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Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 340 · 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 8 in 14.938? (a) 0.08 (b) 0.8 (c) 8 (d) 0.008
  2. 2.What is the smallest number of sweets that can be shared equally among 10 children or among 35 children, with none left over? (a) 350 (b) 45 (c) 70 (d) 140
  3. 3.A batter has an average of 48 runs in 3 matches. How many runs are needed in the next match to raise the average to 54? (a) 24 (b) 60 (c) 54 (d) 72
  4. 4.Every pair follows the same rule: 4 : 23, 5 : 32, 8 : 71. What is 3 : ? (a) 22 (b) 17 (c) 16 (d) 6
  5. 5.Which is the smallest: 0.2, 0.27, 0.193, 0.075? (a) 0.2 (b) 0.27 (c) 0.193 (d) 0.075
  6. 6.The simple interest on ₹1000 for 5 years is ₹550. What is the rate per year? (a) 55% (b) 11% (c) 10% (d) 12%
  7. 7.Every pair follows the same rule: 1 : 1, 3 : 27, 6 : 216. What is 2 : ? (a) 2 (b) 7 (c) 9 (d) 8
  8. 8.Which fraction is greater: 2/3 or 1/4? (a) They are equal (b) 2/3 (c) 1/4
  9. 9.What is the average of all the whole numbers from 58 to 98? (a) 79 (b) 78 (c) 20 (d) 40
  10. 10.The average of 7 numbers is 49. When one number is taken away, the average of the rest is 54. Which number was taken away? (a) 19 (b) 103 (c) 20 (d) 49
  11. 11.A batter has an average of 22 runs in 9 matches. How many runs are needed in the next match to raise the average to 24? (a) 42 (b) 26 (c) 24 (d) 20
  12. 12.A teacher has 8 pencils and 36 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 28 (b) 8 (c) 2 (d) 4
  13. 13.A rectangle is 19 cm long and 5 cm wide. What is its perimeter? (a) 43 cm (b) 95 cm (c) 48 cm (d) 24 cm
  14. 14.What is the simple interest on ₹10000 at 7% per year for 5 years? (a) ₹3500 (b) ₹700 (c) ₹4200 (d) ₹13500
  15. 15.The simple interest on ₹5000 for 5 years is ₹3000. What is the rate per year? (a) 60% (b) 12% (c) 13% (d) 11%
  16. 16.Which of these numbers is divisible by 11? (a) 5742 (b) 5760 (c) 5740 (d) 5748
  17. 17.If 13 September is a Monday, what day of the week is 2 October? (a) Friday (b) Monday (c) Sunday (d) Saturday
  18. 18.What is the average of 43, 21, 22, 31 and 43? (a) 40 (b) 31 (c) 33 (d) 32
  19. 19.Which fraction is greater: 10/11 or 1/4? (a) 10/11 (b) They are equal (c) 1/4
  20. 20.A batter has an average of 27 runs in 6 matches. How many runs are needed in the next match to raise the average to 30? (a) 33 (b) 30 (c) 21 (d) 48
  21. 21.What is the smallest number of sweets that can be shared equally among 9 children or among 12 children, with none left over? (a) 36 (b) 72 (c) 108 (d) 21
  22. 22.What is the average of 64, 80, 57, 51, 59 and 85? (a) 67 (b) 68 (c) 65 (d) 66
  23. 23.Two ribbons are 54 cm and 63 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 378 cm (b) 3 cm (c) 54 cm (d) 9 cm
  24. 24.9.15 + 8.4 = ? (a) 17.45 (b) 9.99 (c) 17.65 (d) 17.55
  25. 25.A rectangle has an area of 136 sq cm and a length of 17 cm. What is its width? (a) 9 cm (b) 119 cm (c) 8 cm (d) 16 cm
  26. 26.What is the value of the digit 4 in 49.567? (a) 4 (b) 0.04 (c) 40 (d) 0.4
  27. 27.A shopkeeper buys a toy for ₹200 and sells it for ₹150. What is his loss percent? (a) 30% (b) 50% (c) 20% (d) 25%
  28. 28.What is the average of 70, 74, 74, 72, 77 and 47? (a) 68 (b) 71 (c) 70 (d) 69
  29. 29.Today is Thursday. What day of the week will it be after 10 days? (a) Monday (b) Saturday (c) Sunday (d) Tuesday
  30. 30.Which fraction is greater: 3/4 or 2/5? (a) 3/4 (b) They are equal (c) 2/5
  31. 31.What is the average of 59, 63, 76, 80, 80 and 86? (a) 73 (b) 75 (c) 74 (d) 76
  32. 32.6 workers can build a wall in 7 days. How many days will 2 workers take, working at the same speed? (a) 21 days (b) 11 days (c) 3 days (d) 22 days
  33. 33.A bag marked ₹900 is sold at a 40% discount. What is its selling price? (a) ₹1260 (b) ₹540 (c) ₹860 (d) ₹360
  34. 34.What is 1/3 of 36? (a) 12 (b) 24 (c) 11 (d) 13
  35. 35.If 2x + 25 = 41, what is x? (a) 9 (b) 16 (c) 8 (d) 33
  36. 36.₹70 is shared between two friends in the ratio 2 : 5. How much is the bigger share? (a) ₹10 (b) ₹20 (c) ₹35 (d) ₹50
  37. 37.Today is Tuesday. What day of the week will it be after 84 days? (a) Thursday (b) Tuesday (c) Monday (d) Wednesday
  38. 38.If 3x − 8 = 7, what is x? (a) 6 (b) 5 (c) 4 (d) 15
  39. 39.₹5500 is invested at 5% per year simple interest. What is the amount after 5 years? (a) ₹7150 (b) ₹6875 (c) ₹1375 (d) ₹5775
  40. 40.The average of 5 numbers is 27. When one number is taken away, the average of the rest is 25. Which number was taken away? (a) 27 (b) 10 (c) 52 (d) 35

Answer key

  1. 0.008
  2. 70
  3. 72
  4. 16
  5. 0.075
  6. 11%
  7. 8
  8. 2/3
  9. 78
  10. 19
  11. 42
  12. 4
  13. 48 cm
  14. ₹3500
  15. 12%
  16. 5742
  17. Saturday
  18. 32
  19. 10/11
  20. 48
  21. 36
  22. 66
  23. 9 cm
  24. 17.55
  25. 8 cm
  26. 40
  27. 25%
  28. 69
  29. Sunday
  30. 3/4
  31. 74
  32. 21 days
  33. ₹540
  34. 12
  35. 8
  36. ₹50
  37. Tuesday
  38. 5
  39. ₹6875
  40. 35

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