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Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 887 · 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.A shopkeeper buys a toy for ₹140 and sells it for ₹133. What is his loss percent? (a) 6% (b) 5% (c) 7% (d) 10%
  2. 2.Which is the greatest: 0.79, 0.056, 0.699, 0.7? (a) 0.79 (b) 0.056 (c) 0.699 (d) 0.7
  3. 3.A batter has an average of 23 runs in 3 matches. How many runs are needed in the next match to raise the average to 27? (a) 16 (b) 31 (c) 39 (d) 27
  4. 4.A rectangle has an area of 38 sq cm and a length of 19 cm. What is its width? (a) 19 cm (b) 2 cm (c) 3 cm (d) 4 cm
  5. 5.3 workers can build a wall in 12 days. How many days will 9 workers take, working at the same speed? (a) 6 days (b) 4 days (c) 18 days (d) 36 days
  6. 6.If 7x − 57 = 20, what is x? (a) 12 (b) 10 (c) 77 (d) 11
  7. 7.What is the smallest number of sweets that can be shared equally among 15 children or among 25 children, with none left over? (a) 375 (b) 150 (c) 40 (d) 75
  8. 8.What is the value of the digit 1 in 74.351? (a) 0.01 (b) 0.1 (c) 1 (d) 0.001
  9. 9.What is the value of the digit 7 in 75.431? (a) 0.07 (b) 0.7 (c) 7 (d) 70
  10. 10.Two ribbons are 10 cm and 15 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 30 cm (b) 10 cm (c) 5 cm (d) 1 cm
  11. 11.A square has a perimeter of 28 cm. What is its area? (a) 49 sq cm (b) 14 sq cm (c) 28 sq cm (d) 64 sq cm
  12. 12.Today is Monday. What day of the week will it be after 59 days? (a) Saturday (b) Thursday (c) Friday (d) Wednesday
  13. 13.What is the smallest number of sweets that can be shared equally among 18 children or among 30 children, with none left over? (a) 180 (b) 90 (c) 540 (d) 48
  14. 14.In how many years will ₹8000 earn ₹4400 simple interest at 11% per year? (a) 4 years (b) 5 years (c) 6 years (d) 10 years
  15. 15.Two ribbons are 12 cm and 14 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 2 cm (b) 84 cm (c) 12 cm (d) 1 cm
  16. 16.7 workers can build a wall in 15 days. How many days will 3 workers take, working at the same speed? (a) 19 days (b) 35 days (c) 36 days (d) 11 days
  17. 17.If 14 March is a Saturday, what day of the week is 23 March? (a) Wednesday (b) Tuesday (c) Sunday (d) Monday
  18. 18.In how many years will ₹3500 earn ₹1400 simple interest at 8% per year? (a) 10 years (b) 6 years (c) 5 years (d) 4 years
  19. 19.3.51 + 9.1 = ? (a) 12.51 (b) 12.61 (c) 12.71 (d) 4.42
  20. 20.What is the units digit of 4^16? (a) 4 (b) 7 (c) 6 (d) 5
  21. 21.1/2 + 2/3 = ? (a) 4/3 (b) 7/6 (c) 3/5 (d) 1
  22. 22.4.37 + 2.3 = ? (a) 4.6 (b) 6.57 (c) 6.67 (d) 6.77
  23. 23.A square has a perimeter of 52 cm. What is its area? (a) 196 sq cm (b) 169 sq cm (c) 26 sq cm (d) 52 sq cm
  24. 24.₹208 is shared between two friends in the ratio 1 : 7. How much is the bigger share? (a) ₹104 (b) ₹26 (c) ₹208 (d) ₹182
  25. 25.A rectangle has an area of 88 sq cm and a length of 11 cm. What is its width? (a) 77 cm (b) 16 cm (c) 9 cm (d) 8 cm
  26. 26.If 7 mangoes cost ₹140, how much do 12 mangoes cost? (a) ₹1680 (b) ₹240 (c) ₹260 (d) ₹145
  27. 27.₹90 is shared between two friends in the ratio 2 : 7. How much is the bigger share? (a) ₹10 (b) ₹70 (c) ₹20 (d) ₹45
  28. 28.4 workers can build a wall in 4 days. How many days will 8 workers take, working at the same speed? (a) 8 days (b) 3 days (c) 1 day (d) 2 days
  29. 29.Today is Tuesday. What day of the week will it be after 45 days? (a) Thursday (b) Sunday (c) Friday (d) Saturday
  30. 30.What is the units digit of 7^39? (a) 9 (b) 1 (c) 3 (d) 7
  31. 31.3/8 + 1/4 = ? (a) 5/8 (b) 1/3 (c) 3/4 (d) 1/2
  32. 32.Every pair follows the same rule: 6 : 37, 7 : 42, 9 : 52. What is 5 : ? (a) 36 (b) 33 (c) 32 (d) 31
  33. 33.What is 5% of 240? (a) 228 (b) 12 (c) 24 (d) 120
  34. 34.If 14 July is a Thursday, what day of the week is 22 July? (a) Sunday (b) Friday (c) Thursday (d) Saturday
  35. 35.What is the smallest number you must add to 367 to make it divisible by 6? (a) 4 (b) 1 (c) 3 (d) 5
  36. 36.In how many years will ₹7000 earn ₹1400 simple interest at 10% per year? (a) 1 year (b) 4 years (c) 3 years (d) 2 years
  37. 37.Every pair follows the same rule: 1 : 1, 5 : 125, 6 : 216. What is 4 : ? (a) 64 (b) 65 (c) 34 (d) 4
  38. 38.Every pair follows the same rule: 2 : 2, 5 : 8, 6 : 10. What is 4 : ? (a) 5 (b) 7 (c) 4 (d) 6
  39. 39.3 workers can build a wall in 8 days. How many days will 12 workers take, working at the same speed? (a) 3 days (b) 32 days (c) 17 days (d) 2 days
  40. 40.Every pair follows the same rule: 5 : 21, 8 : 33, 9 : 37. What is 3 : ? (a) 13 (b) 19 (c) 12 (d) 14

Answer key

  1. 5%
  2. 0.79
  3. 39
  4. 2 cm
  5. 4 days
  6. 11
  7. 75
  8. 0.001
  9. 70
  10. 5 cm
  11. 49 sq cm
  12. Thursday
  13. 90
  14. 5 years
  15. 2 cm
  16. 35 days
  17. Monday
  18. 5 years
  19. 12.61
  20. 6
  21. 7/6
  22. 6.67
  23. 169 sq cm
  24. ₹182
  25. 8 cm
  26. ₹240
  27. ₹70
  28. 2 days
  29. Friday
  30. 3
  31. 5/8
  32. 32
  33. 12
  34. Friday
  35. 5
  36. 2 years
  37. 64
  38. 6
  39. 2 days
  40. 13

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