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Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 612 · 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.What is 5% of 160? (a) 152 (b) 80 (c) 8 (d) 16
  2. 2.What is the average of all the whole numbers from 12 to 32? (a) 22 (b) 23 (c) 20 (d) 10
  3. 3.In how many years will ₹2500 earn ₹600 simple interest at 12% per year? (a) 1 year (b) 2 years (c) 4 years (d) 3 years
  4. 4.Every pair follows the same rule: 3 : 4, 4 : 7, 6 : 13. What is 9 : ? (a) 22 (b) 23 (c) 21 (d) 10
  5. 5.A teacher has 12 pencils and 21 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 12 (b) 3 (c) 9 (d) 1
  6. 6.A rectangle has an area of 14 sq cm and a length of 7 cm. What is its width? (a) 3 cm (b) 4 cm (c) 2 cm (d) 7 cm
  7. 7.Every pair follows the same rule: 2 : 2, 3 : 7, 7 : 47. What is 4 : ? (a) 14 (b) 17 (c) 4 (d) 15
  8. 8.What is the simple interest on ₹9000 at 3% per year for 4 years? (a) ₹270 (b) ₹1350 (c) ₹10080 (d) ₹1080
  9. 9.If 4 notebooks cost ₹68, how much do 2 notebooks cost? (a) ₹51 (b) ₹66 (c) ₹136 (d) ₹34
  10. 10.What is the simple interest on ₹2500 at 3% per year for 3 years? (a) ₹225 (b) ₹75 (c) ₹2725 (d) ₹300
  11. 11.If 5x + 14 = 3x + 30, what is x? (a) 8 (b) 9 (c) 22 (d) 2
  12. 12.Every pair follows the same rule: 4 : 20, 6 : 30, 8 : 40. What is 9 : ? (a) 46 (b) 45 (c) 44 (d) 25
  13. 13.If 11 May is a Tuesday, what day of the week is 27 May? (a) Wednesday (b) Saturday (c) Friday (d) Thursday
  14. 14.Two bells ring every 8 minutes and every 28 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 36 min (b) 4 min (c) 56 min (d) 224 min
  15. 15.Today is Friday. What day of the week will it be after 31 days? (a) Monday (b) Sunday (c) Wednesday (d) Tuesday
  16. 16.Every pair follows the same rule: 2 : 4, 4 : 16, 5 : 25. What is 9 : ? (a) 81 (b) 11 (c) 61 (d) 18
  17. 17.Which of these numbers is divisible by 9? (a) 4220 (b) 4208 (c) 4203 (d) 4201
  18. 18.Which fraction is greater: 2/5 or 3/11? (a) They are equal (b) 2/5 (c) 3/11
  19. 19.A shopkeeper buys a toy for ₹940 and sells it for ₹1222. What is his profit percent? (a) 35% (b) 25% (c) 31% (d) 30%
  20. 20.What is the remainder when 177 is divided by 11? (a) 2 (b) 0 (c) 1 (d) 10
  21. 21.If 2x + 9 = 17, what is x? (a) 4 (b) 5 (c) 13 (d) 8
  22. 22.If 25 April is a Thursday, what day of the week is 10 May? (a) Saturday (b) Sunday (c) Friday (d) Thursday
  23. 23.Every pair follows the same rule: 5 : 45, 8 : 72, 9 : 81. What is 4 : ? (a) 44 (b) 36 (c) 37 (d) 35
  24. 24.In how many years will ₹5500 earn ₹1980 simple interest at 12% per year? (a) 2 years (b) 6 years (c) 4 years (d) 3 years
  25. 25.A square has a perimeter of 56 cm. What is its area? (a) 28 sq cm (b) 56 sq cm (c) 225 sq cm (d) 196 sq cm
  26. 26.Two bells ring every 12 minutes and every 42 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 54 min (b) 504 min (c) 84 min (d) 6 min
  27. 27.A rectangle is 10 cm long and 6 cm wide. What is its perimeter? (a) 60 cm (b) 16 cm (c) 32 cm (d) 26 cm
  28. 28.3/4 + 1/2 = ? (a) 3/2 (b) 5/4 (c) 1 (d) 2/3
  29. 29.Every pair follows the same rule: 1 : 1, 3 : 27, 5 : 125. What is 4 : ? (a) 4 (b) 64 (c) 76 (d) 65
  30. 30.Which fraction is greater: 1/4 or 4/5? (a) They are equal (b) 1/4 (c) 4/5
  31. 31.If 3x + 15 = 2x + 24, what is x? (a) 9 (b) 11 (c) 10 (d) 39
  32. 32.If 2x + 23 = 47, what is x? (a) 35 (b) 13 (c) 24 (d) 12
  33. 33.Which of these numbers is divisible by 4? (a) 3195 (b) 3197 (c) 3201 (d) 3196
  34. 34.₹120 is shared between two friends in the ratio 1 : 5. How much is the bigger share? (a) ₹60 (b) ₹100 (c) ₹20 (d) ₹120
  35. 35.If 9 pens cost ₹126, how much do 7 pens cost? (a) ₹124 (b) ₹112 (c) ₹98 (d) ₹882
  36. 36.The average of 4 numbers is 45. When one number is taken away, the average of the rest is 41. Which number was taken away? (a) 86 (b) 45 (c) 57 (d) 16
  37. 37.Which fraction is greater: 5/6 or 1/3? (a) They are equal (b) 1/3 (c) 5/6
  38. 38.What is the average of all the whole numbers from 26 to 34? (a) 30 (b) 8 (c) 31 (d) 4
  39. 39.Which is the greatest: 0.7, 0.73, 0.011, 0.659? (a) 0.7 (b) 0.73 (c) 0.011 (d) 0.659
  40. 40.If 3x + 19 = 2x + 20, what is x? (a) 39 (b) 1 (c) 2 (d) 3

Answer key

  1. 8
  2. 22
  3. 2 years
  4. 22
  5. 3
  6. 2 cm
  7. 14
  8. ₹1080
  9. ₹34
  10. ₹225
  11. 8
  12. 45
  13. Thursday
  14. 56 min
  15. Monday
  16. 81
  17. 4203
  18. 2/5
  19. 30%
  20. 1
  21. 4
  22. Friday
  23. 36
  24. 3 years
  25. 196 sq cm
  26. 84 min
  27. 32 cm
  28. 5/4
  29. 64
  30. 4/5
  31. 9
  32. 12
  33. 3196
  34. ₹100
  35. ₹98
  36. 57
  37. 5/6
  38. 30
  39. 0.73
  40. 1

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