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Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 798 · 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.Every pair follows the same rule: 4 : 13, 8 : 17, 9 : 18. What is 6 : ? (a) 17 (b) 16 (c) 14 (d) 15
  2. 2.What is the units digit of 3^19? (a) 3 (b) 7 (c) 1 (d) 9
  3. 3.What is the smallest number of sweets that can be shared equally among 12 children or among 15 children, with none left over? (a) 27 (b) 180 (c) 120 (d) 60
  4. 4.What is the smallest number of sweets that can be shared equally among 15 children or among 35 children, with none left over? (a) 525 (b) 50 (c) 105 (d) 210
  5. 5.A teacher has 16 pencils and 18 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 144 (b) 2 (c) 16 (d) 1
  6. 6.A shopkeeper buys a toy for ₹380 and sells it for ₹228. What is his loss percent? (a) 41% (b) 45% (c) 35% (d) 40%
  7. 7.Which of these numbers is divisible by 11? (a) 5646 (b) 5657 (c) 5643 (d) 5634
  8. 8.Every pair follows the same rule: 3 : 18, 4 : 19, 6 : 21. What is 8 : ? (a) 23 (b) 24 (c) 22 (d) 48
  9. 9.What is the remainder when 229 is divided by 6? (a) 0 (b) 1 (c) 5 (d) 2
  10. 10.Every pair follows the same rule: 4 : 28, 5 : 35, 7 : 49. What is 6 : ? (a) 41 (b) 43 (c) 30 (d) 42
  11. 11.If 3x + 1 = x + 19, what is x? (a) 11 (b) 8 (c) 10 (d) 9
  12. 12.What is 5/6 of 42? (a) 35 (b) 36 (c) 42 (d) 7
  13. 13.The simple interest on ₹8500 for 4 years is ₹2040. What is the rate per year? (a) 5% (b) 24% (c) 7% (d) 6%
  14. 14.What is the smallest number you must add to 354 to make it divisible by 5? (a) 4 (b) 2 (c) 1 (d) 3
  15. 15.In how many years will ₹1000 earn ₹440 simple interest at 11% per year? (a) 3 years (b) 5 years (c) 8 years (d) 4 years
  16. 16.A rectangle is 9 cm long and 2 cm wide. What is its area? (a) 11 sq cm (b) 22 sq cm (c) 27 sq cm (d) 18 sq cm
  17. 17.If 5 notebooks cost ₹85, how much do 2 notebooks cost? (a) ₹170 (b) ₹34 (c) ₹82 (d) ₹51
  18. 18.If 6x − 8 = 16, what is x? (a) 5 (b) 24 (c) 3 (d) 4
  19. 19.Every pair follows the same rule: 1 : 1, 4 : 64, 5 : 125. What is 3 : ? (a) 26 (b) 3 (c) 27 (d) 28
  20. 20.A rectangle is 14 cm long and 12 cm wide. What is its perimeter? (a) 26 cm (b) 40 cm (c) 52 cm (d) 168 cm
  21. 21.If 5x + 19 = x + 23, what is x? (a) 4 (b) 1 (c) 2 (d) 3
  22. 22.Two bells ring every 20 minutes and every 25 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 500 min (b) 5 min (c) 45 min (d) 100 min
  23. 23.₹120 is shared between two friends in the ratio 1 : 2. How much is the bigger share? (a) ₹120 (b) ₹40 (c) ₹80 (d) ₹60
  24. 24.Which fraction is greater: 1/11 or 3/4? (a) 3/4 (b) They are equal (c) 1/11
  25. 25.1/2 + 3/6 = ? (a) 1/2 (b) 7/6 (c) 1 (d) 5/6
  26. 26.A rectangle is 19 cm long and 8 cm wide. What is its perimeter? (a) 46 cm (b) 54 cm (c) 27 cm (d) 152 cm
  27. 27.Two ribbons are 18 cm and 24 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 3 cm (b) 72 cm (c) 6 cm (d) 18 cm
  28. 28.What is 10% of 580? (a) 116 (b) 522 (c) 58 (d) 580
  29. 29.The average of 5 numbers is 25. When one number is taken away, the average of the rest is 22. Which number was taken away? (a) 37 (b) 47 (c) 25 (d) 15
  30. 30.If 3 pens cost ₹27, how much do 8 pens cost? (a) ₹216 (b) ₹32 (c) ₹72 (d) ₹81
  31. 31.If 5x + 1 = x + 21, what is x? (a) 6 (b) 7 (c) 4 (d) 5
  32. 32.What is the value of the digit 4 in 43.169? (a) 4 (b) 0.4 (c) 40 (d) 0.04
  33. 33.Today is Tuesday. What day of the week will it be after 85 days? (a) Thursday (b) Tuesday (c) Friday (d) Wednesday
  34. 34.In how many years will ₹1000 earn ₹60 simple interest at 3% per year? (a) 4 years (b) 3 years (c) 2 years (d) 1 year
  35. 35.Today is Saturday. What day of the week will it be after 96 days? (a) Saturday (b) Thursday (c) Friday (d) Wednesday
  36. 36.What is the simple interest on ₹3500 at 10% per year for 4 years? (a) ₹4900 (b) ₹350 (c) ₹1750 (d) ₹1400
  37. 37.What is the simple interest on ₹1000 at 7% per year for 2 years? (a) ₹1140 (b) ₹210 (c) ₹70 (d) ₹140
  38. 38.A rectangle is 17 cm long and 2 cm wide. What is its area? (a) 38 sq cm (b) 51 sq cm (c) 34 sq cm (d) 19 sq cm
  39. 39.If 13 January is a Tuesday, what day of the week is 27 January? (a) Wednesday (b) Monday (c) Tuesday (d) Thursday
  40. 40.Which is the greatest: 0.057, 0.8, 0.82, 0.715? (a) 0.057 (b) 0.8 (c) 0.82 (d) 0.715

Answer key

  1. 15
  2. 7
  3. 60
  4. 105
  5. 2
  6. 40%
  7. 5643
  8. 23
  9. 1
  10. 42
  11. 9
  12. 35
  13. 6%
  14. 1
  15. 4 years
  16. 18 sq cm
  17. ₹34
  18. 4
  19. 27
  20. 52 cm
  21. 1
  22. 100 min
  23. ₹80
  24. 3/4
  25. 1
  26. 54 cm
  27. 6 cm
  28. 58
  29. 37
  30. ₹72
  31. 5
  32. 40
  33. Wednesday
  34. 2 years
  35. Thursday
  36. ₹1400
  37. ₹140
  38. 34 sq cm
  39. Tuesday
  40. 0.82

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