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Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 96 · 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.If 6 January is a Tuesday, what day of the week is 21 January? (a) Friday (b) Thursday (c) Tuesday (d) Wednesday
  2. 2.What is the value of the digit 1 in 35.127? (a) 0.1 (b) 0.01 (c) 0.001 (d) 1
  3. 3.If 4x + 20 = 3x + 22, what is x? (a) 42 (b) 3 (c) 4 (d) 2
  4. 4.If 9x + 27 = 54, what is x? (a) 3 (b) 27 (c) 9 (d) 4
  5. 5.Which fraction is greater: 4/5 or 1/7? (a) 1/7 (b) They are equal (c) 4/5
  6. 6.Every pair follows the same rule: 4 : 16, 6 : 36, 8 : 64. What is 5 : ? (a) 25 (b) 22 (c) 17 (d) 20
  7. 7.If 28 October is a Monday, what day of the week is 7 November? (a) Saturday (b) Friday (c) Wednesday (d) Thursday
  8. 8.5 workers can build a wall in 15 days. How many days will 3 workers take, working at the same speed? (a) 17 days (b) 9 days (c) 25 days (d) 13 days
  9. 9.Which fraction is greater: 11/12 or 1/5? (a) They are equal (b) 11/12 (c) 1/5
  10. 10.The simple interest on ₹4500 for 4 years is ₹1260. What is the rate per year? (a) 28% (b) 6% (c) 8% (d) 7%
  11. 11.The simple interest on ₹9000 for 4 years is ₹1080. What is the rate per year? (a) 4% (b) 3% (c) 2% (d) 12%
  12. 12.If 4x + 7 = 51, what is x? (a) 11 (b) 12 (c) 44 (d) 10
  13. 13.Today is Tuesday. What day of the week will it be after 74 days? (a) Monday (b) Sunday (c) Saturday (d) Friday
  14. 14.The average of 5 numbers is 13. When one number is taken away, the average of the rest is 8. Which number was taken away? (a) 13 (b) 33 (c) 21 (d) 25
  15. 15.A shopkeeper buys a toy for ₹400 and sells it for ₹320. What is his loss percent? (a) 25% (b) 80% (c) 15% (d) 20%
  16. 16.If 4 July is a Wednesday, what day of the week is 19 July? (a) Friday (b) Wednesday (c) Thursday (d) Saturday
  17. 17.Today is Saturday. What day of the week will it be after 20 days? (a) Thursday (b) Friday (c) Sunday (d) Saturday
  18. 18.In how many years will ₹7000 earn ₹2520 simple interest at 9% per year? (a) 4 years (b) 8 years (c) 5 years (d) 3 years
  19. 19.A rectangle has an area of 60 sq cm and a length of 10 cm. What is its width? (a) 12 cm (b) 7 cm (c) 6 cm (d) 50 cm
  20. 20.6 workers can build a wall in 11 days. How many days will 2 workers take, working at the same speed? (a) 15 days (b) 7 days (c) 34 days (d) 33 days
  21. 21.2/6 + 1/4 = ? (a) 7/12 (b) 3/10 (c) 2/3 (d) 1/2
  22. 22.If 6x + 17 = 71, what is x? (a) 8 (b) 54 (c) 9 (d) 10
  23. 23.The simple interest on ₹5000 for 2 years is ₹200. What is the rate per year? (a) 3% (b) 1% (c) 4% (d) 2%
  24. 24.Two bells ring every 8 minutes and every 28 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 224 min (b) 56 min (c) 36 min (d) 4 min
  25. 25.What is the remainder when 62 is divided by 3? (a) 1 (b) 0 (c) 2
  26. 26.Every pair follows the same rule: 4 : 18, 6 : 28, 9 : 43. What is 5 : ? (a) 24 (b) 23 (c) 22 (d) 19
  27. 27.What is the units digit of 3^27? (a) 3 (b) 9 (c) 7 (d) 1
  28. 28.A batter has an average of 57 runs in 7 matches. How many runs are needed in the next match to raise the average to 62? (a) 62 (b) 97 (c) 40 (d) 67
  29. 29.₹198 is shared between two friends in the ratio 4 : 5. How much is the bigger share? (a) ₹99 (b) ₹22 (c) ₹88 (d) ₹110
  30. 30.A shopkeeper buys a toy for ₹220 and sells it for ₹330. What is his profit percent? (a) 51% (b) 55% (c) 50% (d) 45%
  31. 31.Every pair follows the same rule: 4 : 12, 7 : 18, 8 : 20. What is 5 : ? (a) 16 (b) 13 (c) 15 (d) 14
  32. 32.What is the smallest number you must add to 466 to make it divisible by 6? (a) 4 (b) 3 (c) 2 (d) 1
  33. 33.What is the remainder when 219 is divided by 8? (a) 4 (b) 2 (c) 5 (d) 3
  34. 34.Which fraction is greater: 3/5 or 9/11? (a) They are equal (b) 9/11 (c) 3/5
  35. 35.What is the remainder when 104 is divided by 5? (a) 3 (b) 4 (c) 1 (d) 2
  36. 36.A rectangle is 9 cm long and 8 cm wide. What is its area? (a) 81 sq cm (b) 72 sq cm (c) 17 sq cm (d) 34 sq cm
  37. 37.Today is Wednesday. What day of the week will it be after 24 days? (a) Friday (b) Sunday (c) Monday (d) Saturday
  38. 38.3.24 + 7.5 = ? (a) 3.99 (b) 10.74 (c) 10.64 (d) 10.84
  39. 39.2/3 + 6/7 = ? (a) 4/5 (b) 31/21 (c) 11/7 (d) 32/21
  40. 40.Two ribbons are 16 cm and 72 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 16 cm (b) 4 cm (c) 56 cm (d) 8 cm

Answer key

  1. Wednesday
  2. 0.1
  3. 2
  4. 3
  5. 4/5
  6. 25
  7. Thursday
  8. 25 days
  9. 11/12
  10. 7%
  11. 3%
  12. 11
  13. Saturday
  14. 33
  15. 20%
  16. Thursday
  17. Friday
  18. 4 years
  19. 6 cm
  20. 33 days
  21. 7/12
  22. 9
  23. 2%
  24. 56 min
  25. 2
  26. 23
  27. 7
  28. 97
  29. ₹110
  30. 50%
  31. 14
  32. 2
  33. 3
  34. 9/11
  35. 4
  36. 72 sq cm
  37. Saturday
  38. 10.74
  39. 32/21
  40. 8 cm

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