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Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 91 · 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 7x + 26 = 103, what is x? (a) 77 (b) 12 (c) 11 (d) 10
  2. 2.Two bells ring every 10 minutes and every 35 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 70 min (b) 350 min (c) 45 min (d) 5 min
  3. 3.If 3x + 1 = x + 9, what is x? (a) 2 (b) 4 (c) 5 (d) 6
  4. 4.What is the smallest number you must add to 110 to make it divisible by 6? (a) 4 (b) 3 (c) 5 (d) 2
  5. 5.Every pair follows the same rule: 3 : 27, 6 : 54, 8 : 72. What is 7 : ? (a) 62 (b) 31 (c) 63 (d) 64
  6. 6.What is 75% of 460? (a) 3450 (b) 690 (c) 345 (d) 115
  7. 7.4.62 + 6.9 = ? (a) 5.31 (b) 11.62 (c) 11.42 (d) 11.52
  8. 8.The simple interest on ₹8000 for 3 years is ₹1920. What is the rate per year? (a) 8% (b) 9% (c) 24% (d) 7%
  9. 9.4/8 + 1/3 = ? (a) 5/11 (b) 7/8 (c) 19/24 (d) 5/6
  10. 10.Two ribbons are 72 cm and 81 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 9 cm (b) 72 cm (c) 648 cm (d) 3 cm
  11. 11.If 5x − 29 = 16, what is x? (a) 10 (b) 8 (c) 9 (d) 45
  12. 12.What is the smallest number of sweets that can be shared equally among 12 children or among 16 children, with none left over? (a) 96 (b) 192 (c) 48 (d) 28
  13. 13.A bag marked ₹1060 is sold at a 40% discount. What is its selling price? (a) ₹1020 (b) ₹424 (c) ₹1484 (d) ₹636
  14. 14.What is the average of 56, 58, 52 and 70? (a) 58 (b) 59 (c) 61 (d) 60
  15. 15.If 7x + 6 = 4x + 39, what is x? (a) 3 (b) 15 (c) 12 (d) 11
  16. 16.₹110 is shared between two friends in the ratio 5 : 6. How much is the bigger share? (a) ₹50 (b) ₹10 (c) ₹60 (d) ₹55
  17. 17.What is the smallest number of sweets that can be shared equally among 20 children or among 24 children, with none left over? (a) 44 (b) 240 (c) 480 (d) 120
  18. 18.What is the units digit of 3^42? (a) 1 (b) 7 (c) 9 (d) 3
  19. 19.Which is the greatest: 0.7, 0.72, 0.066, 0.655? (a) 0.7 (b) 0.72 (c) 0.066 (d) 0.655
  20. 20.₹7000 is invested at 11% per year simple interest. What is the amount after 3 years? (a) ₹7770 (b) ₹2310 (c) ₹10080 (d) ₹9310
  21. 21.What is the average of 20, 31, 18, 33, 12 and 24? (a) 24 (b) 23 (c) 22 (d) 25
  22. 22.Two bells ring every 15 minutes and every 21 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 315 min (b) 36 min (c) 105 min (d) 3 min
  23. 23.Which fraction is greater: 7/12 or 8/9? (a) 8/9 (b) 7/12 (c) They are equal
  24. 24.If 8x + 5 = 29, what is x? (a) 2 (b) 3 (c) 24 (d) 4
  25. 25.What is the simple interest on ₹2000 at 4% per year for 4 years? (a) ₹400 (b) ₹2320 (c) ₹80 (d) ₹320
  26. 26.What is the average of 77, 67, 87 and 69? (a) 100 (b) 76 (c) 75 (d) 74
  27. 27.A shopkeeper buys a toy for ₹300 and sells it for ₹375. What is his profit percent? (a) 25% (b) 30% (c) 75% (d) 20%
  28. 28.If x/3 + 3 = 5, what is x? (a) 24 (b) 6 (c) 12 (d) 2
  29. 29.A square has a perimeter of 56 cm. What is its area? (a) 56 sq cm (b) 28 sq cm (c) 196 sq cm (d) 225 sq cm
  30. 30.What is 5% of 860? (a) 86 (b) 430 (c) 43 (d) 817
  31. 31.Every pair follows the same rule: 2 : 8, 6 : 24, 9 : 36. What is 7 : ? (a) 27 (b) 29 (c) 13 (d) 28
  32. 32.Every pair follows the same rule: 2 : 6, 3 : 11, 6 : 26. What is 7 : ? (a) 32 (b) 21 (c) 31 (d) 11
  33. 33.₹5000 is invested at 3% per year simple interest. What is the amount after 5 years? (a) ₹5750 (b) ₹5150 (c) ₹750 (d) ₹5900
  34. 34.The simple interest on ₹1000 for 5 years is ₹100. What is the rate per year? (a) 10% (b) 3% (c) 2% (d) 1%
  35. 35.Two bells ring every 12 minutes and every 28 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 40 min (b) 84 min (c) 336 min (d) 4 min
  36. 36.A square has a perimeter of 32 cm. What is its area? (a) 16 sq cm (b) 32 sq cm (c) 81 sq cm (d) 64 sq cm
  37. 37.3 workers can build a wall in 10 days. How many days will 2 workers take, working at the same speed? (a) 15 days (b) 16 days (c) 9 days (d) 11 days
  38. 38.6.01 + 1.6 = ? (a) 7.51 (b) 6.17 (c) 7.71 (d) 7.61
  39. 39.What is 5/6 of 12? (a) 2 (b) 11 (c) 10 (d) 12
  40. 40.The simple interest on ₹2500 for 3 years is ₹225. What is the rate per year? (a) 3% (b) 9% (c) 4% (d) 2%

Answer key

  1. 11
  2. 70 min
  3. 4
  4. 4
  5. 63
  6. 345
  7. 11.52
  8. 8%
  9. 5/6
  10. 9 cm
  11. 9
  12. 48
  13. ₹636
  14. 59
  15. 11
  16. ₹60
  17. 120
  18. 9
  19. 0.72
  20. ₹9310
  21. 23
  22. 105 min
  23. 8/9
  24. 3
  25. ₹320
  26. 75
  27. 25%
  28. 6
  29. 196 sq cm
  30. 43
  31. 28
  32. 31
  33. ₹5750
  34. 2%
  35. 84 min
  36. 64 sq cm
  37. 15 days
  38. 7.61
  39. 10
  40. 3%

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