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Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 992 · 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 1 in 81.592? (a) 0.01 (b) 0.1 (c) 10 (d) 1
  2. 2.What is the units digit of 9^33? (a) 1 (b) 8 (c) 7 (d) 9
  3. 3.A rectangle is 17 cm long and 4 cm wide. What is its perimeter? (a) 68 cm (b) 38 cm (c) 42 cm (d) 21 cm
  4. 4.What is 1/3 of 18? (a) 7 (b) 5 (c) 6 (d) 12
  5. 5.Which is the greatest: 0.564, 0.69, 0.072, 0.6? (a) 0.564 (b) 0.69 (c) 0.072 (d) 0.6
  6. 6.5/6 + 6/8 = ? (a) 37/24 (b) 11/14 (c) 19/12 (d) 13/8
  7. 7.What is the smallest number of sweets that can be shared equally among 10 children or among 25 children, with none left over? (a) 35 (b) 50 (c) 100 (d) 250
  8. 8.A rectangle is 14 cm long and 12 cm wide. What is its perimeter? (a) 26 cm (b) 52 cm (c) 168 cm (d) 40 cm
  9. 9.Today is Sunday. What day of the week will it be after 95 days? (a) Friday (b) Thursday (c) Wednesday (d) Saturday
  10. 10.The simple interest on ₹6000 for 4 years is ₹1680. What is the rate per year? (a) 28% (b) 6% (c) 8% (d) 7%
  11. 11.If x/3 + 15 = 22, what is x? (a) 7 (b) 111 (c) 51 (d) 21
  12. 12.Today is Monday. What day of the week will it be after 24 days? (a) Saturday (b) Wednesday (c) Friday (d) Thursday
  13. 13.If 6 kites cost ₹114, how much do 5 kites cost? (a) ₹570 (b) ₹95 (c) ₹113 (d) ₹114
  14. 14.A shopkeeper buys a toy for ₹380 and sells it for ₹323. What is his loss percent? (a) 57% (b) 10% (c) 15% (d) 20%
  15. 15.What is the units digit of 7^54? (a) 9 (b) 7 (c) 3 (d) 1
  16. 16.Today is Thursday. What day of the week will it be after 10 days? (a) Tuesday (b) Monday (c) Sunday (d) Saturday
  17. 17.₹6000 is invested at 3% per year simple interest. What is the amount after 2 years? (a) ₹6180 (b) ₹6360 (c) ₹6540 (d) ₹360
  18. 18.If 8x + 3 = x + 66, what is x? (a) 11 (b) 9 (c) 10 (d) 7
  19. 19.If 5x − 72 = 3, what is x? (a) 16 (b) 14 (c) 75 (d) 15
  20. 20.What is 5% of 380? (a) 190 (b) 361 (c) 38 (d) 19
  21. 21.What is the smallest number of sweets that can be shared equally among 20 children or among 24 children, with none left over? (a) 480 (b) 120 (c) 240 (d) 44
  22. 22.What is the simple interest on ₹4500 at 12% per year for 3 years? (a) ₹2160 (b) ₹540 (c) ₹1620 (d) ₹6120
  23. 23.Two ribbons are 30 cm and 40 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 10 cm (b) 120 cm (c) 30 cm (d) 5 cm
  24. 24.A rectangle is 10 cm long and 9 cm wide. What is its area? (a) 19 sq cm (b) 38 sq cm (c) 100 sq cm (d) 90 sq cm
  25. 25.Today is Friday. What day of the week will it be after 93 days? (a) Saturday (b) Monday (c) Tuesday (d) Sunday
  26. 26.Two bells ring every 15 minutes and every 21 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 3 min (b) 315 min (c) 105 min (d) 36 min
  27. 27.What is the units digit of 3^37? (a) 9 (b) 1 (c) 7 (d) 3
  28. 28.What is the average of all the whole numbers from 40 to 46? (a) 44 (b) 43 (c) 6 (d) 3
  29. 29.Two ribbons are 8 cm and 10 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) 8 cm (c) 2 cm (d) 40 cm
  30. 30.2/3 + 5/8 = ? (a) 31/24 (b) 4/3 (c) 5/4 (d) 7/11
  31. 31.A square has a perimeter of 28 cm. What is its area? (a) 64 sq cm (b) 28 sq cm (c) 49 sq cm (d) 14 sq cm
  32. 32.If 1 January is a Friday, what day of the week is 10 January? (a) Tuesday (b) Saturday (c) Monday (d) Sunday
  33. 33.A shopkeeper buys a toy for ₹240 and sells it for ₹228. What is his loss percent? (a) 12% (b) 10% (c) 5% (d) 6%
  34. 34.₹154 is shared between two friends in the ratio 3 : 4. How much is the bigger share? (a) ₹22 (b) ₹88 (c) ₹77 (d) ₹66
  35. 35.5.71 + 1.8 = ? (a) 7.51 (b) 5.89 (c) 7.41 (d) 7.61
  36. 36.A rectangle is 18 cm long and 8 cm wide. What is its area? (a) 162 sq cm (b) 26 sq cm (c) 144 sq cm (d) 52 sq cm
  37. 37.Which is the smallest: 0.511, 0.61, 0.091, 0.6? (a) 0.511 (b) 0.61 (c) 0.091 (d) 0.6
  38. 38.What is the units digit of 2^51? (a) 2 (b) 4 (c) 8 (d) 6
  39. 39.4/8 + 1/2 = ? (a) 1 (b) 9/8 (c) 1/2 (d) 7/8
  40. 40.What is the remainder when 205 is divided by 3? (a) 0 (b) 1 (c) 2

Answer key

  1. 1
  2. 9
  3. 42 cm
  4. 6
  5. 0.69
  6. 19/12
  7. 50
  8. 52 cm
  9. Thursday
  10. 7%
  11. 21
  12. Thursday
  13. ₹95
  14. 15%
  15. 9
  16. Sunday
  17. ₹6360
  18. 9
  19. 15
  20. 19
  21. 120
  22. ₹1620
  23. 10 cm
  24. 90 sq cm
  25. Sunday
  26. 105 min
  27. 3
  28. 43
  29. 2 cm
  30. 31/24
  31. 49 sq cm
  32. Sunday
  33. 5%
  34. ₹88
  35. 7.51
  36. 144 sq cm
  37. 0.091
  38. 8
  39. 1
  40. 1

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