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Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 556 · 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.In how many years will ₹5500 earn ₹1100 simple interest at 10% per year? (a) 4 years (b) 2 years (c) 3 years (d) 1 year
  2. 2.What is the smallest number you must add to 701 to make it divisible by 9? (a) 3 (b) 2 (c) 1 (d) 8
  3. 3.The average of 6 numbers is 46. When one number is taken away, the average of the rest is 45. Which number was taken away? (a) 6 (b) 91 (c) 46 (d) 51
  4. 4.If 5 mangoes cost ₹50, how much do 6 mangoes cost? (a) ₹70 (b) ₹300 (c) ₹51 (d) ₹60
  5. 5.5 workers can build a wall in 4 days. How many days will 4 workers take, working at the same speed? (a) 3 days (b) 4 days (c) 6 days (d) 5 days
  6. 6.Every pair follows the same rule: 1 : 1, 2 : 8, 3 : 27. What is 4 : ? (a) 65 (b) 4 (c) 64 (d) 46
  7. 7.If 8x + 1 = 4x + 41, what is x? (a) 12 (b) 11 (c) 9 (d) 10
  8. 8.Every pair follows the same rule: 4 : 16, 5 : 25, 9 : 81. What is 7 : ? (a) 53 (b) 49 (c) 19 (d) 28
  9. 9.Which of these numbers is divisible by 11? (a) 2310 (b) 2326 (c) 2311 (d) 2309
  10. 10.Today is Sunday. What day of the week will it be after 11 days? (a) Thursday (b) Saturday (c) Wednesday (d) Friday
  11. 11.Today is Thursday. What day of the week will it be after 53 days? (a) Monday (b) Wednesday (c) Sunday (d) Tuesday
  12. 12.Every pair follows the same rule: 2 : 8, 4 : 16, 7 : 28. What is 9 : ? (a) 37 (b) 36 (c) 35 (d) 15
  13. 13.7.61 + 7.9 = ? (a) 15.51 (b) 15.41 (c) 8.4 (d) 15.61
  14. 14.A batter has an average of 58 runs in 6 matches. How many runs are needed in the next match to raise the average to 61? (a) 21 (b) 79 (c) 61 (d) 64
  15. 15.A batter has an average of 54 runs in 9 matches. How many runs are needed in the next match to raise the average to 60? (a) 114 (b) 60 (c) 66 (d) 115
  16. 16.A shopkeeper buys a toy for ₹540 and sells it for ₹648. What is his profit percent? (a) 20% (b) 25% (c) 21% (d) 15%
  17. 17.What is the value of the digit 8 in 61.857? (a) 0.008 (b) 0.08 (c) 0.8 (d) 8
  18. 18.If 4x + 14 = x + 17, what is x? (a) 4 (b) 2 (c) 3 (d) 1
  19. 19.In how many years will ₹5000 earn ₹900 simple interest at 9% per year? (a) 2 years (b) 4 years (c) 3 years (d) 1 year
  20. 20.A shopkeeper buys a toy for ₹520 and sells it for ₹390. What is his loss percent? (a) 30% (b) 20% (c) 25% (d) 26%
  21. 21.Two bells ring every 16 minutes and every 28 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 448 min (b) 44 min (c) 4 min (d) 112 min
  22. 22.What is the value of the digit 7 in 73.194? (a) 7 (b) 0.7 (c) 70 (d) 0.07
  23. 23.What is the simple interest on ₹5500 at 5% per year for 3 years? (a) ₹6325 (b) ₹1100 (c) ₹825 (d) ₹275
  24. 24.3 workers can build a wall in 6 days. How many days will 2 workers take, working at the same speed? (a) 7 days (b) 4 days (c) 5 days (d) 9 days
  25. 25.What is the average of all the whole numbers from 33 to 71? (a) 52 (b) 38 (c) 53 (d) 19
  26. 26.In how many years will ₹9000 earn ₹2520 simple interest at 7% per year? (a) 8 years (b) 3 years (c) 5 years (d) 4 years
  27. 27.Which fraction is greater: 3/10 or 1/11? (a) 1/11 (b) They are equal (c) 3/10
  28. 28.What is the smallest number of sweets that can be shared equally among 8 children or among 12 children, with none left over? (a) 24 (b) 20 (c) 48 (d) 96
  29. 29.A teacher has 22 pencils and 99 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 11 (b) 1 (c) 22 (d) 77
  30. 30.Which of these numbers is divisible by 3? (a) 1154 (b) 1152 (c) 1150 (d) 1157
  31. 31.What is the smallest number you must add to 129 to make it divisible by 4? (a) 2 (b) 1 (c) 3
  32. 32.A square has a perimeter of 24 cm. What is its area? (a) 12 sq cm (b) 36 sq cm (c) 49 sq cm (d) 24 sq cm
  33. 33.Which fraction is greater: 1/12 or 7/9? (a) They are equal (b) 7/9 (c) 1/12
  34. 34.Which is the greatest: 0.7, 0.72, 0.025, 0.651? (a) 0.7 (b) 0.72 (c) 0.025 (d) 0.651
  35. 35.Which fraction is greater: 10/11 or 1/10? (a) 10/11 (b) 1/10 (c) They are equal
  36. 36.Which of these numbers is divisible by 6? (a) 5220 (b) 5222 (c) 5230 (d) 5217
  37. 37.If 15 January is a Tuesday, what day of the week is 28 January? (a) Sunday (b) Tuesday (c) Wednesday (d) Monday
  38. 38.What is the simple interest on ₹8000 at 2% per year for 3 years? (a) ₹480 (b) ₹160 (c) ₹640 (d) ₹8480
  39. 39.Two ribbons are 8 cm and 14 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) 2 cm (c) 1 cm (d) 8 cm
  40. 40.If x/3 + 1 = 11, what is x? (a) 30 (b) 36 (c) 32 (d) 10

Answer key

  1. 2 years
  2. 1
  3. 51
  4. ₹60
  5. 5 days
  6. 64
  7. 10
  8. 49
  9. 2310
  10. Thursday
  11. Monday
  12. 36
  13. 15.51
  14. 79
  15. 114
  16. 20%
  17. 0.8
  18. 1
  19. 2 years
  20. 25%
  21. 112 min
  22. 70
  23. ₹825
  24. 9 days
  25. 52
  26. 4 years
  27. 3/10
  28. 24
  29. 11
  30. 1152
  31. 3
  32. 36 sq cm
  33. 7/9
  34. 0.72
  35. 10/11
  36. 5220
  37. Monday
  38. ₹480
  39. 2 cm
  40. 30

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