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Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 742 · 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 bag marked ₹1040 is sold at a 10% discount. What is its selling price? (a) ₹104 (b) ₹936 (c) ₹1030 (d) ₹1144
  2. 2.What is the remainder when 277 is divided by 12? (a) 1 (b) 0 (c) 11 (d) 2
  3. 3.A shopkeeper buys a toy for ₹160 and sells it for ₹120. What is his loss percent? (a) 30% (b) 25% (c) 20% (d) 40%
  4. 4.What is the smallest number of sweets that can be shared equally among 4 children or among 10 children, with none left over? (a) 14 (b) 21 (c) 20 (d) 40
  5. 5.If 8x + 16 = 40, what is x? (a) 4 (b) 24 (c) 3 (d) 7
  6. 6.What is the value of the digit 8 in 57.381? (a) 0.008 (b) 8 (c) 0.08 (d) 0.8
  7. 7.If 4x + 6 = 34, what is x? (a) 28 (b) 10 (c) 8 (d) 7
  8. 8.What is 2/7 of 21? (a) 6 (b) 3 (c) 9 (d) 15
  9. 9.A square has a perimeter of 24 cm. What is its area? (a) 24 sq cm (b) 49 sq cm (c) 36 sq cm (d) 12 sq cm
  10. 10.Two ribbons are 33 cm and 55 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 1 cm (b) 33 cm (c) 22 cm (d) 11 cm
  11. 11.A rectangle is 7 cm long and 5 cm wide. What is its area? (a) 24 sq cm (b) 42 sq cm (c) 35 sq cm (d) 12 sq cm
  12. 12.What is the smallest number of sweets that can be shared equally among 6 children or among 21 children, with none left over? (a) 42 (b) 126 (c) 84 (d) 27
  13. 13.Today is Friday. What day of the week will it be after 17 days? (a) Tuesday (b) Wednesday (c) Monday (d) Sunday
  14. 14.What is 1/2 of 14? (a) 7 (b) 8 (c) 6 (d) 14
  15. 15.What is the value of the digit 3 in 43.716? (a) 0.03 (b) 3 (c) 30 (d) 0.3
  16. 16.A bag marked ₹1980 is sold at a 50% discount. What is its selling price? (a) ₹990 (b) ₹1930 (c) ₹2970 (d) ₹991
  17. 17.What is the value of the digit 4 in 51.749? (a) 4 (b) 0.04 (c) 0.004 (d) 0.4
  18. 18.If 9x − 96 = 3, what is x? (a) 12 (b) 11 (c) 10 (d) 99
  19. 19.Which fraction is greater: 3/7 or 9/10? (a) They are equal (b) 9/10 (c) 3/7
  20. 20.What is the smallest number you must add to 253 to make it divisible by 5? (a) 1 (b) 2 (c) 4 (d) 3
  21. 21.A rectangle has an area of 228 sq cm and a length of 19 cm. What is its width? (a) 209 cm (b) 13 cm (c) 12 cm (d) 24 cm
  22. 22.The simple interest on ₹2500 for 3 years is ₹750. What is the rate per year? (a) 11% (b) 30% (c) 10% (d) 9%
  23. 23.5.86 + 5.9 = ? (a) 11.66 (b) 6.45 (c) 11.76 (d) 11.86
  24. 24.Two ribbons are 24 cm and 108 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) 84 cm (c) 24 cm (d) 12 cm
  25. 25.What is the value of the digit 2 in 69.312? (a) 0.002 (b) 0.2 (c) 2 (d) 0.02
  26. 26.Two bells ring every 8 minutes and every 12 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 20 min (b) 4 min (c) 24 min (d) 96 min
  27. 27.A bag marked ₹1440 is sold at a 40% discount. What is its selling price? (a) ₹864 (b) ₹1400 (c) ₹2016 (d) ₹576
  28. 28.A shopkeeper buys a toy for ₹100 and sells it for ₹105. What is his profit percent? (a) 10% (b) 6% (c) 4% (d) 5%
  29. 29.If 3x − 2 = 4, what is x? (a) 2 (b) 6 (c) 1 (d) 3
  30. 30.What is the remainder when 316 is divided by 10? (a) 4 (b) 6 (c) 5 (d) 7
  31. 31.2.09 + 9.9 = ? (a) 3.08 (b) 12.09 (c) 11.99 (d) 11.89
  32. 32.What is 15% of 240? (a) 72 (b) 360 (c) 36 (d) 204
  33. 33.₹8000 is invested at 12% per year simple interest. What is the amount after 5 years? (a) ₹8960 (b) ₹12800 (c) ₹13760 (d) ₹4800
  34. 34.What is the value of the digit 5 in 14.568? (a) 0.05 (b) 0.005 (c) 0.5 (d) 5
  35. 35.The simple interest on ₹3500 for 2 years is ₹280. What is the rate per year? (a) 3% (b) 5% (c) 4% (d) 8%
  36. 36.A square has a perimeter of 20 cm. What is its area? (a) 36 sq cm (b) 25 sq cm (c) 10 sq cm (d) 20 sq cm
  37. 37.If 9 kites cost ₹117, how much do 12 kites cost? (a) ₹120 (b) ₹156 (c) ₹169 (d) ₹1404
  38. 38.If 5 kites cost ₹75, how much do 6 kites cost? (a) ₹105 (b) ₹450 (c) ₹76 (d) ₹90
  39. 39.If 17 July is a Wednesday, what day of the week is 11 August? (a) Saturday (b) Tuesday (c) Sunday (d) Monday
  40. 40.Two bells ring every 10 minutes and every 35 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 350 min (b) 70 min (c) 5 min (d) 45 min

Answer key

  1. ₹936
  2. 1
  3. 25%
  4. 20
  5. 3
  6. 0.08
  7. 7
  8. 6
  9. 36 sq cm
  10. 11 cm
  11. 35 sq cm
  12. 42
  13. Monday
  14. 7
  15. 3
  16. ₹990
  17. 0.04
  18. 11
  19. 9/10
  20. 2
  21. 12 cm
  22. 10%
  23. 11.76
  24. 12 cm
  25. 0.002
  26. 24 min
  27. ₹864
  28. 5%
  29. 2
  30. 6
  31. 11.99
  32. 36
  33. ₹12800
  34. 0.5
  35. 4%
  36. 25 sq cm
  37. ₹156
  38. ₹90
  39. Sunday
  40. 70 min

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