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Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 916 · 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. 1.9 workers can build a wall in 10 days. How many days will 3 workers take, working at the same speed? (a) 31 days (b) 30 days (c) 4 days (d) 16 days
  2. 2.If 5x + 3 = x + 31, what is x? (a) 6 (b) 7 (c) 9 (d) 8
  3. 3.Today is Monday. What day of the week will it be after 84 days? (a) Sunday (b) Monday (c) Wednesday (d) Tuesday
  4. 4.If 9x − 26 = 28, what is x? (a) 5 (b) 54 (c) 7 (d) 6
  5. 5.Every pair follows the same rule: 2 : 8, 3 : 11, 8 : 26. What is 7 : ? (a) 23 (b) 28 (c) 24 (d) 13
  6. 6.Which of these numbers is divisible by 4? (a) 2419 (b) 2422 (c) 2416 (d) 2413
  7. 7.8.21 + 8.1 = ? (a) 16.21 (b) 9.02 (c) 16.41 (d) 16.31
  8. 8.If 14 October is a Saturday, what day of the week is 29 October? (a) Saturday (b) Sunday (c) Monday (d) Tuesday
  9. 9.7 workers can build a wall in 11 days. How many days will 11 workers take, working at the same speed? (a) 7 days (b) 6 days (c) 15 days (d) 8 days
  10. 10.The average of 5 numbers is 41. When one number is taken away, the average of the rest is 38. Which number was taken away? (a) 79 (b) 53 (c) 41 (d) 15
  11. 11.The simple interest on ₹2500 for 2 years is ₹500. What is the rate per year? (a) 9% (b) 20% (c) 11% (d) 10%
  12. 12.The average of 5 numbers is 36. When one number is taken away, the average of the rest is 32. Which number was taken away? (a) 52 (b) 20 (c) 68 (d) 36
  13. 13.Which fraction is greater: 1/6 or 7/12? (a) 1/6 (b) They are equal (c) 7/12
  14. 14.Which fraction is greater: 4/11 or 3/10? (a) They are equal (b) 4/11 (c) 3/10
  15. 15.Which fraction is greater: 5/6 or 1/10? (a) 5/6 (b) They are equal (c) 1/10
  16. 16.A shopkeeper buys a toy for ₹680 and sells it for ₹748. What is his profit percent? (a) 15% (b) 68% (c) 10% (d) 5%
  17. 17.Two bells ring every 10 minutes and every 15 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 5 min (b) 30 min (c) 25 min (d) 150 min
  18. 18.4.18 + 4.1 = ? (a) 8.18 (b) 8.38 (c) 8.28 (d) 4.59
  19. 19.If x/2 + 2 = 14, what is x? (a) 24 (b) 26 (c) 12 (d) 32
  20. 20.What is the smallest number of sweets that can be shared equally among 12 children or among 14 children, with none left over? (a) 84 (b) 26 (c) 168 (d) 85
  21. 21.What is the simple interest on ₹1000 at 2% per year for 5 years? (a) ₹1100 (b) ₹100 (c) ₹20 (d) ₹120
  22. 22.Every pair follows the same rule: 2 : 16, 4 : 26, 5 : 31. What is 7 : ? (a) 21 (b) 41 (c) 42 (d) 56
  23. 23.What is the smallest number you must add to 468 to make it divisible by 11? (a) 7 (b) 4 (c) 5 (d) 6
  24. 24.Today is Monday. What day of the week will it be after 10 days? (a) Thursday (b) Saturday (c) Wednesday (d) Friday
  25. 25.₹7500 is invested at 12% per year simple interest. What is the amount after 4 years? (a) ₹11100 (b) ₹3600 (c) ₹8400 (d) ₹12000
  26. 26.If 10 June is a Tuesday, what day of the week is 5 July? (a) Monday (b) Friday (c) Saturday (d) Sunday
  27. 27.If 6x − 12 = 6, what is x? (a) 18 (b) 4 (c) 2 (d) 3
  28. 28.What is the average of 21, 29, 24 and 54? (a) 34 (b) 33 (c) 31 (d) 32
  29. 29.A shopkeeper buys a toy for ₹400 and sells it for ₹280. What is his loss percent? (a) 31% (b) 25% (c) 35% (d) 30%
  30. 30.What is the units digit of 4^46? (a) 4 (b) 6 (c) 7 (d) 5
  31. 31.If 5 mangoes cost ₹25, how much do 3 mangoes cost? (a) ₹15 (b) ₹75 (c) ₹20 (d) ₹23
  32. 32.6/9 + 3/6 = ? (a) 3/5 (b) 10/9 (c) 7/6 (d) 11/9
  33. 33.₹57 is shared between two friends in the ratio 1 : 2. How much is the bigger share? (a) ₹57 (b) ₹38 (c) ₹39 (d) ₹19
  34. 34.What is 15% of 180? (a) 54 (b) 27 (c) 270 (d) 153
  35. 35.What is the simple interest on ₹7000 at 9% per year for 3 years? (a) ₹8890 (b) ₹630 (c) ₹1890 (d) ₹2520
  36. 36.A rectangle has an area of 45 sq cm and a length of 9 cm. What is its width? (a) 5 cm (b) 6 cm (c) 36 cm (d) 10 cm
  37. 37.What is the smallest number you must add to 296 to make it divisible by 6? (a) 4 (b) 5 (c) 3 (d) 2
  38. 38.What is the simple interest on ₹9500 at 11% per year for 5 years? (a) ₹14725 (b) ₹6270 (c) ₹1045 (d) ₹5225
  39. 39.A rectangle is 8 cm long and 6 cm wide. What is its area? (a) 28 sq cm (b) 14 sq cm (c) 56 sq cm (d) 48 sq cm
  40. 40.7.88 + 4.9 = ? (a) 12.68 (b) 12.78 (c) 12.88 (d) 8.37

Answer key

  1. 30 days
  2. 7
  3. Monday
  4. 6
  5. 23
  6. 2416
  7. 16.31
  8. Sunday
  9. 7 days
  10. 53
  11. 10%
  12. 52
  13. 7/12
  14. 4/11
  15. 5/6
  16. 10%
  17. 30 min
  18. 8.28
  19. 24
  20. 84
  21. ₹100
  22. 41
  23. 5
  24. Thursday
  25. ₹11100
  26. Saturday
  27. 3
  28. 32
  29. 30%
  30. 6
  31. ₹15
  32. 7/6
  33. ₹38
  34. 27
  35. ₹1890
  36. 5 cm
  37. 4
  38. ₹5225
  39. 48 sq cm
  40. 12.78

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