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Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 313 · 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.Every pair follows the same rule: 2 : 6, 6 : 18, 7 : 21. What is 8 : ? (a) 12 (b) 23 (c) 24 (d) 25
  2. 2.A shopkeeper buys a toy for ₹820 and sells it for ₹738. What is his loss percent? (a) 10% (b) 15% (c) 82% (d) 5%
  3. 3.Which is the greatest: 0.069, 0.72, 0.618, 0.7? (a) 0.069 (b) 0.72 (c) 0.618 (d) 0.7
  4. 4.Which fraction is greater: 1/9 or 3/4? (a) They are equal (b) 1/9 (c) 3/4
  5. 5.Every pair follows the same rule: 3 : 20, 7 : 24, 8 : 25. What is 6 : ? (a) 24 (b) 22 (c) 25 (d) 23
  6. 6.Today is Tuesday. What day of the week will it be after 33 days? (a) Tuesday (b) Monday (c) Sunday (d) Saturday
  7. 7.Which fraction is greater: 7/9 or 3/5? (a) They are equal (b) 3/5 (c) 7/9
  8. 8.If 2x − 6 = 12, what is x? (a) 9 (b) 10 (c) 3 (d) 18
  9. 9.What is 75% of 120? (a) 30 (b) 90 (c) 900 (d) 180
  10. 10.What is 5% of 100? (a) 95 (b) 5 (c) 50 (d) 10
  11. 11.Two bells ring every 9 minutes and every 21 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 30 min (b) 63 min (c) 189 min (d) 3 min
  12. 12.Today is Saturday. What day of the week will it be after 43 days? (a) Saturday (b) Monday (c) Tuesday (d) Sunday
  13. 13.Every pair follows the same rule: 3 : 13, 4 : 15, 9 : 25. What is 6 : ? (a) 18 (b) 19 (c) 20 (d) 16
  14. 14.Two bells ring every 8 minutes and every 10 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 18 min (b) 80 min (c) 40 min (d) 2 min
  15. 15.Two bells ring every 4 minutes and every 10 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 40 min (b) 14 min (c) 2 min (d) 20 min
  16. 16.2.99 + 9.9 = ? (a) 3.98 (b) 12.89 (c) 12.99 (d) 12.79
  17. 17.Every pair follows the same rule: 3 : 8, 4 : 9, 6 : 11. What is 9 : ? (a) 13 (b) 16 (c) 15 (d) 14
  18. 18.In how many years will ₹1000 earn ₹90 simple interest at 3% per year? (a) 3 years (b) 2 years (c) 6 years (d) 4 years
  19. 19.Every pair follows the same rule: 7 : 47, 8 : 62, 9 : 79. What is 2 : ? (a) 42 (b) 2 (c) 1 (d) 3
  20. 20.Which fraction is greater: 5/12 or 9/10? (a) 5/12 (b) They are equal (c) 9/10
  21. 21.5.56 + 8.9 = ? (a) 6.45 (b) 14.56 (c) 14.36 (d) 14.46
  22. 22.₹384 is shared between two friends in the ratio 5 : 7. How much is the bigger share? (a) ₹192 (b) ₹224 (c) ₹32 (d) ₹160
  23. 23.Every pair follows the same rule: 2 : 12, 3 : 17, 4 : 24. What is 6 : ? (a) 44 (b) 38 (c) 16 (d) 36
  24. 24.If 30 November is a Monday, what day of the week is 10 December? (a) Thursday (b) Wednesday (c) Saturday (d) Friday
  25. 25.5 workers can build a wall in 9 days. How many days will 3 workers take, working at the same speed? (a) 16 days (b) 11 days (c) 7 days (d) 15 days
  26. 26.A rectangle is 7 cm long and 5 cm wide. What is its area? (a) 24 sq cm (b) 35 sq cm (c) 42 sq cm (d) 12 sq cm
  27. 27.A batter has an average of 49 runs in 4 matches. How many runs are needed in the next match to raise the average to 53? (a) 53 (b) 20 (c) 57 (d) 69
  28. 28.4 workers can build a wall in 15 days. How many days will 10 workers take, working at the same speed? (a) 9 days (b) 21 days (c) 7 days (d) 6 days
  29. 29.If 5 kites cost ₹80, how much do 11 kites cost? (a) ₹880 (b) ₹176 (c) ₹192 (d) ₹86
  30. 30.Every pair follows the same rule: 2 : 11, 5 : 26, 6 : 31. What is 7 : ? (a) 37 (b) 35 (c) 36 (d) 16
  31. 31.Every pair follows the same rule: 3 : 12, 5 : 28, 9 : 84. What is 2 : ? (a) 6 (b) 7 (c) 11 (d) 8
  32. 32.If 7x + 2 = x + 14, what is x? (a) 1 (b) 2 (c) 4 (d) 3
  33. 33.What is the value of the digit 2 in 29.376? (a) 2 (b) 0.02 (c) 0.2 (d) 20
  34. 34.4 workers can build a wall in 10 days. How many days will 5 workers take, working at the same speed? (a) 7 days (b) 9 days (c) 11 days (d) 8 days
  35. 35.If 3 March is a Tuesday, what day of the week is 12 March? (a) Friday (b) Saturday (c) Thursday (d) Wednesday
  36. 36.Two bells ring every 12 minutes and every 21 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 33 min (b) 252 min (c) 84 min (d) 3 min
  37. 37.4.66 + 1.3 = ? (a) 6.06 (b) 5.86 (c) 4.79 (d) 5.96
  38. 38.₹319 is shared between two friends in the ratio 3 : 8. How much is the bigger share? (a) ₹261 (b) ₹29 (c) ₹87 (d) ₹232
  39. 39.What is the smallest number you must add to 55 to make it divisible by 4? (a) 3 (b) 2 (c) 1
  40. 40.A batter has an average of 22 runs in 3 matches. How many runs are needed in the next match to raise the average to 27? (a) 42 (b) 20 (c) 27 (d) 32

Answer key

  1. 24
  2. 10%
  3. 0.72
  4. 3/4
  5. 23
  6. Sunday
  7. 7/9
  8. 9
  9. 90
  10. 5
  11. 63 min
  12. Sunday
  13. 19
  14. 40 min
  15. 20 min
  16. 12.89
  17. 14
  18. 3 years
  19. 2
  20. 9/10
  21. 14.46
  22. ₹224
  23. 44
  24. Thursday
  25. 15 days
  26. 35 sq cm
  27. 69
  28. 6 days
  29. ₹176
  30. 36
  31. 7
  32. 2
  33. 20
  34. 8 days
  35. Thursday
  36. 84 min
  37. 5.96
  38. ₹232
  39. 1
  40. 42

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