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Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 671 · 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 fraction is greater: 1/4 or 3/7? (a) 3/7 (b) 1/4 (c) They are equal
  2. 2.Which is the greatest: 0.018, 0.6, 0.62, 0.591? (a) 0.018 (b) 0.6 (c) 0.62 (d) 0.591
  3. 3.₹104 is shared between two friends in the ratio 4 : 9. How much is the bigger share? (a) ₹32 (b) ₹52 (c) ₹72 (d) ₹8
  4. 4.A square has a perimeter of 20 cm. What is its area? (a) 10 sq cm (b) 36 sq cm (c) 20 sq cm (d) 25 sq cm
  5. 5.Which fraction is greater: 2/3 or 9/10? (a) They are equal (b) 2/3 (c) 9/10
  6. 6.What is 2/3 of 18? (a) 6 (b) 13 (c) 18 (d) 12
  7. 7.A rectangle is 18 cm long and 12 cm wide. What is its perimeter? (a) 60 cm (b) 48 cm (c) 216 cm (d) 30 cm
  8. 8.3/4 + 1/2 = ? (a) 1 (b) 5/4 (c) 2/3 (d) 3/2
  9. 9.3/5 + 5/6 = ? (a) 8/11 (b) 22/15 (c) 7/5 (d) 43/30
  10. 10.Today is Wednesday. What day of the week will it be after 80 days? (a) Saturday (b) Sunday (c) Friday (d) Monday
  11. 11.What is the average of 26, 25, 34, 49, 34 and 42? (a) 42 (b) 36 (c) 35 (d) 34
  12. 12.What is the average of all the whole numbers from 18 to 56? (a) 19 (b) 37 (c) 38 (d) 36
  13. 13.Which fraction is greater: 1/4 or 5/6? (a) They are equal (b) 1/4 (c) 5/6
  14. 14.The simple interest on ₹1500 for 2 years is ₹330. What is the rate per year? (a) 22% (b) 10% (c) 11% (d) 12%
  15. 15.If 2x + 9 = 17, what is x? (a) 5 (b) 4 (c) 8 (d) 13
  16. 16.7.73 + 4.6 = ? (a) 8.19 (b) 12.23 (c) 12.43 (d) 12.33
  17. 17.A bag marked ₹1120 is sold at a 15% discount. What is its selling price? (a) ₹168 (b) ₹1288 (c) ₹1105 (d) ₹952
  18. 18.Two ribbons are 6 cm and 21 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 6 cm (b) 15 cm (c) 1 cm (d) 3 cm
  19. 19.₹280 is shared between two friends in the ratio 5 : 9. How much is the bigger share? (a) ₹20 (b) ₹140 (c) ₹180 (d) ₹100
  20. 20.What is the value of the digit 2 in 82.964? (a) 0.2 (b) 2 (c) 0.02 (d) 20
  21. 21.A bag marked ₹1120 is sold at a 50% discount. What is its selling price? (a) ₹1680 (b) ₹561 (c) ₹560 (d) ₹1070
  22. 22.If 4 December is a Monday, what day of the week is 17 December? (a) Tuesday (b) Saturday (c) Monday (d) Sunday
  23. 23.Two ribbons are 12 cm and 28 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 4 cm (b) 16 cm (c) 12 cm (d) 2 cm
  24. 24.A rectangle is 10 cm long and 3 cm wide. What is its area? (a) 26 sq cm (b) 40 sq cm (c) 13 sq cm (d) 30 sq cm
  25. 25.Which is the smallest: 0.013, 0.41, 0.334, 0.4? (a) 0.013 (b) 0.41 (c) 0.334 (d) 0.4
  26. 26.₹42 is shared between two friends in the ratio 1 : 5. How much is the bigger share? (a) ₹42 (b) ₹7 (c) ₹21 (d) ₹35
  27. 27.A shopkeeper buys a toy for ₹760 and sells it for ₹722. What is his loss percent? (a) 10% (b) 38% (c) 5% (d) 6%
  28. 28.If 2x + 25 = 45, what is x? (a) 11 (b) 20 (c) 10 (d) 35
  29. 29.What is the units digit of 2^52? (a) 2 (b) 6 (c) 8 (d) 4
  30. 30.1.25 + 2.1 = ? (a) 3.45 (b) 1.46 (c) 3.35 (d) 3.25
  31. 31.If 5x + 16 = 66, what is x? (a) 10 (b) 9 (c) 50 (d) 11
  32. 32.6.58 + 5.5 = ? (a) 7.13 (b) 12.18 (c) 12.08 (d) 11.98
  33. 33.What is the remainder when 202 is divided by 10? (a) 3 (b) 1 (c) 2 (d) 8
  34. 34.Which fraction is greater: 7/9 or 4/5? (a) They are equal (b) 7/9 (c) 4/5
  35. 35.Every pair follows the same rule: 2 : 11, 4 : 23, 6 : 43. What is 5 : ? (a) 14 (b) 33 (c) 31 (d) 32
  36. 36.What is the remainder when 142 is divided by 10? (a) 8 (b) 2 (c) 1 (d) 3
  37. 37.A rectangle has an area of 112 sq cm and a length of 14 cm. What is its width? (a) 8 cm (b) 98 cm (c) 9 cm (d) 16 cm
  38. 38.A rectangle is 20 cm long and 8 cm wide. What is its perimeter? (a) 28 cm (b) 160 cm (c) 48 cm (d) 56 cm
  39. 39.Every pair follows the same rule: 1 : 1, 3 : 27, 4 : 64. What is 5 : ? (a) 126 (b) 125 (c) 5 (d) 101
  40. 40.If 3x + 5 = 44, what is x? (a) 12 (b) 13 (c) 14 (d) 39

Answer key

  1. 3/7
  2. 0.62
  3. ₹72
  4. 25 sq cm
  5. 9/10
  6. 12
  7. 60 cm
  8. 5/4
  9. 43/30
  10. Saturday
  11. 35
  12. 37
  13. 5/6
  14. 11%
  15. 4
  16. 12.33
  17. ₹952
  18. 3 cm
  19. ₹180
  20. 2
  21. ₹560
  22. Sunday
  23. 4 cm
  24. 30 sq cm
  25. 0.013
  26. ₹35
  27. 5%
  28. 10
  29. 6
  30. 3.35
  31. 10
  32. 12.08
  33. 2
  34. 4/5
  35. 32
  36. 2
  37. 8 cm
  38. 56 cm
  39. 125
  40. 13

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