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Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 562 · 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 50% of 440? (a) 440 (b) 2200 (c) 221 (d) 220
  2. 2.Every pair follows the same rule: 6 : 43, 7 : 56, 9 : 88. What is 3 : ? (a) 40 (b) 15 (c) 17 (d) 16
  3. 3.A shopkeeper buys a toy for ₹100 and sells it for ₹75. What is his loss percent? (a) 20% (b) 25% (c) 26% (d) 30%
  4. 4.Every pair follows the same rule: 3 : 8, 4 : 15, 8 : 63. What is 2 : ? (a) 4 (b) 7 (c) 2 (d) 3
  5. 5.What is the value of the digit 5 in 51.872? (a) 0.05 (b) 5 (c) 50 (d) 0.5
  6. 6.Two bells ring every 15 minutes and every 20 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 35 min (b) 300 min (c) 5 min (d) 60 min
  7. 7.Which is the greatest: 0.72, 0.7, 0.033, 0.622? (a) 0.72 (b) 0.7 (c) 0.033 (d) 0.622
  8. 8.Every pair follows the same rule: 3 : 9, 4 : 16, 7 : 49. What is 2 : ? (a) 8 (b) 6 (c) 5 (d) 4
  9. 9.If 5x − 2 = 38, what is x? (a) 7 (b) 9 (c) 8 (d) 40
  10. 10.If 12 January is a Monday, what day of the week is 27 January? (a) Wednesday (b) Tuesday (c) Monday (d) Thursday
  11. 11.What is the average of 52, 67, 67, 46, 51 and 59? (a) 56 (b) 57 (c) 58 (d) 59
  12. 12.If x/5 + 3 = 15, what is x? (a) 12 (b) 72 (c) 90 (d) 60
  13. 13.4.74 + 6.2 = ? (a) 10.94 (b) 5.36 (c) 10.84 (d) 11.04
  14. 14.The simple interest on ₹3000 for 3 years is ₹450. What is the rate per year? (a) 15% (b) 5% (c) 6% (d) 4%
  15. 15.A square has a perimeter of 32 cm. What is its area? (a) 32 sq cm (b) 64 sq cm (c) 16 sq cm (d) 81 sq cm
  16. 16.The simple interest on ₹4500 for 4 years is ₹900. What is the rate per year? (a) 4% (b) 6% (c) 5% (d) 20%
  17. 17.A teacher has 16 pencils and 20 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 16 (b) 2 (c) 4 (d) 80
  18. 18.If x/5 + 13 = 22, what is x? (a) 9 (b) 175 (c) 97 (d) 45
  19. 19.Which fraction is greater: 3/4 or 1/12? (a) 1/12 (b) 3/4 (c) They are equal
  20. 20.The simple interest on ₹1000 for 3 years is ₹210. What is the rate per year? (a) 7% (b) 6% (c) 8% (d) 21%
  21. 21.In how many years will ₹9500 earn ₹3040 simple interest at 8% per year? (a) 3 years (b) 8 years (c) 5 years (d) 4 years
  22. 22.If x/4 + 12 = 16, what is x? (a) 4 (b) 112 (c) 16 (d) 52
  23. 23.If 7x − 56 = 35, what is x? (a) 12 (b) 91 (c) 14 (d) 13
  24. 24.Which is the smallest: 0.063, 0.672, 0.74, 0.7? (a) 0.063 (b) 0.672 (c) 0.74 (d) 0.7
  25. 25.If 7 May is a Tuesday, what day of the week is 17 May? (a) Thursday (b) Sunday (c) Friday (d) Saturday
  26. 26.Every pair follows the same rule: 3 : 17, 6 : 44, 9 : 89. What is 5 : ? (a) 33 (b) 19 (c) 34 (d) 29
  27. 27.If 4x + 5 = 45, what is x? (a) 9 (b) 40 (c) 11 (d) 10
  28. 28.If 7x − 26 = 2, what is x? (a) 3 (b) 4 (c) 5 (d) 28
  29. 29.₹320 is shared between two friends in the ratio 3 : 7. How much is the bigger share? (a) ₹160 (b) ₹96 (c) ₹32 (d) ₹224
  30. 30.If 7x − 29 = 6, what is x? (a) 6 (b) 5 (c) 4 (d) 35
  31. 31.Two bells ring every 16 minutes and every 20 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 36 min (b) 4 min (c) 320 min (d) 80 min
  32. 32.A shopkeeper buys a toy for ₹900 and sells it for ₹1035. What is his profit percent? (a) 10% (b) 15% (c) 20% (d) 16%
  33. 33.If 8x + 19 = 131, what is x? (a) 14 (b) 112 (c) 15 (d) 13
  34. 34.What is 75% of 780? (a) 5850 (b) 195 (c) 585 (d) 1170
  35. 35.Which fraction is greater: 5/11 or 1/5? (a) They are equal (b) 5/11 (c) 1/5
  36. 36.What is the smallest number you must add to 240 to make it divisible by 7? (a) 6 (b) 2 (c) 4 (d) 5
  37. 37.Which fraction is greater: 5/11 or 2/5? (a) 2/5 (b) 5/11 (c) They are equal
  38. 38.Which fraction is greater: 3/11 or 1/6? (a) They are equal (b) 1/6 (c) 3/11
  39. 39.Every pair follows the same rule: 4 : 15, 5 : 24, 9 : 80. What is 8 : ? (a) 19 (b) 64 (c) 63 (d) 66
  40. 40.What is the average of all the whole numbers from 25 to 43? (a) 35 (b) 9 (c) 18 (d) 34

Answer key

  1. 220
  2. 16
  3. 25%
  4. 3
  5. 50
  6. 60 min
  7. 0.72
  8. 4
  9. 8
  10. Tuesday
  11. 57
  12. 60
  13. 10.94
  14. 5%
  15. 64 sq cm
  16. 5%
  17. 4
  18. 45
  19. 3/4
  20. 7%
  21. 4 years
  22. 16
  23. 13
  24. 0.063
  25. Friday
  26. 33
  27. 10
  28. 4
  29. ₹224
  30. 5
  31. 80 min
  32. 15%
  33. 14
  34. 585
  35. 5/11
  36. 5
  37. 5/11
  38. 3/11
  39. 63
  40. 34

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