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Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 420 · 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.₹245 is shared between two friends in the ratio 1 : 4. How much is the bigger share? (a) ₹49 (b) ₹196 (c) ₹197 (d) ₹245
  2. 2.A rectangle is 10 cm long and 5 cm wide. What is its area? (a) 50 sq cm (b) 15 sq cm (c) 60 sq cm (d) 30 sq cm
  3. 3.Every pair follows the same rule: 2 : 21, 5 : 24, 9 : 28. What is 6 : ? (a) 24 (b) 27 (c) 25 (d) 26
  4. 4.In how many years will ₹6500 earn ₹260 simple interest at 2% per year? (a) 1 year (b) 3 years (c) 2 years (d) 4 years
  5. 5.If 5x − 25 = 35, what is x? (a) 2 (b) 13 (c) 12 (d) 60
  6. 6.₹6500 is invested at 3% per year simple interest. What is the amount after 4 years? (a) ₹6695 (b) ₹7475 (c) ₹7280 (d) ₹780
  7. 7.What is the smallest number of sweets that can be shared equally among 12 children or among 20 children, with none left over? (a) 120 (b) 32 (c) 240 (d) 60
  8. 8.3/4 + 2/3 = ? (a) 3/2 (b) 17/12 (c) 5/7 (d) 4/3
  9. 9.A batter has an average of 57 runs in 9 matches. How many runs are needed in the next match to raise the average to 61? (a) 61 (b) 40 (c) 97 (d) 65
  10. 10.If x/3 + 13 = 16, what is x? (a) 9 (b) 3 (c) 35 (d) 87
  11. 11.Which is the smallest: 0.45, 0.364, 0.4, 0.038? (a) 0.45 (b) 0.364 (c) 0.4 (d) 0.038
  12. 12.A rectangle is 8 cm long and 2 cm wide. What is its area? (a) 10 sq cm (b) 20 sq cm (c) 16 sq cm (d) 24 sq cm
  13. 13.If 12 May is a Wednesday, what day of the week is 6 June? (a) Tuesday (b) Saturday (c) Sunday (d) Monday
  14. 14.The simple interest on ₹6500 for 4 years is ₹780. What is the rate per year? (a) 3% (b) 2% (c) 12% (d) 4%
  15. 15.Which fraction is greater: 2/3 or 4/5? (a) They are equal (b) 4/5 (c) 2/3
  16. 16.What is 1/5 of 20? (a) 5 (b) 16 (c) 4 (d) 8
  17. 17.If 2 pens cost ₹8, how much do 4 pens cost? (a) ₹32 (b) ₹16 (c) ₹20 (d) ₹10
  18. 18.What is the smallest number of sweets that can be shared equally among 4 children or among 6 children, with none left over? (a) 10 (b) 24 (c) 12 (d) 13
  19. 19.Two bells ring every 4 minutes and every 10 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 40 min (b) 2 min (c) 14 min (d) 20 min
  20. 20.What is 1/9 of 72? (a) 16 (b) 64 (c) 8 (d) 9
  21. 21.The average of 7 numbers is 12. When one number is taken away, the average of the rest is 11. Which number was taken away? (a) 18 (b) 23 (c) 7 (d) 12
  22. 22.Two ribbons are 21 cm and 27 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) 1 cm (c) 21 cm (d) 3 cm
  23. 23.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
  24. 24.Which fraction is greater: 1/3 or 3/10? (a) 3/10 (b) 1/3 (c) They are equal
  25. 25.A teacher has 22 pencils and 33 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 66 (b) 11 (c) 1 (d) 22
  26. 26.What is the smallest number of sweets that can be shared equally among 6 children or among 14 children, with none left over? (a) 42 (b) 43 (c) 20 (d) 84
  27. 27.What is the smallest number you must add to 312 to make it divisible by 10? (a) 8 (b) 2 (c) 7 (d) 9
  28. 28.What is the units digit of 3^31? (a) 3 (b) 7 (c) 9 (d) 1
  29. 29.If 2x − 5 = 1, what is x? (a) 6 (b) 3 (c) 4 (d) 2
  30. 30.2/3 + 3/7 = ? (a) 1/2 (b) 22/21 (c) 8/7 (d) 23/21
  31. 31.If 5 notebooks cost ₹105, how much do 12 notebooks cost? (a) ₹1260 (b) ₹112 (c) ₹252 (d) ₹273
  32. 32.Every pair follows the same rule: 2 : 2, 4 : 14, 5 : 23. What is 7 : ? (a) 47 (b) 7 (c) 41 (d) 48
  33. 33.A rectangle is 20 cm long and 5 cm wide. What is its perimeter? (a) 25 cm (b) 45 cm (c) 50 cm (d) 100 cm
  34. 34.The simple interest on ₹1500 for 2 years is ₹150. What is the rate per year? (a) 6% (b) 4% (c) 5% (d) 10%
  35. 35.In how many years will ₹1000 earn ₹200 simple interest at 10% per year? (a) 4 years (b) 2 years (c) 3 years (d) 1 year
  36. 36.What is the remainder when 211 is divided by 3? (a) 1 (b) 0 (c) 2
  37. 37.What is the value of the digit 4 in 86.754? (a) 0.4 (b) 0.04 (c) 0.004 (d) 4
  38. 38.What is the smallest number you must add to 356 to make it divisible by 12? (a) 4 (b) 3 (c) 5 (d) 8
  39. 39.Which is the greatest: 0.5, 0.53, 0.493, 0.012? (a) 0.5 (b) 0.53 (c) 0.493 (d) 0.012
  40. 40.₹120 is shared between two friends in the ratio 1 : 9. How much is the bigger share? (a) ₹12 (b) ₹60 (c) ₹120 (d) ₹108

Answer key

  1. ₹196
  2. 50 sq cm
  3. 25
  4. 2 years
  5. 12
  6. ₹7280
  7. 60
  8. 17/12
  9. 97
  10. 9
  11. 0.038
  12. 16 sq cm
  13. Sunday
  14. 3%
  15. 4/5
  16. 4
  17. ₹16
  18. 12
  19. 20 min
  20. 8
  21. 18
  22. 3 cm
  23. 24 min
  24. 1/3
  25. 11
  26. 42
  27. 8
  28. 7
  29. 3
  30. 23/21
  31. ₹252
  32. 47
  33. 50 cm
  34. 5%
  35. 2 years
  36. 1
  37. 0.004
  38. 4
  39. 0.53
  40. ₹108

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