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Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 480 · 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 20 June is a Monday, what day of the week is 10 July? (a) Monday (b) Sunday (c) Tuesday (d) Saturday
  2. 2.₹9500 is invested at 7% per year simple interest. What is the amount after 3 years? (a) ₹12160 (b) ₹1995 (c) ₹11495 (d) ₹10165
  3. 3.7.68 + 1.2 = ? (a) 8.78 (b) 8.98 (c) 8.88 (d) 7.8
  4. 4.Which fraction is greater: 1/5 or 1/4? (a) 1/4 (b) They are equal (c) 1/5
  5. 5.What is the average of 67, 56, 68 and 37? (a) 57 (b) 76 (c) 56 (d) 58
  6. 6.If 7 January is a Friday, what day of the week is 18 January? (a) Monday (b) Wednesday (c) Thursday (d) Tuesday
  7. 7.What is the average of all the whole numbers from 10 to 46? (a) 18 (b) 28 (c) 29 (d) 36
  8. 8.Two bells ring every 8 minutes and every 14 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 56 min (b) 22 min (c) 2 min (d) 112 min
  9. 9.A bag marked ₹560 is sold at a 40% discount. What is its selling price? (a) ₹520 (b) ₹784 (c) ₹224 (d) ₹336
  10. 10.Which fraction is greater: 1/4 or 2/3? (a) 1/4 (b) They are equal (c) 2/3
  11. 11.What is 2/7 of 56? (a) 24 (b) 40 (c) 16 (d) 8
  12. 12.What is 50% of 420? (a) 420 (b) 2100 (c) 210 (d) 211
  13. 13.What is the value of the digit 9 in 98.625? (a) 0.09 (b) 90 (c) 0.9 (d) 9
  14. 14.If 8x + 2 = 4x + 38, what is x? (a) 9 (b) 3 (c) 11 (d) 10
  15. 15.What is the remainder when 186 is divided by 5? (a) 0 (b) 1 (c) 2 (d) 4
  16. 16.1/7 + 1/2 = ? (a) 4/7 (b) 9/14 (c) 5/7 (d) 2/9
  17. 17.What is 1/2 of 12? (a) 12 (b) 5 (c) 6 (d) 7
  18. 18.If x/2 + 4 = 14, what is x? (a) 10 (b) 36 (c) 24 (d) 20
  19. 19.If x/5 + 15 = 24, what is x? (a) 9 (b) 195 (c) 105 (d) 45
  20. 20.If 3x + 6 = x + 12, what is x? (a) 4 (b) 3 (c) 9 (d) 5
  21. 21.Which is the greatest: 0.071, 0.462, 0.57, 0.5? (a) 0.071 (b) 0.462 (c) 0.57 (d) 0.5
  22. 22.If 7x + 10 = 6x + 17, what is x? (a) 8 (b) 27 (c) 9 (d) 7
  23. 23.What is the value of the digit 8 in 38.261? (a) 0.08 (b) 8 (c) 80 (d) 0.8
  24. 24.A teacher has 48 pencils and 108 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 60 (b) 6 (c) 48 (d) 12
  25. 25.Which fraction is greater: 1/6 or 1/8? (a) 1/8 (b) 1/6 (c) They are equal
  26. 26.A rectangle has an area of 209 sq cm and a length of 19 cm. What is its width? (a) 190 cm (b) 11 cm (c) 12 cm (d) 22 cm
  27. 27.3.86 + 3.4 = ? (a) 7.26 (b) 7.36 (c) 7.16 (d) 4.2
  28. 28.₹288 is shared between two friends in the ratio 4 : 5. How much is the bigger share? (a) ₹144 (b) ₹32 (c) ₹128 (d) ₹160
  29. 29.A shopkeeper buys a toy for ₹100 and sells it for ₹130. What is his profit percent? (a) 31% (b) 25% (c) 30% (d) 35%
  30. 30.What is the value of the digit 3 in 43.216? (a) 30 (b) 0.03 (c) 3 (d) 0.3
  31. 31.Two bells ring every 12 minutes and every 20 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 240 min (b) 32 min (c) 4 min (d) 60 min
  32. 32.A shopkeeper buys a toy for ₹320 and sells it for ₹400. What is his profit percent? (a) 20% (b) 80% (c) 25% (d) 30%
  33. 33.The simple interest on ₹2500 for 3 years is ₹675. What is the rate per year? (a) 8% (b) 27% (c) 9% (d) 10%
  34. 34.₹352 is shared between two friends in the ratio 3 : 8. How much is the bigger share? (a) ₹176 (b) ₹32 (c) ₹96 (d) ₹256
  35. 35.If 6 May is a Sunday, what day of the week is 21 May? (a) Monday (b) Sunday (c) Wednesday (d) Tuesday
  36. 36.Which fraction is greater: 1/3 or 3/5? (a) 1/3 (b) They are equal (c) 3/5
  37. 37.Which is the greatest: 0.033, 0.342, 0.4, 0.44? (a) 0.033 (b) 0.342 (c) 0.4 (d) 0.44
  38. 38.A rectangle has an area of 72 sq cm and a length of 9 cm. What is its width? (a) 16 cm (b) 63 cm (c) 8 cm (d) 9 cm
  39. 39.Every pair follows the same rule: 2 : 17, 6 : 21, 8 : 23. What is 4 : ? (a) 21 (b) 19 (c) 20 (d) 18
  40. 40.A teacher has 35 pencils and 45 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 35 (b) 10 (c) 1 (d) 5

Answer key

  1. Sunday
  2. ₹11495
  3. 8.88
  4. 1/4
  5. 57
  6. Tuesday
  7. 28
  8. 56 min
  9. ₹336
  10. 2/3
  11. 16
  12. 210
  13. 90
  14. 9
  15. 1
  16. 9/14
  17. 6
  18. 20
  19. 45
  20. 3
  21. 0.57
  22. 7
  23. 8
  24. 12
  25. 1/6
  26. 11 cm
  27. 7.26
  28. ₹160
  29. 30%
  30. 3
  31. 60 min
  32. 25%
  33. 9%
  34. ₹256
  35. Monday
  36. 3/5
  37. 0.44
  38. 8 cm
  39. 19
  40. 5

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