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Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 539 · 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 9x − 3 = 87, what is x? (a) 11 (b) 9 (c) 90 (d) 10
  2. 2.Which fraction is greater: 4/5 or 3/7? (a) They are equal (b) 3/7 (c) 4/5
  3. 3.3 workers can build a wall in 11 days. How many days will 11 workers take, working at the same speed? (a) 19 days (b) 4 days (c) 3 days (d) 2 days
  4. 4.Which of these numbers is divisible by 6? (a) 4275 (b) 4272 (c) 4279 (d) 4270
  5. 5.The simple interest on ₹2000 for 5 years is ₹500. What is the rate per year? (a) 5% (b) 6% (c) 25% (d) 4%
  6. 6.What is 30% of 200? (a) 600 (b) 120 (c) 60 (d) 140
  7. 7.What is the average of 28, 33, 42 and 5? (a) 26 (b) 28 (c) 36 (d) 27
  8. 8.Today is Friday. What day of the week will it be after 47 days? (a) Thursday (b) Tuesday (c) Friday (d) Wednesday
  9. 9.If 3 July is a Wednesday, what day of the week is 11 July? (a) Thursday (b) Friday (c) Wednesday (d) Saturday
  10. 10.What is the value of the digit 4 in 41.578? (a) 4 (b) 40 (c) 0.04 (d) 0.4
  11. 11.Every pair follows the same rule: 3 : 18, 4 : 25, 5 : 34. What is 9 : ? (a) 70 (b) 54 (c) 24 (d) 90
  12. 12.What is the units digit of 8^51? (a) 6 (b) 4 (c) 2 (d) 8
  13. 13.If 6x + 6 = 66, what is x? (a) 12 (b) 11 (c) 10 (d) 60
  14. 14.In how many years will ₹4000 earn ₹1200 simple interest at 10% per year? (a) 4 years (b) 6 years (c) 3 years (d) 2 years
  15. 15.Which is the greatest: 0.043, 0.294, 0.31, 0.3? (a) 0.043 (b) 0.294 (c) 0.31 (d) 0.3
  16. 16.What is 1/2 of 6? (a) 2 (b) 4 (c) 6 (d) 3
  17. 17.A rectangle has an area of 120 sq cm and a length of 12 cm. What is its width? (a) 108 cm (b) 10 cm (c) 20 cm (d) 11 cm
  18. 18.A shopkeeper buys a toy for ₹700 and sells it for ₹980. What is his profit percent? (a) 35% (b) 45% (c) 40% (d) 41%
  19. 19.A rectangle is 8 cm long and 3 cm wide. What is its area? (a) 11 sq cm (b) 22 sq cm (c) 24 sq cm (d) 32 sq cm
  20. 20.A teacher has 16 pencils and 28 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 2 (b) 12 (c) 4 (d) 16
  21. 21.Which of these numbers is divisible by 8? (a) 2269 (b) 2284 (c) 2272 (d) 2279
  22. 22.The simple interest on ₹1000 for 2 years is ₹80. What is the rate per year? (a) 8% (b) 4% (c) 3% (d) 5%
  23. 23.If 11 July is a Monday, what day of the week is 19 July? (a) Tuesday (b) Thursday (c) Wednesday (d) Monday
  24. 24.4 workers can build a wall in 14 days. How many days will 8 workers take, working at the same speed? (a) 10 days (b) 28 days (c) 7 days (d) 18 days
  25. 25.What is the simple interest on ₹4500 at 11% per year for 2 years? (a) ₹990 (b) ₹5490 (c) ₹1485 (d) ₹495
  26. 26.A shopkeeper buys a toy for ₹800 and sells it for ₹600. What is his loss percent? (a) 20% (b) 25% (c) 26% (d) 30%
  27. 27.The average of 5 numbers is 15. When one number is taken away, the average of the rest is 12. Which number was taken away? (a) 26 (b) 28 (c) 15 (d) 27
  28. 28.Which is the greatest: 0.72, 0.7, 0.011, 0.616? (a) 0.72 (b) 0.7 (c) 0.011 (d) 0.616
  29. 29.A rectangle has an area of 170 sq cm and a length of 17 cm. What is its width? (a) 20 cm (b) 11 cm (c) 153 cm (d) 10 cm
  30. 30.If 5x + 4 = 49, what is x? (a) 10 (b) 8 (c) 9 (d) 45
  31. 31.What is the value of the digit 5 in 75.918? (a) 50 (b) 0.5 (c) 5 (d) 0.05
  32. 32.A rectangle is 15 cm long and 8 cm wide. What is its area? (a) 23 sq cm (b) 46 sq cm (c) 120 sq cm (d) 135 sq cm
  33. 33.5 workers can build a wall in 8 days. How many days will 8 workers take, working at the same speed? (a) 11 days (b) 4 days (c) 6 days (d) 5 days
  34. 34.₹1500 is invested at 8% per year simple interest. What is the amount after 2 years? (a) ₹1860 (b) ₹1620 (c) ₹1740 (d) ₹240
  35. 35.What is the value of the digit 3 in 35.918? (a) 0.3 (b) 3 (c) 30 (d) 0.03
  36. 36.Which of these numbers is divisible by 9? (a) 1066 (b) 1045 (c) 1053 (d) 1056
  37. 37.If 3 kites cost ₹42, how much do 11 kites cost? (a) ₹168 (b) ₹50 (c) ₹154 (d) ₹462
  38. 38.What is the simple interest on ₹5000 at 12% per year for 4 years? (a) ₹3000 (b) ₹600 (c) ₹2400 (d) ₹7400
  39. 39.Which fraction is greater: 1/9 or 3/4? (a) 3/4 (b) They are equal (c) 1/9
  40. 40.If x/5 + 2 = 9, what is x? (a) 55 (b) 43 (c) 35 (d) 7

Answer key

  1. 10
  2. 4/5
  3. 3 days
  4. 4272
  5. 5%
  6. 60
  7. 27
  8. Wednesday
  9. Thursday
  10. 40
  11. 90
  12. 2
  13. 10
  14. 3 years
  15. 0.31
  16. 3
  17. 10 cm
  18. 40%
  19. 24 sq cm
  20. 4
  21. 2272
  22. 4%
  23. Tuesday
  24. 7 days
  25. ₹990
  26. 25%
  27. 27
  28. 0.72
  29. 10 cm
  30. 9
  31. 5
  32. 120 sq cm
  33. 5 days
  34. ₹1740
  35. 30
  36. 1053
  37. ₹154
  38. ₹2400
  39. 3/4
  40. 35

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