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Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 903 · 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 5 numbers is 40. When one number is taken away, the average of the rest is 44. Which number was taken away? (a) 25 (b) 84 (c) 40 (d) 24
  2. 2.Which is the greatest: 0.82, 0.061, 0.8, 0.726? (a) 0.82 (b) 0.061 (c) 0.8 (d) 0.726
  3. 3.Two bells ring every 8 minutes and every 28 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 4 min (b) 224 min (c) 36 min (d) 56 min
  4. 4.A rectangle has an area of 140 sq cm and a length of 20 cm. What is its width? (a) 7 cm (b) 120 cm (c) 14 cm (d) 8 cm
  5. 5.If 2x + 11 = 41, what is x? (a) 30 (b) 16 (c) 15 (d) 26
  6. 6.If 7 notebooks cost ₹119, how much do 9 notebooks cost? (a) ₹153 (b) ₹1071 (c) ₹170 (d) ₹121
  7. 7.A rectangle is 9 cm long and 5 cm wide. What is its area? (a) 14 sq cm (b) 45 sq cm (c) 54 sq cm (d) 28 sq cm
  8. 8.A rectangle has an area of 187 sq cm and a length of 17 cm. What is its width? (a) 170 cm (b) 12 cm (c) 22 cm (d) 11 cm
  9. 9.2.06 + 7.5 = ? (a) 9.46 (b) 9.56 (c) 2.81 (d) 9.66
  10. 10.Every pair follows the same rule: 4 : 19, 5 : 20, 9 : 24. What is 8 : ? (a) 25 (b) 22 (c) 23 (d) 24
  11. 11.What is the smallest number you must add to 127 to make it divisible by 4? (a) 3 (b) 1 (c) 2
  12. 12.Every pair follows the same rule: 4 : 14, 7 : 17, 8 : 18. What is 2 : ? (a) 11 (b) 12 (c) 14 (d) 13
  13. 13.A shopkeeper buys a toy for ₹120 and sells it for ₹126. What is his profit percent? (a) 10% (b) 6% (c) 5% (d) 4%
  14. 14.What is 75% of 420? (a) 3150 (b) 105 (c) 630 (d) 315
  15. 15.What is the value of the digit 9 in 75.619? (a) 9 (b) 0.09 (c) 0.009 (d) 0.9
  16. 16.Which of these numbers is divisible by 6? (a) 4327 (b) 4336 (c) 4326 (d) 4324
  17. 17.What is 1/9 of 72? (a) 8 (b) 64 (c) 9 (d) 16
  18. 18.What is 2/5 of 45? (a) 19 (b) 18 (c) 9 (d) 27
  19. 19.7 workers can build a wall in 11 days. How many days will 11 workers take, working at the same speed? (a) 7 days (b) 15 days (c) 8 days (d) 6 days
  20. 20.If 3 May is a Saturday, what day of the week is 11 May? (a) Tuesday (b) Sunday (c) Monday (d) Saturday
  21. 21.A shopkeeper buys a toy for ₹700 and sells it for ₹525. What is his loss percent? (a) 30% (b) 20% (c) 26% (d) 25%
  22. 22.A square has a perimeter of 24 cm. What is its area? (a) 36 sq cm (b) 24 sq cm (c) 49 sq cm (d) 12 sq cm
  23. 23.What is the units digit of 2^59? (a) 4 (b) 2 (c) 8 (d) 6
  24. 24.A bag marked ₹340 is sold at a 20% discount. What is its selling price? (a) ₹320 (b) ₹272 (c) ₹408 (d) ₹68
  25. 25.Today is Saturday. What day of the week will it be after 24 days? (a) Thursday (b) Tuesday (c) Wednesday (d) Monday
  26. 26.A shopkeeper buys a toy for ₹300 and sells it for ₹255. What is his loss percent? (a) 10% (b) 20% (c) 15% (d) 45%
  27. 27.What is the average of 72, 85, 67 and 96? (a) 80 (b) 81 (c) 79 (d) 82
  28. 28.Today is Wednesday. What day of the week will it be after 63 days? (a) Friday (b) Tuesday (c) Thursday (d) Wednesday
  29. 29.A rectangle has an area of 42 sq cm and a length of 14 cm. What is its width? (a) 28 cm (b) 6 cm (c) 4 cm (d) 3 cm
  30. 30.A batter has an average of 30 runs in 3 matches. How many runs are needed in the next match to raise the average to 32? (a) 32 (b) 8 (c) 34 (d) 38
  31. 31.What is the average of all the whole numbers from 38 to 62? (a) 12 (b) 51 (c) 24 (d) 50
  32. 32.What is the average of 75, 63, 82, 87 and 68? (a) 75 (b) 76 (c) 74 (d) 77
  33. 33.A shopkeeper buys a toy for ₹500 and sells it for ₹700. What is his profit percent? (a) 35% (b) 40% (c) 41% (d) 45%
  34. 34.If 4x + 20 = 3x + 26, what is x? (a) 6 (b) 7 (c) 46 (d) 8
  35. 35.Two bells ring every 4 minutes and every 6 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 12 min (b) 24 min (c) 10 min (d) 2 min
  36. 36.Two ribbons are 16 cm and 18 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 144 cm (b) 16 cm (c) 1 cm (d) 2 cm
  37. 37.Two bells ring every 18 minutes and every 24 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 72 min (b) 432 min (c) 42 min (d) 6 min
  38. 38.What is the simple interest on ₹7000 at 11% per year for 3 years? (a) ₹3080 (b) ₹770 (c) ₹2310 (d) ₹9310
  39. 39.A rectangle is 11 cm long and 2 cm wide. What is its area? (a) 33 sq cm (b) 13 sq cm (c) 26 sq cm (d) 22 sq cm
  40. 40.Every pair follows the same rule: 4 : 11, 6 : 13, 7 : 14. What is 2 : ? (a) 9 (b) 10 (c) 8 (d) 11

Answer key

  1. 24
  2. 0.82
  3. 56 min
  4. 7 cm
  5. 15
  6. ₹153
  7. 45 sq cm
  8. 11 cm
  9. 9.56
  10. 23
  11. 1
  12. 12
  13. 5%
  14. 315
  15. 0.009
  16. 4326
  17. 8
  18. 18
  19. 7 days
  20. Sunday
  21. 25%
  22. 36 sq cm
  23. 8
  24. ₹272
  25. Tuesday
  26. 15%
  27. 80
  28. Wednesday
  29. 3 cm
  30. 38
  31. 50
  32. 75
  33. 40%
  34. 6
  35. 12 min
  36. 2 cm
  37. 72 min
  38. ₹2310
  39. 22 sq cm
  40. 9

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