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Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 854 · 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 the smallest number of sweets that can be shared equally among 12 children or among 14 children, with none left over? (a) 26 (b) 85 (c) 168 (d) 84
  2. 2.If 4 notebooks cost ₹72, how much do 7 notebooks cost? (a) ₹504 (b) ₹75 (c) ₹144 (d) ₹126
  3. 3.7 workers can build a wall in 9 days. How many days will 3 workers take, working at the same speed? (a) 13 days (b) 22 days (c) 5 days (d) 21 days
  4. 4.A batter has an average of 33 runs in 9 matches. How many runs are needed in the next match to raise the average to 37? (a) 73 (b) 40 (c) 37 (d) 41
  5. 5.Two ribbons are 54 cm and 63 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 9 cm (b) 3 cm (c) 378 cm (d) 54 cm
  6. 6.A shopkeeper buys a toy for ₹640 and sells it for ₹960. What is his profit percent? (a) 45% (b) 50% (c) 51% (d) 55%
  7. 7.₹5500 is invested at 5% per year simple interest. What is the amount after 3 years? (a) ₹5775 (b) ₹825 (c) ₹6600 (d) ₹6325
  8. 8.9 workers can build a wall in 12 days. How many days will 2 workers take, working at the same speed? (a) 5 days (b) 55 days (c) 19 days (d) 54 days
  9. 9.The average of 6 numbers is 44. When one number is taken away, the average of the rest is 48. Which number was taken away? (a) 25 (b) 24 (c) 92 (d) 44
  10. 10.What is the units digit of 8^22? (a) 2 (b) 6 (c) 4 (d) 8
  11. 11.Which is the greatest: 0.6, 0.562, 0.64, 0.038? (a) 0.6 (b) 0.562 (c) 0.64 (d) 0.038
  12. 12.What is the value of the digit 4 in 93.641? (a) 0.04 (b) 0.004 (c) 4 (d) 0.4
  13. 13.What is the value of the digit 6 in 39.621? (a) 0.006 (b) 0.06 (c) 6 (d) 0.6
  14. 14.1.04 + 2.1 = ? (a) 1.25 (b) 3.24 (c) 3.04 (d) 3.14
  15. 15.A shopkeeper buys a toy for ₹800 and sells it for ₹720. What is his loss percent? (a) 5% (b) 10% (c) 15% (d) 80%
  16. 16.₹320 is shared between two friends in the ratio 3 : 7. How much is the bigger share? (a) ₹32 (b) ₹224 (c) ₹96 (d) ₹160
  17. 17.Which of these numbers is divisible by 4? (a) 961 (b) 956 (c) 955 (d) 959
  18. 18.What is the smallest number you must add to 389 to make it divisible by 12? (a) 6 (b) 5 (c) 7 (d) 8
  19. 19.A batter has an average of 50 runs in 5 matches. How many runs are needed in the next match to raise the average to 57? (a) 64 (b) 42 (c) 92 (d) 57
  20. 20.What is the smallest number you must add to 301 to make it divisible by 4? (a) 1 (b) 2 (c) 3
  21. 21.In how many years will ₹3000 earn ₹1050 simple interest at 7% per year? (a) 6 years (b) 5 years (c) 10 years (d) 4 years
  22. 22.If 8x − 10 = 14, what is x? (a) 4 (b) 3 (c) 2 (d) 24
  23. 23.What is the value of the digit 1 in 14.568? (a) 0.01 (b) 0.1 (c) 1 (d) 10
  24. 24.What is the smallest number you must add to 180 to make it divisible by 7? (a) 1 (b) 2 (c) 5 (d) 3
  25. 25.Which fraction is greater: 1/5 or 3/8? (a) 1/5 (b) They are equal (c) 3/8
  26. 26.Which is the smallest: 0.7, 0.038, 0.686, 0.72? (a) 0.7 (b) 0.038 (c) 0.686 (d) 0.72
  27. 27.The simple interest on ₹3000 for 4 years is ₹960. What is the rate per year? (a) 32% (b) 8% (c) 9% (d) 7%
  28. 28.If 3 pens cost ₹75, how much do 6 pens cost? (a) ₹175 (b) ₹150 (c) ₹450 (d) ₹78
  29. 29.What is the value of the digit 3 in 61.398? (a) 0.3 (b) 0.003 (c) 0.03 (d) 3
  30. 30.Which fraction is greater: 1/3 or 1/4? (a) 1/4 (b) 1/3 (c) They are equal
  31. 31.1.26 + 7.7 = ? (a) 9.06 (b) 2.03 (c) 8.86 (d) 8.96
  32. 32.Every pair follows the same rule: 2 : 3, 4 : 7, 9 : 17. What is 6 : ? (a) 12 (b) 7 (c) 10 (d) 11
  33. 33.A shopkeeper buys a toy for ₹540 and sells it for ₹513. What is his loss percent? (a) 27% (b) 10% (c) 6% (d) 5%
  34. 34.If 6 December is a Sunday, what day of the week is 19 December? (a) Sunday (b) Friday (c) Saturday (d) Monday
  35. 35.Today is Tuesday. What day of the week will it be after 66 days? (a) Saturday (b) Friday (c) Thursday (d) Sunday
  36. 36.Which fraction is greater: 4/5 or 7/10? (a) 4/5 (b) 7/10 (c) They are equal
  37. 37.A teacher has 12 pencils and 18 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 36 (b) 12 (c) 3 (d) 6
  38. 38.Every pair follows the same rule: 1 : 1, 2 : 8, 4 : 64. What is 3 : ? (a) 27 (b) 28 (c) 3 (d) 36
  39. 39.6 workers can build a wall in 14 days. How many days will 4 workers take, working at the same speed? (a) 16 days (b) 22 days (c) 12 days (d) 21 days
  40. 40.The average of 6 numbers is 43. When one number is taken away, the average of the rest is 44. Which number was taken away? (a) 43 (b) 87 (c) 39 (d) 38

Answer key

  1. 84
  2. ₹126
  3. 21 days
  4. 73
  5. 9 cm
  6. 50%
  7. ₹6325
  8. 54 days
  9. 24
  10. 4
  11. 0.64
  12. 0.04
  13. 0.6
  14. 3.14
  15. 10%
  16. ₹224
  17. 956
  18. 7
  19. 92
  20. 3
  21. 5 years
  22. 3
  23. 10
  24. 2
  25. 3/8
  26. 0.038
  27. 8%
  28. ₹150
  29. 0.3
  30. 1/3
  31. 8.96
  32. 11
  33. 5%
  34. Saturday
  35. Friday
  36. 4/5
  37. 6
  38. 27
  39. 21 days
  40. 38

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