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Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 994 · 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.Two ribbons are 14 cm and 16 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 2 cm (b) 112 cm (c) 14 cm (d) 1 cm
  2. 2.Two bells ring every 9 minutes and every 12 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 21 min (b) 108 min (c) 3 min (d) 36 min
  3. 3.Every pair follows the same rule: 1 : 1, 3 : 27, 5 : 125. What is 6 : ? (a) 217 (b) 6 (c) 174 (d) 216
  4. 4.If 26 July is a Monday, what day of the week is 1 August? (a) Sunday (b) Monday (c) Saturday (d) Tuesday
  5. 5.Every pair follows the same rule: 1 : 1, 2 : 8, 3 : 27. What is 4 : ? (a) 4 (b) 65 (c) 64 (d) 46
  6. 6.Which of these numbers is divisible by 8? (a) 4472 (b) 4477 (c) 4470 (d) 4483
  7. 7.What is the value of the digit 8 in 58.132? (a) 80 (b) 0.08 (c) 8 (d) 0.8
  8. 8.Two bells ring every 12 minutes and every 18 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 6 min (b) 36 min (c) 216 min (d) 30 min
  9. 9.Which fraction is greater: 1/3 or 1/4? (a) 1/3 (b) 1/4 (c) They are equal
  10. 10.If x/5 + 4 = 6, what is x? (a) 26 (b) 50 (c) 10 (d) 2
  11. 11.₹1000 is invested at 8% per year simple interest. What is the amount after 3 years? (a) ₹1320 (b) ₹1080 (c) ₹240 (d) ₹1240
  12. 12.3.64 + 9.2 = ? (a) 4.56 (b) 12.84 (c) 12.94 (d) 12.74
  13. 13.A shopkeeper buys a toy for ₹940 and sells it for ₹752. What is his loss percent? (a) 21% (b) 25% (c) 15% (d) 20%
  14. 14.What is the remainder when 575 is divided by 11? (a) 3 (b) 4 (c) 2 (d) 8
  15. 15.₹297 is shared between two friends in the ratio 4 : 5. How much is the bigger share? (a) ₹33 (b) ₹165 (c) ₹132 (d) ₹198
  16. 16.What is the smallest number of sweets that can be shared equally among 20 children or among 28 children, with none left over? (a) 48 (b) 280 (c) 560 (d) 140
  17. 17.What is the value of the digit 9 in 97.514? (a) 90 (b) 0.9 (c) 9 (d) 0.09
  18. 18.5/6 + 2/5 = ? (a) 7/11 (b) 19/15 (c) 6/5 (d) 37/30
  19. 19.What is the smallest number you must add to 49 to make it divisible by 4? (a) 1 (b) 3 (c) 2
  20. 20.What is the average of all the whole numbers from 35 to 49? (a) 42 (b) 7 (c) 43 (d) 14
  21. 21.If x/2 + 4 = 7, what is x? (a) 3 (b) 22 (c) 6 (d) 10
  22. 22.The average of 8 numbers is 46. When one number is taken away, the average of the rest is 44. Which number was taken away? (a) 60 (b) 16 (c) 46 (d) 90
  23. 23.What is the simple interest on ₹2000 at 12% per year for 3 years? (a) ₹240 (b) ₹2720 (c) ₹960 (d) ₹720
  24. 24.2.14 + 1.8 = ? (a) 4.04 (b) 2.32 (c) 3.94 (d) 3.84
  25. 25.If 1 January is a Tuesday, what day of the week is 9 January? (a) Friday (b) Wednesday (c) Thursday (d) Tuesday
  26. 26.What is 1/3 of 6? (a) 4 (b) 3 (c) 1 (d) 2
  27. 27.If 8 July is a Saturday, what day of the week is 24 July? (a) Tuesday (b) Sunday (c) Monday (d) Wednesday
  28. 28.A shopkeeper buys a toy for ₹420 and sells it for ₹399. What is his loss percent? (a) 5% (b) 6% (c) 10% (d) 21%
  29. 29.If x/4 + 6 = 14, what is x? (a) 8 (b) 32 (c) 80 (d) 50
  30. 30.If 4 mangoes cost ₹72, how much do 5 mangoes cost? (a) ₹108 (b) ₹73 (c) ₹360 (d) ₹90
  31. 31.A square has a perimeter of 28 cm. What is its area? (a) 64 sq cm (b) 49 sq cm (c) 28 sq cm (d) 14 sq cm
  32. 32.Every pair follows the same rule: 4 : 17, 6 : 37, 7 : 50. What is 3 : ? (a) 10 (b) 16 (c) 11 (d) 9
  33. 33.What is the simple interest on ₹1500 at 4% per year for 4 years? (a) ₹60 (b) ₹300 (c) ₹1740 (d) ₹240
  34. 34.If 19 March is a Monday, what day of the week is 1 April? (a) Sunday (b) Saturday (c) Tuesday (d) Monday
  35. 35.Every pair follows the same rule: 2 : 12, 5 : 33, 8 : 72. What is 3 : ? (a) 7 (b) 18 (c) 17 (d) 13
  36. 36.2/4 + 7/8 = ? (a) 3/4 (b) 3/2 (c) 5/4 (d) 11/8
  37. 37.If 2 mangoes cost ₹20, how much do 8 mangoes cost? (a) ₹160 (b) ₹80 (c) ₹90 (d) ₹26
  38. 38.Two bells ring every 20 minutes and every 35 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 700 min (b) 55 min (c) 5 min (d) 140 min
  39. 39.2.29 + 1.4 = ? (a) 2.43 (b) 3.69 (c) 3.59 (d) 3.79
  40. 40.What is the units digit of 3^19? (a) 9 (b) 1 (c) 7 (d) 3

Answer key

  1. 2 cm
  2. 36 min
  3. 216
  4. Sunday
  5. 64
  6. 4472
  7. 8
  8. 36 min
  9. 1/3
  10. 10
  11. ₹1240
  12. 12.84
  13. 20%
  14. 3
  15. ₹165
  16. 140
  17. 90
  18. 37/30
  19. 3
  20. 42
  21. 6
  22. 60
  23. ₹720
  24. 3.94
  25. Wednesday
  26. 2
  27. Monday
  28. 5%
  29. 32
  30. ₹90
  31. 49 sq cm
  32. 10
  33. ₹240
  34. Sunday
  35. 17
  36. 11/8
  37. ₹80
  38. 140 min
  39. 3.69
  40. 7

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