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Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 839 · 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.What is the remainder when 44 is divided by 3? (a) 1 (b) 0 (c) 2
  2. 2.What is the average of 33, 19, 27 and 29? (a) 36 (b) 27 (c) 26 (d) 28
  3. 3.If 5x + 13 = 68, what is x? (a) 12 (b) 11 (c) 10 (d) 55
  4. 4.What is the units digit of 7^32? (a) 7 (b) 9 (c) 3 (d) 1
  5. 5.1/3 + 2/3 = ? (a) 1/2 (b) 2/3 (c) 4/3 (d) 1
  6. 6.If 27 January is a Saturday, what day of the week is 5 February? (a) Monday (b) Sunday (c) Tuesday (d) Wednesday
  7. 7.Every pair follows the same rule: 3 : 9, 5 : 25, 7 : 49. What is 2 : ? (a) 8 (b) 5 (c) 4 (d) 6
  8. 8.₹390 is shared between two friends in the ratio 5 : 8. How much is the bigger share? (a) ₹195 (b) ₹240 (c) ₹150 (d) ₹30
  9. 9.What is the smallest number you must add to 181 to make it divisible by 8? (a) 4 (b) 5 (c) 2 (d) 3
  10. 10.₹152 is shared between two friends in the ratio 1 : 3. How much is the bigger share? (a) ₹152 (b) ₹38 (c) ₹76 (d) ₹114
  11. 11.What is the average of 35, 42, 33 and 54? (a) 41 (b) 40 (c) 43 (d) 42
  12. 12.Which of these numbers is divisible by 6? (a) 4279 (b) 4273 (c) 4278 (d) 4285
  13. 13.What is 3/5 of 60? (a) 48 (b) 12 (c) 24 (d) 36
  14. 14.A shopkeeper buys a toy for ₹600 and sells it for ₹750. What is his profit percent? (a) 30% (b) 26% (c) 25% (d) 20%
  15. 15.If 5x + 4 = x + 12, what is x? (a) 2 (b) 1 (c) 3 (d) 4
  16. 16.Every pair follows the same rule: 4 : 12, 7 : 21, 8 : 24. What is 9 : ? (a) 26 (b) 28 (c) 17 (d) 27
  17. 17.In how many years will ₹6000 earn ₹2100 simple interest at 7% per year? (a) 4 years (b) 5 years (c) 6 years (d) 10 years
  18. 18.Two bells ring every 18 minutes and every 21 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 39 min (b) 3 min (c) 378 min (d) 126 min
  19. 19.Every pair follows the same rule: 2 : 2, 3 : 7, 8 : 62. What is 7 : ? (a) 47 (b) 7 (c) 48 (d) 51
  20. 20.Today is Monday. What day of the week will it be after 92 days? (a) Thursday (b) Monday (c) Wednesday (d) Tuesday
  21. 21.Every pair follows the same rule: 4 : 23, 8 : 71, 9 : 88. What is 5 : ? (a) 20 (b) 33 (c) 24 (d) 32
  22. 22.A square has a perimeter of 56 cm. What is its area? (a) 56 sq cm (b) 196 sq cm (c) 28 sq cm (d) 225 sq cm
  23. 23.Which is the smallest: 0.82, 0.8, 0.057, 0.793? (a) 0.82 (b) 0.8 (c) 0.057 (d) 0.793
  24. 24.Which fraction is greater: 3/11 or 1/8? (a) 1/8 (b) 3/11 (c) They are equal
  25. 25.Today is Sunday. What day of the week will it be after 96 days? (a) Thursday (b) Saturday (c) Sunday (d) Friday
  26. 26.A rectangle is 9 cm long and 2 cm wide. What is its perimeter? (a) 11 cm (b) 20 cm (c) 22 cm (d) 18 cm
  27. 27.Every pair follows the same rule: 3 : 15, 4 : 22, 6 : 42. What is 5 : ? (a) 25 (b) 32 (c) 17 (d) 31
  28. 28.A teacher has 6 pencils and 8 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 6 (b) 24 (c) 1 (d) 2
  29. 29.A batter has an average of 26 runs in 9 matches. How many runs are needed in the next match to raise the average to 33? (a) 40 (b) 33 (c) 96 (d) 70
  30. 30.Every pair follows the same rule: 2 : 22, 3 : 23, 6 : 26. What is 5 : ? (a) 26 (b) 25 (c) 55 (d) 24
  31. 31.A teacher has 21 pencils and 24 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 168 (b) 3 (c) 21 (d) 1
  32. 32.The simple interest on ₹9500 for 2 years is ₹950. What is the rate per year? (a) 4% (b) 6% (c) 10% (d) 5%
  33. 33.If 17 October is a Tuesday, what day of the week is 1 November? (a) Friday (b) Tuesday (c) Thursday (d) Wednesday
  34. 34.A rectangle has an area of 152 sq cm and a length of 19 cm. What is its width? (a) 8 cm (b) 9 cm (c) 133 cm (d) 16 cm
  35. 35.If 3x − 28 = 8, what is x? (a) 13 (b) 36 (c) 12 (d) 11
  36. 36.What is the units digit of 8^48? (a) 4 (b) 2 (c) 8 (d) 6
  37. 37.What is the value of the digit 3 in 74.328? (a) 0.03 (b) 3 (c) 0.003 (d) 0.3
  38. 38.8.62 + 2.7 = ? (a) 11.32 (b) 11.42 (c) 8.89 (d) 11.22
  39. 39.3.86 + 1.3 = ? (a) 5.26 (b) 5.06 (c) 3.99 (d) 5.16
  40. 40.What is the remainder when 559 is divided by 8? (a) 6 (b) 7 (c) 1 (d) 5

Answer key

  1. 2
  2. 27
  3. 11
  4. 1
  5. 1
  6. Monday
  7. 4
  8. ₹240
  9. 3
  10. ₹114
  11. 41
  12. 4278
  13. 36
  14. 25%
  15. 2
  16. 27
  17. 5 years
  18. 126 min
  19. 47
  20. Tuesday
  21. 32
  22. 196 sq cm
  23. 0.057
  24. 3/11
  25. Friday
  26. 22 cm
  27. 31
  28. 2
  29. 96
  30. 25
  31. 3
  32. 5%
  33. Wednesday
  34. 8 cm
  35. 12
  36. 6
  37. 0.3
  38. 11.32
  39. 5.16
  40. 7

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