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Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 971 · 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 the average of all the whole numbers from 48 to 78? (a) 15 (b) 64 (c) 63 (d) 30
  2. 2.A bag marked ₹1780 is sold at a 20% discount. What is its selling price? (a) ₹1760 (b) ₹356 (c) ₹2136 (d) ₹1424
  3. 3.What is the value of the digit 2 in 63.297? (a) 0.02 (b) 2 (c) 0.002 (d) 0.2
  4. 4.A teacher has 30 pencils and 35 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 30 (b) 1 (c) 210 (d) 5
  5. 5.A rectangle is 9 cm long and 8 cm wide. What is its area? (a) 17 sq cm (b) 34 sq cm (c) 81 sq cm (d) 72 sq cm
  6. 6.If 7x + 24 = 94, what is x? (a) 70 (b) 9 (c) 11 (d) 10
  7. 7.Which fraction is greater: 1/5 or 2/3? (a) They are equal (b) 2/3 (c) 1/5
  8. 8.What is the smallest number you must add to 179 to make it divisible by 4? (a) 2 (b) 3 (c) 1
  9. 9.Every pair follows the same rule: 3 : 18, 4 : 24, 7 : 42. What is 8 : ? (a) 47 (b) 23 (c) 49 (d) 48
  10. 10.What is 4/5 of 55? (a) 11 (b) 55 (c) 44 (d) 45
  11. 11.What is 1/2 of 16? (a) 9 (b) 8 (c) 16 (d) 7
  12. 12.1/7 + 1/2 = ? (a) 2/9 (b) 5/7 (c) 4/7 (d) 9/14
  13. 13.If 5x + 20 = 45, what is x? (a) 25 (b) 13 (c) 6 (d) 5
  14. 14.₹7500 is invested at 4% per year simple interest. What is the amount after 3 years? (a) ₹7800 (b) ₹8700 (c) ₹8400 (d) ₹900
  15. 15.The simple interest on ₹4000 for 5 years is ₹2200. What is the rate per year? (a) 10% (b) 12% (c) 55% (d) 11%
  16. 16.Today is Thursday. What day of the week will it be after 49 days? (a) Saturday (b) Wednesday (c) Friday (d) Thursday
  17. 17.6.39 + 4.7 = ? (a) 6.86 (b) 11.09 (c) 10.99 (d) 11.19
  18. 18.If 9x + 5 = 8x + 13, what is x? (a) 9 (b) 8 (c) 18 (d) 10
  19. 19.If x/6 + 3 = 8, what is x? (a) 66 (b) 45 (c) 30 (d) 5
  20. 20.The simple interest on ₹3500 for 2 years is ₹280. What is the rate per year? (a) 8% (b) 3% (c) 4% (d) 5%
  21. 21.₹64 is shared between two friends in the ratio 1 : 7. How much is the bigger share? (a) ₹64 (b) ₹8 (c) ₹32 (d) ₹56
  22. 22.Every pair follows the same rule: 4 : 23, 6 : 33, 8 : 43. What is 2 : ? (a) 14 (b) 13 (c) 12 (d) 21
  23. 23.A square has a perimeter of 44 cm. What is its area? (a) 144 sq cm (b) 121 sq cm (c) 22 sq cm (d) 44 sq cm
  24. 24.A rectangle is 15 cm long and 5 cm wide. What is its perimeter? (a) 75 cm (b) 20 cm (c) 35 cm (d) 40 cm
  25. 25.A rectangle has an area of 90 sq cm and a length of 15 cm. What is its width? (a) 7 cm (b) 12 cm (c) 75 cm (d) 6 cm
  26. 26.A rectangle is 18 cm long and 2 cm wide. What is its perimeter? (a) 40 cm (b) 36 cm (c) 38 cm (d) 20 cm
  27. 27.Which fraction is greater: 2/3 or 3/8? (a) 3/8 (b) They are equal (c) 2/3
  28. 28.What is 1/7 of 14? (a) 3 (b) 2 (c) 12 (d) 4
  29. 29.4/7 + 2/7 = ? (a) 5/7 (b) 6/7 (c) 3/7 (d) 1
  30. 30.A bag marked ₹1380 is sold at a 30% discount. What is its selling price? (a) ₹1794 (b) ₹414 (c) ₹966 (d) ₹1350
  31. 31.What is the smallest number of sweets that can be shared equally among 6 children or among 8 children, with none left over? (a) 25 (b) 48 (c) 14 (d) 24
  32. 32.If 13 October is a Wednesday, what day of the week is 21 October? (a) Wednesday (b) Saturday (c) Thursday (d) Friday
  33. 33.What is the value of the digit 6 in 96.821? (a) 0.06 (b) 0.6 (c) 60 (d) 6
  34. 34.A shopkeeper buys a toy for ₹100 and sells it for ₹115. What is his profit percent? (a) 20% (b) 10% (c) 16% (d) 15%
  35. 35.What is the smallest number of sweets that can be shared equally among 9 children or among 15 children, with none left over? (a) 90 (b) 135 (c) 45 (d) 24
  36. 36.1/4 + 3/6 = ? (a) 2/5 (b) 5/6 (c) 2/3 (d) 3/4
  37. 37.A teacher has 35 pencils and 40 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 1 (b) 35 (c) 280 (d) 5
  38. 38.If 7x − 58 = 26, what is x? (a) 12 (b) 11 (c) 84 (d) 13
  39. 39.If 2 May is a Wednesday, what day of the week is 13 May? (a) Saturday (b) Tuesday (c) Monday (d) Sunday
  40. 40.3/6 + 2/8 = ? (a) 19/24 (b) 17/24 (c) 5/14 (d) 3/4

Answer key

  1. 63
  2. ₹1424
  3. 0.2
  4. 5
  5. 72 sq cm
  6. 10
  7. 2/3
  8. 1
  9. 48
  10. 44
  11. 8
  12. 9/14
  13. 5
  14. ₹8400
  15. 11%
  16. Thursday
  17. 11.09
  18. 8
  19. 30
  20. 4%
  21. ₹56
  22. 13
  23. 121 sq cm
  24. 40 cm
  25. 6 cm
  26. 40 cm
  27. 2/3
  28. 2
  29. 6/7
  30. ₹966
  31. 24
  32. Thursday
  33. 6
  34. 15%
  35. 45
  36. 3/4
  37. 5
  38. 12
  39. Sunday
  40. 3/4

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