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Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 608 · 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.If 7 kites cost ₹112, how much do 10 kites cost? (a) ₹176 (b) ₹115 (c) ₹160 (d) ₹1120
  2. 2.A square has a perimeter of 20 cm. What is its area? (a) 10 sq cm (b) 25 sq cm (c) 20 sq cm (d) 36 sq cm
  3. 3.If 4x + 2 = 2x + 8, what is x? (a) 5 (b) 1 (c) 4 (d) 3
  4. 4.Two ribbons are 40 cm and 45 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) 5 cm (c) 40 cm (d) 360 cm
  5. 5.In how many years will ₹2000 earn ₹1100 simple interest at 11% per year? (a) 6 years (b) 10 years (c) 5 years (d) 4 years
  6. 6.Today is Tuesday. What day of the week will it be after 45 days? (a) Thursday (b) Saturday (c) Friday (d) Sunday
  7. 7.What is the simple interest on ₹2500 at 8% per year for 5 years? (a) ₹1000 (b) ₹3500 (c) ₹1200 (d) ₹200
  8. 8.In how many years will ₹8500 earn ₹510 simple interest at 3% per year? (a) 1 year (b) 3 years (c) 2 years (d) 4 years
  9. 9.Every pair follows the same rule: 5 : 19, 6 : 23, 7 : 27. What is 9 : ? (a) 23 (b) 35 (c) 36 (d) 34
  10. 10.A shopkeeper buys a toy for ₹940 and sells it for ₹846. What is his loss percent? (a) 94% (b) 5% (c) 10% (d) 15%
  11. 11.Which is the greatest: 0.656, 0.7, 0.72, 0.057? (a) 0.656 (b) 0.7 (c) 0.72 (d) 0.057
  12. 12.Every pair follows the same rule: 4 : 16, 5 : 25, 6 : 36. What is 9 : ? (a) 21 (b) 36 (c) 81 (d) 69
  13. 13.Which fraction is greater: 4/11 or 4/7? (a) 4/7 (b) 4/11 (c) They are equal
  14. 14.What is the units digit of 8^17? (a) 6 (b) 4 (c) 8 (d) 2
  15. 15.What is 4/9 of 81? (a) 36 (b) 9 (c) 37 (d) 45
  16. 16.A shopkeeper buys a toy for ₹240 and sells it for ₹312. What is his profit percent? (a) 72% (b) 35% (c) 30% (d) 25%
  17. 17.8 workers can build a wall in 6 days. How many days will 6 workers take, working at the same speed? (a) 7 days (b) 9 days (c) 4 days (d) 8 days
  18. 18.In how many years will ₹1000 earn ₹240 simple interest at 8% per year? (a) 6 years (b) 2 years (c) 3 years (d) 4 years
  19. 19.A rectangle is 17 cm long and 2 cm wide. What is its area? (a) 38 sq cm (b) 19 sq cm (c) 51 sq cm (d) 34 sq cm
  20. 20.What is the simple interest on ₹9500 at 3% per year for 2 years? (a) ₹855 (b) ₹570 (c) ₹285 (d) ₹10070
  21. 21.Which of these numbers is divisible by 11? (a) 1652 (b) 1646 (c) 1633 (d) 1639
  22. 22.Which of these numbers is divisible by 8? (a) 4019 (b) 4024 (c) 4033 (d) 4026
  23. 23.₹9000 is invested at 2% per year simple interest. What is the amount after 4 years? (a) ₹9180 (b) ₹720 (c) ₹9900 (d) ₹9720
  24. 24.Which is the greatest: 0.098, 0.418, 0.51, 0.5? (a) 0.098 (b) 0.418 (c) 0.51 (d) 0.5
  25. 25.If x/2 + 14 = 17, what is x? (a) 3 (b) 20 (c) 6 (d) 62
  26. 26.If 8 kites cost ₹24, how much do 11 kites cost? (a) ₹36 (b) ₹33 (c) ₹264 (d) ₹27
  27. 27.If x/2 + 7 = 10, what is x? (a) 34 (b) 6 (c) 3 (d) 13
  28. 28.Which of these numbers is divisible by 4? (a) 1575 (b) 1583 (c) 1576 (d) 1577
  29. 29.A shopkeeper buys a toy for ₹440 and sells it for ₹528. What is his profit percent? (a) 20% (b) 25% (c) 15% (d) 88%
  30. 30.Every pair follows the same rule: 3 : 6, 7 : 46, 8 : 61. What is 4 : ? (a) 8 (b) 7 (c) 1 (d) 13
  31. 31.Two ribbons are 36 cm and 45 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 36 cm (b) 180 cm (c) 3 cm (d) 9 cm
  32. 32.If 8x + 27 = 91, what is x? (a) 8 (b) 64 (c) 7 (d) 9
  33. 33.What is the smallest number you must add to 466 to make it divisible by 6? (a) 1 (b) 3 (c) 2 (d) 4
  34. 34.A shopkeeper buys a toy for ₹220 and sells it for ₹198. What is his loss percent? (a) 5% (b) 22% (c) 10% (d) 15%
  35. 35.If 5x + 17 = 2x + 29, what is x? (a) 6 (b) 5 (c) 3 (d) 4
  36. 36.What is the remainder when 40 is divided by 3? (a) 2 (b) 1 (c) 0
  37. 37.If 3 October is a Tuesday, what day of the week is 14 October? (a) Saturday (b) Sunday (c) Friday (d) Monday
  38. 38.What is the units digit of 9^21? (a) 9 (b) 7 (c) 8 (d) 1
  39. 39.Which of these numbers is divisible by 8? (a) 2638 (b) 2632 (c) 2629 (d) 2642
  40. 40.₹105 is shared between two friends in the ratio 1 : 6. How much is the bigger share? (a) ₹15 (b) ₹105 (c) ₹91 (d) ₹90

Answer key

  1. ₹160
  2. 25 sq cm
  3. 3
  4. 5 cm
  5. 5 years
  6. Friday
  7. ₹1000
  8. 2 years
  9. 35
  10. 10%
  11. 0.72
  12. 81
  13. 4/7
  14. 8
  15. 36
  16. 30%
  17. 8 days
  18. 3 years
  19. 34 sq cm
  20. ₹570
  21. 1639
  22. 4024
  23. ₹9720
  24. 0.51
  25. 6
  26. ₹33
  27. 6
  28. 1576
  29. 20%
  30. 13
  31. 9 cm
  32. 8
  33. 2
  34. 10%
  35. 4
  36. 1
  37. Saturday
  38. 9
  39. 2632
  40. ₹90

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