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Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 221 · 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 the value of the digit 7 in 17.465? (a) 70 (b) 0.07 (c) 0.7 (d) 7
  2. 2.What is the smallest number of sweets that can be shared equally among 8 children or among 20 children, with none left over? (a) 28 (b) 40 (c) 80 (d) 160
  3. 3.If 3 May is a Monday, what day of the week is 12 May? (a) Thursday (b) Wednesday (c) Tuesday (d) Friday
  4. 4.Which is the greatest: 0.2, 0.126, 0.089, 0.24? (a) 0.2 (b) 0.126 (c) 0.089 (d) 0.24
  5. 5.Today is Tuesday. What day of the week will it be after 42 days? (a) Thursday (b) Tuesday (c) Monday (d) Wednesday
  6. 6.What is the units digit of 9^22? (a) 9 (b) 2 (c) 0 (d) 1
  7. 7.₹98 is shared between two friends in the ratio 3 : 4. How much is the bigger share? (a) ₹42 (b) ₹14 (c) ₹49 (d) ₹56
  8. 8.A rectangle is 20 cm long and 11 cm wide. What is its perimeter? (a) 31 cm (b) 62 cm (c) 51 cm (d) 220 cm
  9. 9.If 6x − 44 = 28, what is x? (a) 11 (b) 72 (c) 12 (d) 13
  10. 10.Every pair follows the same rule: 2 : 5, 3 : 10, 7 : 50. What is 9 : ? (a) 82 (b) 70 (c) 83 (d) 12
  11. 11.A shopkeeper buys a toy for ₹500 and sells it for ₹475. What is his loss percent? (a) 10% (b) 5% (c) 6% (d) 25%
  12. 12.A shopkeeper buys a toy for ₹1000 and sells it for ₹1150. What is his profit percent? (a) 20% (b) 10% (c) 16% (d) 15%
  13. 13.Two ribbons are 35 cm and 42 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 35 cm (b) 7 cm (c) 210 cm (d) 1 cm
  14. 14.A square has a perimeter of 32 cm. What is its area? (a) 16 sq cm (b) 32 sq cm (c) 81 sq cm (d) 64 sq cm
  15. 15.Which fraction is greater: 8/11 or 9/10? (a) 8/11 (b) 9/10 (c) They are equal
  16. 16.A bag marked ₹380 is sold at a 50% discount. What is its selling price? (a) ₹330 (b) ₹191 (c) ₹190 (d) ₹570
  17. 17.If 15 July is a Sunday, what day of the week is 28 July? (a) Friday (b) Saturday (c) Sunday (d) Monday
  18. 18.If 13 September is a Sunday, what day of the week is 7 October? (a) Tuesday (b) Thursday (c) Friday (d) Wednesday
  19. 19.What is 5/9 of 99? (a) 44 (b) 11 (c) 55 (d) 66
  20. 20.What is the smallest number you must add to 439 to make it divisible by 11? (a) 2 (b) 3 (c) 10 (d) 1
  21. 21.Today is Friday. What day of the week will it be after 70 days? (a) Thursday (b) Saturday (c) Sunday (d) Friday
  22. 22.Every pair follows the same rule: 2 : 1, 3 : 6, 6 : 33. What is 5 : ? (a) 22 (b) 23 (c) 21 (d) 24
  23. 23.If 5x − 6 = 24, what is x? (a) 5 (b) 30 (c) 7 (d) 6
  24. 24.If 5x − 61 = 9, what is x? (a) 70 (b) 15 (c) 13 (d) 14
  25. 25.Which of these numbers is divisible by 4? (a) 2067 (b) 2062 (c) 2071 (d) 2064
  26. 26.A rectangle has an area of 95 sq cm and a length of 19 cm. What is its width? (a) 6 cm (b) 5 cm (c) 76 cm (d) 10 cm
  27. 27.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
  28. 28.A shopkeeper buys a toy for ₹480 and sells it for ₹456. What is his loss percent? (a) 5% (b) 24% (c) 6% (d) 10%
  29. 29.Which is the smallest: 0.26, 0.2, 0.168, 0.099? (a) 0.26 (b) 0.2 (c) 0.168 (d) 0.099
  30. 30.A rectangle is 16 cm long and 8 cm wide. What is its perimeter? (a) 40 cm (b) 24 cm (c) 48 cm (d) 128 cm
  31. 31.What is the smallest number of sweets that can be shared equally among 12 children or among 21 children, with none left over? (a) 33 (b) 168 (c) 252 (d) 84
  32. 32.A rectangle is 7 cm long and 3 cm wide. What is its area? (a) 10 sq cm (b) 28 sq cm (c) 21 sq cm (d) 20 sq cm
  33. 33.If 5x − 22 = 53, what is x? (a) 15 (b) 75 (c) 14 (d) 16
  34. 34.Which fraction is greater: 5/8 or 7/11? (a) 7/11 (b) They are equal (c) 5/8
  35. 35.If 3x + 14 = 35, what is x? (a) 7 (b) 6 (c) 8 (d) 21
  36. 36.Every pair follows the same rule: 5 : 23, 6 : 28, 7 : 33. What is 2 : ? (a) 9 (b) 8 (c) 20 (d) 7
  37. 37.If 6 August is a Sunday, what day of the week is 16 August? (a) Tuesday (b) Thursday (c) Wednesday (d) Friday
  38. 38.4.07 + 1.6 = ? (a) 5.77 (b) 4.23 (c) 5.67 (d) 5.57
  39. 39.What is 2/7 of 42? (a) 6 (b) 12 (c) 30 (d) 18
  40. 40.If 3 kites cost ₹57, how much do 10 kites cost? (a) ₹64 (b) ₹570 (c) ₹209 (d) ₹190

Answer key

  1. 7
  2. 40
  3. Wednesday
  4. 0.24
  5. Tuesday
  6. 1
  7. ₹56
  8. 62 cm
  9. 12
  10. 82
  11. 5%
  12. 15%
  13. 7 cm
  14. 64 sq cm
  15. 9/10
  16. ₹190
  17. Saturday
  18. Wednesday
  19. 55
  20. 1
  21. Friday
  22. 22
  23. 6
  24. 14
  25. 2064
  26. 5 cm
  27. 30 min
  28. 5%
  29. 0.099
  30. 48 cm
  31. 84
  32. 21 sq cm
  33. 15
  34. 7/11
  35. 7
  36. 8
  37. Wednesday
  38. 5.67
  39. 12
  40. ₹190

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