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Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 940 · 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 12 March is a Wednesday, what day of the week is 28 March? (a) Sunday (b) Thursday (c) Friday (d) Saturday
  2. 2.A square has a perimeter of 48 cm. What is its area? (a) 144 sq cm (b) 48 sq cm (c) 169 sq cm (d) 24 sq cm
  3. 3.1/2 + 4/7 = ? (a) 5/9 (b) 1 (c) 15/14 (d) 8/7
  4. 4.What is the average of 55, 57, 64 and 20? (a) 50 (b) 51 (c) 48 (d) 49
  5. 5.Which fraction is greater: 7/9 or 2/5? (a) They are equal (b) 2/5 (c) 7/9
  6. 6.The average of 6 numbers is 19. When one number is taken away, the average of the rest is 18. Which number was taken away? (a) 24 (b) 19 (c) 37 (d) 6
  7. 7.If 4x − 43 = 13, what is x? (a) 13 (b) 56 (c) 15 (d) 14
  8. 8.If 8x − 14 = 98, what is x? (a) 15 (b) 14 (c) 112 (d) 13
  9. 9.What is the units digit of 4^54? (a) 7 (b) 6 (c) 4 (d) 5
  10. 10.A shopkeeper buys a toy for ₹800 and sells it for ₹1120. What is his profit percent? (a) 45% (b) 35% (c) 41% (d) 40%
  11. 11.Which fraction is greater: 5/9 or 2/3? (a) 5/9 (b) They are equal (c) 2/3
  12. 12.A shopkeeper buys a toy for ₹820 and sells it for ₹697. What is his loss percent? (a) 15% (b) 16% (c) 10% (d) 20%
  13. 13.₹9500 is invested at 4% per year simple interest. What is the amount after 3 years? (a) ₹9880 (b) ₹1140 (c) ₹10640 (d) ₹11020
  14. 14.What is the simple interest on ₹8500 at 3% per year for 5 years? (a) ₹9775 (b) ₹1530 (c) ₹255 (d) ₹1275
  15. 15.Every pair follows the same rule: 4 : 18, 5 : 27, 7 : 51. What is 8 : ? (a) 63 (b) 66 (c) 22 (d) 67
  16. 16.If 6x + 17 = 5x + 29, what is x? (a) 12 (b) 46 (c) 13 (d) 14
  17. 17.A bag marked ₹300 is sold at a 50% discount. What is its selling price? (a) ₹151 (b) ₹150 (c) ₹450 (d) ₹250
  18. 18.Every pair follows the same rule: 7 : 37, 8 : 42, 9 : 47. What is 2 : ? (a) 11 (b) 12 (c) 13 (d) 32
  19. 19.4 workers can build a wall in 12 days. How many days will 8 workers take, working at the same speed? (a) 16 days (b) 6 days (c) 8 days (d) 24 days
  20. 20.A batter has an average of 51 runs in 8 matches. How many runs are needed in the next match to raise the average to 56? (a) 45 (b) 61 (c) 56 (d) 96
  21. 21.What is the value of the digit 5 in 53.947? (a) 0.5 (b) 50 (c) 5 (d) 0.05
  22. 22.What is the simple interest on ₹10000 at 6% per year for 5 years? (a) ₹3600 (b) ₹13000 (c) ₹3000 (d) ₹600
  23. 23.Which is the smallest: 0.065, 0.8, 0.83, 0.734? (a) 0.065 (b) 0.8 (c) 0.83 (d) 0.734
  24. 24.Today is Sunday. What day of the week will it be after 82 days? (a) Thursday (b) Saturday (c) Friday (d) Sunday
  25. 25.2.27 + 7.5 = ? (a) 9.77 (b) 3.02 (c) 9.67 (d) 9.87
  26. 26.A square has a perimeter of 52 cm. What is its area? (a) 169 sq cm (b) 52 sq cm (c) 26 sq cm (d) 196 sq cm
  27. 27.A shopkeeper buys a toy for ₹720 and sells it for ₹576. What is his loss percent? (a) 20% (b) 15% (c) 21% (d) 25%
  28. 28.What is 20% of 240? (a) 48 (b) 192 (c) 480 (d) 96
  29. 29.What is the average of 55, 38, 32 and 55? (a) 60 (b) 46 (c) 44 (d) 45
  30. 30.Which is the smallest: 0.87, 0.786, 0.054, 0.8? (a) 0.87 (b) 0.786 (c) 0.054 (d) 0.8
  31. 31.₹3000 is invested at 3% per year simple interest. What is the amount after 2 years? (a) ₹180 (b) ₹3090 (c) ₹3270 (d) ₹3180
  32. 32.Every pair follows the same rule: 4 : 16, 8 : 64, 9 : 81. What is 2 : ? (a) 14 (b) 4 (c) 8 (d) 5
  33. 33.Which of these numbers is divisible by 8? (a) 3709 (b) 3696 (c) 3698 (d) 3690
  34. 34.If 6x + 23 = 113, what is x? (a) 14 (b) 15 (c) 16 (d) 90
  35. 35.₹207 is shared between two friends in the ratio 4 : 5. How much is the bigger share? (a) ₹23 (b) ₹92 (c) ₹115 (d) ₹138
  36. 36.A rectangle is 18 cm long and 3 cm wide. What is its perimeter? (a) 54 cm (b) 21 cm (c) 42 cm (d) 39 cm
  37. 37.A rectangle has an area of 168 sq cm and a length of 14 cm. What is its width? (a) 154 cm (b) 24 cm (c) 13 cm (d) 12 cm
  38. 38.7.07 + 3.7 = ? (a) 10.67 (b) 7.44 (c) 10.87 (d) 10.77
  39. 39.1/4 + 8/9 = ? (a) 9/13 (b) 10/9 (c) 41/36 (d) 7/6
  40. 40.Every pair follows the same rule: 3 : 8, 4 : 15, 8 : 63. What is 7 : ? (a) 48 (b) 12 (c) 51 (d) 49

Answer key

  1. Friday
  2. 144 sq cm
  3. 15/14
  4. 49
  5. 7/9
  6. 24
  7. 14
  8. 14
  9. 6
  10. 40%
  11. 2/3
  12. 15%
  13. ₹10640
  14. ₹1275
  15. 66
  16. 12
  17. ₹150
  18. 12
  19. 6 days
  20. 96
  21. 50
  22. ₹3000
  23. 0.065
  24. Friday
  25. 9.77
  26. 169 sq cm
  27. 20%
  28. 48
  29. 45
  30. 0.054
  31. ₹3180
  32. 4
  33. 3696
  34. 15
  35. ₹115
  36. 42 cm
  37. 12 cm
  38. 10.77
  39. 41/36
  40. 48

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