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Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 703 · 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.A teacher has 14 pencils and 21 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 7 (b) 1 (c) 14 (d) 42
  2. 2.What is the smallest number you must add to 221 to make it divisible by 8? (a) 5 (b) 2 (c) 3 (d) 4
  3. 3.9 workers can build a wall in 6 days. How many days will 2 workers take, working at the same speed? (a) 27 days (b) 13 days (c) 28 days (d) 26 days
  4. 4.In how many years will ₹6000 earn ₹1320 simple interest at 11% per year? (a) 1 year (b) 4 years (c) 2 years (d) 3 years
  5. 5.If 9x + 1 = 3x + 61, what is x? (a) 5 (b) 10 (c) 12 (d) 11
  6. 6.8 workers can build a wall in 4 days. How many days will 2 workers take, working at the same speed? (a) 10 days (b) 16 days (c) 1 day (d) 17 days
  7. 7.Which of these numbers is divisible by 3? (a) 1300 (b) 1296 (c) 1295 (d) 1298
  8. 8.Which fraction is greater: 5/9 or 7/12? (a) 7/12 (b) They are equal (c) 5/9
  9. 9.2/5 + 2/3 = ? (a) 17/15 (b) 1/2 (c) 16/15 (d) 1
  10. 10.Today is Wednesday. What day of the week will it be after 24 days? (a) Saturday (b) Friday (c) Monday (d) Sunday
  11. 11.Today is Thursday. What day of the week will it be after 64 days? (a) Thursday (b) Saturday (c) Sunday (d) Friday
  12. 12.The simple interest on ₹3500 for 2 years is ₹350. What is the rate per year? (a) 4% (b) 10% (c) 5% (d) 6%
  13. 13.If 4 July is a Saturday, what day of the week is 19 July? (a) Tuesday (b) Sunday (c) Saturday (d) Monday
  14. 14.If 9x − 39 = 96, what is x? (a) 14 (b) 135 (c) 16 (d) 15
  15. 15.If 3 May is a Wednesday, what day of the week is 19 May? (a) Sunday (b) Saturday (c) Friday (d) Thursday
  16. 16.Which is the smallest: 0.6, 0.63, 0.066, 0.598? (a) 0.6 (b) 0.63 (c) 0.066 (d) 0.598
  17. 17.Which fraction is greater: 2/3 or 3/5? (a) 3/5 (b) 2/3 (c) They are equal
  18. 18.In how many years will ₹10000 earn ₹800 simple interest at 2% per year? (a) 8 years (b) 5 years (c) 3 years (d) 4 years
  19. 19.What is the simple interest on ₹6500 at 2% per year for 3 years? (a) ₹520 (b) ₹390 (c) ₹6890 (d) ₹130
  20. 20.The simple interest on ₹1000 for 4 years is ₹120. What is the rate per year? (a) 12% (b) 2% (c) 3% (d) 4%
  21. 21.What is the average of 44, 24, 33, 45 and 39? (a) 38 (b) 37 (c) 39 (d) 36
  22. 22.₹451 is shared between two friends in the ratio 3 : 8. How much is the bigger share? (a) ₹328 (b) ₹123 (c) ₹41 (d) ₹369
  23. 23.A rectangle is 6 cm long and 2 cm wide. What is its area? (a) 8 sq cm (b) 16 sq cm (c) 18 sq cm (d) 12 sq cm
  24. 24.A rectangle has an area of 24 sq cm and a length of 8 cm. What is its width? (a) 3 cm (b) 16 cm (c) 6 cm (d) 4 cm
  25. 25.If 30 April is a Saturday, what day of the week is 19 May? (a) Saturday (b) Wednesday (c) Friday (d) Thursday
  26. 26.What is the value of the digit 8 in 95.812? (a) 0.08 (b) 0.008 (c) 0.8 (d) 8
  27. 27.2/3 + 2/7 = ? (a) 19/21 (b) 2/5 (c) 1 (d) 20/21
  28. 28.What is 5% of 940? (a) 893 (b) 94 (c) 470 (d) 47
  29. 29.A rectangle is 6 cm long and 3 cm wide. What is its area? (a) 9 sq cm (b) 19 sq cm (c) 24 sq cm (d) 18 sq cm
  30. 30.What is the remainder when 602 is divided by 10? (a) 3 (b) 1 (c) 8 (d) 2
  31. 31.What is 25% of 1000? (a) 500 (b) 750 (c) 250 (d) 2500
  32. 32.A rectangle has an area of 180 sq cm and a length of 18 cm. What is its width? (a) 20 cm (b) 11 cm (c) 10 cm (d) 162 cm
  33. 33.The average of 6 numbers is 36. When one number is taken away, the average of the rest is 41. Which number was taken away? (a) 12 (b) 36 (c) 11 (d) 77
  34. 34.What is the value of the digit 3 in 16.283? (a) 0.03 (b) 3 (c) 0.003 (d) 0.3
  35. 35.Which is the greatest: 0.153, 0.2, 0.036, 0.25? (a) 0.153 (b) 0.2 (c) 0.036 (d) 0.25
  36. 36.Every pair follows the same rule: 3 : 8, 5 : 24, 7 : 48. What is 4 : ? (a) 16 (b) 9 (c) 15 (d) 12
  37. 37.6.16 + 5.1 = ? (a) 11.26 (b) 11.16 (c) 6.67 (d) 11.36
  38. 38.What is the simple interest on ₹3000 at 11% per year for 5 years? (a) ₹330 (b) ₹1650 (c) ₹1980 (d) ₹4650
  39. 39.What is the average of all the whole numbers from 44 to 54? (a) 10 (b) 50 (c) 49 (d) 5
  40. 40.What is the smallest number you must add to 629 to make it divisible by 11? (a) 8 (b) 10 (c) 2 (d) 9

Answer key

  1. 7
  2. 3
  3. 27 days
  4. 2 years
  5. 10
  6. 16 days
  7. 1296
  8. 7/12
  9. 16/15
  10. Saturday
  11. Friday
  12. 5%
  13. Sunday
  14. 15
  15. Friday
  16. 0.066
  17. 2/3
  18. 4 years
  19. ₹390
  20. 3%
  21. 37
  22. ₹328
  23. 12 sq cm
  24. 3 cm
  25. Thursday
  26. 0.8
  27. 20/21
  28. 47
  29. 18 sq cm
  30. 2
  31. 250
  32. 10 cm
  33. 11
  34. 0.003
  35. 0.25
  36. 15
  37. 11.26
  38. ₹1650
  39. 49
  40. 9

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