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Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 114 · 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 x/6 + 14 = 21, what is x? (a) 210 (b) 42 (c) 112 (d) 7
  2. 2.What is the units digit of 3^41? (a) 1 (b) 9 (c) 3 (d) 7
  3. 3.A shopkeeper buys a toy for ₹540 and sells it for ₹594. What is his profit percent? (a) 10% (b) 15% (c) 5% (d) 54%
  4. 4.A teacher has 18 pencils and 48 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 3 (b) 6 (c) 30 (d) 18
  5. 5.A shopkeeper buys a toy for ₹240 and sells it for ₹276. What is his profit percent? (a) 36% (b) 20% (c) 15% (d) 10%
  6. 6.A batter has an average of 49 runs in 4 matches. How many runs are needed in the next match to raise the average to 54? (a) 59 (b) 54 (c) 74 (d) 25
  7. 7.Every pair follows the same rule: 2 : 1, 4 : 13, 8 : 61. What is 9 : ? (a) 79 (b) 77 (c) 78 (d) 73
  8. 8.What is the simple interest on ₹4000 at 4% per year for 2 years? (a) ₹160 (b) ₹4320 (c) ₹480 (d) ₹320
  9. 9.A teacher has 9 pencils and 12 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 3 (b) 36 (c) 9 (d) 1
  10. 10.8.61 + 9.1 = ? (a) 17.71 (b) 9.52 (c) 17.81 (d) 17.61
  11. 11.What is the remainder when 458 is divided by 7? (a) 2 (b) 4 (c) 5 (d) 3
  12. 12.A square has a perimeter of 40 cm. What is its area? (a) 40 sq cm (b) 100 sq cm (c) 20 sq cm (d) 121 sq cm
  13. 13.If 3x − 12 = 12, what is x? (a) 9 (b) 24 (c) 8 (d) 7
  14. 14.Which is the smallest: 0.259, 0.023, 0.3, 0.34? (a) 0.259 (b) 0.023 (c) 0.3 (d) 0.34
  15. 15.₹1000 is invested at 9% per year simple interest. What is the amount after 5 years? (a) ₹450 (b) ₹1540 (c) ₹1450 (d) ₹1090
  16. 16.What is the units digit of 9^22? (a) 2 (b) 0 (c) 1 (d) 9
  17. 17.Which fraction is greater: 1/9 or 3/11? (a) 1/9 (b) They are equal (c) 3/11
  18. 18.If 13 December is a Friday, what day of the week is 26 December? (a) Friday (b) Wednesday (c) Thursday (d) Saturday
  19. 19.A shopkeeper buys a toy for ₹820 and sells it for ₹1230. What is his profit percent? (a) 51% (b) 45% (c) 50% (d) 55%
  20. 20.What is the average of 51, 53, 68, 62 and 66? (a) 60 (b) 61 (c) 75 (d) 59
  21. 21.What is the simple interest on ₹2500 at 12% per year for 4 years? (a) ₹3700 (b) ₹1500 (c) ₹300 (d) ₹1200
  22. 22.What is the remainder when 242 is divided by 5? (a) 4 (b) 2 (c) 3 (d) 1
  23. 23.₹117 is shared between two friends in the ratio 1 : 8. How much is the bigger share? (a) ₹105 (b) ₹104 (c) ₹13 (d) ₹117
  24. 24.9 workers can build a wall in 9 days. How many days will 3 workers take, working at the same speed? (a) 28 days (b) 27 days (c) 15 days (d) 3 days
  25. 25.A bag marked ₹1040 is sold at a 15% discount. What is its selling price? (a) ₹884 (b) ₹1196 (c) ₹1025 (d) ₹156
  26. 26.Every pair follows the same rule: 3 : 8, 4 : 11, 9 : 26. What is 6 : ? (a) 17 (b) 16 (c) 11 (d) 18
  27. 27.4.82 + 4.1 = ? (a) 9.02 (b) 8.82 (c) 5.23 (d) 8.92
  28. 28.Which is the smallest: 0.7, 0.071, 0.678, 0.76? (a) 0.7 (b) 0.071 (c) 0.678 (d) 0.76
  29. 29.3 workers can build a wall in 14 days. How many days will 2 workers take, working at the same speed? (a) 15 days (b) 22 days (c) 21 days (d) 13 days
  30. 30.A rectangle is 13 cm long and 3 cm wide. What is its area? (a) 16 sq cm (b) 32 sq cm (c) 39 sq cm (d) 52 sq cm
  31. 31.What is the average of 49, 40, 30 and 29? (a) 38 (b) 36 (c) 39 (d) 37
  32. 32.What is the smallest number you must add to 744 to make it divisible by 10? (a) 4 (b) 6 (c) 7 (d) 5
  33. 33.Two ribbons are 20 cm and 45 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) 20 cm (c) 5 cm (d) 25 cm
  34. 34.A rectangle is 16 cm long and 10 cm wide. What is its area? (a) 160 sq cm (b) 176 sq cm (c) 52 sq cm (d) 26 sq cm
  35. 35.A teacher has 60 pencils and 108 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 6 (b) 12 (c) 60 (d) 48
  36. 36.Every pair follows the same rule: 1 : 1, 5 : 125, 6 : 216. What is 3 : ? (a) 3 (b) 26 (c) 27 (d) 28
  37. 37.A batter has an average of 51 runs in 3 matches. How many runs are needed in the next match to raise the average to 59? (a) 83 (b) 59 (c) 67 (d) 32
  38. 38.Two bells ring every 9 minutes and every 21 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 189 min (b) 30 min (c) 63 min (d) 3 min
  39. 39.What is the units digit of 4^58? (a) 7 (b) 4 (c) 5 (d) 6
  40. 40.In how many years will ₹3000 earn ₹660 simple interest at 11% per year? (a) 2 years (b) 3 years (c) 1 year (d) 4 years

Answer key

  1. 42
  2. 3
  3. 10%
  4. 6
  5. 15%
  6. 74
  7. 78
  8. ₹320
  9. 3
  10. 17.71
  11. 3
  12. 100 sq cm
  13. 8
  14. 0.023
  15. ₹1450
  16. 1
  17. 3/11
  18. Thursday
  19. 50%
  20. 60
  21. ₹1200
  22. 2
  23. ₹104
  24. 27 days
  25. ₹884
  26. 17
  27. 8.92
  28. 0.071
  29. 21 days
  30. 39 sq cm
  31. 37
  32. 6
  33. 5 cm
  34. 160 sq cm
  35. 12
  36. 27
  37. 83
  38. 63 min
  39. 6
  40. 2 years

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