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Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 193 · 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.A shopkeeper buys a toy for ₹880 and sells it for ₹748. What is his loss percent? (a) 20% (b) 15% (c) 10% (d) 16%
  2. 2.Two ribbons are 25 cm and 30 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 150 cm (b) 1 cm (c) 5 cm (d) 25 cm
  3. 3.What is 4/9 of 108? (a) 60 (b) 48 (c) 49 (d) 12
  4. 4.If 3x − 37 = 5, what is x? (a) 13 (b) 42 (c) 14 (d) 15
  5. 5.If 5x − 11 = 54, what is x? (a) 13 (b) 12 (c) 65 (d) 14
  6. 6.₹75 is shared between two friends in the ratio 1 : 4. How much is the bigger share? (a) ₹15 (b) ₹75 (c) ₹61 (d) ₹60
  7. 7.What is the value of the digit 4 in 91.534? (a) 4 (b) 0.04 (c) 0.4 (d) 0.004
  8. 8.Today is Saturday. What day of the week will it be after 53 days? (a) Tuesday (b) Friday (c) Wednesday (d) Thursday
  9. 9.What is 1/8 of 64? (a) 8 (b) 56 (c) 9 (d) 16
  10. 10.What is the remainder when 65 is divided by 3? (a) 0 (b) 1 (c) 2
  11. 11.Every pair follows the same rule: 4 : 7, 6 : 11, 9 : 17. What is 7 : ? (a) 10 (b) 12 (c) 13 (d) 14
  12. 12.Two bells ring every 6 minutes and every 8 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 2 min (b) 48 min (c) 14 min (d) 24 min
  13. 13.Two ribbons are 27 cm and 36 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) 27 cm (c) 3 cm (d) 108 cm
  14. 14.A rectangle is 9 cm long and 8 cm wide. What is its area? (a) 81 sq cm (b) 17 sq cm (c) 72 sq cm (d) 34 sq cm
  15. 15.Which is the greatest: 0.328, 0.4, 0.44, 0.063? (a) 0.328 (b) 0.4 (c) 0.44 (d) 0.063
  16. 16.Today is Saturday. What day of the week will it be after 16 days? (a) Wednesday (b) Monday (c) Sunday (d) Tuesday
  17. 17.If 3x + 18 = 2x + 27, what is x? (a) 45 (b) 9 (c) 11 (d) 10
  18. 18.The average of 7 numbers is 35. When one number is taken away, the average of the rest is 40. Which number was taken away? (a) 35 (b) 6 (c) 75 (d) 5
  19. 19.The average of 4 numbers is 46. When one number is taken away, the average of the rest is 42. Which number was taken away? (a) 16 (b) 88 (c) 46 (d) 58
  20. 20.A square has a perimeter of 36 cm. What is its area? (a) 100 sq cm (b) 18 sq cm (c) 36 sq cm (d) 81 sq cm
  21. 21.What is the average of 33, 19, 42, 36 and 20? (a) 30 (b) 29 (c) 32 (d) 31
  22. 22.What is the remainder when 290 is divided by 4? (a) 3 (b) 1 (c) 2 (d) 0
  23. 23.A teacher has 10 pencils and 16 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 1 (b) 10 (c) 6 (d) 2
  24. 24.If 2x − 7 = 7, what is x? (a) 14 (b) 6 (c) 8 (d) 7
  25. 25.6.09 + 3.1 = ? (a) 9.29 (b) 9.09 (c) 6.4 (d) 9.19
  26. 26.2/3 + 1/3 = ? (a) 4/3 (b) 1 (c) 2/3 (d) 1/2
  27. 27.If x/2 + 13 = 17, what is x? (a) 21 (b) 8 (c) 4 (d) 60
  28. 28.If 4 mangoes cost ₹64, how much do 10 mangoes cost? (a) ₹70 (b) ₹160 (c) ₹640 (d) ₹176
  29. 29.What is the simple interest on ₹2000 at 9% per year for 2 years? (a) ₹180 (b) ₹2360 (c) ₹360 (d) ₹540
  30. 30.What is the value of the digit 6 in 14.628? (a) 6 (b) 0.6 (c) 0.006 (d) 0.06
  31. 31.Today is Sunday. What day of the week will it be after 35 days? (a) Tuesday (b) Monday (c) Sunday (d) Saturday
  32. 32.What is the remainder when 81 is divided by 5? (a) 1 (b) 2 (c) 4 (d) 0
  33. 33.What is the units digit of 7^54? (a) 7 (b) 3 (c) 1 (d) 9
  34. 34.A teacher has 56 pencils and 63 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 1 (b) 504 (c) 56 (d) 7
  35. 35.What is 5% of 540? (a) 27 (b) 270 (c) 513 (d) 54
  36. 36.If 6x + 4 = 5x + 5, what is x? (a) 2 (b) 3 (c) 1 (d) 9
  37. 37.A shopkeeper buys a toy for ₹340 and sells it for ₹323. What is his loss percent? (a) 6% (b) 17% (c) 5% (d) 10%
  38. 38.A bag marked ₹1980 is sold at a 15% discount. What is its selling price? (a) ₹1683 (b) ₹1965 (c) ₹2277 (d) ₹297
  39. 39.A shopkeeper buys a toy for ₹200 and sells it for ₹300. What is his profit percent? (a) 45% (b) 51% (c) 55% (d) 50%
  40. 40.If 6x − 50 = 40, what is x? (a) 90 (b) 14 (c) 15 (d) 16

Answer key

  1. 15%
  2. 5 cm
  3. 48
  4. 14
  5. 13
  6. ₹60
  7. 0.004
  8. Wednesday
  9. 8
  10. 2
  11. 13
  12. 24 min
  13. 9 cm
  14. 72 sq cm
  15. 0.44
  16. Monday
  17. 9
  18. 5
  19. 58
  20. 81 sq cm
  21. 30
  22. 2
  23. 2
  24. 7
  25. 9.19
  26. 1
  27. 8
  28. ₹160
  29. ₹360
  30. 0.6
  31. Sunday
  32. 1
  33. 9
  34. 7
  35. 27
  36. 1
  37. 5%
  38. ₹1683
  39. 50%
  40. 15

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