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Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 841 · 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 3 in 31.842? (a) 0.3 (b) 3 (c) 0.03 (d) 30
  2. 2.Today is Sunday. What day of the week will it be after 79 days? (a) Thursday (b) Tuesday (c) Wednesday (d) Monday
  3. 3.Every pair follows the same rule: 3 : 6, 4 : 10, 5 : 14. What is 9 : ? (a) 12 (b) 18 (c) 31 (d) 30
  4. 4.What is the average of 34, 61, 58, 35 and 42? (a) 45 (b) 47 (c) 46 (d) 48
  5. 5.Which is the smallest: 0.258, 0.3, 0.34, 0.079? (a) 0.258 (b) 0.3 (c) 0.34 (d) 0.079
  6. 6.Today is Saturday. What day of the week will it be after 59 days? (a) Tuesday (b) Wednesday (c) Thursday (d) Monday
  7. 7.5 workers can build a wall in 8 days. How many days will 2 workers take, working at the same speed? (a) 21 days (b) 20 days (c) 5 days (d) 11 days
  8. 8.Today is Monday. What day of the week will it be after 18 days? (a) Friday (b) Thursday (c) Sunday (d) Saturday
  9. 9.What is the smallest number you must add to 493 to make it divisible by 11? (a) 9 (b) 2 (c) 1 (d) 3
  10. 10.What is the smallest number of sweets that can be shared equally among 15 children or among 21 children, with none left over? (a) 315 (b) 36 (c) 210 (d) 105
  11. 11.A batter has an average of 25 runs in 9 matches. How many runs are needed in the next match to raise the average to 30? (a) 75 (b) 50 (c) 35 (d) 30
  12. 12.What is the units digit of 3^25? (a) 3 (b) 1 (c) 7 (d) 9
  13. 13.What is the units digit of 3^35? (a) 3 (b) 9 (c) 7 (d) 1
  14. 14.What is the simple interest on ₹1500 at 11% per year for 2 years? (a) ₹165 (b) ₹495 (c) ₹1830 (d) ₹330
  15. 15.What is the smallest number of sweets that can be shared equally among 20 children or among 25 children, with none left over? (a) 45 (b) 100 (c) 500 (d) 200
  16. 16.What is 5% of 60? (a) 3 (b) 57 (c) 6 (d) 30
  17. 17.If 5 August is a Wednesday, what day of the week is 15 August? (a) Sunday (b) Friday (c) Saturday (d) Monday
  18. 18.1.28 + 6.7 = ? (a) 8.08 (b) 1.95 (c) 7.88 (d) 7.98
  19. 19.What is the value of the digit 4 in 34.529? (a) 0.4 (b) 40 (c) 4 (d) 0.04
  20. 20.Which of these numbers is divisible by 11? (a) 2736 (b) 2716 (c) 2717 (d) 2720
  21. 21.Two ribbons are 35 cm and 49 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 7 cm (b) 1 cm (c) 14 cm (d) 35 cm
  22. 22.Every pair follows the same rule: 3 : 12, 4 : 16, 5 : 20. What is 6 : ? (a) 24 (b) 15 (c) 23 (d) 25
  23. 23.The simple interest on ₹10000 for 5 years is ₹2500. What is the rate per year? (a) 4% (b) 5% (c) 25% (d) 6%
  24. 24.6.68 + 6.3 = ? (a) 13.08 (b) 7.31 (c) 12.88 (d) 12.98
  25. 25.A bag marked ₹760 is sold at a 15% discount. What is its selling price? (a) ₹745 (b) ₹874 (c) ₹114 (d) ₹646
  26. 26.What is the simple interest on ₹1500 at 9% per year for 4 years? (a) ₹2040 (b) ₹675 (c) ₹135 (d) ₹540
  27. 27.₹3000 is invested at 3% per year simple interest. What is the amount after 2 years? (a) ₹180 (b) ₹3180 (c) ₹3090 (d) ₹3270
  28. 28.Every pair follows the same rule: 2 : 7, 7 : 32, 9 : 42. What is 8 : ? (a) 36 (b) 37 (c) 38 (d) 13
  29. 29.5/6 + 5/8 = ? (a) 3/2 (b) 17/12 (c) 5/7 (d) 35/24
  30. 30.If 6x + 4 = 4x + 22, what is x? (a) 10 (b) 9 (c) 11 (d) 13
  31. 31.The simple interest on ₹9000 for 4 years is ₹4320. What is the rate per year? (a) 13% (b) 11% (c) 48% (d) 12%
  32. 32.Two ribbons are 49 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) 49 cm (b) 1 cm (c) 14 cm (d) 7 cm
  33. 33.What is 1/2 of 4? (a) 2 (b) 4 (c) 3 (d) 1
  34. 34.₹48 is shared between two friends in the ratio 1 : 3. How much is the bigger share? (a) ₹12 (b) ₹36 (c) ₹48 (d) ₹24
  35. 35.What is 10% of 940? (a) 940 (b) 846 (c) 94 (d) 188
  36. 36.If 25 May is a Monday, what day of the week is 9 June? (a) Monday (b) Tuesday (c) Thursday (d) Wednesday
  37. 37.Every pair follows the same rule: 3 : 18, 5 : 30, 7 : 42. What is 8 : ? (a) 47 (b) 48 (c) 49 (d) 23
  38. 38.A batter has an average of 51 runs in 9 matches. How many runs are needed in the next match to raise the average to 59? (a) 59 (b) 131 (c) 80 (d) 67
  39. 39.What is the remainder when 125 is divided by 3? (a) 2 (b) 1 (c) 0
  40. 40.If 14 March is a Wednesday, what day of the week is 26 March? (a) Tuesday (b) Sunday (c) Monday (d) Wednesday

Answer key

  1. 30
  2. Tuesday
  3. 30
  4. 46
  5. 0.079
  6. Tuesday
  7. 20 days
  8. Friday
  9. 2
  10. 105
  11. 75
  12. 3
  13. 7
  14. ₹330
  15. 100
  16. 3
  17. Saturday
  18. 7.98
  19. 4
  20. 2717
  21. 7 cm
  22. 24
  23. 5%
  24. 12.98
  25. ₹646
  26. ₹540
  27. ₹3180
  28. 37
  29. 35/24
  30. 9
  31. 12%
  32. 7 cm
  33. 2
  34. ₹36
  35. 94
  36. Tuesday
  37. 48
  38. 131
  39. 2
  40. Monday

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