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Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 127 · 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 ₹380 and sells it for ₹399. What is his profit percent? (a) 19% (b) 6% (c) 5% (d) 10%
  2. 2.6 workers can build a wall in 5 days. How many days will 5 workers take, working at the same speed? (a) 4 days (b) 7 days (c) 6 days (d) 5 days
  3. 3.If x/3 + 9 = 18, what is x? (a) 27 (b) 45 (c) 9 (d) 81
  4. 4.If x/4 + 13 = 24, what is x? (a) 44 (b) 83 (c) 148 (d) 11
  5. 5.If 9x − 44 = 10, what is x? (a) 54 (b) 7 (c) 5 (d) 6
  6. 6.Every pair follows the same rule: 6 : 36, 8 : 64, 9 : 81. What is 4 : ? (a) 34 (b) 16 (c) 17 (d) 24
  7. 7.What is the simple interest on ₹2000 at 9% per year for 5 years? (a) ₹180 (b) ₹900 (c) ₹1080 (d) ₹2900
  8. 8.If 3x + 16 = x + 34, what is x? (a) 25 (b) 10 (c) 9 (d) 11
  9. 9.If x/5 + 3 = 7, what is x? (a) 50 (b) 32 (c) 4 (d) 20
  10. 10.What is 25% of 240? (a) 600 (b) 120 (c) 60 (d) 180
  11. 11.What is the average of 24, 17, 27 and 36? (a) 26 (b) 25 (c) 28 (d) 27
  12. 12.Which fraction is greater: 2/5 or 1/3? (a) 1/3 (b) 2/5 (c) They are equal
  13. 13.What is the value of the digit 9 in 12.693? (a) 0.9 (b) 0.09 (c) 9 (d) 0.009
  14. 14.What is the simple interest on ₹5000 at 4% per year for 5 years? (a) ₹1200 (b) ₹1000 (c) ₹6000 (d) ₹200
  15. 15.In how many years will ₹1000 earn ₹140 simple interest at 7% per year? (a) 2 years (b) 4 years (c) 1 year (d) 3 years
  16. 16.What is 75% of 240? (a) 180 (b) 360 (c) 60 (d) 1800
  17. 17.What is the remainder when 260 is divided by 6? (a) 1 (b) 2 (c) 4 (d) 3
  18. 18.Two bells ring every 12 minutes and every 21 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 33 min (b) 84 min (c) 3 min (d) 252 min
  19. 19.Every pair follows the same rule: 1 : 1, 2 : 8, 5 : 125. What is 4 : ? (a) 4 (b) 64 (c) 86 (d) 65
  20. 20.What is the units digit of 7^30? (a) 1 (b) 9 (c) 7 (d) 3
  21. 21.What is the average of 51, 49, 57, 51, 42 and 32? (a) 49 (b) 46 (c) 47 (d) 48
  22. 22.What is the simple interest on ₹1000 at 2% per year for 5 years? (a) ₹1100 (b) ₹100 (c) ₹20 (d) ₹120
  23. 23.2.69 + 7.2 = ? (a) 9.99 (b) 3.41 (c) 9.79 (d) 9.89
  24. 24.The average of 8 numbers is 50. When one number is taken away, the average of the rest is 52. Which number was taken away? (a) 50 (b) 37 (c) 102 (d) 36
  25. 25.₹6000 is invested at 5% per year simple interest. What is the amount after 3 years? (a) ₹7200 (b) ₹900 (c) ₹6900 (d) ₹6300
  26. 26.What is the average of 26, 38, 38, 30 and 23? (a) 32 (b) 31 (c) 30 (d) 33
  27. 27.What is the average of 59, 64, 82, 56 and 89? (a) 70 (b) 72 (c) 69 (d) 71
  28. 28.Which of these numbers is divisible by 9? (a) 1048 (b) 1054 (c) 1070 (d) 1053
  29. 29.₹130 is shared between two friends in the ratio 4 : 9. How much is the bigger share? (a) ₹10 (b) ₹90 (c) ₹40 (d) ₹65
  30. 30.If 4 pens cost ₹12, how much do 12 pens cost? (a) ₹36 (b) ₹39 (c) ₹20 (d) ₹144
  31. 31.A shopkeeper buys a toy for ₹840 and sells it for ₹1176. What is his profit percent? (a) 40% (b) 35% (c) 45% (d) 41%
  32. 32.3.05 + 3.6 = ? (a) 6.75 (b) 6.55 (c) 3.41 (d) 6.65
  33. 33.2.61 + 5.5 = ? (a) 8.21 (b) 3.16 (c) 8.11 (d) 8.01
  34. 34.A teacher has 10 pencils and 35 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 1 (b) 25 (c) 5 (d) 10
  35. 35.₹2000 is invested at 9% per year simple interest. What is the amount after 2 years? (a) ₹360 (b) ₹2540 (c) ₹2180 (d) ₹2360
  36. 36.What is the smallest number of sweets that can be shared equally among 12 children or among 18 children, with none left over? (a) 36 (b) 72 (c) 30 (d) 216
  37. 37.What is 1/2 of 10? (a) 10 (b) 6 (c) 4 (d) 5
  38. 38.What is 5/6 of 66? (a) 11 (b) 66 (c) 56 (d) 55
  39. 39.3 workers can build a wall in 6 days. How many days will 2 workers take, working at the same speed? (a) 9 days (b) 5 days (c) 7 days (d) 4 days
  40. 40.Every pair follows the same rule: 1 : 1, 2 : 8, 4 : 64. What is 5 : ? (a) 126 (b) 5 (c) 125 (d) 92

Answer key

  1. 5%
  2. 6 days
  3. 27
  4. 44
  5. 6
  6. 16
  7. ₹900
  8. 9
  9. 20
  10. 60
  11. 26
  12. 2/5
  13. 0.09
  14. ₹1000
  15. 2 years
  16. 180
  17. 2
  18. 84 min
  19. 64
  20. 9
  21. 47
  22. ₹100
  23. 9.89
  24. 36
  25. ₹6900
  26. 31
  27. 70
  28. 1053
  29. ₹90
  30. ₹36
  31. 40%
  32. 6.65
  33. 8.11
  34. 5
  35. ₹2360
  36. 36
  37. 5
  38. 55
  39. 9 days
  40. 125

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