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Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 173 · 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.A square has a perimeter of 40 cm. What is its area? (a) 20 sq cm (b) 40 sq cm (c) 121 sq cm (d) 100 sq cm
  2. 2.If x/2 + 15 = 21, what is x? (a) 6 (b) 72 (c) 12 (d) 27
  3. 3.What is the smallest number of sweets that can be shared equally among 9 children or among 15 children, with none left over? (a) 24 (b) 45 (c) 90 (d) 135
  4. 4.If 2x + 12 = 42, what is x? (a) 30 (b) 16 (c) 15 (d) 27
  5. 5.If 5x + 15 = 65, what is x? (a) 10 (b) 11 (c) 16 (d) 50
  6. 6.₹2000 is invested at 10% per year simple interest. What is the amount after 5 years? (a) ₹1000 (b) ₹3200 (c) ₹3000 (d) ₹2200
  7. 7.2/7 + 1/2 = ? (a) 1/3 (b) 5/7 (c) 6/7 (d) 11/14
  8. 8.What is 2/3 of 9? (a) 3 (b) 7 (c) 6 (d) 9
  9. 9.Every pair follows the same rule: 2 : 4, 3 : 9, 6 : 36. What is 4 : ? (a) 6 (b) 16 (c) 8 (d) 18
  10. 10.What is 5% of 960? (a) 480 (b) 912 (c) 48 (d) 96
  11. 11.Two ribbons are 21 cm and 49 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 21 cm (b) 28 cm (c) 7 cm (d) 1 cm
  12. 12.Which is the smallest: 0.096, 0.5, 0.492, 0.52? (a) 0.096 (b) 0.5 (c) 0.492 (d) 0.52
  13. 13.What is the smallest number you must add to 131 to make it divisible by 3? (a) 1 (b) 2
  14. 14.9.24 + 6.1 = ? (a) 15.44 (b) 9.85 (c) 15.34 (d) 15.24
  15. 15.₹21 is shared between two friends in the ratio 1 : 2. How much is the bigger share? (a) ₹7 (b) ₹15 (c) ₹14 (d) ₹21
  16. 16.Every pair follows the same rule: 3 : 21, 7 : 49, 8 : 56. What is 2 : ? (a) 20 (b) 14 (c) 13 (d) 15
  17. 17.What is 1/8 of 88? (a) 22 (b) 12 (c) 11 (d) 77
  18. 18.A rectangle has an area of 192 sq cm and a length of 16 cm. What is its width? (a) 12 cm (b) 13 cm (c) 24 cm (d) 176 cm
  19. 19.What is the units digit of 4^17? (a) 4 (b) 3 (c) 6 (d) 5
  20. 20.3 workers can build a wall in 4 days. How many days will 6 workers take, working at the same speed? (a) 8 days (b) 1 day (c) 7 days (d) 2 days
  21. 21.Which is the greatest: 0.726, 0.017, 0.87, 0.8? (a) 0.726 (b) 0.017 (c) 0.87 (d) 0.8
  22. 22.What is the value of the digit 6 in 86.491? (a) 0.6 (b) 0.06 (c) 60 (d) 6
  23. 23.What is the value of the digit 1 in 48.139? (a) 1 (b) 0.01 (c) 0.1 (d) 0.001
  24. 24.Which fraction is greater: 6/7 or 5/9? (a) They are equal (b) 5/9 (c) 6/7
  25. 25.A square has a perimeter of 32 cm. What is its area? (a) 81 sq cm (b) 32 sq cm (c) 16 sq cm (d) 64 sq cm
  26. 26.A teacher has 20 pencils and 35 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 20 (b) 1 (c) 5 (d) 15
  27. 27.What is the average of 49, 42, 43 and 10? (a) 37 (b) 36 (c) 48 (d) 35
  28. 28.What is 75% of 840? (a) 1260 (b) 6300 (c) 630 (d) 210
  29. 29.Today is Monday. What day of the week will it be after 86 days? (a) Tuesday (b) Friday (c) Thursday (d) Wednesday
  30. 30.Every pair follows the same rule: 4 : 32, 6 : 48, 8 : 64. What is 3 : ? (a) 23 (b) 24 (c) 25 (d) 31
  31. 31.If 4 pens cost ₹72, how much do 3 pens cost? (a) ₹72 (b) ₹216 (c) ₹71 (d) ₹54
  32. 32.What is 1/3 of 9? (a) 6 (b) 4 (c) 2 (d) 3
  33. 33.Two bells ring every 12 minutes and every 14 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 2 min (b) 168 min (c) 84 min (d) 26 min
  34. 34.A batter has an average of 25 runs in 5 matches. How many runs are needed in the next match to raise the average to 32? (a) 42 (b) 39 (c) 32 (d) 67
  35. 35.What is the smallest number of sweets that can be shared equally among 10 children or among 35 children, with none left over? (a) 45 (b) 140 (c) 70 (d) 350
  36. 36.A rectangle is 13 cm long and 3 cm wide. What is its area? (a) 52 sq cm (b) 32 sq cm (c) 39 sq cm (d) 16 sq cm
  37. 37.What is the units digit of 2^38? (a) 4 (b) 2 (c) 8 (d) 6
  38. 38.A shopkeeper buys a toy for ₹100 and sells it for ₹140. What is his profit percent? (a) 35% (b) 40% (c) 45% (d) 41%
  39. 39.The simple interest on ₹9000 for 4 years is ₹2520. What is the rate per year? (a) 28% (b) 6% (c) 7% (d) 8%
  40. 40.5 workers can build a wall in 15 days. How many days will 3 workers take, working at the same speed? (a) 9 days (b) 13 days (c) 17 days (d) 25 days

Answer key

  1. 100 sq cm
  2. 12
  3. 45
  4. 15
  5. 10
  6. ₹3000
  7. 11/14
  8. 6
  9. 16
  10. 48
  11. 7 cm
  12. 0.096
  13. 1
  14. 15.34
  15. ₹14
  16. 14
  17. 11
  18. 12 cm
  19. 4
  20. 2 days
  21. 0.87
  22. 6
  23. 0.1
  24. 6/7
  25. 64 sq cm
  26. 5
  27. 36
  28. 630
  29. Wednesday
  30. 24
  31. ₹54
  32. 3
  33. 84 min
  34. 67
  35. 70
  36. 39 sq cm
  37. 4
  38. 40%
  39. 7%
  40. 25 days

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