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Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 974 · 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 shopkeeper buys a toy for ₹660 and sells it for ₹693. What is his profit percent? (a) 5% (b) 10% (c) 33% (d) 6%
  2. 2.Which fraction is greater: 4/9 or 8/11? (a) 8/11 (b) 4/9 (c) They are equal
  3. 3.If 23 September is a Sunday, what day of the week is 19 October? (a) Saturday (b) Sunday (c) Thursday (d) Friday
  4. 4.Every pair follows the same rule: 4 : 64, 5 : 125, 6 : 216. What is 1 : ? (a) 16 (b) 61 (c) 2 (d) 1
  5. 5.What is the average of all the whole numbers from 25 to 39? (a) 14 (b) 33 (c) 7 (d) 32
  6. 6.If 5x + 10 = 30, what is x? (a) 20 (b) 8 (c) 5 (d) 4
  7. 7.A shopkeeper buys a toy for ₹120 and sells it for ₹102. What is his loss percent? (a) 15% (b) 10% (c) 18% (d) 20%
  8. 8.A rectangle has an area of 24 sq cm and a length of 8 cm. What is its width? (a) 3 cm (b) 16 cm (c) 4 cm (d) 6 cm
  9. 9.A batter has an average of 48 runs in 7 matches. How many runs are needed in the next match to raise the average to 55? (a) 55 (b) 56 (c) 62 (d) 104
  10. 10.What is the smallest number of sweets that can be shared equally among 4 children or among 6 children, with none left over? (a) 24 (b) 10 (c) 12 (d) 13
  11. 11.If 3 mangoes cost ₹24, how much do 4 mangoes cost? (a) ₹32 (b) ₹25 (c) ₹96 (d) ₹40
  12. 12.Which fraction is greater: 2/5 or 3/10? (a) 3/10 (b) 2/5 (c) They are equal
  13. 13.1/5 + 3/7 = ? (a) 22/35 (b) 1/3 (c) 3/5 (d) 23/35
  14. 14.Every pair follows the same rule: 1 : 1, 5 : 125, 6 : 216. What is 3 : ? (a) 28 (b) 3 (c) 26 (d) 27
  15. 15.If 4x + 17 = 53, what is x? (a) 10 (b) 8 (c) 36 (d) 9
  16. 16.A batter has an average of 30 runs in 3 matches. How many runs are needed in the next match to raise the average to 34? (a) 16 (b) 34 (c) 46 (d) 38
  17. 17.What is the smallest number of sweets that can be shared equally among 12 children or among 20 children, with none left over? (a) 240 (b) 60 (c) 120 (d) 32
  18. 18.A rectangle has an area of 160 sq cm and a length of 16 cm. What is its width? (a) 144 cm (b) 10 cm (c) 11 cm (d) 20 cm
  19. 19.Which fraction is greater: 6/11 or 1/3? (a) 1/3 (b) 6/11 (c) They are equal
  20. 20.What is the remainder when 178 is divided by 3? (a) 0 (b) 2 (c) 1
  21. 21.₹112 is shared between two friends in the ratio 5 : 9. How much is the bigger share? (a) ₹56 (b) ₹72 (c) ₹40 (d) ₹8
  22. 22.A square has a perimeter of 20 cm. What is its area? (a) 20 sq cm (b) 36 sq cm (c) 25 sq cm (d) 10 sq cm
  23. 23.If 12 November is a Friday, what day of the week is 18 December? (a) Monday (b) Friday (c) Saturday (d) Sunday
  24. 24.A shopkeeper buys a toy for ₹580 and sells it for ₹493. What is his loss percent? (a) 87% (b) 15% (c) 10% (d) 20%
  25. 25.Which is the smallest: 0.127, 0.072, 0.2, 0.21? (a) 0.127 (b) 0.072 (c) 0.2 (d) 0.21
  26. 26.A shopkeeper buys a toy for ₹260 and sells it for ₹312. What is his profit percent? (a) 20% (b) 15% (c) 52% (d) 25%
  27. 27.The simple interest on ₹4000 for 5 years is ₹1600. What is the rate per year? (a) 7% (b) 8% (c) 9% (d) 40%
  28. 28.What is the remainder when 179 is divided by 11? (a) 4 (b) 2 (c) 8 (d) 3
  29. 29.What is the remainder when 57 is divided by 4? (a) 0 (b) 2 (c) 3 (d) 1
  30. 30.₹7000 is invested at 4% per year simple interest. What is the amount after 5 years? (a) ₹8680 (b) ₹8400 (c) ₹7280 (d) ₹1400
  31. 31.Which is the smallest: 0.5, 0.51, 0.443, 0.058? (a) 0.5 (b) 0.51 (c) 0.443 (d) 0.058
  32. 32.A rectangle has an area of 10 sq cm and a length of 5 cm. What is its width? (a) 2 cm (b) 5 cm (c) 4 cm (d) 3 cm
  33. 33.A rectangle is 8 cm long and 5 cm wide. What is its area? (a) 26 sq cm (b) 13 sq cm (c) 48 sq cm (d) 40 sq cm
  34. 34.Two ribbons are 10 cm and 45 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 10 cm (b) 1 cm (c) 5 cm (d) 35 cm
  35. 35.The average of 5 numbers is 21. When one number is taken away, the average of the rest is 18. Which number was taken away? (a) 21 (b) 15 (c) 33 (d) 39
  36. 36.What is the value of the digit 3 in 19.634? (a) 3 (b) 0.3 (c) 0.003 (d) 0.03
  37. 37.If 2x + 22 = 26, what is x? (a) 3 (b) 2 (c) 4 (d) 24
  38. 38.Today is Friday. What day of the week will it be after 91 days? (a) Saturday (b) Thursday (c) Friday (d) Sunday
  39. 39.If 4x + 3 = 19, what is x? (a) 4 (b) 16 (c) 3 (d) 5
  40. 40.A shopkeeper buys a toy for ₹520 and sells it for ₹650. What is his profit percent? (a) 30% (b) 20% (c) 26% (d) 25%

Answer key

  1. 5%
  2. 8/11
  3. Friday
  4. 1
  5. 32
  6. 4
  7. 15%
  8. 3 cm
  9. 104
  10. 12
  11. ₹32
  12. 2/5
  13. 22/35
  14. 27
  15. 9
  16. 46
  17. 60
  18. 10 cm
  19. 6/11
  20. 1
  21. ₹72
  22. 25 sq cm
  23. Saturday
  24. 15%
  25. 0.072
  26. 20%
  27. 8%
  28. 3
  29. 1
  30. ₹8400
  31. 0.058
  32. 2 cm
  33. 40 sq cm
  34. 5 cm
  35. 33
  36. 0.03
  37. 2
  38. Friday
  39. 4
  40. 25%

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