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Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 805 · 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 ₹140 and sells it for ₹84. What is his loss percent? (a) 56% (b) 45% (c) 40% (d) 35%
  2. 2.If 13 August is a Monday, what day of the week is 18 September? (a) Tuesday (b) Monday (c) Thursday (d) Wednesday
  3. 3.A rectangle has an area of 36 sq cm and a length of 18 cm. What is its width? (a) 4 cm (b) 3 cm (c) 18 cm (d) 2 cm
  4. 4.A teacher has 30 pencils and 40 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 5 (b) 30 (c) 120 (d) 10
  5. 5.2/3 + 1/3 = ? (a) 1 (b) 4/3 (c) 1/2 (d) 2/3
  6. 6.If 4 pens cost ₹24, how much do 2 pens cost? (a) ₹22 (b) ₹18 (c) ₹48 (d) ₹12
  7. 7.5/8 + 5/6 = ? (a) 35/24 (b) 5/7 (c) 17/12 (d) 3/2
  8. 8.If x/6 + 1 = 3, what is x? (a) 17 (b) 2 (c) 24 (d) 12
  9. 9.If 4 kites cost ₹44, how much do 2 kites cost? (a) ₹33 (b) ₹88 (c) ₹22 (d) ₹42
  10. 10.1/7 + 1/2 = ? (a) 2/9 (b) 4/7 (c) 5/7 (d) 9/14
  11. 11.A rectangle has an area of 12 sq cm and a length of 6 cm. What is its width? (a) 2 cm (b) 4 cm (c) 3 cm (d) 6 cm
  12. 12.If 5x + 18 = 58, what is x? (a) 8 (b) 9 (c) 40 (d) 7
  13. 13.What is the smallest number you must add to 125 to make it divisible by 7? (a) 3 (b) 6 (c) 2 (d) 1
  14. 14.What is the value of the digit 5 in 45.872? (a) 0.5 (b) 0.05 (c) 5 (d) 50
  15. 15.What is 1/3 of 9? (a) 3 (b) 6 (c) 4 (d) 2
  16. 16.A square has a perimeter of 32 cm. What is its area? (a) 64 sq cm (b) 32 sq cm (c) 81 sq cm (d) 16 sq cm
  17. 17.If 6 pens cost ₹96, how much do 7 pens cost? (a) ₹97 (b) ₹112 (c) ₹128 (d) ₹672
  18. 18.₹180 is shared between two friends in the ratio 5 : 7. How much is the bigger share? (a) ₹90 (b) ₹105 (c) ₹15 (d) ₹75
  19. 19.What is the smallest number of sweets that can be shared equally among 24 children or among 30 children, with none left over? (a) 720 (b) 240 (c) 54 (d) 120
  20. 20.What is the value of the digit 8 in 21.548? (a) 8 (b) 0.08 (c) 0.8 (d) 0.008
  21. 21.The average of 4 numbers is 32. When one number is taken away, the average of the rest is 31. Which number was taken away? (a) 32 (b) 63 (c) 35 (d) 4
  22. 22.If 6 May is a Wednesday, what day of the week is 19 May? (a) Thursday (b) Wednesday (c) Tuesday (d) Monday
  23. 23.If 4x + 11 = 2x + 15, what is x? (a) 4 (b) 2 (c) 13 (d) 3
  24. 24.A shopkeeper buys a toy for ₹200 and sells it for ₹190. What is his loss percent? (a) 5% (b) 4% (c) 10% (d) 6%
  25. 25.A teacher has 21 pencils and 28 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 84 (b) 1 (c) 21 (d) 7
  26. 26.A rectangle has an area of 45 sq cm and a length of 15 cm. What is its width? (a) 4 cm (b) 3 cm (c) 30 cm (d) 6 cm
  27. 27.A batter has an average of 43 runs in 5 matches. How many runs are needed in the next match to raise the average to 47? (a) 24 (b) 47 (c) 67 (d) 51
  28. 28.In how many years will ₹10000 earn ₹6000 simple interest at 12% per year? (a) 10 years (b) 6 years (c) 5 years (d) 4 years
  29. 29.If 8x + 10 = 4x + 30, what is x? (a) 6 (b) 10 (c) 5 (d) 7
  30. 30.What is the average of 87, 89, 90, 63, 78 and 61? (a) 78 (b) 79 (c) 77 (d) 80
  31. 31.What is 40% of 980? (a) 784 (b) 392 (c) 3920 (d) 588
  32. 32.Every pair follows the same rule: 3 : 24, 6 : 48, 7 : 56. What is 4 : ? (a) 31 (b) 33 (c) 25 (d) 32
  33. 33.The simple interest on ₹3500 for 2 years is ₹350. What is the rate per year? (a) 5% (b) 6% (c) 10% (d) 4%
  34. 34.Which of these numbers is divisible by 8? (a) 3944 (b) 3949 (c) 3938 (d) 3954
  35. 35.A rectangle is 12 cm long and 11 cm wide. What is its perimeter? (a) 35 cm (b) 46 cm (c) 132 cm (d) 23 cm
  36. 36.If 2x − 1 = 3, what is x? (a) 4 (b) 2 (c) 1 (d) 3
  37. 37.Every pair follows the same rule: 2 : 14, 6 : 42, 8 : 56. What is 3 : ? (a) 21 (b) 20 (c) 22 (d) 15
  38. 38.What is the remainder when 637 is divided by 12? (a) 11 (b) 0 (c) 1 (d) 2
  39. 39.2.22 + 6.4 = ? (a) 8.62 (b) 2.86 (c) 8.52 (d) 8.72
  40. 40.The average of 5 numbers is 48. When one number is taken away, the average of the rest is 45. Which number was taken away? (a) 15 (b) 48 (c) 93 (d) 60

Answer key

  1. 40%
  2. Tuesday
  3. 2 cm
  4. 10
  5. 1
  6. ₹12
  7. 35/24
  8. 12
  9. ₹22
  10. 9/14
  11. 2 cm
  12. 8
  13. 1
  14. 5
  15. 3
  16. 64 sq cm
  17. ₹112
  18. ₹105
  19. 120
  20. 0.008
  21. 35
  22. Tuesday
  23. 2
  24. 5%
  25. 7
  26. 3 cm
  27. 67
  28. 5 years
  29. 5
  30. 78
  31. 392
  32. 32
  33. 5%
  34. 3944
  35. 46 cm
  36. 2
  37. 21
  38. 1
  39. 8.62
  40. 60

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