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Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 115 · 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 simple interest on ₹6000 at 4% per year for 2 years? (a) ₹240 (b) ₹6480 (c) ₹480 (d) ₹720
  2. 2.6 workers can build a wall in 14 days. How many days will 12 workers take, working at the same speed? (a) 8 days (b) 7 days (c) 20 days (d) 28 days
  3. 3.What is the units digit of 3^50? (a) 9 (b) 7 (c) 1 (d) 3
  4. 4.Every pair follows the same rule: 5 : 24, 6 : 35, 8 : 63. What is 9 : ? (a) 28 (b) 77 (c) 81 (d) 80
  5. 5.What is the value of the digit 3 in 31.496? (a) 0.3 (b) 3 (c) 30 (d) 0.03
  6. 6.Which of these numbers is divisible by 9? (a) 7494 (b) 7481 (c) 7471 (d) 7479
  7. 7.What is 4/7 of 56? (a) 32 (b) 40 (c) 8 (d) 24
  8. 8.What is 50% of 500? (a) 2500 (b) 500 (c) 250 (d) 251
  9. 9.Two bells ring every 8 minutes and every 28 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 56 min (b) 4 min (c) 224 min (d) 36 min
  10. 10.What is the value of the digit 1 in 13.478? (a) 10 (b) 1 (c) 0.01 (d) 0.1
  11. 11.1/4 + 1/9 = ? (a) 7/18 (b) 13/36 (c) 1/3 (d) 2/13
  12. 12.A rectangle is 6 cm long and 3 cm wide. What is its perimeter? (a) 9 cm (b) 15 cm (c) 19 cm (d) 18 cm
  13. 13.Today is Sunday. What day of the week will it be after 22 days? (a) Tuesday (b) Wednesday (c) Sunday (d) Monday
  14. 14.A batter has an average of 60 runs in 3 matches. How many runs are needed in the next match to raise the average to 64? (a) 68 (b) 64 (c) 16 (d) 76
  15. 15.What is 6/7 of 14? (a) 13 (b) 12 (c) 2 (d) 14
  16. 16.Two ribbons are 6 cm and 16 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 10 cm (b) 2 cm (c) 6 cm (d) 1 cm
  17. 17.If 7 kites cost ₹126, how much do 10 kites cost? (a) ₹129 (b) ₹1260 (c) ₹198 (d) ₹180
  18. 18.What is the remainder when 298 is divided by 5? (a) 3 (b) 1 (c) 4 (d) 2
  19. 19.In how many years will ₹3000 earn ₹600 simple interest at 5% per year? (a) 5 years (b) 3 years (c) 4 years (d) 8 years
  20. 20.Every pair follows the same rule: 2 : 4, 6 : 12, 9 : 18. What is 8 : ? (a) 15 (b) 17 (c) 10 (d) 16
  21. 21.If 10 January is a Sunday, what day of the week is 3 February? (a) Thursday (b) Wednesday (c) Friday (d) Tuesday
  22. 22.A teacher has 40 pencils and 56 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 4 (b) 40 (c) 8 (d) 16
  23. 23.What is the average of 10, 10, 12 and 52? (a) 21 (b) 28 (c) 20 (d) 22
  24. 24.Every pair follows the same rule: 3 : 24, 6 : 48, 9 : 72. What is 5 : ? (a) 40 (b) 26 (c) 39 (d) 41
  25. 25.What is the average of all the whole numbers from 21 to 55? (a) 39 (b) 34 (c) 17 (d) 38
  26. 26.If 2 pens cost ₹14, how much do 5 pens cost? (a) ₹42 (b) ₹70 (c) ₹17 (d) ₹35
  27. 27.3 workers can build a wall in 14 days. How many days will 2 workers take, working at the same speed? (a) 22 days (b) 15 days (c) 13 days (d) 21 days
  28. 28.What is the smallest number you must add to 561 to make it divisible by 12? (a) 9 (b) 2 (c) 4 (d) 3
  29. 29.What is the value of the digit 9 in 74.869? (a) 9 (b) 0.009 (c) 0.09 (d) 0.9
  30. 30.₹270 is shared between two friends in the ratio 4 : 5. How much is the bigger share? (a) ₹150 (b) ₹120 (c) ₹30 (d) ₹135
  31. 31.Which fraction is greater: 2/3 or 1/9? (a) 2/3 (b) They are equal (c) 1/9
  32. 32.The average of 8 numbers is 29. When one number is taken away, the average of the rest is 28. Which number was taken away? (a) 57 (b) 29 (c) 8 (d) 36
  33. 33.A shopkeeper buys a toy for ₹300 and sells it for ₹240. What is his loss percent? (a) 15% (b) 60% (c) 20% (d) 25%
  34. 34.Two ribbons are 8 cm and 28 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 2 cm (b) 20 cm (c) 8 cm (d) 4 cm
  35. 35.A rectangle is 6 cm long and 5 cm wide. What is its perimeter? (a) 11 cm (b) 17 cm (c) 30 cm (d) 22 cm
  36. 36.What is the value of the digit 4 in 91.254? (a) 0.04 (b) 0.004 (c) 4 (d) 0.4
  37. 37.A square has a perimeter of 56 cm. What is its area? (a) 225 sq cm (b) 56 sq cm (c) 196 sq cm (d) 28 sq cm
  38. 38.₹160 is shared between two friends in the ratio 1 : 3. How much is the bigger share? (a) ₹160 (b) ₹80 (c) ₹40 (d) ₹120
  39. 39.Every pair follows the same rule: 4 : 24, 5 : 25, 6 : 26. What is 9 : ? (a) 54 (b) 30 (c) 28 (d) 29
  40. 40.Every pair follows the same rule: 1 : 1, 4 : 64, 6 : 216. What is 3 : ? (a) 27 (b) 26 (c) 28 (d) 3

Answer key

  1. ₹480
  2. 7 days
  3. 9
  4. 80
  5. 30
  6. 7479
  7. 32
  8. 250
  9. 56 min
  10. 10
  11. 13/36
  12. 18 cm
  13. Monday
  14. 76
  15. 12
  16. 2 cm
  17. ₹180
  18. 3
  19. 4 years
  20. 16
  21. Wednesday
  22. 8
  23. 21
  24. 40
  25. 38
  26. ₹35
  27. 21 days
  28. 3
  29. 0.009
  30. ₹150
  31. 2/3
  32. 36
  33. 20%
  34. 4 cm
  35. 22 cm
  36. 0.004
  37. 196 sq cm
  38. ₹120
  39. 29
  40. 27

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