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Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 938 · 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 10 January is a Wednesday, what day of the week is 20 January? (a) Friday (b) Saturday (c) Sunday (d) Monday
  2. 2.What is the smallest number of sweets that can be shared equally among 16 children or among 20 children, with none left over? (a) 160 (b) 80 (c) 36 (d) 320
  3. 3.What is 1/8 of 80? (a) 70 (b) 10 (c) 20 (d) 11
  4. 4.₹7500 is invested at 11% per year simple interest. What is the amount after 5 years? (a) ₹11625 (b) ₹8325 (c) ₹4125 (d) ₹12450
  5. 5.If 31 May is a Thursday, what day of the week is 7 June? (a) Saturday (b) Wednesday (c) Thursday (d) Friday
  6. 6.What is the smallest number you must add to 257 to make it divisible by 4? (a) 3 (b) 1 (c) 2
  7. 7.Two ribbons are 28 cm and 49 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) 7 cm (c) 28 cm (d) 21 cm
  8. 8.2/4 + 1/2 = ? (a) 1/2 (b) 3/4 (c) 1 (d) 5/4
  9. 9.What is the simple interest on ₹2000 at 5% per year for 2 years? (a) ₹300 (b) ₹200 (c) ₹2200 (d) ₹100
  10. 10.₹205 is shared between two friends in the ratio 2 : 3. How much is the bigger share? (a) ₹82 (b) ₹41 (c) ₹164 (d) ₹123
  11. 11.7 workers can build a wall in 15 days. How many days will 3 workers take, working at the same speed? (a) 35 days (b) 36 days (c) 11 days (d) 19 days
  12. 12.Which of these numbers is divisible by 3? (a) 761 (b) 764 (c) 762 (d) 767
  13. 13.What is the smallest number you must add to 169 to make it divisible by 3? (a) 1 (b) 2
  14. 14.A shopkeeper buys a toy for ₹780 and sells it for ₹858. What is his profit percent? (a) 10% (b) 15% (c) 78% (d) 5%
  15. 15.6.64 + 8.1 = ? (a) 14.84 (b) 14.64 (c) 14.74 (d) 7.45
  16. 16.Which is the smallest: 0.8, 0.011, 0.84, 0.728? (a) 0.8 (b) 0.011 (c) 0.84 (d) 0.728
  17. 17.What is the value of the digit 6 in 63.748? (a) 60 (b) 6 (c) 0.06 (d) 0.6
  18. 18.A rectangle is 12 cm long and 2 cm wide. What is its area? (a) 36 sq cm (b) 24 sq cm (c) 28 sq cm (d) 14 sq cm
  19. 19.Every pair follows the same rule: 1 : 1, 3 : 27, 5 : 125. What is 4 : ? (a) 76 (b) 4 (c) 64 (d) 65
  20. 20.What is 1/2 of 8? (a) 4 (b) 3 (c) 5 (d) 8
  21. 21.Every pair follows the same rule: 2 : 12, 4 : 16, 7 : 22. What is 9 : ? (a) 27 (b) 19 (c) 26 (d) 54
  22. 22.What is 5/6 of 12? (a) 12 (b) 10 (c) 2 (d) 11
  23. 23.A shopkeeper buys a toy for ₹360 and sells it for ₹540. What is his profit percent? (a) 55% (b) 50% (c) 45% (d) 51%
  24. 24.A bag marked ₹1500 is sold at a 10% discount. What is its selling price? (a) ₹1650 (b) ₹1490 (c) ₹1350 (d) ₹150
  25. 25.Which fraction is greater: 3/4 or 3/8? (a) 3/8 (b) They are equal (c) 3/4
  26. 26.Two ribbons are 24 cm and 108 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 24 cm (b) 6 cm (c) 12 cm (d) 84 cm
  27. 27.9 workers can build a wall in 15 days. How many days will 5 workers take, working at the same speed? (a) 27 days (b) 11 days (c) 19 days (d) 28 days
  28. 28.A bag marked ₹480 is sold at a 20% discount. What is its selling price? (a) ₹460 (b) ₹576 (c) ₹96 (d) ₹384
  29. 29.Every pair follows the same rule: 2 : 6, 3 : 8, 8 : 18. What is 7 : ? (a) 21 (b) 11 (c) 16 (d) 17
  30. 30.Every pair follows the same rule: 3 : 15, 4 : 22, 7 : 55. What is 2 : ? (a) 11 (b) 10 (c) 9 (d) 14
  31. 31.Today is Saturday. What day of the week will it be after 93 days? (a) Tuesday (b) Sunday (c) Monday (d) Wednesday
  32. 32.Which fraction is greater: 2/3 or 3/11? (a) 3/11 (b) 2/3 (c) They are equal
  33. 33.A batter has an average of 39 runs in 7 matches. How many runs are needed in the next match to raise the average to 42? (a) 42 (b) 63 (c) 24 (d) 45
  34. 34.A rectangle is 15 cm long and 4 cm wide. What is its perimeter? (a) 38 cm (b) 60 cm (c) 34 cm (d) 19 cm
  35. 35.If x/6 + 7 = 18, what is x? (a) 101 (b) 11 (c) 150 (d) 66
  36. 36.Every pair follows the same rule: 3 : 6, 6 : 33, 9 : 78. What is 7 : ? (a) 14 (b) 10 (c) 46 (d) 48
  37. 37.A rectangle is 9 cm long and 5 cm wide. What is its area? (a) 14 sq cm (b) 54 sq cm (c) 28 sq cm (d) 45 sq cm
  38. 38.Every pair follows the same rule: 2 : 4, 6 : 36, 8 : 64. What is 7 : ? (a) 49 (b) 50 (c) 14 (d) 9
  39. 39.A square has a perimeter of 56 cm. What is its area? (a) 28 sq cm (b) 56 sq cm (c) 196 sq cm (d) 225 sq cm
  40. 40.What is the remainder when 76 is divided by 3? (a) 0 (b) 1 (c) 2

Answer key

  1. Saturday
  2. 80
  3. 10
  4. ₹11625
  5. Thursday
  6. 3
  7. 7 cm
  8. 1
  9. ₹200
  10. ₹123
  11. 35 days
  12. 762
  13. 2
  14. 10%
  15. 14.74
  16. 0.011
  17. 60
  18. 24 sq cm
  19. 64
  20. 4
  21. 26
  22. 10
  23. 50%
  24. ₹1350
  25. 3/4
  26. 12 cm
  27. 27 days
  28. ₹384
  29. 16
  30. 10
  31. Monday
  32. 2/3
  33. 63
  34. 38 cm
  35. 66
  36. 46
  37. 45 sq cm
  38. 49
  39. 196 sq cm
  40. 1

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