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Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 778 · 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 2 mangoes cost ₹30, how much do 6 mangoes cost? (a) ₹90 (b) ₹105 (c) ₹34 (d) ₹180
  2. 2.Which fraction is greater: 2/3 or 1/8? (a) 2/3 (b) They are equal (c) 1/8
  3. 3.What is 25% of 220? (a) 550 (b) 165 (c) 55 (d) 110
  4. 4.5/6 + 1/2 = ? (a) 3/4 (b) 3/2 (c) 4/3 (d) 7/6
  5. 5.Two ribbons are 16 cm and 36 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 2 cm (b) 16 cm (c) 4 cm (d) 20 cm
  6. 6.If x/3 + 4 = 9, what is x? (a) 39 (b) 5 (c) 15 (d) 23
  7. 7.Every pair follows the same rule: 3 : 9, 7 : 49, 8 : 64. What is 6 : ? (a) 34 (b) 12 (c) 18 (d) 36
  8. 8.Which fraction is greater: 2/7 or 7/8? (a) 2/7 (b) They are equal (c) 7/8
  9. 9.4 workers can build a wall in 4 days. How many days will 2 workers take, working at the same speed? (a) 6 days (b) 9 days (c) 8 days (d) 2 days
  10. 10.If 2 kites cost ₹36, how much do 5 kites cost? (a) ₹39 (b) ₹90 (c) ₹180 (d) ₹108
  11. 11.3/6 + 2/9 = ? (a) 1/3 (b) 2/3 (c) 7/9 (d) 13/18
  12. 12.If x/4 + 10 = 18, what is x? (a) 62 (b) 32 (c) 8 (d) 112
  13. 13.Today is Thursday. What day of the week will it be after 78 days? (a) Sunday (b) Saturday (c) Thursday (d) Friday
  14. 14.What is the smallest number you must add to 234 to make it divisible by 11? (a) 7 (b) 9 (c) 8 (d) 3
  15. 15.What is the average of 69, 82, 74, 91, 92 and 60? (a) 77 (b) 80 (c) 78 (d) 79
  16. 16.If 2 kites cost ₹20, how much do 12 kites cost? (a) ₹240 (b) ₹130 (c) ₹30 (d) ₹120
  17. 17.Every pair follows the same rule: 2 : 3, 3 : 8, 6 : 35. What is 9 : ? (a) 10 (b) 81 (c) 80 (d) 62
  18. 18.A square has a perimeter of 48 cm. What is its area? (a) 169 sq cm (b) 144 sq cm (c) 24 sq cm (d) 48 sq cm
  19. 19.Which is the greatest: 0.8, 0.766, 0.83, 0.017? (a) 0.8 (b) 0.766 (c) 0.83 (d) 0.017
  20. 20.Every pair follows the same rule: 1 : 1, 2 : 8, 3 : 27. What is 5 : ? (a) 125 (b) 126 (c) 5 (d) 65
  21. 21.9.98 + 6.7 = ? (a) 10.65 (b) 16.68 (c) 16.58 (d) 16.78
  22. 22.A teacher has 22 pencils and 55 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 33 (b) 11 (c) 22 (d) 1
  23. 23.Which is the greatest: 0.6, 0.64, 0.064, 0.542? (a) 0.6 (b) 0.64 (c) 0.064 (d) 0.542
  24. 24.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) 4 min (b) 40 min (c) 336 min (d) 84 min
  25. 25.A teacher has 14 pencils and 21 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 14 (b) 42 (c) 7 (d) 1
  26. 26.What is the smallest number of sweets that can be shared equally among 16 children or among 20 children, with none left over? (a) 320 (b) 36 (c) 160 (d) 80
  27. 27.A bag marked ₹1140 is sold at a 15% discount. What is its selling price? (a) ₹171 (b) ₹969 (c) ₹1125 (d) ₹1311
  28. 28.Today is Thursday. What day of the week will it be after 76 days? (a) Friday (b) Thursday (c) Tuesday (d) Wednesday
  29. 29.If 4 mangoes cost ₹76, how much do 6 mangoes cost? (a) ₹114 (b) ₹456 (c) ₹78 (d) ₹133
  30. 30.A bag marked ₹520 is sold at a 50% discount. What is its selling price? (a) ₹470 (b) ₹261 (c) ₹780 (d) ₹260
  31. 31.What is the units digit of 8^45? (a) 2 (b) 8 (c) 4 (d) 6
  32. 32.What is 15% of 960? (a) 1440 (b) 288 (c) 816 (d) 144
  33. 33.What is the average of 60, 56, 80 and 88? (a) 70 (b) 72 (c) 71 (d) 73
  34. 34.2/4 + 1/7 = ? (a) 17/28 (b) 19/28 (c) 9/14 (d) 3/11
  35. 35.What is the smallest number you must add to 351 to make it divisible by 6? (a) 4 (b) 5 (c) 3 (d) 2
  36. 36.3.13 + 7.9 = ? (a) 10.93 (b) 11.03 (c) 3.92 (d) 11.13
  37. 37.A rectangle has an area of 12 sq cm and a length of 6 cm. What is its width? (a) 6 cm (b) 2 cm (c) 3 cm (d) 4 cm
  38. 38.Two ribbons are 18 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) 63 cm (b) 9 cm (c) 3 cm (d) 18 cm
  39. 39.Today is Tuesday. What day of the week will it be after 72 days? (a) Saturday (b) Thursday (c) Friday (d) Wednesday
  40. 40.Which fraction is greater: 3/7 or 4/5? (a) They are equal (b) 3/7 (c) 4/5

Answer key

  1. ₹90
  2. 2/3
  3. 55
  4. 4/3
  5. 4 cm
  6. 15
  7. 36
  8. 7/8
  9. 8 days
  10. ₹90
  11. 13/18
  12. 32
  13. Friday
  14. 8
  15. 78
  16. ₹120
  17. 80
  18. 144 sq cm
  19. 0.83
  20. 125
  21. 16.68
  22. 11
  23. 0.64
  24. 84 min
  25. 7
  26. 80
  27. ₹969
  28. Wednesday
  29. ₹114
  30. ₹260
  31. 8
  32. 144
  33. 71
  34. 9/14
  35. 3
  36. 11.03
  37. 2 cm
  38. 9 cm
  39. Thursday
  40. 4/5

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