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Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 653 · 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.Which is the greatest: 0.6, 0.596, 0.65, 0.076? (a) 0.6 (b) 0.596 (c) 0.65 (d) 0.076
  2. 2.If 6 kites cost ₹60, how much do 9 kites cost? (a) ₹90 (b) ₹540 (c) ₹63 (d) ₹100
  3. 3.What is the value of the digit 9 in 53.986? (a) 9 (b) 0.09 (c) 0.9 (d) 0.009
  4. 4.If 2 mangoes cost ₹10, how much do 5 mangoes cost? (a) ₹13 (b) ₹50 (c) ₹30 (d) ₹25
  5. 5.6 workers can build a wall in 4 days. How many days will 3 workers take, working at the same speed? (a) 8 days (b) 7 days (c) 2 days (d) 1 day
  6. 6.₹5500 is invested at 7% per year simple interest. What is the amount after 4 years? (a) ₹7040 (b) ₹5885 (c) ₹1540 (d) ₹7425
  7. 7.2.92 + 5.2 = ? (a) 3.44 (b) 8.22 (c) 8.02 (d) 8.12
  8. 8.Every pair follows the same rule: 2 : 8, 3 : 12, 9 : 36. What is 7 : ? (a) 13 (b) 27 (c) 28 (d) 29
  9. 9.1/6 + 1/3 = ? (a) 2/3 (b) 1/3 (c) 1/2 (d) 2/9
  10. 10.What is the smallest number of sweets that can be shared equally among 15 children or among 25 children, with none left over? (a) 75 (b) 150 (c) 40 (d) 375
  11. 11.What is the remainder when 178 is divided by 5? (a) 1 (b) 2 (c) 3 (d) 4
  12. 12.If 5x + 8 = 3x + 16, what is x? (a) 12 (b) 1 (c) 5 (d) 4
  13. 13.If 1 October is a Thursday, what day of the week is 15 October? (a) Thursday (b) Saturday (c) Friday (d) Wednesday
  14. 14.Every pair follows the same rule: 1 : 1, 2 : 8, 3 : 27. What is 6 : ? (a) 6 (b) 216 (c) 84 (d) 217
  15. 15.₹273 is shared between two friends in the ratio 3 : 4. How much is the bigger share? (a) ₹156 (b) ₹39 (c) ₹117 (d) ₹195
  16. 16.If 3x + 1 = x + 17, what is x? (a) 8 (b) 10 (c) 4 (d) 9
  17. 17.What is 5% of 420? (a) 21 (b) 42 (c) 210 (d) 399
  18. 18.What is the value of the digit 8 in 18.963? (a) 0.08 (b) 0.8 (c) 80 (d) 8
  19. 19.Which fraction is greater: 3/5 or 1/9? (a) 3/5 (b) They are equal (c) 1/9
  20. 20.In how many years will ₹5000 earn ₹600 simple interest at 3% per year? (a) 3 years (b) 8 years (c) 5 years (d) 4 years
  21. 21.What is the value of the digit 8 in 13.827? (a) 0.08 (b) 0.008 (c) 8 (d) 0.8
  22. 22.Today is Saturday. What day of the week will it be after 68 days? (a) Friday (b) Wednesday (c) Thursday (d) Saturday
  23. 23.What is the value of the digit 7 in 73.145? (a) 7 (b) 0.07 (c) 0.7 (d) 70
  24. 24.A rectangle has an area of 143 sq cm and a length of 13 cm. What is its width? (a) 11 cm (b) 12 cm (c) 130 cm (d) 22 cm
  25. 25.Which is the greatest: 0.82, 0.085, 0.8, 0.737? (a) 0.82 (b) 0.085 (c) 0.8 (d) 0.737
  26. 26.A shopkeeper buys a toy for ₹880 and sells it for ₹1100. What is his profit percent? (a) 20% (b) 25% (c) 30% (d) 26%
  27. 27.A teacher has 20 pencils and 25 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 100 (b) 5 (c) 1 (d) 20
  28. 28.What is the smallest number of sweets that can be shared equally among 4 children or among 6 children, with none left over? (a) 12 (b) 10 (c) 24 (d) 13
  29. 29.Which of these numbers is divisible by 8? (a) 5216 (b) 5215 (c) 5218 (d) 5230
  30. 30.If 2 July is a Tuesday, what day of the week is 12 July? (a) Sunday (b) Friday (c) Thursday (d) Saturday
  31. 31.If 6x + 17 = x + 22, what is x? (a) 4 (b) 2 (c) 3 (d) 1
  32. 32.Every pair follows the same rule: 2 : 4, 3 : 9, 4 : 16. What is 8 : ? (a) 44 (b) 16 (c) 64 (d) 10
  33. 33.5 workers can build a wall in 15 days. How many days will 3 workers take, working at the same speed? (a) 9 days (b) 13 days (c) 17 days (d) 25 days
  34. 34.Which of these numbers is divisible by 4? (a) 270 (b) 268 (c) 273 (d) 267
  35. 35.Two ribbons are 35 cm and 63 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 7 cm (b) 35 cm (c) 1 cm (d) 28 cm
  36. 36.5.26 + 4.3 = ? (a) 5.69 (b) 9.46 (c) 9.56 (d) 9.66
  37. 37.₹48 is shared between two friends in the ratio 1 : 3. How much is the bigger share? (a) ₹36 (b) ₹12 (c) ₹24 (d) ₹48
  38. 38.Which fraction is greater: 1/10 or 2/3? (a) 1/10 (b) They are equal (c) 2/3
  39. 39.1.07 + 4.1 = ? (a) 5.27 (b) 5.17 (c) 1.48 (d) 5.07
  40. 40.What is the smallest number of sweets that can be shared equally among 8 children or among 14 children, with none left over? (a) 57 (b) 22 (c) 112 (d) 56

Answer key

  1. 0.65
  2. ₹90
  3. 0.9
  4. ₹25
  5. 8 days
  6. ₹7040
  7. 8.12
  8. 28
  9. 1/2
  10. 75
  11. 3
  12. 4
  13. Thursday
  14. 216
  15. ₹156
  16. 8
  17. 21
  18. 8
  19. 3/5
  20. 4 years
  21. 0.8
  22. Thursday
  23. 70
  24. 11 cm
  25. 0.82
  26. 25%
  27. 5
  28. 12
  29. 5216
  30. Friday
  31. 1
  32. 64
  33. 25 days
  34. 268
  35. 7 cm
  36. 9.56
  37. ₹36
  38. 2/3
  39. 5.17
  40. 56

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