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Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 593 · 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 bag marked ₹280 is sold at a 40% discount. What is its selling price? (a) ₹112 (b) ₹392 (c) ₹168 (d) ₹240
  2. 2.Every pair follows the same rule: 2 : 22, 3 : 23, 7 : 27. What is 6 : ? (a) 25 (b) 26 (c) 27 (d) 66
  3. 3.Every pair follows the same rule: 2 : 1, 3 : 6, 4 : 13. What is 7 : ? (a) 45 (b) 34 (c) 46 (d) 47
  4. 4.If 2 notebooks cost ₹36, how much do 8 notebooks cost? (a) ₹42 (b) ₹144 (c) ₹288 (d) ₹162
  5. 5.What is the value of the digit 7 in 73.146? (a) 0.7 (b) 7 (c) 70 (d) 0.07
  6. 6.3/7 + 2/3 = ? (a) 22/21 (b) 23/21 (c) 1/2 (d) 8/7
  7. 7.What is the value of the digit 4 in 15.394? (a) 4 (b) 0.04 (c) 0.004 (d) 0.4
  8. 8.If 2x − 7 = 5, what is x? (a) 6 (b) 12 (c) 7 (d) 5
  9. 9.If 3x + 3 = 2x + 8, what is x? (a) 11 (b) 5 (c) 1 (d) 6
  10. 10.If 2x + 13 = 19, what is x? (a) 6 (b) 16 (c) 3 (d) 4
  11. 11.If 15 July is a Monday, what day of the week is 31 July? (a) Thursday (b) Friday (c) Tuesday (d) Wednesday
  12. 12.What is 50% of 820? (a) 4100 (b) 410 (c) 820 (d) 411
  13. 13.If 6x + 1 = 49, what is x? (a) 9 (b) 7 (c) 8 (d) 48
  14. 14.What is the units digit of 9^54? (a) 9 (b) 2 (c) 1 (d) 0
  15. 15.Every pair follows the same rule: 2 : 4, 4 : 16, 5 : 25. What is 6 : ? (a) 36 (b) 34 (c) 8 (d) 12
  16. 16.What is the simple interest on ₹3500 at 10% per year for 5 years? (a) ₹1750 (b) ₹5250 (c) ₹350 (d) ₹2100
  17. 17.What is the value of the digit 9 in 39.421? (a) 9 (b) 0.09 (c) 90 (d) 0.9
  18. 18.What is the units digit of 7^19? (a) 7 (b) 1 (c) 9 (d) 3
  19. 19.In how many years will ₹2000 earn ₹160 simple interest at 4% per year? (a) 3 years (b) 1 year (c) 4 years (d) 2 years
  20. 20.The simple interest on ₹7000 for 5 years is ₹3850. What is the rate per year? (a) 10% (b) 12% (c) 11% (d) 55%
  21. 21.Today is Monday. What day of the week will it be after 88 days? (a) Thursday (b) Sunday (c) Saturday (d) Friday
  22. 22.If 5x + 6 = 2x + 21, what is x? (a) 6 (b) 7 (c) 9 (d) 5
  23. 23.What is the remainder when 414 is divided by 8? (a) 2 (b) 5 (c) 6 (d) 7
  24. 24.A square has a perimeter of 52 cm. What is its area? (a) 52 sq cm (b) 196 sq cm (c) 26 sq cm (d) 169 sq cm
  25. 25.If 9 March is a Tuesday, what day of the week is 22 March? (a) Tuesday (b) Wednesday (c) Sunday (d) Monday
  26. 26.What is 3/4 of 36? (a) 9 (b) 36 (c) 28 (d) 27
  27. 27.Which is the greatest: 0.138, 0.052, 0.2, 0.26? (a) 0.138 (b) 0.052 (c) 0.2 (d) 0.26
  28. 28.In how many years will ₹3500 earn ₹280 simple interest at 4% per year? (a) 1 year (b) 2 years (c) 3 years (d) 4 years
  29. 29.What is the average of 81, 54, 79 and 62? (a) 92 (b) 68 (c) 70 (d) 69
  30. 30.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) 2 cm (c) 12 cm (d) 4 cm
  31. 31.₹5000 is invested at 12% per year simple interest. What is the amount after 2 years? (a) ₹6800 (b) ₹5600 (c) ₹1200 (d) ₹6200
  32. 32.9.07 + 4.4 = ? (a) 13.57 (b) 13.37 (c) 9.51 (d) 13.47
  33. 33.If 4x − 3 = 29, what is x? (a) 9 (b) 8 (c) 7 (d) 32
  34. 34.₹2000 is invested at 12% per year simple interest. What is the amount after 2 years? (a) ₹2720 (b) ₹480 (c) ₹2480 (d) ₹2240
  35. 35.Which is the greatest: 0.59, 0.431, 0.014, 0.5? (a) 0.59 (b) 0.431 (c) 0.014 (d) 0.5
  36. 36.Every pair follows the same rule: 2 : 16, 3 : 24, 5 : 40. What is 9 : ? (a) 73 (b) 23 (c) 71 (d) 72
  37. 37.In how many years will ₹6500 earn ₹1950 simple interest at 6% per year? (a) 6 years (b) 4 years (c) 5 years (d) 10 years
  38. 38.A batter has an average of 54 runs in 7 matches. How many runs are needed in the next match to raise the average to 57? (a) 60 (b) 78 (c) 24 (d) 57
  39. 39.4.91 + 2.3 = ? (a) 7.21 (b) 7.31 (c) 5.14 (d) 7.11
  40. 40.Which fraction is greater: 2/9 or 1/7? (a) They are equal (b) 1/7 (c) 2/9

Answer key

  1. ₹168
  2. 26
  3. 46
  4. ₹144
  5. 70
  6. 23/21
  7. 0.004
  8. 6
  9. 5
  10. 3
  11. Wednesday
  12. 410
  13. 8
  14. 1
  15. 36
  16. ₹1750
  17. 9
  18. 3
  19. 2 years
  20. 11%
  21. Friday
  22. 5
  23. 6
  24. 169 sq cm
  25. Monday
  26. 27
  27. 0.26
  28. 2 years
  29. 69
  30. 4 cm
  31. ₹6200
  32. 13.47
  33. 8
  34. ₹2480
  35. 0.59
  36. 72
  37. 5 years
  38. 78
  39. 7.21
  40. 2/9

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