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Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 31 · 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.Two ribbons are 28 cm and 36 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 28 cm (b) 4 cm (c) 8 cm (d) 2 cm
  2. 2.If 6x − 11 = 7, what is x? (a) 4 (b) 3 (c) 18 (d) 2
  3. 3.₹560 is shared between two friends in the ratio 5 : 9. How much is the bigger share? (a) ₹360 (b) ₹280 (c) ₹40 (d) ₹200
  4. 4.If 13 July is a Wednesday, what day of the week is 14 August? (a) Saturday (b) Sunday (c) Tuesday (d) Monday
  5. 5.If 3x − 12 = 6, what is x? (a) 18 (b) 5 (c) 7 (d) 6
  6. 6.What is 7/8 of 32? (a) 28 (b) 32 (c) 29 (d) 4
  7. 7.If 16 November is a Thursday, what day of the week is 8 December? (a) Saturday (b) Sunday (c) Thursday (d) Friday
  8. 8.9.49 + 9.3 = ? (a) 18.69 (b) 18.79 (c) 18.89 (d) 10.42
  9. 9.A shopkeeper buys a toy for ₹880 and sells it for ₹968. What is his profit percent? (a) 5% (b) 88% (c) 15% (d) 10%
  10. 10.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
  11. 11.Two ribbons are 8 cm and 14 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 2 cm (b) 8 cm (c) 1 cm (d) 6 cm
  12. 12.Today is Monday. What day of the week will it be after 24 days? (a) Saturday (b) Thursday (c) Wednesday (d) Friday
  13. 13.What is 1/2 of 4? (a) 3 (b) 4 (c) 2 (d) 1
  14. 14.1/3 + 1/2 = ? (a) 2/3 (b) 5/6 (c) 2/5 (d) 1
  15. 15.Which fraction is greater: 5/8 or 2/5? (a) 5/8 (b) They are equal (c) 2/5
  16. 16.A square has a perimeter of 32 cm. What is its area? (a) 32 sq cm (b) 16 sq cm (c) 64 sq cm (d) 81 sq cm
  17. 17.What is the units digit of 4^22? (a) 7 (b) 5 (c) 4 (d) 6
  18. 18.What is the smallest number you must add to 374 to make it divisible by 5? (a) 2 (b) 3 (c) 4 (d) 1
  19. 19.3/5 + 2/5 = ? (a) 1 (b) 1/2 (c) 4/5 (d) 6/5
  20. 20.If 3 pens cost ₹15, how much do 11 pens cost? (a) ₹55 (b) ₹60 (c) ₹165 (d) ₹23
  21. 21.What is the simple interest on ₹8500 at 5% per year for 4 years? (a) ₹425 (b) ₹2125 (c) ₹10200 (d) ₹1700
  22. 22.The simple interest on ₹6500 for 3 years is ₹1560. What is the rate per year? (a) 9% (b) 8% (c) 24% (d) 7%
  23. 23.7/9 + 1/2 = ? (a) 8/11 (b) 4/3 (c) 23/18 (d) 11/9
  24. 24.In how many years will ₹3000 earn ₹240 simple interest at 4% per year? (a) 4 years (b) 1 year (c) 2 years (d) 3 years
  25. 25.A square has a perimeter of 56 cm. What is its area? (a) 56 sq cm (b) 28 sq cm (c) 225 sq cm (d) 196 sq cm
  26. 26.If 3x + 3 = 39, what is x? (a) 14 (b) 12 (c) 13 (d) 36
  27. 27.A rectangle has an area of 228 sq cm and a length of 19 cm. What is its width? (a) 209 cm (b) 12 cm (c) 13 cm (d) 24 cm
  28. 28.A rectangle is 7 cm long and 3 cm wide. What is its area? (a) 10 sq cm (b) 20 sq cm (c) 21 sq cm (d) 28 sq cm
  29. 29.A rectangle has an area of 56 sq cm and a length of 14 cm. What is its width? (a) 8 cm (b) 5 cm (c) 42 cm (d) 4 cm
  30. 30.Which is the smallest: 0.64, 0.6, 0.015, 0.581? (a) 0.64 (b) 0.6 (c) 0.015 (d) 0.581
  31. 31.If 6x + 7 = 4x + 11, what is x? (a) 9 (b) 2 (c) 4 (d) 3
  32. 32.Which fraction is greater: 7/10 or 2/5? (a) 2/5 (b) They are equal (c) 7/10
  33. 33.8.62 + 2.2 = ? (a) 10.72 (b) 8.84 (c) 10.82 (d) 10.92
  34. 34.The simple interest on ₹3000 for 5 years is ₹750. What is the rate per year? (a) 5% (b) 25% (c) 6% (d) 4%
  35. 35.If 7x − 12 = 79, what is x? (a) 12 (b) 13 (c) 91 (d) 14
  36. 36.What is the smallest number of sweets that can be shared equally among 6 children or among 21 children, with none left over? (a) 126 (b) 27 (c) 84 (d) 42
  37. 37.Two bells ring every 12 minutes and every 20 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 4 min (b) 32 min (c) 240 min (d) 60 min
  38. 38.If 4 pens cost ₹32, how much do 6 pens cost? (a) ₹56 (b) ₹192 (c) ₹34 (d) ₹48
  39. 39.1.96 + 1.7 = ? (a) 3.76 (b) 2.13 (c) 3.66 (d) 3.56
  40. 40.In how many years will ₹1500 earn ₹540 simple interest at 9% per year? (a) 8 years (b) 4 years (c) 5 years (d) 3 years

Answer key

  1. 4 cm
  2. 3
  3. ₹360
  4. Sunday
  5. 6
  6. 28
  7. Friday
  8. 18.79
  9. 10%
  10. 25 sq cm
  11. 2 cm
  12. Thursday
  13. 2
  14. 5/6
  15. 5/8
  16. 64 sq cm
  17. 6
  18. 1
  19. 1
  20. ₹55
  21. ₹1700
  22. 8%
  23. 23/18
  24. 2 years
  25. 196 sq cm
  26. 12
  27. 12 cm
  28. 21 sq cm
  29. 4 cm
  30. 0.015
  31. 2
  32. 7/10
  33. 10.82
  34. 5%
  35. 13
  36. 42
  37. 60 min
  38. ₹48
  39. 3.66
  40. 4 years

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