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Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 543 · 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.If 2x + 22 = 26, what is x? (a) 24 (b) 4 (c) 2 (d) 3
  2. 2.Every pair follows the same rule: 5 : 25, 6 : 29, 8 : 37. What is 4 : ? (a) 22 (b) 24 (c) 21 (d) 20
  3. 3.Every pair follows the same rule: 2 : 2, 5 : 23, 6 : 34. What is 3 : ? (a) 8 (b) 1 (c) 3 (d) 7
  4. 4.The simple interest on ₹8500 for 2 years is ₹1360. What is the rate per year? (a) 7% (b) 8% (c) 16% (d) 9%
  5. 5.What is the simple interest on ₹5000 at 7% per year for 3 years? (a) ₹1400 (b) ₹1050 (c) ₹6050 (d) ₹350
  6. 6.₹9000 is invested at 5% per year simple interest. What is the amount after 4 years? (a) ₹9450 (b) ₹11250 (c) ₹1800 (d) ₹10800
  7. 7.If 8x − 23 = 97, what is x? (a) 120 (b) 16 (c) 15 (d) 14
  8. 8.If x/2 + 11 = 16, what is x? (a) 10 (b) 5 (c) 54 (d) 21
  9. 9.Every pair follows the same rule: 4 : 15, 6 : 35, 8 : 63. What is 7 : ? (a) 18 (b) 48 (c) 49 (d) 47
  10. 10.6.84 + 2.3 = ? (a) 9.04 (b) 9.24 (c) 9.14 (d) 7.07
  11. 11.4.11 + 7.6 = ? (a) 11.71 (b) 11.81 (c) 4.87 (d) 11.61
  12. 12.A rectangle has an area of 132 sq cm and a length of 12 cm. What is its width? (a) 22 cm (b) 12 cm (c) 120 cm (d) 11 cm
  13. 13.2.84 + 3.5 = ? (a) 3.19 (b) 6.24 (c) 6.34 (d) 6.44
  14. 14.3 workers can build a wall in 14 days. How many days will 2 workers take, working at the same speed? (a) 15 days (b) 21 days (c) 13 days (d) 22 days
  15. 15.What is the smallest number of sweets that can be shared equally among 9 children or among 15 children, with none left over? (a) 90 (b) 135 (c) 24 (d) 45
  16. 16.A teacher has 8 pencils and 28 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 20 (b) 8 (c) 4 (d) 2
  17. 17.If 2 notebooks cost ₹28, how much do 3 notebooks cost? (a) ₹56 (b) ₹42 (c) ₹29 (d) ₹84
  18. 18.What is the average of all the whole numbers from 30 to 44? (a) 7 (b) 37 (c) 38 (d) 14
  19. 19.What is the value of the digit 5 in 83.615? (a) 0.5 (b) 0.05 (c) 0.005 (d) 5
  20. 20.What is 3/8 of 96? (a) 12 (b) 48 (c) 60 (d) 36
  21. 21.Which of these numbers is divisible by 4? (a) 339 (b) 340 (c) 342 (d) 345
  22. 22.What is the average of all the whole numbers from 31 to 41? (a) 5 (b) 37 (c) 10 (d) 36
  23. 23.What is the remainder when 334 is divided by 7? (a) 5 (b) 6 (c) 4 (d) 2
  24. 24.Every pair follows the same rule: 4 : 18, 7 : 51, 8 : 66. What is 9 : ? (a) 83 (b) 84 (c) 23 (d) 81
  25. 25.What is the remainder when 522 is divided by 8? (a) 3 (b) 1 (c) 6 (d) 2
  26. 26.2/7 + 2/3 = ? (a) 2/5 (b) 1 (c) 20/21 (d) 19/21
  27. 27.If 8x + 5 = x + 68, what is x? (a) 10 (b) 9 (c) 7 (d) 11
  28. 28.If 7 kites cost ₹63, how much do 4 kites cost? (a) ₹252 (b) ₹45 (c) ₹36 (d) ₹60
  29. 29.What is 75% of 900? (a) 6750 (b) 1350 (c) 225 (d) 675
  30. 30.Which of these numbers is divisible by 4? (a) 3541 (b) 3537 (c) 3547 (d) 3540
  31. 31.In how many years will ₹7000 earn ₹840 simple interest at 4% per year? (a) 2 years (b) 6 years (c) 4 years (d) 3 years
  32. 32.₹204 is shared between two friends in the ratio 5 : 7. How much is the bigger share? (a) ₹17 (b) ₹85 (c) ₹102 (d) ₹119
  33. 33.If 9x − 34 = 38, what is x? (a) 7 (b) 9 (c) 8 (d) 72
  34. 34.A shopkeeper buys a toy for ₹620 and sells it for ₹682. What is his profit percent? (a) 10% (b) 5% (c) 15% (d) 62%
  35. 35.Every pair follows the same rule: 2 : 8, 4 : 64, 6 : 216. What is 5 : ? (a) 125 (b) 11 (c) 140 (d) 20
  36. 36.1/2 + 2/8 = ? (a) 3/4 (b) 3/10 (c) 7/8 (d) 5/8
  37. 37.Every pair follows the same rule: 2 : 8, 3 : 27, 4 : 64. What is 5 : ? (a) 20 (b) 125 (c) 101 (d) 11
  38. 38.Two ribbons are 4 cm and 18 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 1 cm (b) 4 cm (c) 14 cm (d) 2 cm
  39. 39.Every pair follows the same rule: 2 : 4, 3 : 9, 8 : 64. What is 5 : ? (a) 7 (b) 25 (c) 10 (d) 31
  40. 40.In how many years will ₹6500 earn ₹1560 simple interest at 6% per year? (a) 3 years (b) 8 years (c) 4 years (d) 5 years

Answer key

  1. 2
  2. 21
  3. 7
  4. 8%
  5. ₹1050
  6. ₹10800
  7. 15
  8. 10
  9. 48
  10. 9.14
  11. 11.71
  12. 11 cm
  13. 6.34
  14. 21 days
  15. 45
  16. 4
  17. ₹42
  18. 37
  19. 0.005
  20. 36
  21. 340
  22. 36
  23. 5
  24. 83
  25. 2
  26. 20/21
  27. 9
  28. ₹36
  29. 675
  30. 3540
  31. 3 years
  32. ₹119
  33. 8
  34. 10%
  35. 125
  36. 3/4
  37. 125
  38. 2 cm
  39. 25
  40. 4 years

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