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Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 177 · 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 batter has an average of 20 runs in 5 matches. How many runs are needed in the next match to raise the average to 23? (a) 26 (b) 38 (c) 18 (d) 23
  2. 2.2.31 + 3.7 = ? (a) 5.91 (b) 6.01 (c) 2.68 (d) 6.11
  3. 3.₹3500 is invested at 12% per year simple interest. What is the amount after 2 years? (a) ₹4340 (b) ₹3920 (c) ₹840 (d) ₹4760
  4. 4.1.38 + 4.4 = ? (a) 5.88 (b) 1.82 (c) 5.78 (d) 5.68
  5. 5.A bag marked ₹380 is sold at a 50% discount. What is its selling price? (a) ₹190 (b) ₹191 (c) ₹570 (d) ₹330
  6. 6.If 9x + 22 = 67, what is x? (a) 4 (b) 5 (c) 45 (d) 6
  7. 7.Every pair follows the same rule: 4 : 8, 7 : 11, 8 : 12. What is 3 : ? (a) 7 (b) 6 (c) 8 (d) 9
  8. 8.Two ribbons are 10 cm and 14 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 4 cm (b) 10 cm (c) 1 cm (d) 2 cm
  9. 9.A square has a perimeter of 60 cm. What is its area? (a) 225 sq cm (b) 60 sq cm (c) 30 sq cm (d) 256 sq cm
  10. 10.If 28 June is a Tuesday, what day of the week is 14 July? (a) Saturday (b) Thursday (c) Friday (d) Wednesday
  11. 11.A batter has an average of 30 runs in 9 matches. How many runs are needed in the next match to raise the average to 33? (a) 33 (b) 60 (c) 30 (d) 36
  12. 12.If 2 May is a Sunday, what day of the week is 18 May? (a) Thursday (b) Tuesday (c) Monday (d) Wednesday
  13. 13.What is the value of the digit 5 in 59.738? (a) 5 (b) 0.5 (c) 50 (d) 0.05
  14. 14.What is 3/5 of 10? (a) 8 (b) 2 (c) 4 (d) 6
  15. 15.Two ribbons are 12 cm and 20 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 8 cm (b) 12 cm (c) 4 cm (d) 2 cm
  16. 16.₹209 is shared between two friends in the ratio 5 : 6. How much is the bigger share? (a) ₹19 (b) ₹95 (c) ₹133 (d) ₹114
  17. 17.8.53 + 9.2 = ? (a) 9.45 (b) 17.73 (c) 17.83 (d) 17.63
  18. 18.Which fraction is greater: 2/9 or 1/3? (a) 2/9 (b) 1/3 (c) They are equal
  19. 19.If 3x − 20 = 16, what is x? (a) 13 (b) 11 (c) 36 (d) 12
  20. 20.If 8 July is a Friday, what day of the week is 16 July? (a) Sunday (b) Monday (c) Saturday (d) Friday
  21. 21.₹108 is shared between two friends in the ratio 4 : 5. How much is the bigger share? (a) ₹48 (b) ₹12 (c) ₹60 (d) ₹54
  22. 22.A teacher has 30 pencils and 50 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 30 (b) 5 (c) 10 (d) 20
  23. 23.What is 10% of 440? (a) 88 (b) 440 (c) 396 (d) 44
  24. 24.What is the value of the digit 8 in 68.743? (a) 8 (b) 80 (c) 0.8 (d) 0.08
  25. 25.Every pair follows the same rule: 2 : 12, 6 : 20, 9 : 26. What is 3 : ? (a) 13 (b) 18 (c) 15 (d) 14
  26. 26.Which of these numbers is divisible by 3? (a) 2192 (b) 2195 (c) 2193 (d) 2197
  27. 27.Two ribbons are 20 cm and 28 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) 8 cm (c) 20 cm (d) 4 cm
  28. 28.What is the smallest number you must add to 425 to make it divisible by 8? (a) 5 (b) 7 (c) 6 (d) 1
  29. 29.Today is Thursday. What day of the week will it be after 19 days? (a) Tuesday (b) Wednesday (c) Monday (d) Thursday
  30. 30.What is the smallest number of sweets that can be shared equally among 10 children or among 15 children, with none left over? (a) 25 (b) 150 (c) 30 (d) 60
  31. 31.The average of 5 numbers is 42. When one number is taken away, the average of the rest is 44. Which number was taken away? (a) 35 (b) 42 (c) 86 (d) 34
  32. 32.Today is Thursday. What day of the week will it be after 73 days? (a) Monday (b) Saturday (c) Sunday (d) Tuesday
  33. 33.A square has a perimeter of 48 cm. What is its area? (a) 169 sq cm (b) 144 sq cm (c) 24 sq cm (d) 48 sq cm
  34. 34.9.37 + 7.5 = ? (a) 10.12 (b) 16.77 (c) 16.87 (d) 16.97
  35. 35.Which is the smallest: 0.087, 0.46, 0.367, 0.4? (a) 0.087 (b) 0.46 (c) 0.367 (d) 0.4
  36. 36.What is the simple interest on ₹8000 at 12% per year for 4 years? (a) ₹3840 (b) ₹11840 (c) ₹960 (d) ₹4800
  37. 37.The simple interest on ₹3000 for 3 years is ₹180. What is the rate per year? (a) 2% (b) 6% (c) 1% (d) 3%
  38. 38.What is 1/4 of 48? (a) 13 (b) 36 (c) 24 (d) 12
  39. 39.What is the value of the digit 6 in 28.165? (a) 6 (b) 0.06 (c) 0.6 (d) 0.006
  40. 40.A teacher has 24 pencils and 40 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 16 (b) 8 (c) 4 (d) 24

Answer key

  1. 38
  2. 6.01
  3. ₹4340
  4. 5.78
  5. ₹190
  6. 5
  7. 7
  8. 2 cm
  9. 225 sq cm
  10. Thursday
  11. 60
  12. Tuesday
  13. 50
  14. 6
  15. 4 cm
  16. ₹114
  17. 17.73
  18. 1/3
  19. 12
  20. Saturday
  21. ₹60
  22. 10
  23. 44
  24. 8
  25. 14
  26. 2193
  27. 4 cm
  28. 7
  29. Tuesday
  30. 30
  31. 34
  32. Sunday
  33. 144 sq cm
  34. 16.87
  35. 0.087
  36. ₹3840
  37. 2%
  38. 12
  39. 0.06
  40. 8

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