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Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 891 · 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 2/3 of 12? (a) 12 (b) 4 (c) 8 (d) 9
  2. 2.Which fraction is greater: 1/4 or 4/11? (a) They are equal (b) 4/11 (c) 1/4
  3. 3.What is the average of 57, 43, 58 and 54? (a) 55 (b) 53 (c) 54 (d) 52
  4. 4.A batter has an average of 24 runs in 4 matches. How many runs are needed in the next match to raise the average to 30? (a) 55 (b) 30 (c) 54 (d) 36
  5. 5.The average of 8 numbers is 24. When one number is taken away, the average of the rest is 20. Which number was taken away? (a) 32 (b) 44 (c) 52 (d) 24
  6. 6.What is the simple interest on ₹9000 at 10% per year for 4 years? (a) ₹4500 (b) ₹12600 (c) ₹3600 (d) ₹900
  7. 7.₹4000 is invested at 9% per year simple interest. What is the amount after 3 years? (a) ₹5080 (b) ₹4360 (c) ₹1080 (d) ₹5440
  8. 8.A shopkeeper buys a toy for ₹400 and sells it for ₹520. What is his profit percent? (a) 31% (b) 35% (c) 30% (d) 25%
  9. 9.Which is the smallest: 0.041, 0.241, 0.36, 0.3? (a) 0.041 (b) 0.241 (c) 0.36 (d) 0.3
  10. 10.A bag marked ₹980 is sold at a 30% discount. What is its selling price? (a) ₹950 (b) ₹1274 (c) ₹686 (d) ₹294
  11. 11.A teacher has 9 pencils and 24 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 15 (b) 3 (c) 9 (d) 1
  12. 12.What is 7/9 of 99? (a) 11 (b) 77 (c) 22 (d) 88
  13. 13.4.97 + 6.2 = ? (a) 11.17 (b) 11.27 (c) 5.59 (d) 11.07
  14. 14.Every pair follows the same rule: 3 : 15, 6 : 30, 8 : 40. What is 2 : ? (a) 11 (b) 10 (c) 14 (d) 9
  15. 15.A rectangle is 6 cm long and 5 cm wide. What is its area? (a) 36 sq cm (b) 30 sq cm (c) 22 sq cm (d) 11 sq cm
  16. 16.Which fraction is greater: 1/5 or 4/7? (a) 1/5 (b) 4/7 (c) They are equal
  17. 17.A square has a perimeter of 28 cm. What is its area? (a) 64 sq cm (b) 28 sq cm (c) 14 sq cm (d) 49 sq cm
  18. 18.Which is the greatest: 0.298, 0.31, 0.3, 0.061? (a) 0.298 (b) 0.31 (c) 0.3 (d) 0.061
  19. 19.₹8000 is invested at 7% per year simple interest. What is the amount after 3 years? (a) ₹9680 (b) ₹10240 (c) ₹8560 (d) ₹1680
  20. 20.The average of 5 numbers is 24. When one number is taken away, the average of the rest is 25. Which number was taken away? (a) 24 (b) 49 (c) 21 (d) 20
  21. 21.If 13 August is a Sunday, what day of the week is 19 September? (a) Monday (b) Wednesday (c) Thursday (d) Tuesday
  22. 22.What is the average of all the whole numbers from 51 to 61? (a) 10 (b) 56 (c) 5 (d) 57
  23. 23.Two bells ring every 24 minutes and every 30 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 54 min (b) 720 min (c) 6 min (d) 120 min
  24. 24.A square has a perimeter of 48 cm. What is its area? (a) 169 sq cm (b) 24 sq cm (c) 144 sq cm (d) 48 sq cm
  25. 25.What is the average of 53, 48, 70 and 57? (a) 76 (b) 58 (c) 57 (d) 56
  26. 26.A bag marked ₹440 is sold at a 30% discount. What is its selling price? (a) ₹308 (b) ₹410 (c) ₹572 (d) ₹132
  27. 27.A teacher has 36 pencils and 60 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 36 (b) 6 (c) 12 (d) 24
  28. 28.A square has a perimeter of 32 cm. What is its area? (a) 16 sq cm (b) 81 sq cm (c) 64 sq cm (d) 32 sq cm
  29. 29.What is the simple interest on ₹2500 at 5% per year for 5 years? (a) ₹750 (b) ₹3125 (c) ₹625 (d) ₹125
  30. 30.What is 40% of 520? (a) 312 (b) 2080 (c) 208 (d) 416
  31. 31.What is the smallest number you must add to 217 to make it divisible by 6? (a) 4 (b) 5 (c) 3 (d) 1
  32. 32.Two ribbons are 12 cm and 32 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 20 cm (b) 4 cm (c) 2 cm (d) 12 cm
  33. 33.What is the average of 76, 59, 58 and 55? (a) 61 (b) 63 (c) 62 (d) 64
  34. 34.Which is the greatest: 0.3, 0.31, 0.097, 0.236? (a) 0.3 (b) 0.31 (c) 0.097 (d) 0.236
  35. 35.8.47 + 4.4 = ? (a) 12.77 (b) 12.97 (c) 12.87 (d) 8.91
  36. 36.What is the simple interest on ₹10000 at 2% per year for 5 years? (a) ₹11000 (b) ₹200 (c) ₹1200 (d) ₹1000
  37. 37.Every pair follows the same rule: 3 : 7, 6 : 34, 8 : 62. What is 5 : ? (a) 24 (b) 9 (c) 20 (d) 23
  38. 38.If 5x − 7 = 23, what is x? (a) 6 (b) 30 (c) 5 (d) 7
  39. 39.A rectangle has an area of 21 sq cm and a length of 7 cm. What is its width? (a) 4 cm (b) 14 cm (c) 6 cm (d) 3 cm
  40. 40.Every pair follows the same rule: 2 : 12, 3 : 18, 6 : 36. What is 7 : ? (a) 43 (b) 17 (c) 41 (d) 42

Answer key

  1. 8
  2. 4/11
  3. 53
  4. 54
  5. 52
  6. ₹3600
  7. ₹5080
  8. 30%
  9. 0.041
  10. ₹686
  11. 3
  12. 77
  13. 11.17
  14. 10
  15. 30 sq cm
  16. 4/7
  17. 49 sq cm
  18. 0.31
  19. ₹9680
  20. 20
  21. Tuesday
  22. 56
  23. 120 min
  24. 144 sq cm
  25. 57
  26. ₹308
  27. 12
  28. 64 sq cm
  29. ₹625
  30. 208
  31. 5
  32. 4 cm
  33. 62
  34. 0.31
  35. 12.87
  36. ₹1000
  37. 23
  38. 6
  39. 3 cm
  40. 42

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