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Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 332 · 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 rectangle is 18 cm long and 3 cm wide. What is its perimeter? (a) 54 cm (b) 42 cm (c) 39 cm (d) 21 cm
  2. 2.If 10 March is a Tuesday, what day of the week is 24 March? (a) Thursday (b) Monday (c) Wednesday (d) Tuesday
  3. 3.₹4500 is invested at 7% per year simple interest. What is the amount after 4 years? (a) ₹4815 (b) ₹5760 (c) ₹6075 (d) ₹1260
  4. 4.What is the smallest number of sweets that can be shared equally among 10 children or among 14 children, with none left over? (a) 71 (b) 24 (c) 70 (d) 140
  5. 5.What is the smallest number you must add to 95 to make it divisible by 3? (a) 2 (b) 1
  6. 6.What is the average of all the whole numbers from 12 to 46? (a) 34 (b) 29 (c) 17 (d) 30
  7. 7.3.29 + 4.1 = ? (a) 7.29 (b) 7.39 (c) 7.49 (d) 3.7
  8. 8.What is the value of the digit 7 in 56.147? (a) 0.7 (b) 7 (c) 0.007 (d) 0.07
  9. 9.If 10 January is a Friday, what day of the week is 10 February? (a) Monday (b) Wednesday (c) Sunday (d) Tuesday
  10. 10.What is the average of 59, 40, 29 and 48? (a) 43 (b) 44 (c) 45 (d) 46
  11. 11.If 3x − 11 = 4, what is x? (a) 5 (b) 4 (c) 15 (d) 6
  12. 12.5 workers can build a wall in 15 days. How many days will 3 workers take, working at the same speed? (a) 25 days (b) 13 days (c) 17 days (d) 9 days
  13. 13.If 7 January is a Friday, what day of the week is 17 January? (a) Tuesday (b) Sunday (c) Monday (d) Wednesday
  14. 14.What is the units digit of 8^22? (a) 4 (b) 2 (c) 6 (d) 8
  15. 15.₹4000 is invested at 3% per year simple interest. What is the amount after 3 years? (a) ₹4480 (b) ₹360 (c) ₹4120 (d) ₹4360
  16. 16.If 2 kites cost ₹20, how much do 3 kites cost? (a) ₹30 (b) ₹40 (c) ₹21 (d) ₹60
  17. 17.What is 30% of 600? (a) 360 (b) 420 (c) 1800 (d) 180
  18. 18.In how many years will ₹7500 earn ₹450 simple interest at 2% per year? (a) 2 years (b) 3 years (c) 4 years (d) 6 years
  19. 19.If 8 pens cost ₹56, how much do 4 pens cost? (a) ₹224 (b) ₹35 (c) ₹52 (d) ₹28
  20. 20.What is the simple interest on ₹2500 at 2% per year for 3 years? (a) ₹2650 (b) ₹150 (c) ₹50 (d) ₹200
  21. 21.What is the value of the digit 1 in 26.153? (a) 1 (b) 0.01 (c) 0.001 (d) 0.1
  22. 22.A shopkeeper buys a toy for ₹740 and sells it for ₹814. What is his profit percent? (a) 5% (b) 10% (c) 74% (d) 15%
  23. 23.7 workers can build a wall in 14 days. How many days will 2 workers take, working at the same speed? (a) 19 days (b) 49 days (c) 9 days (d) 4 days
  24. 24.What is 5% of 220? (a) 22 (b) 110 (c) 11 (d) 209
  25. 25.Which fraction is greater: 3/4 or 3/8? (a) They are equal (b) 3/4 (c) 3/8
  26. 26.A rectangle is 11 cm long and 8 cm wide. What is its area? (a) 99 sq cm (b) 19 sq cm (c) 88 sq cm (d) 38 sq cm
  27. 27.A shopkeeper buys a toy for ₹760 and sells it for ₹646. What is his loss percent? (a) 20% (b) 15% (c) 16% (d) 10%
  28. 28.₹517 is shared between two friends in the ratio 5 : 6. How much is the bigger share? (a) ₹282 (b) ₹329 (c) ₹47 (d) ₹235
  29. 29.What is the value of the digit 3 in 93.165? (a) 0.3 (b) 3 (c) 0.03 (d) 30
  30. 30.What is the units digit of 3^11? (a) 3 (b) 7 (c) 9 (d) 1
  31. 31.A shopkeeper buys a toy for ₹980 and sells it for ₹882. What is his loss percent? (a) 5% (b) 10% (c) 98% (d) 15%
  32. 32.A shopkeeper buys a toy for ₹100 and sells it for ₹150. What is his profit percent? (a) 55% (b) 50% (c) 45% (d) 51%
  33. 33.What is the remainder when 46 is divided by 4? (a) 3 (b) 0 (c) 1 (d) 2
  34. 34.Every pair follows the same rule: 3 : 19, 5 : 21, 9 : 25. What is 8 : ? (a) 25 (b) 24 (c) 23 (d) 26
  35. 35.If 9x + 29 = 56, what is x? (a) 3 (b) 2 (c) 4 (d) 27
  36. 36.₹468 is shared between two friends in the ratio 5 : 7. How much is the bigger share? (a) ₹195 (b) ₹234 (c) ₹39 (d) ₹273
  37. 37.A batter has an average of 24 runs in 3 matches. How many runs are needed in the next match to raise the average to 32? (a) 32 (b) 40 (c) 57 (d) 56
  38. 38.Two ribbons are 24 cm and 84 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 6 cm (b) 12 cm (c) 24 cm (d) 60 cm
  39. 39.If x/6 + 1 = 8, what is x? (a) 54 (b) 7 (c) 47 (d) 42
  40. 40.₹110 is shared between two friends in the ratio 5 : 6. How much is the bigger share? (a) ₹50 (b) ₹10 (c) ₹60 (d) ₹55

Answer key

  1. 42 cm
  2. Tuesday
  3. ₹5760
  4. 70
  5. 1
  6. 29
  7. 7.39
  8. 0.007
  9. Monday
  10. 44
  11. 5
  12. 25 days
  13. Monday
  14. 4
  15. ₹4360
  16. ₹30
  17. 180
  18. 3 years
  19. ₹28
  20. ₹150
  21. 0.1
  22. 10%
  23. 49 days
  24. 11
  25. 3/4
  26. 88 sq cm
  27. 15%
  28. ₹282
  29. 3
  30. 7
  31. 10%
  32. 50%
  33. 2
  34. 24
  35. 3
  36. ₹273
  37. 56
  38. 12 cm
  39. 42
  40. ₹60

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