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Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 477 · 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 ₹1140 is sold at a 25% discount. What is its selling price? (a) ₹855 (b) ₹1425 (c) ₹1115 (d) ₹285
  2. 2.Which is the smallest: 0.086, 0.26, 0.2, 0.118? (a) 0.086 (b) 0.26 (c) 0.2 (d) 0.118
  3. 3.What is the value of the digit 3 in 13.528? (a) 0.3 (b) 30 (c) 0.03 (d) 3
  4. 4.Which fraction is greater: 2/7 or 5/8? (a) 5/8 (b) 2/7 (c) They are equal
  5. 5.8.75 + 3.7 = ? (a) 12.45 (b) 9.12 (c) 12.35 (d) 12.55
  6. 6.If 9x + 11 = 101, what is x? (a) 10 (b) 9 (c) 90 (d) 11
  7. 7.Two ribbons are 45 cm and 81 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 3 cm (b) 9 cm (c) 45 cm (d) 36 cm
  8. 8.₹342 is shared between two friends in the ratio 4 : 5. How much is the bigger share? (a) ₹190 (b) ₹171 (c) ₹38 (d) ₹152
  9. 9.In how many years will ₹9500 earn ₹3040 simple interest at 8% per year? (a) 8 years (b) 5 years (c) 3 years (d) 4 years
  10. 10.Two bells ring every 10 minutes and every 14 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 140 min (b) 24 min (c) 2 min (d) 70 min
  11. 11.If x/5 + 6 = 16, what is x? (a) 10 (b) 74 (c) 110 (d) 50
  12. 12.Today is Sunday. What day of the week will it be after 81 days? (a) Friday (b) Thursday (c) Wednesday (d) Saturday
  13. 13.If x/4 + 7 = 14, what is x? (a) 84 (b) 7 (c) 28 (d) 49
  14. 14.1/5 + 1/4 = ? (a) 1/2 (b) 9/20 (c) 2/9 (d) 2/5
  15. 15.A teacher has 22 pencils and 77 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 1 (b) 11 (c) 22 (d) 55
  16. 16.What is 75% of 80? (a) 600 (b) 120 (c) 20 (d) 60
  17. 17.If 5x + 7 = x + 23, what is x? (a) 3 (b) 4 (c) 5 (d) 6
  18. 18.Which is the smallest: 0.266, 0.3, 0.34, 0.092? (a) 0.266 (b) 0.3 (c) 0.34 (d) 0.092
  19. 19.A rectangle is 20 cm long and 8 cm wide. What is its perimeter? (a) 56 cm (b) 160 cm (c) 28 cm (d) 48 cm
  20. 20.Today is Wednesday. What day of the week will it be after 26 days? (a) Wednesday (b) Monday (c) Sunday (d) Tuesday
  21. 21.If 7 notebooks cost ₹91, how much do 9 notebooks cost? (a) ₹117 (b) ₹130 (c) ₹819 (d) ₹93
  22. 22.What is the smallest number you must add to 246 to make it divisible by 4? (a) 2 (b) 1 (c) 3
  23. 23.Two bells ring every 4 minutes and every 14 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 2 min (b) 18 min (c) 56 min (d) 28 min
  24. 24.Every pair follows the same rule: 2 : 4, 6 : 36, 9 : 81. What is 8 : ? (a) 66 (b) 10 (c) 64 (d) 16
  25. 25.5.98 + 9.1 = ? (a) 15.18 (b) 14.98 (c) 15.08 (d) 6.89
  26. 26.If 4 January is a Sunday, what day of the week is 20 January? (a) Thursday (b) Tuesday (c) Monday (d) Wednesday
  27. 27.What is the smallest number of sweets that can be shared equally among 15 children or among 21 children, with none left over? (a) 36 (b) 210 (c) 105 (d) 315
  28. 28.A batter has an average of 31 runs in 7 matches. How many runs are needed in the next match to raise the average to 39? (a) 64 (b) 95 (c) 39 (d) 47
  29. 29.What is the smallest number you must add to 236 to make it divisible by 5? (a) 3 (b) 1 (c) 2 (d) 4
  30. 30.What is 1/2 of 10? (a) 6 (b) 4 (c) 10 (d) 5
  31. 31.A rectangle is 7 cm long and 5 cm wide. What is its area? (a) 35 sq cm (b) 12 sq cm (c) 24 sq cm (d) 42 sq cm
  32. 32.If 6 notebooks cost ₹150, how much do 11 notebooks cost? (a) ₹155 (b) ₹300 (c) ₹275 (d) ₹1650
  33. 33.The simple interest on ₹3000 for 3 years is ₹720. What is the rate per year? (a) 8% (b) 24% (c) 9% (d) 7%
  34. 34.₹10000 is invested at 9% per year simple interest. What is the amount after 3 years? (a) ₹2700 (b) ₹12700 (c) ₹13600 (d) ₹10900
  35. 35.If 4x + 5 = x + 11, what is x? (a) 4 (b) 3 (c) 2 (d) 1
  36. 36.A shopkeeper buys a toy for ₹340 and sells it for ₹510. What is his profit percent? (a) 51% (b) 50% (c) 55% (d) 45%
  37. 37.What is the average of all the whole numbers from 18 to 28? (a) 5 (b) 10 (c) 24 (d) 23
  38. 38.What is the smallest number of sweets that can be shared equally among 8 children or among 28 children, with none left over? (a) 36 (b) 224 (c) 112 (d) 56
  39. 39.If 25 September is a Sunday, what day of the week is 3 October? (a) Tuesday (b) Wednesday (c) Monday (d) Sunday
  40. 40.Today is Friday. What day of the week will it be after 83 days? (a) Wednesday (b) Thursday (c) Saturday (d) Friday

Answer key

  1. ₹855
  2. 0.086
  3. 3
  4. 5/8
  5. 12.45
  6. 10
  7. 9 cm
  8. ₹190
  9. 4 years
  10. 70 min
  11. 50
  12. Thursday
  13. 28
  14. 9/20
  15. 11
  16. 60
  17. 4
  18. 0.092
  19. 56 cm
  20. Monday
  21. ₹117
  22. 2
  23. 28 min
  24. 64
  25. 15.08
  26. Tuesday
  27. 105
  28. 95
  29. 4
  30. 5
  31. 35 sq cm
  32. ₹275
  33. 8%
  34. ₹12700
  35. 2
  36. 50%
  37. 23
  38. 56
  39. Monday
  40. Thursday

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