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Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 290 · 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 bag marked ₹1700 is sold at a 30% discount. What is its selling price? (a) ₹510 (b) ₹1190 (c) ₹2210 (d) ₹1670
  2. 2.A batter has an average of 53 runs in 9 matches. How many runs are needed in the next match to raise the average to 55? (a) 55 (b) 73 (c) 20 (d) 57
  3. 3.A shopkeeper buys a toy for ₹360 and sells it for ₹396. What is his profit percent? (a) 15% (b) 10% (c) 5% (d) 36%
  4. 4.₹450 is shared between two friends in the ratio 1 : 9. How much is the bigger share? (a) ₹225 (b) ₹405 (c) ₹45 (d) ₹450
  5. 5.Which is the greatest: 0.33, 0.3, 0.247, 0.074? (a) 0.33 (b) 0.3 (c) 0.247 (d) 0.074
  6. 6.What is the average of all the whole numbers from 23 to 37? (a) 7 (b) 30 (c) 31 (d) 14
  7. 7.Which fraction is greater: 7/9 or 4/5? (a) They are equal (b) 4/5 (c) 7/9
  8. 8.What is the average of 88, 67, 68 and 97? (a) 79 (b) 81 (c) 82 (d) 80
  9. 9.If 8x + 5 = 5x + 14, what is x? (a) 5 (b) 3 (c) 2 (d) 4
  10. 10.A batter has an average of 60 runs in 3 matches. How many runs are needed in the next match to raise the average to 67? (a) 67 (b) 28 (c) 88 (d) 74
  11. 11.2/7 + 5/7 = ? (a) 6/7 (b) 1 (c) 8/7 (d) 1/2
  12. 12.The simple interest on ₹2500 for 4 years is ₹1000. What is the rate per year? (a) 9% (b) 10% (c) 40% (d) 11%
  13. 13.If x/4 + 11 = 13, what is x? (a) 41 (b) 8 (c) 96 (d) 2
  14. 14.Which fraction is greater: 2/5 or 1/3? (a) 1/3 (b) They are equal (c) 2/5
  15. 15.₹96 is shared between two friends in the ratio 3 : 5. How much is the bigger share? (a) ₹12 (b) ₹36 (c) ₹48 (d) ₹60
  16. 16.What is the simple interest on ₹8500 at 11% per year for 3 years? (a) ₹935 (b) ₹11305 (c) ₹2805 (d) ₹3740
  17. 17.If 25 September is a Tuesday, what day of the week is 12 October? (a) Sunday (b) Thursday (c) Friday (d) Saturday
  18. 18.What is the value of the digit 5 in 95.721? (a) 50 (b) 0.5 (c) 0.05 (d) 5
  19. 19.Which is the smallest: 0.83, 0.8, 0.747, 0.096? (a) 0.83 (b) 0.8 (c) 0.747 (d) 0.096
  20. 20.Every pair follows the same rule: 3 : 9, 6 : 12, 7 : 13. What is 2 : ? (a) 7 (b) 9 (c) 6 (d) 8
  21. 21.What is the average of all the whole numbers from 59 to 93? (a) 34 (b) 77 (c) 76 (d) 17
  22. 22.If 4x + 1 = 3x + 7, what is x? (a) 6 (b) 5 (c) 7 (d) 8
  23. 23.What is the value of the digit 5 in 14.853? (a) 5 (b) 0.005 (c) 0.5 (d) 0.05
  24. 24.Two bells ring every 12 minutes and every 15 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 3 min (b) 180 min (c) 27 min (d) 60 min
  25. 25.If 15 April is a Wednesday, what day of the week is 2 May? (a) Friday (b) Sunday (c) Monday (d) Saturday
  26. 26.A shopkeeper buys a toy for ₹820 and sells it for ₹984. What is his profit percent? (a) 15% (b) 20% (c) 21% (d) 25%
  27. 27.A teacher has 4 pencils and 6 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 4 (b) 2 (c) 1 (d) 12
  28. 28.If x/3 + 3 = 11, what is x? (a) 42 (b) 8 (c) 30 (d) 24
  29. 29.Which fraction is greater: 6/7 or 2/3? (a) 6/7 (b) 2/3 (c) They are equal
  30. 30.A batter has an average of 50 runs in 4 matches. How many runs are needed in the next match to raise the average to 55? (a) 60 (b) 25 (c) 55 (d) 75
  31. 31.What is the smallest number you must add to 440 to make it divisible by 6? (a) 2 (b) 5 (c) 4 (d) 3
  32. 32.What is the average of all the whole numbers from 50 to 88? (a) 69 (b) 19 (c) 70 (d) 38
  33. 33.If 5 kites cost ₹75, how much do 12 kites cost? (a) ₹900 (b) ₹82 (c) ₹195 (d) ₹180
  34. 34.What is the value of the digit 1 in 97.128? (a) 1 (b) 0.01 (c) 0.001 (d) 0.1
  35. 35.1/2 + 2/5 = ? (a) 9/10 (b) 3/7 (c) 1 (d) 4/5
  36. 36.Every pair follows the same rule: 6 : 36, 8 : 48, 9 : 54. What is 4 : ? (a) 23 (b) 25 (c) 24 (d) 34
  37. 37.9.83 + 5.4 = ? (a) 15.33 (b) 10.37 (c) 15.13 (d) 15.23
  38. 38.What is 75% of 560? (a) 140 (b) 4200 (c) 840 (d) 420
  39. 39.₹108 is shared between two friends in the ratio 1 : 2. How much is the bigger share? (a) ₹108 (b) ₹72 (c) ₹54 (d) ₹36
  40. 40.A rectangle has an area of 136 sq cm and a length of 17 cm. What is its width? (a) 16 cm (b) 8 cm (c) 9 cm (d) 119 cm

Answer key

  1. ₹1190
  2. 73
  3. 10%
  4. ₹405
  5. 0.33
  6. 30
  7. 4/5
  8. 80
  9. 3
  10. 88
  11. 1
  12. 10%
  13. 8
  14. 2/5
  15. ₹60
  16. ₹2805
  17. Friday
  18. 5
  19. 0.096
  20. 8
  21. 76
  22. 6
  23. 0.05
  24. 60 min
  25. Saturday
  26. 20%
  27. 2
  28. 24
  29. 6/7
  30. 75
  31. 4
  32. 69
  33. ₹180
  34. 0.1
  35. 9/10
  36. 24
  37. 15.23
  38. 420
  39. ₹72
  40. 8 cm

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