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Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 698 · 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.What is 8/9 of 27? (a) 25 (b) 27 (c) 24 (d) 3
  2. 2.What is the value of the digit 5 in 59.123? (a) 50 (b) 0.05 (c) 0.5 (d) 5
  3. 3.A shopkeeper buys a toy for ₹720 and sells it for ₹1080. What is his profit percent? (a) 50% (b) 51% (c) 55% (d) 45%
  4. 4.A shopkeeper buys a toy for ₹660 and sells it for ₹396. What is his loss percent? (a) 35% (b) 45% (c) 40% (d) 41%
  5. 5.Which of these numbers is divisible by 6? (a) 1899 (b) 1907 (c) 1895 (d) 1896
  6. 6.What is the smallest number of sweets that can be shared equally among 8 children or among 28 children, with none left over? (a) 56 (b) 112 (c) 36 (d) 224
  7. 7.What is 4/5 of 50? (a) 41 (b) 40 (c) 50 (d) 10
  8. 8.What is the smallest number of sweets that can be shared equally among 4 children or among 14 children, with none left over? (a) 29 (b) 56 (c) 18 (d) 28
  9. 9.₹273 is shared between two friends in the ratio 4 : 9. How much is the bigger share? (a) ₹21 (b) ₹84 (c) ₹210 (d) ₹189
  10. 10.Today is Monday. What day of the week will it be after 47 days? (a) Monday (b) Friday (c) Sunday (d) Saturday
  11. 11.If 24 April is a Friday, what day of the week is 19 May? (a) Thursday (b) Wednesday (c) Monday (d) Tuesday
  12. 12.If 5 notebooks cost ₹70, how much do 2 notebooks cost? (a) ₹67 (b) ₹42 (c) ₹140 (d) ₹28
  13. 13.A rectangle is 20 cm long and 5 cm wide. What is its area? (a) 100 sq cm (b) 50 sq cm (c) 120 sq cm (d) 25 sq cm
  14. 14.In how many years will ₹1500 earn ₹660 simple interest at 11% per year? (a) 3 years (b) 5 years (c) 4 years (d) 8 years
  15. 15.A shopkeeper buys a toy for ₹920 and sells it for ₹644. What is his loss percent? (a) 30% (b) 31% (c) 25% (d) 35%
  16. 16.What is 30% of 140? (a) 84 (b) 420 (c) 98 (d) 42
  17. 17.2.68 + 1.8 = ? (a) 4.48 (b) 2.86 (c) 4.38 (d) 4.58
  18. 18.Every pair follows the same rule: 1 : 1, 2 : 8, 5 : 125. What is 3 : ? (a) 3 (b) 47 (c) 27 (d) 28
  19. 19.What is 50% of 940? (a) 471 (b) 470 (c) 940 (d) 4700
  20. 20.Today is Friday. What day of the week will it be after 80 days? (a) Tuesday (b) Monday (c) Sunday (d) Wednesday
  21. 21.What is 2/9 of 90? (a) 70 (b) 30 (c) 20 (d) 10
  22. 22.If 4 August is a Thursday, what day of the week is 16 August? (a) Monday (b) Thursday (c) Wednesday (d) Tuesday
  23. 23.If 8x + 19 = 59, what is x? (a) 6 (b) 40 (c) 5 (d) 4
  24. 24.What is the average of all the whole numbers from 58 to 94? (a) 36 (b) 18 (c) 77 (d) 76
  25. 25.What is 1/2 of 12? (a) 7 (b) 12 (c) 6 (d) 5
  26. 26.What is the smallest number of sweets that can be shared equally among 9 children or among 15 children, with none left over? (a) 24 (b) 45 (c) 135 (d) 90
  27. 27.If 9 pens cost ₹126, how much do 10 pens cost? (a) ₹127 (b) ₹1260 (c) ₹154 (d) ₹140
  28. 28.A rectangle is 10 cm long and 4 cm wide. What is its perimeter? (a) 14 cm (b) 28 cm (c) 40 cm (d) 24 cm
  29. 29.Today is Sunday. What day of the week will it be after 68 days? (a) Thursday (b) Sunday (c) Friday (d) Saturday
  30. 30.Every pair follows the same rule: 6 : 17, 7 : 19, 8 : 21. What is 2 : ? (a) 8 (b) 13 (c) 9 (d) 10
  31. 31.If 17 April is a Sunday, what day of the week is 15 May? (a) Monday (b) Saturday (c) Sunday (d) Tuesday
  32. 32.What is the value of the digit 2 in 73.542? (a) 0.02 (b) 0.2 (c) 2 (d) 0.002
  33. 33.7.57 + 7.7 = ? (a) 15.17 (b) 15.37 (c) 8.34 (d) 15.27
  34. 34.In how many years will ₹6000 earn ₹2640 simple interest at 11% per year? (a) 5 years (b) 4 years (c) 8 years (d) 3 years
  35. 35.A shopkeeper buys a toy for ₹520 and sells it for ₹390. What is his loss percent? (a) 20% (b) 30% (c) 26% (d) 25%
  36. 36.What is 4/5 of 25? (a) 5 (b) 20 (c) 21 (d) 25
  37. 37.Today is Wednesday. What day of the week will it be after 69 days? (a) Tuesday (b) Monday (c) Thursday (d) Wednesday
  38. 38.Which of these numbers is divisible by 6? (a) 2829 (b) 2826 (c) 2837 (d) 2825
  39. 39.8 workers can build a wall in 12 days. How many days will 3 workers take, working at the same speed? (a) 33 days (b) 17 days (c) 7 days (d) 32 days
  40. 40.A rectangle is 8 cm long and 5 cm wide. What is its area? (a) 13 sq cm (b) 40 sq cm (c) 48 sq cm (d) 26 sq cm

Answer key

  1. 24
  2. 50
  3. 50%
  4. 40%
  5. 1896
  6. 56
  7. 40
  8. 28
  9. ₹189
  10. Saturday
  11. Tuesday
  12. ₹28
  13. 100 sq cm
  14. 4 years
  15. 30%
  16. 42
  17. 4.48
  18. 27
  19. 470
  20. Monday
  21. 20
  22. Tuesday
  23. 5
  24. 76
  25. 6
  26. 45
  27. ₹140
  28. 28 cm
  29. Friday
  30. 9
  31. Sunday
  32. 0.002
  33. 15.27
  34. 4 years
  35. 25%
  36. 20
  37. Tuesday
  38. 2826
  39. 32 days
  40. 40 sq cm

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