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Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 867 · 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.Today is Tuesday. What day of the week will it be after 61 days? (a) Monday (b) Saturday (c) Sunday (d) Tuesday
  2. 2.If 3x − 2 = 4, what is x? (a) 1 (b) 6 (c) 3 (d) 2
  3. 3.A square has a perimeter of 24 cm. What is its area? (a) 49 sq cm (b) 12 sq cm (c) 24 sq cm (d) 36 sq cm
  4. 4.A batter has an average of 49 runs in 8 matches. How many runs are needed in the next match to raise the average to 56? (a) 112 (b) 56 (c) 113 (d) 63
  5. 5.What is the average of 36, 34, 22 and 12? (a) 25 (b) 27 (c) 28 (d) 26
  6. 6.If 2x − 16 = 14, what is x? (a) 15 (b) 14 (c) 30 (d) 16
  7. 7.In how many years will ₹10000 earn ₹5000 simple interest at 10% per year? (a) 10 years (b) 4 years (c) 5 years (d) 6 years
  8. 8.If 6 notebooks cost ₹78, how much do 4 notebooks cost? (a) ₹76 (b) ₹312 (c) ₹65 (d) ₹52
  9. 9.In how many years will ₹3500 earn ₹840 simple interest at 6% per year? (a) 4 years (b) 8 years (c) 3 years (d) 5 years
  10. 10.Every pair follows the same rule: 6 : 34, 7 : 47, 9 : 79. What is 4 : ? (a) 15 (b) 32 (c) 13 (d) 14
  11. 11.4.58 + 5.1 = ? (a) 9.68 (b) 5.09 (c) 9.58 (d) 9.78
  12. 12.Today is Tuesday. What day of the week will it be after 79 days? (a) Wednesday (b) Thursday (c) Saturday (d) Friday
  13. 13.If 6x + 24 = 102, what is x? (a) 13 (b) 21 (c) 14 (d) 78
  14. 14.Two bells ring every 18 minutes and every 30 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 6 min (b) 90 min (c) 540 min (d) 48 min
  15. 15.A rectangle is 11 cm long and 3 cm wide. What is its area? (a) 28 sq cm (b) 14 sq cm (c) 44 sq cm (d) 33 sq cm
  16. 16.Every pair follows the same rule: 3 : 3, 4 : 5, 6 : 9. What is 9 : ? (a) 9 (b) 14 (c) 15 (d) 16
  17. 17.A shopkeeper buys a toy for ₹200 and sells it for ₹150. What is his loss percent? (a) 50% (b) 25% (c) 20% (d) 30%
  18. 18.If 12 January is a Saturday, what day of the week is 21 January? (a) Tuesday (b) Wednesday (c) Sunday (d) Monday
  19. 19.Every pair follows the same rule: 2 : 8, 6 : 24, 7 : 28. What is 3 : ? (a) 12 (b) 13 (c) 11 (d) 9
  20. 20.What is the average of all the whole numbers from 32 to 48? (a) 41 (b) 16 (c) 8 (d) 40
  21. 21.What is the average of 80, 72, 78, 82 and 38? (a) 72 (b) 69 (c) 70 (d) 71
  22. 22.A rectangle is 14 cm long and 10 cm wide. What is its perimeter? (a) 38 cm (b) 48 cm (c) 140 cm (d) 24 cm
  23. 23.A shopkeeper buys a toy for ₹340 and sells it for ₹374. What is his profit percent? (a) 10% (b) 5% (c) 34% (d) 15%
  24. 24.A rectangle is 8 cm long and 4 cm wide. What is its area? (a) 40 sq cm (b) 24 sq cm (c) 12 sq cm (d) 32 sq cm
  25. 25.₹377 is shared between two friends in the ratio 4 : 9. How much is the bigger share? (a) ₹261 (b) ₹290 (c) ₹29 (d) ₹116
  26. 26.If 2x + 23 = 41, what is x? (a) 18 (b) 10 (c) 32 (d) 9
  27. 27.In how many years will ₹1000 earn ₹80 simple interest at 4% per year? (a) 3 years (b) 2 years (c) 4 years (d) 1 year
  28. 28.If 3 pens cost ₹9, how much do 4 pens cost? (a) ₹15 (b) ₹36 (c) ₹12 (d) ₹10
  29. 29.What is 4/7 of 70? (a) 50 (b) 40 (c) 30 (d) 10
  30. 30.What is the smallest number of sweets that can be shared equally among 16 children or among 20 children, with none left over? (a) 160 (b) 320 (c) 36 (d) 80
  31. 31.Two ribbons are 50 cm and 80 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 5 cm (b) 50 cm (c) 30 cm (d) 10 cm
  32. 32.If 4x + 15 = 67, what is x? (a) 12 (b) 13 (c) 14 (d) 52
  33. 33.The simple interest on ₹8500 for 3 years is ₹1020. What is the rate per year? (a) 4% (b) 3% (c) 12% (d) 5%
  34. 34.A shopkeeper buys a toy for ₹100 and sells it for ₹70. What is his loss percent? (a) 30% (b) 35% (c) 31% (d) 25%
  35. 35.The simple interest on ₹7000 for 2 years is ₹980. What is the rate per year? (a) 7% (b) 8% (c) 14% (d) 6%
  36. 36.What is 20% of 260? (a) 520 (b) 104 (c) 52 (d) 208
  37. 37.5 workers can build a wall in 12 days. How many days will 2 workers take, working at the same speed? (a) 9 days (b) 31 days (c) 15 days (d) 30 days
  38. 38.If 6x − 12 = 30, what is x? (a) 3 (b) 8 (c) 7 (d) 42
  39. 39.Two ribbons are 6 cm and 16 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 1 cm (b) 2 cm (c) 6 cm (d) 10 cm
  40. 40.The simple interest on ₹6000 for 2 years is ₹240. What is the rate per year? (a) 4% (b) 1% (c) 3% (d) 2%

Answer key

  1. Sunday
  2. 2
  3. 36 sq cm
  4. 112
  5. 26
  6. 15
  7. 5 years
  8. ₹52
  9. 4 years
  10. 14
  11. 9.68
  12. Thursday
  13. 13
  14. 90 min
  15. 33 sq cm
  16. 15
  17. 25%
  18. Monday
  19. 12
  20. 40
  21. 70
  22. 48 cm
  23. 10%
  24. 32 sq cm
  25. ₹261
  26. 9
  27. 2 years
  28. ₹12
  29. 40
  30. 80
  31. 10 cm
  32. 13
  33. 4%
  34. 30%
  35. 7%
  36. 52
  37. 30 days
  38. 7
  39. 2 cm
  40. 2%

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