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Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 942 · 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.If 8 kites cost ₹160, how much do 11 kites cost? (a) ₹163 (b) ₹240 (c) ₹220 (d) ₹1760
  2. 2.Which fraction is greater: 4/5 or 7/10? (a) 4/5 (b) 7/10 (c) They are equal
  3. 3.Every pair follows the same rule: 6 : 35, 8 : 63, 9 : 80. What is 5 : ? (a) 25 (b) 12 (c) 24 (d) 34
  4. 4.1/3 + 3/4 = ? (a) 7/6 (b) 4/7 (c) 13/12 (d) 1
  5. 5.A square has a perimeter of 24 cm. What is its area? (a) 24 sq cm (b) 36 sq cm (c) 49 sq cm (d) 12 sq cm
  6. 6.₹4000 is invested at 9% per year simple interest. What is the amount after 3 years? (a) ₹4360 (b) ₹1080 (c) ₹5440 (d) ₹5080
  7. 7.A batter has an average of 59 runs in 6 matches. How many runs are needed in the next match to raise the average to 63? (a) 67 (b) 87 (c) 28 (d) 63
  8. 8.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) 60 (c) 12 (d) 3
  9. 9.If 8 kites cost ₹32, how much do 9 kites cost? (a) ₹288 (b) ₹33 (c) ₹40 (d) ₹36
  10. 10.What is the units digit of 7^53? (a) 7 (b) 9 (c) 3 (d) 1
  11. 11.What is 1/2 of 6? (a) 4 (b) 6 (c) 2 (d) 3
  12. 12.What is 60% of 240? (a) 1440 (b) 96 (c) 144 (d) 288
  13. 13.What is the remainder when 871 is divided by 12? (a) 8 (b) 7 (c) 5 (d) 6
  14. 14.A rectangle has an area of 60 sq cm and a length of 15 cm. What is its width? (a) 8 cm (b) 4 cm (c) 5 cm (d) 45 cm
  15. 15.What is the smallest number of sweets that can be shared equally among 18 children or among 21 children, with none left over? (a) 252 (b) 378 (c) 126 (d) 39
  16. 16.8 workers can build a wall in 6 days. How many days will 4 workers take, working at the same speed? (a) 12 days (b) 2 days (c) 3 days (d) 10 days
  17. 17.1/3 + 1/2 = ? (a) 2/3 (b) 5/6 (c) 1 (d) 2/5
  18. 18.What is 2/3 of 18? (a) 12 (b) 6 (c) 18 (d) 13
  19. 19.Which fraction is greater: 5/6 or 1/8? (a) They are equal (b) 1/8 (c) 5/6
  20. 20.If 8x + 5 = 3x + 45, what is x? (a) 9 (b) 10 (c) 8 (d) 7
  21. 21.Which fraction is greater: 1/6 or 1/11? (a) 1/6 (b) 1/11 (c) They are equal
  22. 22.If 8x + 17 = 4x + 37, what is x? (a) 6 (b) 4 (c) 5 (d) 7
  23. 23.What is the simple interest on ₹2000 at 4% per year for 4 years? (a) ₹400 (b) ₹320 (c) ₹2320 (d) ₹80
  24. 24.Which fraction is greater: 1/3 or 2/7? (a) 1/3 (b) They are equal (c) 2/7
  25. 25.In how many years will ₹5500 earn ₹550 simple interest at 5% per year? (a) 3 years (b) 4 years (c) 1 year (d) 2 years
  26. 26.A teacher has 33 pencils and 88 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 33 (b) 55 (c) 1 (d) 11
  27. 27.A batter has an average of 22 runs in 5 matches. How many runs are needed in the next match to raise the average to 27? (a) 27 (b) 32 (c) 52 (d) 30
  28. 28.6 workers can build a wall in 4 days. How many days will 3 workers take, working at the same speed? (a) 2 days (b) 7 days (c) 8 days (d) 1 day
  29. 29.What is the average of all the whole numbers from 31 to 61? (a) 15 (b) 46 (c) 47 (d) 30
  30. 30.If 5 mangoes cost ₹75, how much do 3 mangoes cost? (a) ₹225 (b) ₹60 (c) ₹73 (d) ₹45
  31. 31.Which of these numbers is divisible by 9? (a) 832 (b) 828 (c) 823 (d) 843
  32. 32.₹360 is shared between two friends in the ratio 4 : 5. How much is the bigger share? (a) ₹180 (b) ₹160 (c) ₹200 (d) ₹40
  33. 33.A rectangle is 6 cm long and 4 cm wide. What is its perimeter? (a) 16 cm (b) 24 cm (c) 10 cm (d) 20 cm
  34. 34.1.72 + 9.5 = ? (a) 11.22 (b) 11.32 (c) 2.67 (d) 11.12
  35. 35.If 2 July is a Wednesday, what day of the week is 12 July? (a) Friday (b) Saturday (c) Monday (d) Sunday
  36. 36.What is 1/5 of 55? (a) 22 (b) 44 (c) 12 (d) 11
  37. 37.What is the remainder when 320 is divided by 6? (a) 3 (b) 2 (c) 1 (d) 4
  38. 38.Two ribbons are 14 cm and 35 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 1 cm (b) 21 cm (c) 7 cm (d) 14 cm
  39. 39.A rectangle is 10 cm long and 3 cm wide. What is its perimeter? (a) 13 cm (b) 30 cm (c) 26 cm (d) 23 cm
  40. 40.A shopkeeper buys a toy for ₹340 and sells it for ₹306. What is his loss percent? (a) 15% (b) 34% (c) 5% (d) 10%

Answer key

  1. ₹220
  2. 4/5
  3. 24
  4. 13/12
  5. 36 sq cm
  6. ₹5080
  7. 87
  8. 3
  9. ₹36
  10. 7
  11. 3
  12. 144
  13. 7
  14. 4 cm
  15. 126
  16. 12 days
  17. 5/6
  18. 12
  19. 5/6
  20. 8
  21. 1/6
  22. 5
  23. ₹320
  24. 1/3
  25. 2 years
  26. 11
  27. 52
  28. 8 days
  29. 46
  30. ₹45
  31. 828
  32. ₹200
  33. 20 cm
  34. 11.22
  35. Saturday
  36. 11
  37. 2
  38. 7 cm
  39. 26 cm
  40. 10%

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