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Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 382 · 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.₹4500 is invested at 5% per year simple interest. What is the amount after 4 years? (a) ₹5400 (b) ₹900 (c) ₹4725 (d) ₹5625
  2. 2.What is the value of the digit 3 in 16.534? (a) 0.3 (b) 0.03 (c) 3 (d) 0.003
  3. 3.What is the average of 44, 36, 28, 21 and 41? (a) 36 (b) 34 (c) 35 (d) 33
  4. 4.What is 1/2 of 6? (a) 4 (b) 2 (c) 3 (d) 6
  5. 5.If x/4 + 4 = 16, what is x? (a) 60 (b) 48 (c) 12 (d) 80
  6. 6.Which fraction is greater: 1/3 or 9/10? (a) They are equal (b) 1/3 (c) 9/10
  7. 7.A shopkeeper buys a toy for ₹240 and sells it for ₹264. What is his profit percent? (a) 15% (b) 10% (c) 24% (d) 5%
  8. 8.Which of these numbers is divisible by 4? (a) 937 (b) 945 (c) 942 (d) 940
  9. 9.What is 2/5 of 35? (a) 21 (b) 14 (c) 7 (d) 15
  10. 10.Which is the smallest: 0.86, 0.072, 0.8, 0.735? (a) 0.86 (b) 0.072 (c) 0.8 (d) 0.735
  11. 11.A batter has an average of 40 runs in 4 matches. How many runs are needed in the next match to raise the average to 44? (a) 44 (b) 60 (c) 48 (d) 20
  12. 12.If 7 July is a Thursday, what day of the week is 16 July? (a) Saturday (b) Sunday (c) Monday (d) Friday
  13. 13.What is the simple interest on ₹1500 at 12% per year for 3 years? (a) ₹180 (b) ₹540 (c) ₹2040 (d) ₹720
  14. 14.What is 2/5 of 20? (a) 4 (b) 12 (c) 8 (d) 9
  15. 15.Every pair follows the same rule: 3 : 24, 6 : 48, 9 : 72. What is 7 : ? (a) 28 (b) 55 (c) 57 (d) 56
  16. 16.A rectangle has an area of 18 sq cm and a length of 6 cm. What is its width? (a) 4 cm (b) 6 cm (c) 12 cm (d) 3 cm
  17. 17.₹120 is shared between two friends in the ratio 3 : 5. How much is the bigger share? (a) ₹60 (b) ₹45 (c) ₹15 (d) ₹75
  18. 18.₹369 is shared between two friends in the ratio 4 : 5. How much is the bigger share? (a) ₹205 (b) ₹164 (c) ₹246 (d) ₹41
  19. 19.The simple interest on ₹5000 for 2 years is ₹700. What is the rate per year? (a) 14% (b) 6% (c) 7% (d) 8%
  20. 20.6 workers can build a wall in 4 days. How many days will 2 workers take, working at the same speed? (a) 8 days (b) 13 days (c) 11 days (d) 12 days
  21. 21.Two ribbons are 24 cm and 60 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 24 cm (b) 6 cm (c) 12 cm (d) 36 cm
  22. 22.Every pair follows the same rule: 5 : 24, 7 : 32, 8 : 36. What is 2 : ? (a) 12 (b) 11 (c) 13 (d) 21
  23. 23.If 4 May is a Wednesday, what day of the week is 17 May? (a) Monday (b) Wednesday (c) Tuesday (d) Thursday
  24. 24.Which of these numbers is divisible by 11? (a) 2814 (b) 2825 (c) 2837 (d) 2816
  25. 25.If 11 December is a Sunday, what day of the week is 19 December? (a) Sunday (b) Tuesday (c) Wednesday (d) Monday
  26. 26.₹135 is shared between two friends in the ratio 1 : 8. How much is the bigger share? (a) ₹121 (b) ₹15 (c) ₹120 (d) ₹135
  27. 27.What is the value of the digit 7 in 16.974? (a) 0.7 (b) 7 (c) 0.07 (d) 0.007
  28. 28.Every pair follows the same rule: 1 : 1, 2 : 8, 4 : 64. What is 3 : ? (a) 28 (b) 36 (c) 3 (d) 27
  29. 29.Which of these numbers is divisible by 3? (a) 2599 (b) 2598 (c) 2602 (d) 2596
  30. 30.Which of these numbers is divisible by 3? (a) 2179 (b) 2176 (c) 2174 (d) 2175
  31. 31.Every pair follows the same rule: 2 : 8, 3 : 11, 4 : 14. What is 5 : ? (a) 17 (b) 18 (c) 20 (d) 11
  32. 32.If 6 kites cost ₹150, how much do 10 kites cost? (a) ₹154 (b) ₹1500 (c) ₹275 (d) ₹250
  33. 33.If 2x + 21 = 51, what is x? (a) 30 (b) 36 (c) 16 (d) 15
  34. 34.1.34 + 5.1 = ? (a) 6.54 (b) 6.44 (c) 1.85 (d) 6.34
  35. 35.4/8 + 3/4 = ? (a) 11/8 (b) 9/8 (c) 7/12 (d) 5/4
  36. 36.7/9 + 4/6 = ? (a) 3/2 (b) 13/9 (c) 11/15 (d) 25/18
  37. 37.If 9x − 79 = 47, what is x? (a) 15 (b) 13 (c) 126 (d) 14
  38. 38.Which fraction is greater: 1/5 or 5/9? (a) 5/9 (b) 1/5 (c) They are equal
  39. 39.If 2 pens cost ₹26, how much do 3 pens cost? (a) ₹27 (b) ₹39 (c) ₹78 (d) ₹52
  40. 40.A rectangle has an area of 14 sq cm and a length of 7 cm. What is its width? (a) 2 cm (b) 4 cm (c) 7 cm (d) 3 cm

Answer key

  1. ₹5400
  2. 0.03
  3. 34
  4. 3
  5. 48
  6. 9/10
  7. 10%
  8. 940
  9. 14
  10. 0.072
  11. 60
  12. Saturday
  13. ₹540
  14. 8
  15. 56
  16. 3 cm
  17. ₹75
  18. ₹205
  19. 7%
  20. 12 days
  21. 12 cm
  22. 12
  23. Tuesday
  24. 2816
  25. Monday
  26. ₹120
  27. 0.07
  28. 27
  29. 2598
  30. 2175
  31. 17
  32. ₹250
  33. 15
  34. 6.44
  35. 5/4
  36. 13/9
  37. 14
  38. 5/9
  39. ₹39
  40. 2 cm

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