31.What is the units digit of 3^56? (a) 9 (b) 1 (c) 7 (d) 3
  32. 32.What is the remainder when 306 is divided by 4? (a) 0 (b) 1 (c) 2 (d) 3
  33. 33.A rectangle is 16 cm long and 8 cm wide. What is its area? (a) 48 sq cm (b) 24 sq cm (c) 128 sq cm (d) 144 sq cm
  34. 34.What is the simple interest on ₹9000 at 4% per year for 3 years? (a) ₹360 (b) ₹1440 (c) ₹10080 (d) ₹1080
  35. 35.What is the units digit of 4^38? (a) 7 (b) 5 (c) 4 (d) 6
  36. 36.5/8 + 1/4 = ? (a) 3/4 (b) 1 (c) 1/2 (d) 7/8
  37. 37.Which of these numbers is divisible by 4? (a) 2197 (b) 2201 (c) 2196 (d) 2193
  38. 38.Every pair follows the same rule: 2 : 13, 3 : 14, 6 : 17. What is 7 : ? (a) 18 (b) 20 (c) 17 (d) 19
  39. 39.A batter has an average of 36 runs in 9 matches. How many runs are needed in the next match to raise the average to 38? (a) 20 (b) 40 (c) 38 (d) 56
  40. 40.What is the value of the digit 8 in 47.628? (a) 0.8 (b) 0.08 (c) 0.008 (d) 8

Answer key

  1. 0.061
  2. 81 sq cm
  3. 44
  4. Sunday
  5. 20%
  6. 10.65
  7. 53
  8. Tuesday
  9. 10%
  10. 15
  11. 56 cm
  12. 2
  13. 9%
  14. 44
  15. 9/11
  16. ₹3990
  17. 500
  18. 7 days
  19. 1
  20. 22
  21. 16
  22. 4.83
  23. 84
  24. 2
  25. 10.25
  26. 8
  27. 42 cm
  28. Tuesday
  29. 196 sq cm
  30. 6 cm
  31. 1
  32. 2
  33. 128 sq cm
  34. ₹1080
  35. 6
  36. 7/8
  37. 2196
  38. 18
  39. 56
  40. 0.008

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