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Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 218 · 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.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) 25 min (c) 30 min (d) 150 min
  2. 2.Today is Friday. What day of the week will it be after 12 days? (a) Friday (b) Tuesday (c) Thursday (d) Wednesday
  3. 3.A shopkeeper buys a toy for ₹200 and sells it for ₹210. What is his profit percent? (a) 10% (b) 6% (c) 4% (d) 5%
  4. 4.If 7x − 5 = 30, what is x? (a) 35 (b) 6 (c) 4 (d) 5
  5. 5.Every pair follows the same rule: 2 : 4, 3 : 9, 4 : 16. What is 9 : ? (a) 81 (b) 18 (c) 11 (d) 51
  6. 6.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) 1 (b) 6 (c) 21 (d) 3
  7. 7.What is the smallest number you must add to 583 to make it divisible by 8? (a) 1 (b) 2 (c) 3 (d) 7
  8. 8.The average of 7 numbers is 13. When one number is taken away, the average of the rest is 10. Which number was taken away? (a) 23 (b) 31 (c) 21 (d) 13
  9. 9.1/5 + 4/6 = ? (a) 9/10 (b) 5/6 (c) 5/11 (d) 13/15
  10. 10.3/6 + 2/3 = ? (a) 1 (b) 5/9 (c) 7/6 (d) 4/3
  11. 11.Every pair follows the same rule: 2 : 19, 7 : 24, 8 : 25. What is 3 : ? (a) 21 (b) 19 (c) 22 (d) 20
  12. 12.Which of these numbers is divisible by 9? (a) 1572 (b) 1577 (c) 1592 (d) 1575
  13. 13.Every pair follows the same rule: 1 : 1, 4 : 64, 5 : 125. What is 6 : ? (a) 6 (b) 217 (c) 216 (d) 186
  14. 14.A rectangle is 8 cm long and 5 cm wide. What is its area? (a) 26 sq cm (b) 13 sq cm (c) 48 sq cm (d) 40 sq cm
  15. 15.A batter has an average of 57 runs in 6 matches. How many runs are needed in the next match to raise the average to 59? (a) 14 (b) 71 (c) 61 (d) 59
  16. 16.If 14 November is a Thursday, what day of the week is 14 December? (a) Friday (b) Saturday (c) Sunday (d) Monday
  17. 17.In how many years will ₹9500 earn ₹855 simple interest at 3% per year? (a) 4 years (b) 2 years (c) 6 years (d) 3 years
  18. 18.What is the simple interest on ₹2000 at 9% per year for 2 years? (a) ₹2360 (b) ₹540 (c) ₹360 (d) ₹180
  19. 19.If 4 August is a Thursday, what day of the week is 15 August? (a) Sunday (b) Wednesday (c) Tuesday (d) Monday
  20. 20.Which is the greatest: 0.078, 0.162, 0.23, 0.2? (a) 0.078 (b) 0.162 (c) 0.23 (d) 0.2
  21. 21.What is 3/4 of 8? (a) 2 (b) 7 (c) 8 (d) 6
  22. 22.What is 75% of 640? (a) 480 (b) 4800 (c) 160 (d) 960
  23. 23.A batter has an average of 52 runs in 9 matches. How many runs are needed in the next match to raise the average to 55? (a) 55 (b) 30 (c) 82 (d) 58
  24. 24.Every pair follows the same rule: 2 : 8, 7 : 13, 8 : 14. What is 4 : ? (a) 9 (b) 10 (c) 16 (d) 11
  25. 25.If 9 pens cost ₹135, how much do 3 pens cost? (a) ₹45 (b) ₹405 (c) ₹129 (d) ₹60
  26. 26.A bag marked ₹900 is sold at a 15% discount. What is its selling price? (a) ₹135 (b) ₹765 (c) ₹885 (d) ₹1035
  27. 27.A batter has an average of 53 runs in 4 matches. How many runs are needed in the next match to raise the average to 55? (a) 55 (b) 10 (c) 63 (d) 57
  28. 28.What is the value of the digit 4 in 75.894? (a) 0.004 (b) 0.04 (c) 0.4 (d) 4
  29. 29.Which fraction is greater: 7/8 or 6/11? (a) 7/8 (b) 6/11 (c) They are equal
  30. 30.A rectangle is 14 cm long and 6 cm wide. What is its perimeter? (a) 84 cm (b) 34 cm (c) 40 cm (d) 20 cm
  31. 31.What is 1/8 of 32? (a) 28 (b) 8 (c) 5 (d) 4
  32. 32.₹154 is shared between two friends in the ratio 2 : 9. How much is the bigger share? (a) ₹14 (b) ₹77 (c) ₹28 (d) ₹126
  33. 33.A batter has an average of 28 runs in 5 matches. How many runs are needed in the next match to raise the average to 30? (a) 32 (b) 12 (c) 30 (d) 40
  34. 34.The average of 7 numbers is 16. When one number is taken away, the average of the rest is 14. Which number was taken away? (a) 16 (b) 30 (c) 14 (d) 28
  35. 35.If 3 December is a Monday, what day of the week is 11 December? (a) Tuesday (b) Wednesday (c) Monday (d) Thursday
  36. 36.What is the smallest number you must add to 143 to make it divisible by 3? (a) 1 (b) 2
  37. 37.Every pair follows the same rule: 2 : 18, 4 : 20, 8 : 24. What is 3 : ? (a) 20 (b) 18 (c) 27 (d) 19
  38. 38.Two ribbons are 24 cm and 84 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 60 cm (b) 6 cm (c) 24 cm (d) 12 cm
  39. 39.What is the simple interest on ₹4000 at 9% per year for 2 years? (a) ₹720 (b) ₹4720 (c) ₹360 (d) ₹1080
  40. 40.A rectangle has an area of 154 sq cm and a length of 14 cm. What is its width? (a) 22 cm (b) 12 cm (c) 11 cm (d) 140 cm

Answer key

  1. 30 min
  2. Wednesday
  3. 5%
  4. 5
  5. 81
  6. 3
  7. 1
  8. 31
  9. 13/15
  10. 7/6
  11. 20
  12. 1575
  13. 216
  14. 40 sq cm
  15. 71
  16. Saturday
  17. 3 years
  18. ₹360
  19. Monday
  20. 0.23
  21. 6
  22. 480
  23. 82
  24. 10
  25. ₹45
  26. ₹765
  27. 63
  28. 0.004
  29. 7/8
  30. 40 cm
  31. 4
  32. ₹126
  33. 40
  34. 28
  35. Tuesday
  36. 1
  37. 19
  38. 12 cm
  39. ₹720
  40. 11 cm

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