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Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 407 · 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 teacher has 24 pencils and 27 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 216 (b) 24 (c) 3 (d) 1
  2. 2.Which is the smallest: 0.047, 0.88, 0.8, 0.747? (a) 0.047 (b) 0.88 (c) 0.8 (d) 0.747
  3. 3.If 8 pens cost ₹88, how much do 12 pens cost? (a) ₹92 (b) ₹143 (c) ₹132 (d) ₹1056
  4. 4.Every pair follows the same rule: 2 : 4, 4 : 8, 6 : 12. What is 7 : ? (a) 14 (b) 15 (c) 9 (d) 13
  5. 5.A rectangle is 9 cm long and 3 cm wide. What is its area? (a) 27 sq cm (b) 36 sq cm (c) 24 sq cm (d) 12 sq cm
  6. 6.What is the simple interest on ₹7000 at 6% per year for 3 years? (a) ₹420 (b) ₹8260 (c) ₹1260 (d) ₹1680
  7. 7.If 3x + 14 = 23, what is x? (a) 4 (b) 9 (c) 2 (d) 3
  8. 8.A rectangle has an area of 98 sq cm and a length of 14 cm. What is its width? (a) 7 cm (b) 8 cm (c) 84 cm (d) 14 cm
  9. 9.If 8 January is a Tuesday, what day of the week is 18 January? (a) Thursday (b) Friday (c) Saturday (d) Sunday
  10. 10.9.63 + 7.7 = ? (a) 17.23 (b) 17.33 (c) 10.4 (d) 17.43
  11. 11.5/9 + 2/3 = ? (a) 10/9 (b) 4/3 (c) 11/9 (d) 7/12
  12. 12.If 5x + 8 = x + 40, what is x? (a) 10 (b) 8 (c) 9 (d) 12
  13. 13.Which fraction is greater: 2/5 or 3/4? (a) They are equal (b) 2/5 (c) 3/4
  14. 14.Two bells ring every 10 minutes and every 15 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 5 min (b) 25 min (c) 30 min (d) 150 min
  15. 15.What is the average of 58, 82, 69 and 63? (a) 69 (b) 70 (c) 68 (d) 67
  16. 16.The average of 6 numbers is 16. When one number is taken away, the average of the rest is 19. Which number was taken away? (a) 16 (b) 35 (c) 2 (d) 1
  17. 17.The simple interest on ₹3500 for 3 years is ₹1260. What is the rate per year? (a) 36% (b) 12% (c) 13% (d) 11%
  18. 18.1/6 + 2/8 = ? (a) 5/12 (b) 3/8 (c) 3/14 (d) 11/24
  19. 19.What is the smallest number you must add to 223 to make it divisible by 8? (a) 1 (b) 7 (c) 2 (d) 3
  20. 20.1/8 + 1/6 = ? (a) 1/3 (b) 1/4 (c) 1/7 (d) 7/24
  21. 21.If 9x + 12 = 8x + 17, what is x? (a) 5 (b) 29 (c) 7 (d) 6
  22. 22.Which is the smallest: 0.492, 0.5, 0.035, 0.53? (a) 0.492 (b) 0.5 (c) 0.035 (d) 0.53
  23. 23.If 9 kites cost ₹153, how much do 6 kites cost? (a) ₹102 (b) ₹150 (c) ₹918 (d) ₹119
  24. 24.A teacher has 15 pencils and 27 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 1 (b) 15 (c) 12 (d) 3
  25. 25.Two ribbons are 44 cm and 99 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) 55 cm (c) 44 cm (d) 11 cm
  26. 26.If 8x + 8 = 6x + 14, what is x? (a) 4 (b) 5 (c) 11 (d) 3
  27. 27.What is 50% of 640? (a) 321 (b) 3200 (c) 320 (d) 640
  28. 28.If 8x + 30 = 86, what is x? (a) 56 (b) 7 (c) 8 (d) 6
  29. 29.₹10000 is invested at 4% per year simple interest. What is the amount after 2 years? (a) ₹11200 (b) ₹10800 (c) ₹10400 (d) ₹800
  30. 30.A shopkeeper buys a toy for ₹540 and sells it for ₹567. What is his profit percent? (a) 27% (b) 5% (c) 6% (d) 10%
  31. 31.If 2x − 12 = 10, what is x? (a) 12 (b) 10 (c) 22 (d) 11
  32. 32.Today is Thursday. What day of the week will it be after 21 days? (a) Friday (b) Saturday (c) Thursday (d) Wednesday
  33. 33.4/7 + 1/7 = ? (a) 4/7 (b) 5/7 (c) 6/7 (d) 5/14
  34. 34.5.87 + 3.3 = ? (a) 9.07 (b) 9.27 (c) 9.17 (d) 6.2
  35. 35.What is the average of all the whole numbers from 26 to 60? (a) 43 (b) 34 (c) 44 (d) 17
  36. 36.₹120 is shared between two friends in the ratio 1 : 3. How much is the bigger share? (a) ₹120 (b) ₹30 (c) ₹60 (d) ₹90
  37. 37.What is the value of the digit 6 in 74.698? (a) 6 (b) 0.6 (c) 0.06 (d) 0.006
  38. 38.A rectangle has an area of 160 sq cm and a length of 16 cm. What is its width? (a) 10 cm (b) 144 cm (c) 11 cm (d) 20 cm
  39. 39.Which fraction is greater: 5/6 or 7/10? (a) They are equal (b) 5/6 (c) 7/10
  40. 40.Which fraction is greater: 1/11 or 3/4? (a) 1/11 (b) 3/4 (c) They are equal

Answer key

  1. 3
  2. 0.047
  3. ₹132
  4. 14
  5. 27 sq cm
  6. ₹1260
  7. 3
  8. 7 cm
  9. Friday
  10. 17.33
  11. 11/9
  12. 8
  13. 3/4
  14. 30 min
  15. 68
  16. 1
  17. 12%
  18. 5/12
  19. 1
  20. 7/24
  21. 5
  22. 0.035
  23. ₹102
  24. 3
  25. 11 cm
  26. 3
  27. 320
  28. 7
  29. ₹10800
  30. 5%
  31. 11
  32. Thursday
  33. 5/7
  34. 9.17
  35. 43
  36. ₹90
  37. 0.6
  38. 10 cm
  39. 5/6
  40. 3/4

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