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Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 252 · 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 14 May is a Wednesday, what day of the week is 16 June? (a) Tuesday (b) Monday (c) Wednesday (d) Sunday
  2. 2.What is the units digit of 7^25? (a) 3 (b) 1 (c) 7 (d) 9
  3. 3.₹5500 is invested at 11% per year simple interest. What is the amount after 2 years? (a) ₹6710 (b) ₹6105 (c) ₹7315 (d) ₹1210
  4. 4.Which fraction is greater: 7/9 or 4/5? (a) They are equal (b) 4/5 (c) 7/9
  5. 5.2/7 + 1/2 = ? (a) 1/3 (b) 5/7 (c) 11/14 (d) 6/7
  6. 6.Which is the greatest: 0.696, 0.72, 0.7, 0.083? (a) 0.696 (b) 0.72 (c) 0.7 (d) 0.083
  7. 7.If 9x + 17 = 62, what is x? (a) 5 (b) 45 (c) 6 (d) 4
  8. 8.A teacher has 15 pencils and 40 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 5 (b) 25 (c) 1 (d) 15
  9. 9.A square has a perimeter of 32 cm. What is its area? (a) 64 sq cm (b) 81 sq cm (c) 32 sq cm (d) 16 sq cm
  10. 10.₹8500 is invested at 9% per year simple interest. What is the amount after 2 years? (a) ₹1530 (b) ₹10030 (c) ₹10795 (d) ₹9265
  11. 11.A rectangle is 8 cm long and 2 cm wide. What is its area? (a) 10 sq cm (b) 16 sq cm (c) 24 sq cm (d) 20 sq cm
  12. 12.What is the smallest number you must add to 634 to make it divisible by 12? (a) 3 (b) 1 (c) 2 (d) 10
  13. 13.What is the value of the digit 8 in 28.635? (a) 0.8 (b) 0.08 (c) 8 (d) 80
  14. 14.If x/6 + 1 = 13, what is x? (a) 84 (b) 72 (c) 77 (d) 12
  15. 15.Today is Wednesday. What day of the week will it be after 48 days? (a) Tuesday (b) Thursday (c) Monday (d) Wednesday
  16. 16.Two bells ring every 6 minutes and every 21 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 3 min (b) 42 min (c) 126 min (d) 27 min
  17. 17.Which fraction is greater: 7/8 or 5/7? (a) 7/8 (b) 5/7 (c) They are equal
  18. 18.A bag marked ₹240 is sold at a 20% discount. What is its selling price? (a) ₹288 (b) ₹220 (c) ₹192 (d) ₹48
  19. 19.A bag marked ₹1800 is sold at a 40% discount. What is its selling price? (a) ₹2520 (b) ₹720 (c) ₹1080 (d) ₹1760
  20. 20.What is the average of 37, 10, 27 and 14? (a) 23 (b) 22 (c) 21 (d) 24
  21. 21.4.42 + 7.1 = ? (a) 11.42 (b) 5.13 (c) 11.62 (d) 11.52
  22. 22.Which of these numbers is divisible by 9? (a) 5386 (b) 5374 (c) 5373 (d) 5372
  23. 23.A batter has an average of 31 runs in 8 matches. How many runs are needed in the next match to raise the average to 36? (a) 36 (b) 76 (c) 45 (d) 41
  24. 24.What is 30% of 380? (a) 1140 (b) 266 (c) 114 (d) 228
  25. 25.What is the smallest number you must add to 446 to make it divisible by 8? (a) 3 (b) 6 (c) 1 (d) 2
  26. 26.Today is Sunday. What day of the week will it be after 15 days? (a) Monday (b) Tuesday (c) Sunday (d) Wednesday
  27. 27.What is 20% of 40? (a) 80 (b) 16 (c) 32 (d) 8
  28. 28.If 11 September is a Sunday, what day of the week is 1 October? (a) Friday (b) Sunday (c) Saturday (d) Monday
  29. 29.What is the smallest number you must add to 117 to make it divisible by 6? (a) 5 (b) 2 (c) 3 (d) 4
  30. 30.What is the simple interest on ₹4000 at 12% per year for 2 years? (a) ₹480 (b) ₹1440 (c) ₹4960 (d) ₹960
  31. 31.What is the average of 76, 77, 80 and 27? (a) 66 (b) 67 (c) 65 (d) 64
  32. 32.A bag marked ₹1720 is sold at a 10% discount. What is its selling price? (a) ₹172 (b) ₹1892 (c) ₹1710 (d) ₹1548
  33. 33.A teacher has 18 pencils and 45 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 27 (b) 3 (c) 18 (d) 9
  34. 34.₹81 is shared between two friends in the ratio 1 : 8. How much is the bigger share? (a) ₹72 (b) ₹9 (c) ₹73 (d) ₹81
  35. 35.7 workers can build a wall in 12 days. How many days will 4 workers take, working at the same speed? (a) 9 days (b) 15 days (c) 22 days (d) 21 days
  36. 36.The average of 6 numbers is 20. When one number is taken away, the average of the rest is 18. Which number was taken away? (a) 38 (b) 12 (c) 20 (d) 30
  37. 37.If 2x + 13 = 17, what is x? (a) 2 (b) 15 (c) 3 (d) 4
  38. 38.Which is the smallest: 0.3, 0.079, 0.276, 0.32? (a) 0.3 (b) 0.079 (c) 0.276 (d) 0.32
  39. 39.2/4 + 2/4 = ? (a) 3/4 (b) 5/4 (c) 1/2 (d) 1
  40. 40.What is the average of 69, 70, 83 and 94? (a) 81 (b) 80 (c) 79 (d) 78

Answer key

  1. Monday
  2. 7
  3. ₹6710
  4. 4/5
  5. 11/14
  6. 0.72
  7. 5
  8. 5
  9. 64 sq cm
  10. ₹10030
  11. 16 sq cm
  12. 2
  13. 8
  14. 72
  15. Tuesday
  16. 42 min
  17. 7/8
  18. ₹192
  19. ₹1080
  20. 22
  21. 11.52
  22. 5373
  23. 76
  24. 114
  25. 2
  26. Monday
  27. 8
  28. Saturday
  29. 3
  30. ₹960
  31. 65
  32. ₹1548
  33. 9
  34. ₹72
  35. 21 days
  36. 30
  37. 2
  38. 0.079
  39. 1
  40. 79

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