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Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 329 · 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.Which of these numbers is divisible by 4? (a) 1899 (b) 1896 (c) 1902 (d) 1894
  2. 2.1/6 + 5/6 = ? (a) 1/2 (b) 7/6 (c) 5/6 (d) 1
  3. 3.4 workers can build a wall in 14 days. How many days will 2 workers take, working at the same speed? (a) 16 days (b) 7 days (c) 28 days (d) 12 days
  4. 4.If 10 May is a Sunday, what day of the week is 20 May? (a) Thursday (b) Friday (c) Tuesday (d) Wednesday
  5. 5.3.06 + 9.7 = ? (a) 12.86 (b) 12.76 (c) 12.66 (d) 4.03
  6. 6.A rectangle is 15 cm long and 11 cm wide. What is its area? (a) 52 sq cm (b) 180 sq cm (c) 165 sq cm (d) 26 sq cm
  7. 7.A square has a perimeter of 28 cm. What is its area? (a) 14 sq cm (b) 64 sq cm (c) 49 sq cm (d) 28 sq cm
  8. 8.Every pair follows the same rule: 2 : 5, 7 : 10, 9 : 12. What is 5 : ? (a) 7 (b) 10 (c) 8 (d) 9
  9. 9.What is 30% of 940? (a) 2820 (b) 564 (c) 282 (d) 658
  10. 10.₹2000 is invested at 4% per year simple interest. What is the amount after 3 years? (a) ₹2080 (b) ₹2240 (c) ₹240 (d) ₹2320
  11. 11.A bag marked ₹840 is sold at a 40% discount. What is its selling price? (a) ₹800 (b) ₹504 (c) ₹336 (d) ₹1176
  12. 12.In how many years will ₹7500 earn ₹600 simple interest at 2% per year? (a) 3 years (b) 5 years (c) 4 years (d) 8 years
  13. 13.What is 1/8 of 64? (a) 9 (b) 56 (c) 16 (d) 8
  14. 14.If 3x + 6 = x + 22, what is x? (a) 14 (b) 8 (c) 4 (d) 9
  15. 15.A rectangle is 17 cm long and 4 cm wide. What is its perimeter? (a) 21 cm (b) 38 cm (c) 42 cm (d) 68 cm
  16. 16.Two ribbons are 12 cm and 27 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 3 cm (b) 15 cm (c) 1 cm (d) 12 cm
  17. 17.Every pair follows the same rule: 1 : 1, 5 : 125, 6 : 216. What is 2 : ? (a) 2 (b) 8 (c) 9 (d) 7
  18. 18.What is the units digit of 9^33? (a) 9 (b) 1 (c) 7 (d) 8
  19. 19.What is the smallest number you must add to 902 to make it divisible by 12? (a) 11 (b) 9 (c) 10 (d) 2
  20. 20.What is 3/7 of 42? (a) 18 (b) 6 (c) 24 (d) 19
  21. 21.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
  22. 22.If 2 mangoes cost ₹36, how much do 8 mangoes cost? (a) ₹144 (b) ₹288 (c) ₹42 (d) ₹162
  23. 23.A batter has an average of 27 runs in 5 matches. How many runs are needed in the next match to raise the average to 30? (a) 45 (b) 18 (c) 33 (d) 30
  24. 24.What is the average of all the whole numbers from 30 to 68? (a) 38 (b) 19 (c) 49 (d) 50
  25. 25.What is the remainder when 318 is divided by 5? (a) 2 (b) 1 (c) 3 (d) 4
  26. 26.If 27 August is a Wednesday, what day of the week is 1 September? (a) Sunday (b) Wednesday (c) Tuesday (d) Monday
  27. 27.8 workers can build a wall in 11 days. How many days will 11 workers take, working at the same speed? (a) 7 days (b) 9 days (c) 8 days (d) 14 days
  28. 28.Which fraction is greater: 1/4 or 8/11? (a) 1/4 (b) They are equal (c) 8/11
  29. 29.What is the smallest number you must add to 273 to make it divisible by 4? (a) 3 (b) 1 (c) 2
  30. 30.If 23 June is a Sunday, what day of the week is 11 July? (a) Friday (b) Saturday (c) Wednesday (d) Thursday
  31. 31.7 workers can build a wall in 14 days. How many days will 2 workers take, working at the same speed? (a) 19 days (b) 9 days (c) 4 days (d) 49 days
  32. 32.1.02 + 4.7 = ? (a) 5.72 (b) 5.62 (c) 5.82 (d) 1.49
  33. 33.4.37 + 9.5 = ? (a) 13.87 (b) 13.77 (c) 13.97 (d) 5.32
  34. 34.Every pair follows the same rule: 3 : 27, 4 : 36, 8 : 72. What is 5 : ? (a) 44 (b) 45 (c) 46 (d) 29
  35. 35.What is the remainder when 247 is divided by 10? (a) 8 (b) 6 (c) 3 (d) 7
  36. 36.Which fraction is greater: 5/7 or 1/3? (a) 5/7 (b) They are equal (c) 1/3
  37. 37.Today is Wednesday. What day of the week will it be after 67 days? (a) Saturday (b) Sunday (c) Monday (d) Tuesday
  38. 38.A square has a perimeter of 40 cm. What is its area? (a) 20 sq cm (b) 100 sq cm (c) 40 sq cm (d) 121 sq cm
  39. 39.A rectangle is 8 cm long and 5 cm wide. What is its perimeter? (a) 21 cm (b) 26 cm (c) 13 cm (d) 40 cm
  40. 40.What is the average of 35, 19, 23, 25 and 53? (a) 32 (b) 33 (c) 31 (d) 30

Answer key

  1. 1896
  2. 1
  3. 28 days
  4. Wednesday
  5. 12.76
  6. 165 sq cm
  7. 49 sq cm
  8. 8
  9. 282
  10. ₹2240
  11. ₹504
  12. 4 years
  13. 8
  14. 8
  15. 42 cm
  16. 3 cm
  17. 8
  18. 9
  19. 10
  20. 18
  21. 3 cm
  22. ₹144
  23. 45
  24. 49
  25. 3
  26. Monday
  27. 8 days
  28. 8/11
  29. 3
  30. Thursday
  31. 49 days
  32. 5.72
  33. 13.87
  34. 45
  35. 7
  36. 5/7
  37. Sunday
  38. 100 sq cm
  39. 26 cm
  40. 31

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