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Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 82 · 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 smallest number you must add to 312 to make it divisible by 10? (a) 2 (b) 7 (c) 8 (d) 9
  2. 2.A shopkeeper buys a toy for ₹880 and sells it for ₹924. What is his profit percent? (a) 44% (b) 5% (c) 6% (d) 10%
  3. 3.What is 75% of 580? (a) 435 (b) 4350 (c) 870 (d) 145
  4. 4.Two bells ring every 12 minutes and every 20 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 32 min (b) 240 min (c) 60 min (d) 4 min
  5. 5.₹3500 is invested at 4% per year simple interest. What is the amount after 5 years? (a) ₹3640 (b) ₹4340 (c) ₹700 (d) ₹4200
  6. 6.The simple interest on ₹5500 for 2 years is ₹770. What is the rate per year? (a) 6% (b) 7% (c) 14% (d) 8%
  7. 7.What is the smallest number you must add to 305 to make it divisible by 4? (a) 1 (b) 2 (c) 3
  8. 8.Which fraction is greater: 4/9 or 3/4? (a) They are equal (b) 4/9 (c) 3/4
  9. 9.₹7000 is invested at 3% per year simple interest. What is the amount after 5 years? (a) ₹8260 (b) ₹8050 (c) ₹7210 (d) ₹1050
  10. 10.If 8x − 70 = 10, what is x? (a) 80 (b) 9 (c) 10 (d) 11
  11. 11.Which of these numbers is divisible by 8? (a) 1911 (b) 1912 (c) 1927 (d) 1917
  12. 12.Every pair follows the same rule: 4 : 16, 6 : 36, 7 : 49. What is 9 : ? (a) 36 (b) 75 (c) 81 (d) 21
  13. 13.The simple interest on ₹9000 for 3 years is ₹2700. What is the rate per year? (a) 30% (b) 11% (c) 9% (d) 10%
  14. 14.The average of 7 numbers is 49. When one number is taken away, the average of the rest is 45. Which number was taken away? (a) 94 (b) 73 (c) 28 (d) 49
  15. 15.What is 5% of 480? (a) 456 (b) 240 (c) 48 (d) 24
  16. 16.Every pair follows the same rule: 1 : 1, 2 : 8, 4 : 64. What is 3 : ? (a) 27 (b) 28 (c) 36 (d) 3
  17. 17.In how many years will ₹1500 earn ₹90 simple interest at 2% per year? (a) 6 years (b) 4 years (c) 3 years (d) 2 years
  18. 18.A square has a perimeter of 56 cm. What is its area? (a) 196 sq cm (b) 56 sq cm (c) 28 sq cm (d) 225 sq cm
  19. 19.If 18 July is a Saturday, what day of the week is 7 August? (a) Sunday (b) Saturday (c) Thursday (d) Friday
  20. 20.Two ribbons are 64 cm and 72 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 4 cm (b) 576 cm (c) 64 cm (d) 8 cm
  21. 21.A rectangle has an area of 24 sq cm and a length of 8 cm. What is its width? (a) 6 cm (b) 3 cm (c) 4 cm (d) 16 cm
  22. 22.3.44 + 8.2 = ? (a) 11.54 (b) 11.64 (c) 4.26 (d) 11.74
  23. 23.A rectangle is 12 cm long and 7 cm wide. What is its perimeter? (a) 19 cm (b) 84 cm (c) 31 cm (d) 38 cm
  24. 24.Which is the greatest: 0.015, 0.272, 0.32, 0.3? (a) 0.015 (b) 0.272 (c) 0.32 (d) 0.3
  25. 25.A rectangle is 12 cm long and 8 cm wide. What is its perimeter? (a) 32 cm (b) 40 cm (c) 20 cm (d) 96 cm
  26. 26.What is 60% of 500? (a) 3000 (b) 300 (c) 200 (d) 600
  27. 27.What is 2/3 of 12? (a) 4 (b) 8 (c) 9 (d) 12
  28. 28.₹176 is shared between two friends in the ratio 5 : 6. How much is the bigger share? (a) ₹80 (b) ₹16 (c) ₹88 (d) ₹96
  29. 29.A teacher has 6 pencils and 27 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 3 (b) 6 (c) 1 (d) 21
  30. 30.Every pair follows the same rule: 1 : 1, 2 : 8, 3 : 27. What is 6 : ? (a) 84 (b) 216 (c) 217 (d) 6
  31. 31.The average of 8 numbers is 16. When one number is taken away, the average of the rest is 12. Which number was taken away? (a) 44 (b) 28 (c) 16 (d) 32
  32. 32.3/6 + 1/2 = ? (a) 5/6 (b) 1/2 (c) 1 (d) 7/6
  33. 33.7 workers can build a wall in 4 days. How many days will 4 workers take, working at the same speed? (a) 8 days (b) 6 days (c) 1 day (d) 7 days
  34. 34.Which fraction is greater: 1/8 or 2/9? (a) 2/9 (b) 1/8 (c) They are equal
  35. 35.What is the smallest number of sweets that can be shared equally among 20 children or among 25 children, with none left over? (a) 500 (b) 200 (c) 45 (d) 100
  36. 36.The average of 4 numbers is 45. When one number is taken away, the average of the rest is 49. Which number was taken away? (a) 34 (b) 94 (c) 33 (d) 45
  37. 37.1/4 + 1/4 = ? (a) 3/4 (b) 1/4 (c) 1 (d) 1/2
  38. 38.What is 1/2 of 16? (a) 8 (b) 9 (c) 7 (d) 16
  39. 39.₹88 is shared between two friends in the ratio 1 : 3. How much is the bigger share? (a) ₹88 (b) ₹44 (c) ₹66 (d) ₹22
  40. 40.A rectangle is 16 cm long and 4 cm wide. What is its area? (a) 40 sq cm (b) 80 sq cm (c) 20 sq cm (d) 64 sq cm

Answer key

  1. 8
  2. 5%
  3. 435
  4. 60 min
  5. ₹4200
  6. 7%
  7. 3
  8. 3/4
  9. ₹8050
  10. 10
  11. 1912
  12. 81
  13. 10%
  14. 73
  15. 24
  16. 27
  17. 3 years
  18. 196 sq cm
  19. Friday
  20. 8 cm
  21. 3 cm
  22. 11.64
  23. 38 cm
  24. 0.32
  25. 40 cm
  26. 300
  27. 8
  28. ₹96
  29. 3
  30. 216
  31. 44
  32. 1
  33. 7 days
  34. 2/9
  35. 100
  36. 33
  37. 1/2
  38. 8
  39. ₹66
  40. 64 sq cm

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