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Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 877 · 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.The average of 8 numbers is 25. When one number is taken away, the average of the rest is 20. Which number was taken away? (a) 40 (b) 60 (c) 25 (d) 45
  2. 2.If 7 kites cost ₹49, how much do 5 kites cost? (a) ₹42 (b) ₹35 (c) ₹47 (d) ₹245
  3. 3.If 2 May is a Wednesday, what day of the week is 11 May? (a) Saturday (b) Sunday (c) Thursday (d) Friday
  4. 4.In how many years will ₹7000 earn ₹2310 simple interest at 11% per year? (a) 3 years (b) 2 years (c) 6 years (d) 4 years
  5. 5.Two ribbons are 25 cm and 45 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 25 cm (b) 5 cm (c) 20 cm (d) 1 cm
  6. 6.A batter has an average of 53 runs in 3 matches. How many runs are needed in the next match to raise the average to 57? (a) 57 (b) 61 (c) 16 (d) 69
  7. 7.A bag marked ₹1500 is sold at a 20% discount. What is its selling price? (a) ₹1800 (b) ₹300 (c) ₹1480 (d) ₹1200
  8. 8.2.05 + 8.1 = ? (a) 10.25 (b) 10.05 (c) 10.15 (d) 2.86
  9. 9.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) 90 (c) 135 (d) 45
  10. 10.What is the average of 15, 32, 19, 27, 14 and 19? (a) 21 (b) 20 (c) 22 (d) 23
  11. 11.Two bells ring every 12 minutes and every 14 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 168 min (b) 2 min (c) 26 min (d) 84 min
  12. 12.Which fraction is greater: 1/4 or 5/8? (a) 1/4 (b) 5/8 (c) They are equal
  13. 13.What is 4/5 of 60? (a) 48 (b) 49 (c) 60 (d) 12
  14. 14.A batter has an average of 44 runs in 3 matches. How many runs are needed in the next match to raise the average to 48? (a) 16 (b) 48 (c) 60 (d) 52
  15. 15.A teacher has 12 pencils and 15 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 1 (b) 12 (c) 60 (d) 3
  16. 16.What is the remainder when 666 is divided by 11? (a) 7 (b) 5 (c) 8 (d) 6
  17. 17.₹7000 is invested at 5% per year simple interest. What is the amount after 2 years? (a) ₹7700 (b) ₹7350 (c) ₹8050 (d) ₹700
  18. 18.A bag marked ₹1180 is sold at a 10% discount. What is its selling price? (a) ₹1298 (b) ₹118 (c) ₹1062 (d) ₹1170
  19. 19.A bag marked ₹540 is sold at a 50% discount. What is its selling price? (a) ₹810 (b) ₹270 (c) ₹271 (d) ₹490
  20. 20.Every pair follows the same rule: 4 : 11, 7 : 20, 9 : 26. What is 6 : ? (a) 13 (b) 18 (c) 17 (d) 16
  21. 21.₹378 is shared between two friends in the ratio 4 : 5. How much is the bigger share? (a) ₹189 (b) ₹42 (c) ₹210 (d) ₹168
  22. 22.If 10 July is a Tuesday, what day of the week is 22 July? (a) Monday (b) Tuesday (c) Sunday (d) Saturday
  23. 23.What is 75% of 560? (a) 840 (b) 420 (c) 4200 (d) 140
  24. 24.If 6x + 6 = 2x + 22, what is x? (a) 5 (b) 4 (c) 2 (d) 7
  25. 25.What is the smallest number of sweets that can be shared equally among 10 children or among 25 children, with none left over? (a) 100 (b) 35 (c) 250 (d) 50
  26. 26.In how many years will ₹9500 earn ₹3420 simple interest at 12% per year? (a) 4 years (b) 2 years (c) 3 years (d) 6 years
  27. 27.What is the units digit of 4^50? (a) 4 (b) 7 (c) 5 (d) 6
  28. 28.What is the simple interest on ₹4500 at 10% per year for 5 years? (a) ₹2250 (b) ₹450 (c) ₹2700 (d) ₹6750
  29. 29.Every pair follows the same rule: 3 : 5, 8 : 20, 9 : 23. What is 2 : ? (a) 2 (b) 4 (c) 1 (d) 3
  30. 30.Every pair follows the same rule: 3 : 14, 6 : 17, 8 : 19. What is 2 : ? (a) 15 (b) 12 (c) 13 (d) 14
  31. 31.6 workers can build a wall in 6 days. How many days will 4 workers take, working at the same speed? (a) 10 days (b) 4 days (c) 8 days (d) 9 days
  32. 32.Which of these numbers is divisible by 9? (a) 2344 (b) 2349 (c) 2350 (d) 2364
  33. 33.Every pair follows the same rule: 3 : 11, 4 : 14, 9 : 29. What is 5 : ? (a) 18 (b) 17 (c) 16 (d) 13
  34. 34.Every pair follows the same rule: 2 : 5, 3 : 8, 6 : 17. What is 9 : ? (a) 27 (b) 26 (c) 25 (d) 12
  35. 35.₹4500 is invested at 6% per year simple interest. What is the amount after 4 years? (a) ₹5850 (b) ₹5580 (c) ₹4770 (d) ₹1080
  36. 36.9 workers can build a wall in 5 days. How many days will 3 workers take, working at the same speed? (a) 11 days (b) 16 days (c) 15 days (d) 14 days
  37. 37.If 3x + 14 = x + 36, what is x? (a) 11 (b) 12 (c) 25 (d) 13
  38. 38.What is the average of 10, 17, 11, 26 and 41? (a) 21 (b) 22 (c) 20 (d) 23
  39. 39.In how many years will ₹2000 earn ₹400 simple interest at 4% per year? (a) 4 years (b) 5 years (c) 10 years (d) 6 years
  40. 40.What is the smallest number of sweets that can be shared equally among 10 children or among 14 children, with none left over? (a) 24 (b) 140 (c) 71 (d) 70

Answer key

  1. 60
  2. ₹35
  3. Friday
  4. 3 years
  5. 5 cm
  6. 69
  7. ₹1200
  8. 10.15
  9. 45
  10. 21
  11. 84 min
  12. 5/8
  13. 48
  14. 60
  15. 3
  16. 6
  17. ₹7700
  18. ₹1062
  19. ₹270
  20. 17
  21. ₹210
  22. Sunday
  23. 420
  24. 4
  25. 50
  26. 3 years
  27. 6
  28. ₹2250
  29. 2
  30. 13
  31. 9 days
  32. 2349
  33. 17
  34. 26
  35. ₹5580
  36. 15 days
  37. 11
  38. 21
  39. 5 years
  40. 70

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