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Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 242 · 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.The simple interest on ₹3000 for 2 years is ₹360. What is the rate per year? (a) 12% (b) 7% (c) 5% (d) 6%
  2. 2.A shopkeeper buys a toy for ₹920 and sells it for ₹644. What is his loss percent? (a) 35% (b) 31% (c) 25% (d) 30%
  3. 3.A rectangle is 12 cm long and 8 cm wide. What is its perimeter? (a) 20 cm (b) 96 cm (c) 40 cm (d) 32 cm
  4. 4.Which of these numbers is divisible by 4? (a) 3295 (b) 3290 (c) 3299 (d) 3292
  5. 5.Two bells ring every 6 minutes and every 21 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 27 min (b) 42 min (c) 3 min (d) 126 min
  6. 6.Which is the smallest: 0.38, 0.3, 0.031, 0.215? (a) 0.38 (b) 0.3 (c) 0.031 (d) 0.215
  7. 7.A rectangle has an area of 12 sq cm and a length of 6 cm. What is its width? (a) 2 cm (b) 3 cm (c) 4 cm (d) 6 cm
  8. 8.1/5 + 1/2 = ? (a) 4/5 (b) 3/5 (c) 7/10 (d) 2/7
  9. 9.5 workers can build a wall in 7 days. How many days will 7 workers take, working at the same speed? (a) 6 days (b) 5 days (c) 4 days (d) 9 days
  10. 10.In how many years will ₹5000 earn ₹750 simple interest at 3% per year? (a) 6 years (b) 4 years (c) 5 years (d) 10 years
  11. 11.If 5x − 7 = 3, what is x? (a) 3 (b) 2 (c) 1 (d) 10
  12. 12.What is the units digit of 2^49? (a) 8 (b) 6 (c) 2 (d) 4
  13. 13.If 10 January is a Sunday, what day of the week is 25 January? (a) Tuesday (b) Sunday (c) Wednesday (d) Monday
  14. 14.Two ribbons are 40 cm and 50 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 200 cm (b) 40 cm (c) 5 cm (d) 10 cm
  15. 15.₹3500 is invested at 5% per year simple interest. What is the amount after 3 years? (a) ₹525 (b) ₹3675 (c) ₹4200 (d) ₹4025
  16. 16.What is the units digit of 7^58? (a) 1 (b) 9 (c) 7 (d) 3
  17. 17.Two ribbons are 33 cm and 55 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 22 cm (b) 1 cm (c) 33 cm (d) 11 cm
  18. 18.If 2x + 2 = 28, what is x? (a) 26 (b) 15 (c) 13 (d) 14
  19. 19.Every pair follows the same rule: 5 : 13, 6 : 15, 7 : 17. What is 4 : ? (a) 12 (b) 10 (c) 11 (d) 13
  20. 20.A square has a perimeter of 40 cm. What is its area? (a) 100 sq cm (b) 40 sq cm (c) 20 sq cm (d) 121 sq cm
  21. 21.Today is Saturday. What day of the week will it be after 34 days? (a) Saturday (b) Thursday (c) Friday (d) Sunday
  22. 22.Every pair follows the same rule: 2 : 19, 3 : 20, 4 : 21. What is 8 : ? (a) 27 (b) 25 (c) 26 (d) 24
  23. 23.₹6000 is invested at 10% per year simple interest. What is the amount after 5 years? (a) ₹9000 (b) ₹6600 (c) ₹3000 (d) ₹9600
  24. 24.If x/2 + 7 = 19, what is x? (a) 52 (b) 12 (c) 24 (d) 31
  25. 25.What is 2/3 of 9? (a) 9 (b) 7 (c) 3 (d) 6
  26. 26.A shopkeeper buys a toy for ₹520 and sells it for ₹494. What is his loss percent? (a) 26% (b) 6% (c) 5% (d) 10%
  27. 27.Which fraction is greater: 1/5 or 1/3? (a) They are equal (b) 1/3 (c) 1/5
  28. 28.A rectangle is 6 cm long and 2 cm wide. What is its area? (a) 18 sq cm (b) 16 sq cm (c) 8 sq cm (d) 12 sq cm
  29. 29.Every pair follows the same rule: 2 : 8, 3 : 27, 5 : 125. What is 1 : ? (a) 4 (b) 7 (c) 1 (d) 2
  30. 30.What is the average of all the whole numbers from 26 to 48? (a) 11 (b) 22 (c) 38 (d) 37
  31. 31.Two bells ring every 10 minutes and every 14 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 2 min (b) 24 min (c) 140 min (d) 70 min
  32. 32.If 3 August is a Friday, what day of the week is 17 August? (a) Sunday (b) Friday (c) Thursday (d) Saturday
  33. 33.What is the value of the digit 3 in 24.173? (a) 3 (b) 0.003 (c) 0.3 (d) 0.03
  34. 34.2/3 + 2/7 = ? (a) 20/21 (b) 19/21 (c) 2/5 (d) 1
  35. 35.What is 4/5 of 40? (a) 33 (b) 8 (c) 40 (d) 32
  36. 36.If 4x + 10 = 2x + 28, what is x? (a) 3 (b) 9 (c) 10 (d) 19
  37. 37.A shopkeeper buys a toy for ₹480 and sells it for ₹384. What is his loss percent? (a) 25% (b) 20% (c) 15% (d) 96%
  38. 38.4.84 + 4.7 = ? (a) 9.44 (b) 9.64 (c) 5.31 (d) 9.54
  39. 39.If 12 December is a Sunday, what day of the week is 28 December? (a) Monday (b) Wednesday (c) Tuesday (d) Thursday
  40. 40.What is the simple interest on ₹2500 at 5% per year for 4 years? (a) ₹500 (b) ₹125 (c) ₹3000 (d) ₹625

Answer key

  1. 6%
  2. 30%
  3. 40 cm
  4. 3292
  5. 42 min
  6. 0.031
  7. 2 cm
  8. 7/10
  9. 5 days
  10. 5 years
  11. 2
  12. 2
  13. Monday
  14. 10 cm
  15. ₹4025
  16. 9
  17. 11 cm
  18. 13
  19. 11
  20. 100 sq cm
  21. Friday
  22. 25
  23. ₹9000
  24. 24
  25. 6
  26. 5%
  27. 1/3
  28. 12 sq cm
  29. 1
  30. 37
  31. 70 min
  32. Friday
  33. 0.003
  34. 20/21
  35. 32
  36. 9
  37. 20%
  38. 9.54
  39. Tuesday
  40. ₹500

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