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Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 842 · 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 units digit of 4^60? (a) 4 (b) 5 (c) 7 (d) 6
  2. 2.What is 40% of 560? (a) 2240 (b) 224 (c) 336 (d) 448
  3. 3.What is the simple interest on ₹4500 at 4% per year for 4 years? (a) ₹900 (b) ₹180 (c) ₹5220 (d) ₹720
  4. 4.A rectangle has an area of 70 sq cm and a length of 10 cm. What is its width? (a) 14 cm (b) 60 cm (c) 7 cm (d) 8 cm
  5. 5.₹10000 is invested at 2% per year simple interest. What is the amount after 3 years? (a) ₹600 (b) ₹10800 (c) ₹10600 (d) ₹10200
  6. 6.A rectangle is 8 cm long and 2 cm wide. What is its area? (a) 20 sq cm (b) 10 sq cm (c) 24 sq cm (d) 16 sq cm
  7. 7.What is the simple interest on ₹2500 at 12% per year for 2 years? (a) ₹900 (b) ₹300 (c) ₹600 (d) ₹3100
  8. 8.What is the simple interest on ₹5000 at 5% per year for 4 years? (a) ₹6000 (b) ₹1250 (c) ₹1000 (d) ₹250
  9. 9.If 17 March is a Saturday, what day of the week is 11 April? (a) Wednesday (b) Tuesday (c) Thursday (d) Friday
  10. 10.A square has a perimeter of 32 cm. What is its area? (a) 16 sq cm (b) 64 sq cm (c) 32 sq cm (d) 81 sq cm
  11. 11.If 9 mangoes cost ₹117, how much do 10 mangoes cost? (a) ₹118 (b) ₹143 (c) ₹130 (d) ₹1170
  12. 12.If 6 August is a Tuesday, what day of the week is 16 August? (a) Sunday (b) Friday (c) Thursday (d) Saturday
  13. 13.4 workers can build a wall in 12 days. How many days will 6 workers take, working at the same speed? (a) 10 days (b) 8 days (c) 14 days (d) 18 days
  14. 14.A shopkeeper buys a toy for ₹660 and sells it for ₹990. What is his profit percent? (a) 55% (b) 51% (c) 45% (d) 50%
  15. 15.Which is the greatest: 0.264, 0.31, 0.3, 0.079? (a) 0.264 (b) 0.31 (c) 0.3 (d) 0.079
  16. 16.Every pair follows the same rule: 3 : 9, 7 : 49, 8 : 64. What is 6 : ? (a) 34 (b) 12 (c) 36 (d) 18
  17. 17.What is the smallest number you must add to 387 to make it divisible by 8? (a) 4 (b) 3 (c) 5 (d) 6
  18. 18.What is the remainder when 499 is divided by 8? (a) 2 (b) 3 (c) 4 (d) 5
  19. 19.If 8x − 14 = 2, what is x? (a) 16 (b) 3 (c) 1 (d) 2
  20. 20.If 8x + 30 = 118, what is x? (a) 10 (b) 88 (c) 11 (d) 12
  21. 21.A batter has an average of 57 runs in 5 matches. How many runs are needed in the next match to raise the average to 63? (a) 93 (b) 69 (c) 36 (d) 63
  22. 22.The simple interest on ₹9500 for 3 years is ₹1140. What is the rate per year? (a) 12% (b) 5% (c) 3% (d) 4%
  23. 23.In how many years will ₹7500 earn ₹2625 simple interest at 7% per year? (a) 6 years (b) 4 years (c) 10 years (d) 5 years
  24. 24.Every pair follows the same rule: 3 : 15, 4 : 22, 8 : 70. What is 5 : ? (a) 17 (b) 34 (c) 25 (d) 31
  25. 25.What is the average of 65, 79, 80 and 64? (a) 96 (b) 72 (c) 73 (d) 71
  26. 26.Every pair follows the same rule: 3 : 7, 6 : 10, 9 : 13. What is 8 : ? (a) 13 (b) 14 (c) 12 (d) 11
  27. 27.What is the value of the digit 2 in 72.145? (a) 2 (b) 20 (c) 0.2 (d) 0.02
  28. 28.What is the average of all the whole numbers from 13 to 53? (a) 20 (b) 40 (c) 34 (d) 33
  29. 29.A shopkeeper buys a toy for ₹700 and sells it for ₹630. What is his loss percent? (a) 5% (b) 15% (c) 10% (d) 70%
  30. 30.What is 15% of 500? (a) 75 (b) 750 (c) 425 (d) 150
  31. 31.If 14 October is a Monday, what day of the week is 16 November? (a) Monday (b) Friday (c) Sunday (d) Saturday
  32. 32.₹4500 is invested at 2% per year simple interest. What is the amount after 5 years? (a) ₹4590 (b) ₹4950 (c) ₹450 (d) ₹5040
  33. 33.What is the simple interest on ₹2000 at 6% per year for 5 years? (a) ₹120 (b) ₹2600 (c) ₹600 (d) ₹720
  34. 34.Every pair follows the same rule: 4 : 16, 5 : 20, 6 : 24. What is 7 : ? (a) 29 (b) 19 (c) 27 (d) 28
  35. 35.7 workers can build a wall in 15 days. How many days will 3 workers take, working at the same speed? (a) 35 days (b) 36 days (c) 11 days (d) 19 days
  36. 36.Which is the smallest: 0.77, 0.7, 0.033, 0.677? (a) 0.77 (b) 0.7 (c) 0.033 (d) 0.677
  37. 37.₹204 is shared between two friends in the ratio 1 : 5. How much is the bigger share? (a) ₹170 (b) ₹102 (c) ₹34 (d) ₹204
  38. 38.A rectangle is 6 cm long and 5 cm wide. What is its perimeter? (a) 11 cm (b) 30 cm (c) 17 cm (d) 22 cm
  39. 39.What is the units digit of 2^18? (a) 2 (b) 8 (c) 6 (d) 4
  40. 40.₹117 is shared between two friends in the ratio 1 : 2. How much is the bigger share? (a) ₹117 (b) ₹79 (c) ₹39 (d) ₹78

Answer key

  1. 6
  2. 224
  3. ₹720
  4. 7 cm
  5. ₹10600
  6. 16 sq cm
  7. ₹600
  8. ₹1000
  9. Wednesday
  10. 64 sq cm
  11. ₹130
  12. Friday
  13. 8 days
  14. 50%
  15. 0.31
  16. 36
  17. 5
  18. 3
  19. 2
  20. 11
  21. 93
  22. 4%
  23. 5 years
  24. 31
  25. 72
  26. 12
  27. 2
  28. 33
  29. 10%
  30. 75
  31. Saturday
  32. ₹4950
  33. ₹600
  34. 28
  35. 35 days
  36. 0.033
  37. ₹170
  38. 22 cm
  39. 4
  40. ₹78

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