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Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 881 · 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 10 cm long and 3 cm wide. What is its perimeter? (a) 26 cm (b) 30 cm (c) 13 cm (d) 23 cm
  2. 2.A shopkeeper buys a toy for ₹280 and sells it for ₹336. What is his profit percent? (a) 56% (b) 15% (c) 25% (d) 20%
  3. 3.What is the average of 62, 50, 73, 78, 72 and 55? (a) 66 (b) 78 (c) 64 (d) 65
  4. 4.A teacher has 77 pencils and 88 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 616 (b) 77 (c) 1 (d) 11
  5. 5.What is the value of the digit 7 in 56.723? (a) 0.07 (b) 0.007 (c) 7 (d) 0.7
  6. 6.Every pair follows the same rule: 2 : 13, 3 : 14, 5 : 16. What is 8 : ? (a) 20 (b) 18 (c) 19 (d) 21
  7. 7.If x/5 + 10 = 22, what is x? (a) 12 (b) 100 (c) 160 (d) 60
  8. 8.If 1 May is a Saturday, what day of the week is 12 May? (a) Thursday (b) Friday (c) Wednesday (d) Tuesday
  9. 9.A square has a perimeter of 44 cm. What is its area? (a) 44 sq cm (b) 22 sq cm (c) 144 sq cm (d) 121 sq cm
  10. 10.₹3000 is invested at 9% per year simple interest. What is the amount after 4 years? (a) ₹1080 (b) ₹3270 (c) ₹4350 (d) ₹4080
  11. 11.What is the value of the digit 1 in 85.123? (a) 0.1 (b) 0.001 (c) 0.01 (d) 1
  12. 12.If 22 August is a Wednesday, what day of the week is 20 September? (a) Wednesday (b) Friday (c) Saturday (d) Thursday
  13. 13.₹3000 is invested at 8% per year simple interest. What is the amount after 3 years? (a) ₹3720 (b) ₹3960 (c) ₹3240 (d) ₹720
  14. 14.A shopkeeper buys a toy for ₹180 and sells it for ₹207. What is his profit percent? (a) 15% (b) 10% (c) 27% (d) 20%
  15. 15.A batter has an average of 44 runs in 6 matches. How many runs are needed in the next match to raise the average to 49? (a) 79 (b) 54 (c) 49 (d) 35
  16. 16.What is the remainder when 254 is divided by 7? (a) 2 (b) 5 (c) 3 (d) 1
  17. 17.What is 40% of 820? (a) 656 (b) 328 (c) 3280 (d) 492
  18. 18.₹7500 is invested at 9% per year simple interest. What is the amount after 2 years? (a) ₹1350 (b) ₹9525 (c) ₹8175 (d) ₹8850
  19. 19.What is 60% of 160? (a) 96 (b) 960 (c) 192 (d) 64
  20. 20.The average of 4 numbers is 44. When one number is taken away, the average of the rest is 49. Which number was taken away? (a) 44 (b) 93 (c) 30 (d) 29
  21. 21.What is the average of all the whole numbers from 43 to 83? (a) 20 (b) 40 (c) 63 (d) 64
  22. 22.2.73 + 6.8 = ? (a) 9.53 (b) 3.41 (c) 9.43 (d) 9.63
  23. 23.If 9x + 23 = 149, what is x? (a) 15 (b) 126 (c) 13 (d) 14
  24. 24.What is the average of 48, 29, 46 and 29? (a) 37 (b) 39 (c) 40 (d) 38
  25. 25.4/6 + 5/6 = ? (a) 3/4 (b) 5/3 (c) 4/3 (d) 3/2
  26. 26.If 2x + 6 = 30, what is x? (a) 18 (b) 12 (c) 24 (d) 13
  27. 27.₹396 is shared between two friends in the ratio 4 : 7. How much is the bigger share? (a) ₹252 (b) ₹36 (c) ₹198 (d) ₹144
  28. 28.If 6x − 4 = 14, what is x? (a) 2 (b) 18 (c) 4 (d) 3
  29. 29.A bag marked ₹580 is sold at a 30% discount. What is its selling price? (a) ₹406 (b) ₹550 (c) ₹754 (d) ₹174
  30. 30.If 1 December is a Tuesday, what day of the week is 10 December? (a) Saturday (b) Thursday (c) Friday (d) Wednesday
  31. 31.Every pair follows the same rule: 2 : 6, 5 : 18, 7 : 26. What is 4 : ? (a) 12 (b) 14 (c) 8 (d) 15
  32. 32.Every pair follows the same rule: 3 : 20, 6 : 32, 7 : 36. What is 8 : ? (a) 41 (b) 40 (c) 25 (d) 39
  33. 33.What is 60% of 300? (a) 180 (b) 120 (c) 360 (d) 1800
  34. 34.Which fraction is greater: 3/5 or 7/10? (a) 7/10 (b) 3/5 (c) They are equal
  35. 35.What is the value of the digit 6 in 69.831? (a) 6 (b) 0.06 (c) 0.6 (d) 60
  36. 36.What is the average of 73, 69, 76, 65, 71 and 48? (a) 68 (b) 67 (c) 69 (d) 66
  37. 37.If x/6 + 7 = 14, what is x? (a) 7 (b) 42 (c) 126 (d) 77
  38. 38.What is the remainder when 188 is divided by 11? (a) 0 (b) 10 (c) 1 (d) 2
  39. 39.If 3x − 15 = 9, what is x? (a) 24 (b) 9 (c) 7 (d) 8
  40. 40.What is the simple interest on ₹1000 at 12% per year for 3 years? (a) ₹1360 (b) ₹360 (c) ₹120 (d) ₹480

Answer key

  1. 26 cm
  2. 20%
  3. 65
  4. 11
  5. 0.7
  6. 19
  7. 60
  8. Wednesday
  9. 121 sq cm
  10. ₹4080
  11. 0.1
  12. Thursday
  13. ₹3720
  14. 15%
  15. 79
  16. 2
  17. 328
  18. ₹8850
  19. 96
  20. 29
  21. 63
  22. 9.53
  23. 14
  24. 38
  25. 3/2
  26. 12
  27. ₹252
  28. 3
  29. ₹406
  30. Thursday
  31. 14
  32. 40
  33. 180
  34. 7/10
  35. 60
  36. 67
  37. 42
  38. 1
  39. 8
  40. ₹360

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