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Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 646 · 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 29 May is a Wednesday, what day of the week is 19 June? (a) Thursday (b) Tuesday (c) Friday (d) Wednesday
  2. 2.2/3 + 5/9 = ? (a) 7/12 (b) 11/9 (c) 10/9 (d) 4/3
  3. 3.A bag marked ₹900 is sold at a 10% discount. What is its selling price? (a) ₹810 (b) ₹90 (c) ₹890 (d) ₹990
  4. 4.What is the smallest number you must add to 571 to make it divisible by 10? (a) 7 (b) 8 (c) 1 (d) 9
  5. 5.If 5 August is a Tuesday, what day of the week is 15 August? (a) Sunday (b) Thursday (c) Friday (d) Saturday
  6. 6.What is the units digit of 9^35? (a) 1 (b) 9 (c) 8 (d) 7
  7. 7.What is the remainder when 468 is divided by 7? (a) 1 (b) 4 (c) 6 (d) 5
  8. 8.Which fraction is greater: 1/8 or 1/3? (a) 1/3 (b) They are equal (c) 1/8
  9. 9.1/2 + 1/2 = ? (a) 1 (b) 2 (c) 1/2 (d) 3/2
  10. 10.If 9x + 14 = 8x + 26, what is x? (a) 40 (b) 12 (c) 13 (d) 14
  11. 11.What is the remainder when 82 is divided by 3? (a) 0 (b) 1 (c) 2
  12. 12.Which fraction is greater: 1/8 or 2/5? (a) They are equal (b) 1/8 (c) 2/5
  13. 13.If 4 pens cost ₹20, how much do 2 pens cost? (a) ₹15 (b) ₹18 (c) ₹10 (d) ₹40
  14. 14.₹10000 is invested at 12% per year simple interest. What is the amount after 2 years? (a) ₹11200 (b) ₹13600 (c) ₹12400 (d) ₹2400
  15. 15.What is the value of the digit 9 in 49.725? (a) 90 (b) 9 (c) 0.09 (d) 0.9
  16. 16.If 2 pens cost ₹22, how much do 8 pens cost? (a) ₹88 (b) ₹99 (c) ₹176 (d) ₹28
  17. 17.Which of these numbers is divisible by 8? (a) 985 (b) 977 (c) 971 (d) 976
  18. 18.Every pair follows the same rule: 3 : 12, 6 : 39, 8 : 67. What is 9 : ? (a) 36 (b) 84 (c) 18 (d) 81
  19. 19.Every pair follows the same rule: 2 : 4, 3 : 9, 8 : 64. What is 9 : ? (a) 11 (b) 75 (c) 18 (d) 81
  20. 20.Which of these numbers is divisible by 9? (a) 3241 (b) 3254 (c) 3240 (d) 3233
  21. 21.What is the average of 58, 65, 77, 75, 56 and 41? (a) 61 (b) 62 (c) 64 (d) 63
  22. 22.If 7 mangoes cost ₹35, how much do 11 mangoes cost? (a) ₹60 (b) ₹39 (c) ₹385 (d) ₹55
  23. 23.Which of these numbers is divisible by 6? (a) 662 (b) 655 (c) 670 (d) 660
  24. 24.What is the average of all the whole numbers from 39 to 59? (a) 49 (b) 20 (c) 50 (d) 10
  25. 25.A batter has an average of 32 runs in 5 matches. How many runs are needed in the next match to raise the average to 39? (a) 42 (b) 46 (c) 39 (d) 74
  26. 26.Every pair follows the same rule: 5 : 15, 6 : 17, 8 : 21. What is 4 : ? (a) 12 (b) 13 (c) 15 (d) 14
  27. 27.What is the simple interest on ₹8000 at 2% per year for 3 years? (a) ₹8480 (b) ₹160 (c) ₹480 (d) ₹640
  28. 28.5.79 + 4.1 = ? (a) 9.99 (b) 6.2 (c) 9.79 (d) 9.89
  29. 29.Today is Wednesday. What day of the week will it be after 54 days? (a) Tuesday (b) Sunday (c) Wednesday (d) Monday
  30. 30.A rectangle is 11 cm long and 10 cm wide. What is its perimeter? (a) 21 cm (b) 32 cm (c) 110 cm (d) 42 cm
  31. 31.The simple interest on ₹7500 for 4 years is ₹3000. What is the rate per year? (a) 9% (b) 40% (c) 10% (d) 11%
  32. 32.Which is the greatest: 0.431, 0.011, 0.5, 0.55? (a) 0.431 (b) 0.011 (c) 0.5 (d) 0.55
  33. 33.If 12 May is a Monday, what day of the week is 21 May? (a) Friday (b) Tuesday (c) Thursday (d) Wednesday
  34. 34.Which is the greatest: 0.22, 0.076, 0.194, 0.2? (a) 0.22 (b) 0.076 (c) 0.194 (d) 0.2
  35. 35.Every pair follows the same rule: 4 : 16, 6 : 36, 8 : 64. What is 7 : ? (a) 49 (b) 19 (c) 28 (d) 50
  36. 36.If 4x + 19 = 2x + 27, what is x? (a) 6 (b) 5 (c) 4 (d) 23
  37. 37.Every pair follows the same rule: 2 : 8, 4 : 64, 5 : 125. What is 3 : ? (a) 3 (b) 9 (c) 12 (d) 27
  38. 38.If 14 October is a Tuesday, what day of the week is 18 November? (a) Monday (b) Thursday (c) Tuesday (d) Wednesday
  39. 39.If 4x − 28 = 4, what is x? (a) 9 (b) 7 (c) 32 (d) 8
  40. 40.3.05 + 2.6 = ? (a) 5.65 (b) 5.75 (c) 5.55 (d) 3.31

Answer key

  1. Wednesday
  2. 11/9
  3. ₹810
  4. 9
  5. Friday
  6. 9
  7. 6
  8. 1/3
  9. 1
  10. 12
  11. 1
  12. 2/5
  13. ₹10
  14. ₹12400
  15. 9
  16. ₹88
  17. 976
  18. 84
  19. 81
  20. 3240
  21. 62
  22. ₹55
  23. 660
  24. 49
  25. 74
  26. 13
  27. ₹480
  28. 9.89
  29. Monday
  30. 42 cm
  31. 10%
  32. 0.55
  33. Wednesday
  34. 0.22
  35. 49
  36. 4
  37. 27
  38. Tuesday
  39. 8
  40. 5.65

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