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Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 606 · 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.If 4 kites cost ₹92, how much do 6 kites cost? (a) ₹161 (b) ₹94 (c) ₹552 (d) ₹138
  2. 2.The simple interest on ₹3500 for 5 years is ₹2100. What is the rate per year? (a) 13% (b) 60% (c) 12% (d) 11%
  3. 3.Which fraction is greater: 2/3 or 2/5? (a) 2/3 (b) 2/5 (c) They are equal
  4. 4.If 26 May is a Tuesday, what day of the week is 6 June? (a) Saturday (b) Monday (c) Friday (d) Sunday
  5. 5.Every pair follows the same rule: 2 : 18, 5 : 45, 7 : 63. What is 6 : ? (a) 53 (b) 54 (c) 55 (d) 22
  6. 6.If 7x + 2 = 6x + 5, what is x? (a) 3 (b) 4 (c) 7 (d) 5
  7. 7.The simple interest on ₹4000 for 3 years is ₹1440. What is the rate per year? (a) 11% (b) 36% (c) 13% (d) 12%
  8. 8.A teacher has 21 pencils and 27 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 21 (b) 1 (c) 6 (d) 3
  9. 9.₹3000 is invested at 3% per year simple interest. What is the amount after 3 years? (a) ₹3090 (b) ₹3270 (c) ₹3360 (d) ₹270
  10. 10.8.42 + 3.5 = ? (a) 8.77 (b) 12.02 (c) 11.82 (d) 11.92
  11. 11.7/9 + 3/4 = ? (a) 55/36 (b) 3/2 (c) 14/9 (d) 10/13
  12. 12.A batter has an average of 20 runs in 8 matches. How many runs are needed in the next match to raise the average to 28? (a) 72 (b) 92 (c) 36 (d) 28
  13. 13.A batter has an average of 39 runs in 9 matches. How many runs are needed in the next match to raise the average to 46? (a) 53 (b) 46 (c) 109 (d) 70
  14. 14.What is the average of 31, 49, 46, 25 and 24? (a) 37 (b) 35 (c) 34 (d) 36
  15. 15.The simple interest on ₹10000 for 4 years is ₹4800. What is the rate per year? (a) 13% (b) 11% (c) 12% (d) 48%
  16. 16.A bag marked ₹1060 is sold at a 20% discount. What is its selling price? (a) ₹1272 (b) ₹212 (c) ₹1040 (d) ₹848
  17. 17.What is the smallest number of sweets that can be shared equally among 8 children or among 10 children, with none left over? (a) 41 (b) 18 (c) 40 (d) 80
  18. 18.A rectangle is 14 cm long and 8 cm wide. What is its area? (a) 22 sq cm (b) 44 sq cm (c) 112 sq cm (d) 126 sq cm
  19. 19.Which is the smallest: 0.442, 0.049, 0.54, 0.5? (a) 0.442 (b) 0.049 (c) 0.54 (d) 0.5
  20. 20.Which is the greatest: 0.696, 0.78, 0.048, 0.7? (a) 0.696 (b) 0.78 (c) 0.048 (d) 0.7
  21. 21.Every pair follows the same rule: 2 : 21, 7 : 26, 8 : 27. What is 6 : ? (a) 24 (b) 25 (c) 27 (d) 26
  22. 22.The average of 4 numbers is 22. When one number is taken away, the average of the rest is 25. Which number was taken away? (a) 13 (b) 47 (c) 22 (d) 14
  23. 23.Which of these numbers is divisible by 4? (a) 2904 (b) 2911 (c) 2903 (d) 2905
  24. 24.What is the units digit of 2^15? (a) 8 (b) 2 (c) 4 (d) 6
  25. 25.A rectangle has an area of 30 sq cm and a length of 15 cm. What is its width? (a) 15 cm (b) 4 cm (c) 3 cm (d) 2 cm
  26. 26.Which fraction is greater: 1/6 or 1/7? (a) They are equal (b) 1/7 (c) 1/6
  27. 27.1/3 + 1/2 = ? (a) 2/5 (b) 1 (c) 5/6 (d) 2/3
  28. 28.What is the smallest number you must add to 228 to make it divisible by 7? (a) 3 (b) 2 (c) 4 (d) 5
  29. 29.Which is the greatest: 0.063, 0.739, 0.82, 0.8? (a) 0.063 (b) 0.739 (c) 0.82 (d) 0.8
  30. 30.What is the remainder when 732 is divided by 10? (a) 1 (b) 3 (c) 8 (d) 2
  31. 31.If 15 October is a Wednesday, what day of the week is 15 November? (a) Monday (b) Friday (c) Sunday (d) Saturday
  32. 32.What is the smallest number of sweets that can be shared equally among 15 children or among 21 children, with none left over? (a) 210 (b) 105 (c) 315 (d) 36
  33. 33.Which fraction is greater: 9/10 or 3/4? (a) 3/4 (b) 9/10 (c) They are equal
  34. 34.What is the average of 13, 14, 27 and 30? (a) 28 (b) 20 (c) 21 (d) 22
  35. 35.A rectangle has an area of 170 sq cm and a length of 17 cm. What is its width? (a) 11 cm (b) 10 cm (c) 20 cm (d) 153 cm
  36. 36.A square has a perimeter of 28 cm. What is its area? (a) 64 sq cm (b) 28 sq cm (c) 14 sq cm (d) 49 sq cm
  37. 37.What is the value of the digit 6 in 46.187? (a) 0.6 (b) 0.06 (c) 6 (d) 60
  38. 38.9.77 + 2.7 = ? (a) 12.47 (b) 12.57 (c) 12.37 (d) 10.04
  39. 39.What is the remainder when 299 is divided by 4? (a) 1 (b) 0 (c) 3 (d) 2
  40. 40.In how many years will ₹8000 earn ₹640 simple interest at 4% per year? (a) 4 years (b) 1 year (c) 3 years (d) 2 years

Answer key

  1. ₹138
  2. 12%
  3. 2/3
  4. Saturday
  5. 54
  6. 3
  7. 12%
  8. 3
  9. ₹3270
  10. 11.92
  11. 55/36
  12. 92
  13. 109
  14. 35
  15. 12%
  16. ₹848
  17. 40
  18. 112 sq cm
  19. 0.049
  20. 0.78
  21. 25
  22. 13
  23. 2904
  24. 8
  25. 2 cm
  26. 1/6
  27. 5/6
  28. 3
  29. 0.82
  30. 2
  31. Saturday
  32. 105
  33. 9/10
  34. 21
  35. 10 cm
  36. 49 sq cm
  37. 6
  38. 12.47
  39. 3
  40. 2 years

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