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Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 980 · 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 bag marked ₹800 is sold at a 25% discount. What is its selling price? (a) ₹200 (b) ₹1000 (c) ₹600 (d) ₹775
  2. 2.A rectangle is 18 cm long and 11 cm wide. What is its area? (a) 58 sq cm (b) 216 sq cm (c) 198 sq cm (d) 29 sq cm
  3. 3.The average of 6 numbers is 18. When one number is taken away, the average of the rest is 15. Which number was taken away? (a) 32 (b) 33 (c) 18 (d) 34
  4. 4.₹198 is shared between two friends in the ratio 5 : 6. How much is the bigger share? (a) ₹90 (b) ₹108 (c) ₹18 (d) ₹99
  5. 5.If 3 mangoes cost ₹60, how much do 2 mangoes cost? (a) ₹60 (b) ₹40 (c) ₹120 (d) ₹59
  6. 6.The average of 7 numbers is 22. When one number is taken away, the average of the rest is 18. Which number was taken away? (a) 22 (b) 28 (c) 40 (d) 46
  7. 7.Which is the smallest: 0.036, 0.8, 0.721, 0.82? (a) 0.036 (b) 0.8 (c) 0.721 (d) 0.82
  8. 8.The average of 7 numbers is 26. When one number is taken away, the average of the rest is 21. Which number was taken away? (a) 56 (b) 26 (c) 35 (d) 47
  9. 9.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) 224 min (b) 4 min (c) 56 min (d) 36 min
  10. 10.If x/5 + 8 = 19, what is x? (a) 55 (b) 11 (c) 135 (d) 87
  11. 11.If 4x − 9 = 7, what is x? (a) 3 (b) 5 (c) 16 (d) 4
  12. 12.Every pair follows the same rule: 3 : 11, 6 : 38, 9 : 83. What is 7 : ? (a) 15 (b) 53 (c) 52 (d) 51
  13. 13.If 3x + 17 = x + 33, what is x? (a) 8 (b) 9 (c) 4 (d) 25
  14. 14.A shopkeeper buys a toy for ₹600 and sells it for ₹480. What is his loss percent? (a) 25% (b) 21% (c) 15% (d) 20%
  15. 15.If 3 kites cost ₹24, how much do 11 kites cost? (a) ₹88 (b) ₹96 (c) ₹264 (d) ₹32
  16. 16.A shopkeeper buys a toy for ₹280 and sells it for ₹238. What is his loss percent? (a) 20% (b) 15% (c) 10% (d) 42%
  17. 17.Every pair follows the same rule: 1 : 1, 2 : 8, 6 : 216. What is 3 : ? (a) 28 (b) 60 (c) 27 (d) 3
  18. 18.Every pair follows the same rule: 2 : 14, 6 : 18, 9 : 21. What is 5 : ? (a) 17 (b) 16 (c) 35 (d) 18
  19. 19.7 workers can build a wall in 4 days. How many days will 2 workers take, working at the same speed? (a) 14 days (b) 15 days (c) 9 days (d) 13 days
  20. 20.What is the average of 64, 73, 80, 66 and 62? (a) 71 (b) 70 (c) 68 (d) 69
  21. 21.Today is Sunday. What day of the week will it be after 31 days? (a) Thursday (b) Wednesday (c) Friday (d) Tuesday
  22. 22.5.61 + 7.2 = ? (a) 12.71 (b) 6.33 (c) 12.91 (d) 12.81
  23. 23.What is the units digit of 4^33? (a) 5 (b) 4 (c) 6 (d) 3
  24. 24.If 6 pens cost ₹96, how much do 7 pens cost? (a) ₹672 (b) ₹97 (c) ₹112 (d) ₹128
  25. 25.8.58 + 2.3 = ? (a) 8.81 (b) 10.78 (c) 10.98 (d) 10.88
  26. 26.8 workers can build a wall in 11 days. How many days will 2 workers take, working at the same speed? (a) 45 days (b) 44 days (c) 17 days (d) 5 days
  27. 27.If x/2 + 12 = 17, what is x? (a) 5 (b) 10 (c) 58 (d) 22
  28. 28.If x/2 + 10 = 14, what is x? (a) 4 (b) 48 (c) 18 (d) 8
  29. 29.A rectangle is 15 cm long and 4 cm wide. What is its perimeter? (a) 60 cm (b) 34 cm (c) 38 cm (d) 19 cm
  30. 30.The average of 5 numbers is 20. When one number is taken away, the average of the rest is 22. Which number was taken away? (a) 20 (b) 13 (c) 42 (d) 12
  31. 31.Today is Thursday. What day of the week will it be after 34 days? (a) Tuesday (b) Thursday (c) Wednesday (d) Friday
  32. 32.A rectangle is 11 cm long and 4 cm wide. What is its perimeter? (a) 26 cm (b) 44 cm (c) 15 cm (d) 30 cm
  33. 33.What is the remainder when 173 is divided by 3? (a) 1 (b) 0 (c) 2
  34. 34.If 5 December is a Wednesday, what day of the week is 21 December? (a) Saturday (b) Sunday (c) Thursday (d) Friday
  35. 35.What is the remainder when 253 is divided by 7? (a) 2 (b) 6 (c) 1 (d) 0
  36. 36.A rectangle has an area of 15 sq cm and a length of 5 cm. What is its width? (a) 3 cm (b) 10 cm (c) 6 cm (d) 4 cm
  37. 37.A bag marked ₹240 is sold at a 10% discount. What is its selling price? (a) ₹24 (b) ₹230 (c) ₹216 (d) ₹264
  38. 38.₹8500 is invested at 6% per year simple interest. What is the amount after 4 years? (a) ₹9010 (b) ₹2040 (c) ₹10540 (d) ₹11050
  39. 39.Which fraction is greater: 2/9 or 3/5? (a) 3/5 (b) They are equal (c) 2/9
  40. 40.Two ribbons are 20 cm and 90 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 70 cm (b) 10 cm (c) 20 cm (d) 5 cm

Answer key

  1. ₹600
  2. 198 sq cm
  3. 33
  4. ₹108
  5. ₹40
  6. 46
  7. 0.036
  8. 56
  9. 56 min
  10. 55
  11. 4
  12. 51
  13. 8
  14. 20%
  15. ₹88
  16. 15%
  17. 27
  18. 17
  19. 14 days
  20. 69
  21. Wednesday
  22. 12.81
  23. 4
  24. ₹112
  25. 10.88
  26. 44 days
  27. 10
  28. 8
  29. 38 cm
  30. 12
  31. Wednesday
  32. 30 cm
  33. 2
  34. Friday
  35. 1
  36. 3 cm
  37. ₹216
  38. ₹10540
  39. 3/5
  40. 10 cm

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