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Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 323 · 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 3/7 of 84? (a) 12 (b) 48 (c) 36 (d) 37
  2. 2.The average of 6 numbers is 29. When one number is taken away, the average of the rest is 31. Which number was taken away? (a) 29 (b) 20 (c) 60 (d) 19
  3. 3.Which of these numbers is divisible by 8? (a) 6297 (b) 6296 (c) 6292 (d) 6305
  4. 4.A rectangle is 8 cm long and 6 cm wide. What is its perimeter? (a) 14 cm (b) 22 cm (c) 48 cm (d) 28 cm
  5. 5.What is 50% of 760? (a) 3800 (b) 760 (c) 381 (d) 380
  6. 6.In how many years will ₹6500 earn ₹650 simple interest at 5% per year? (a) 3 years (b) 4 years (c) 2 years (d) 1 year
  7. 7.What is 60% of 700? (a) 280 (b) 4200 (c) 840 (d) 420
  8. 8.Every pair follows the same rule: 3 : 16, 5 : 32, 9 : 88. What is 4 : ? (a) 24 (b) 23 (c) 17 (d) 18
  9. 9.Two bells ring every 15 minutes and every 25 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 5 min (b) 40 min (c) 375 min (d) 75 min
  10. 10.A bag marked ₹1680 is sold at a 40% discount. What is its selling price? (a) ₹672 (b) ₹2352 (c) ₹1008 (d) ₹1640
  11. 11.If 7 March is a Monday, what day of the week is 18 March? (a) Saturday (b) Thursday (c) Friday (d) Sunday
  12. 12.If 21 August is a Monday, what day of the week is 11 September? (a) Monday (b) Wednesday (c) Sunday (d) Tuesday
  13. 13.If 9x + 9 = 90, what is x? (a) 11 (b) 9 (c) 81 (d) 10
  14. 14.What is 7/9 of 63? (a) 56 (b) 14 (c) 7 (d) 49
  15. 15.If 2 mangoes cost ₹6, how much do 11 mangoes cost? (a) ₹36 (b) ₹33 (c) ₹66 (d) ₹15
  16. 16.What is 1/5 of 10? (a) 4 (b) 8 (c) 3 (d) 2
  17. 17.Every pair follows the same rule: 3 : 12, 4 : 16, 9 : 36. What is 8 : ? (a) 17 (b) 31 (c) 32 (d) 33
  18. 18.4.13 + 8.9 = ? (a) 5.02 (b) 12.93 (c) 13.03 (d) 13.13
  19. 19.A rectangle has an area of 96 sq cm and a length of 12 cm. What is its width? (a) 16 cm (b) 8 cm (c) 9 cm (d) 84 cm
  20. 20.Which is the smallest: 0.57, 0.5, 0.045, 0.413? (a) 0.57 (b) 0.5 (c) 0.045 (d) 0.413
  21. 21.A square has a perimeter of 24 cm. What is its area? (a) 49 sq cm (b) 12 sq cm (c) 36 sq cm (d) 24 sq cm
  22. 22.What is 30% of 480? (a) 336 (b) 144 (c) 1440 (d) 288
  23. 23.Every pair follows the same rule: 4 : 16, 6 : 36, 7 : 49. What is 8 : ? (a) 20 (b) 64 (c) 62 (d) 32
  24. 24.Every pair follows the same rule: 1 : 1, 3 : 27, 6 : 216. What is 4 : ? (a) 65 (b) 64 (c) 90 (d) 4
  25. 25.If 5 kites cost ₹65, how much do 7 kites cost? (a) ₹91 (b) ₹104 (c) ₹455 (d) ₹67
  26. 26.A teacher has 21 pencils and 56 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 35 (b) 7 (c) 1 (d) 21
  27. 27.If 7x + 11 = 46, what is x? (a) 5 (b) 35 (c) 4 (d) 6
  28. 28.Two ribbons are 6 cm and 15 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) 3 cm (c) 9 cm (d) 6 cm
  29. 29.A rectangle is 13 cm long and 6 cm wide. What is its perimeter? (a) 19 cm (b) 78 cm (c) 32 cm (d) 38 cm
  30. 30.If 2x − 9 = 9, what is x? (a) 9 (b) 10 (c) 18 (d) 8
  31. 31.A bag marked ₹1320 is sold at a 20% discount. What is its selling price? (a) ₹264 (b) ₹1300 (c) ₹1056 (d) ₹1584
  32. 32.A batter has an average of 22 runs in 8 matches. How many runs are needed in the next match to raise the average to 24? (a) 18 (b) 24 (c) 26 (d) 40
  33. 33.7.24 + 2.5 = ? (a) 7.49 (b) 9.64 (c) 9.84 (d) 9.74
  34. 34.Today is Tuesday. What day of the week will it be after 100 days? (a) Friday (b) Saturday (c) Thursday (d) Wednesday
  35. 35.What is 50% of 180? (a) 900 (b) 91 (c) 90 (d) 180
  36. 36.What is the value of the digit 2 in 92.714? (a) 0.02 (b) 20 (c) 2 (d) 0.2
  37. 37.If 13 May is a Saturday, what day of the week is 26 May? (a) Thursday (b) Sunday (c) Friday (d) Saturday
  38. 38.If 9 October is a Thursday, what day of the week is 22 October? (a) Wednesday (b) Friday (c) Tuesday (d) Thursday
  39. 39.A bag marked ₹1900 is sold at a 10% discount. What is its selling price? (a) ₹1890 (b) ₹2090 (c) ₹190 (d) ₹1710
  40. 40.If 5 mangoes cost ₹75, how much do 6 mangoes cost? (a) ₹450 (b) ₹105 (c) ₹76 (d) ₹90

Answer key

  1. 36
  2. 19
  3. 6296
  4. 28 cm
  5. 380
  6. 2 years
  7. 420
  8. 23
  9. 75 min
  10. ₹1008
  11. Friday
  12. Monday
  13. 9
  14. 49
  15. ₹33
  16. 2
  17. 32
  18. 13.03
  19. 8 cm
  20. 0.045
  21. 36 sq cm
  22. 144
  23. 64
  24. 64
  25. ₹91
  26. 7
  27. 5
  28. 3 cm
  29. 38 cm
  30. 9
  31. ₹1056
  32. 40
  33. 9.74
  34. Thursday
  35. 90
  36. 2
  37. Friday
  38. Wednesday
  39. ₹1710
  40. ₹90

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