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Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 194 · 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.The average of 5 numbers is 38. When one number is taken away, the average of the rest is 39. Which number was taken away? (a) 34 (b) 35 (c) 77 (d) 38
  2. 2.₹1000 is invested at 4% per year simple interest. What is the amount after 5 years? (a) ₹1240 (b) ₹1040 (c) ₹1200 (d) ₹200
  3. 3.A bag marked ₹880 is sold at a 15% discount. What is its selling price? (a) ₹132 (b) ₹748 (c) ₹865 (d) ₹1012
  4. 4.What is the value of the digit 5 in 51.926? (a) 0.5 (b) 50 (c) 5 (d) 0.05
  5. 5.A shopkeeper buys a toy for ₹700 and sells it for ₹665. What is his loss percent? (a) 35% (b) 10% (c) 6% (d) 5%
  6. 6.Which is the greatest: 0.116, 0.23, 0.053, 0.2? (a) 0.116 (b) 0.23 (c) 0.053 (d) 0.2
  7. 7.What is the smallest number of sweets that can be shared equally among 18 children or among 42 children, with none left over? (a) 60 (b) 126 (c) 756 (d) 252
  8. 8.If 12 August is a Friday, what day of the week is 20 August? (a) Friday (b) Sunday (c) Monday (d) Saturday
  9. 9.In how many years will ₹7500 earn ₹1125 simple interest at 5% per year? (a) 6 years (b) 2 years (c) 4 years (d) 3 years
  10. 10.1.31 + 1.7 = ? (a) 2.91 (b) 3.01 (c) 3.11 (d) 1.48
  11. 11.If 2x − 2 = 22, what is x? (a) 24 (b) 10 (c) 13 (d) 12
  12. 12.Every pair follows the same rule: 7 : 21, 8 : 24, 9 : 27. What is 5 : ? (a) 19 (b) 15 (c) 16 (d) 14
  13. 13.Today is Friday. What day of the week will it be after 34 days? (a) Friday (b) Thursday (c) Saturday (d) Wednesday
  14. 14.If 5 notebooks cost ₹40, how much do 2 notebooks cost? (a) ₹37 (b) ₹24 (c) ₹16 (d) ₹80
  15. 15.If 3 May is a Friday, what day of the week is 16 May? (a) Friday (b) Wednesday (c) Saturday (d) Thursday
  16. 16.If 6x + 16 = x + 21, what is x? (a) 4 (b) 3 (c) 1 (d) 2
  17. 17.What is the simple interest on ₹7000 at 12% per year for 5 years? (a) ₹11200 (b) ₹4200 (c) ₹840 (d) ₹5040
  18. 18.₹1500 is invested at 5% per year simple interest. What is the amount after 3 years? (a) ₹225 (b) ₹1575 (c) ₹1800 (d) ₹1725
  19. 19.A teacher has 24 pencils and 40 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 8 (b) 16 (c) 24 (d) 4
  20. 20.The average of 4 numbers is 46. When one number is taken away, the average of the rest is 42. Which number was taken away? (a) 46 (b) 16 (c) 88 (d) 58
  21. 21.What is the remainder when 178 is divided by 7? (a) 5 (b) 2 (c) 3 (d) 4
  22. 22.Today is Sunday. What day of the week will it be after 45 days? (a) Thursday (b) Wednesday (c) Tuesday (d) Friday
  23. 23.4 workers can build a wall in 11 days. How many days will 2 workers take, working at the same speed? (a) 9 days (b) 13 days (c) 22 days (d) 23 days
  24. 24.Which is the smallest: 0.365, 0.44, 0.4, 0.012? (a) 0.365 (b) 0.44 (c) 0.4 (d) 0.012
  25. 25.If x/2 + 7 = 11, what is x? (a) 4 (b) 36 (c) 8 (d) 15
  26. 26.Every pair follows the same rule: 5 : 15, 6 : 19, 8 : 27. What is 9 : ? (a) 32 (b) 19 (c) 31 (d) 27
  27. 27.Which fraction is greater: 4/5 or 5/8? (a) 4/5 (b) They are equal (c) 5/8
  28. 28.Which is the greatest: 0.083, 0.3, 0.31, 0.281? (a) 0.083 (b) 0.3 (c) 0.31 (d) 0.281
  29. 29.Which of these numbers is divisible by 9? (a) 5445 (b) 5452 (c) 5457 (d) 5440
  30. 30.Every pair follows the same rule: 2 : 4, 3 : 9, 8 : 64. What is 5 : ? (a) 31 (b) 10 (c) 25 (d) 7
  31. 31.Every pair follows the same rule: 2 : 10, 4 : 12, 5 : 13. What is 7 : ? (a) 16 (b) 14 (c) 35 (d) 15
  32. 32.A batter has an average of 25 runs in 3 matches. How many runs are needed in the next match to raise the average to 29? (a) 29 (b) 41 (c) 16 (d) 33
  33. 33.If x/2 + 8 = 12, what is x? (a) 40 (b) 16 (c) 8 (d) 4
  34. 34.In how many years will ₹2500 earn ₹1375 simple interest at 11% per year? (a) 5 years (b) 6 years (c) 4 years (d) 10 years
  35. 35.Every pair follows the same rule: 4 : 8, 8 : 16, 9 : 18. What is 6 : ? (a) 12 (b) 13 (c) 10 (d) 11
  36. 36.What is 5/7 of 14? (a) 4 (b) 2 (c) 10 (d) 12
  37. 37.If 8x + 29 = 101, what is x? (a) 10 (b) 8 (c) 72 (d) 9
  38. 38.What is 15% of 640? (a) 96 (b) 192 (c) 544 (d) 960
  39. 39.₹8000 is invested at 8% per year simple interest. What is the amount after 4 years? (a) ₹11200 (b) ₹10560 (c) ₹8640 (d) ₹2560
  40. 40.What is the simple interest on ₹7000 at 4% per year for 4 years? (a) ₹1400 (b) ₹8120 (c) ₹280 (d) ₹1120

Answer key

  1. 34
  2. ₹1200
  3. ₹748
  4. 50
  5. 5%
  6. 0.23
  7. 126
  8. Saturday
  9. 3 years
  10. 3.01
  11. 12
  12. 15
  13. Thursday
  14. ₹16
  15. Thursday
  16. 1
  17. ₹4200
  18. ₹1725
  19. 8
  20. 58
  21. 3
  22. Wednesday
  23. 22 days
  24. 0.012
  25. 8
  26. 31
  27. 4/5
  28. 0.31
  29. 5445
  30. 25
  31. 15
  32. 41
  33. 8
  34. 5 years
  35. 12
  36. 10
  37. 9
  38. 96
  39. ₹10560
  40. ₹1120

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