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Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 417 · 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 20 cm. What is its area? (a) 20 sq cm (b) 10 sq cm (c) 36 sq cm (d) 25 sq cm
  2. 2.Every pair follows the same rule: 3 : 15, 5 : 31, 7 : 55. What is 2 : ? (a) 9 (b) 11 (c) 14 (d) 10
  3. 3.If 3 notebooks cost ₹18, how much do 8 notebooks cost? (a) ₹54 (b) ₹23 (c) ₹48 (d) ₹144
  4. 4.What is the smallest number of sweets that can be shared equally among 16 children or among 20 children, with none left over? (a) 36 (b) 160 (c) 80 (d) 320
  5. 5.Which fraction is greater: 3/8 or 9/11? (a) 3/8 (b) 9/11 (c) They are equal
  6. 6.Every pair follows the same rule: 4 : 64, 5 : 125, 6 : 216. What is 2 : ? (a) 8 (b) 9 (c) 62 (d) 32
  7. 7.Which is the greatest: 0.8, 0.021, 0.87, 0.747? (a) 0.8 (b) 0.021 (c) 0.87 (d) 0.747
  8. 8.Which is the smallest: 0.57, 0.441, 0.047, 0.5? (a) 0.57 (b) 0.441 (c) 0.047 (d) 0.5
  9. 9.What is the simple interest on ₹4500 at 10% per year for 4 years? (a) ₹2250 (b) ₹6300 (c) ₹1800 (d) ₹450
  10. 10.Which is the smallest: 0.023, 0.58, 0.5, 0.463? (a) 0.023 (b) 0.58 (c) 0.5 (d) 0.463
  11. 11.What is the smallest number of sweets that can be shared equally among 9 children or among 21 children, with none left over? (a) 189 (b) 30 (c) 126 (d) 63
  12. 12.A square has a perimeter of 56 cm. What is its area? (a) 28 sq cm (b) 196 sq cm (c) 56 sq cm (d) 225 sq cm
  13. 13.What is the average of all the whole numbers from 11 to 39? (a) 14 (b) 26 (c) 28 (d) 25
  14. 14.A rectangle is 10 cm long and 6 cm wide. What is its area? (a) 32 sq cm (b) 70 sq cm (c) 16 sq cm (d) 60 sq cm
  15. 15.Which of these numbers is divisible by 3? (a) 2335 (b) 2331 (c) 2330 (d) 2332
  16. 16.A rectangle is 8 cm long and 4 cm wide. What is its perimeter? (a) 32 cm (b) 12 cm (c) 20 cm (d) 24 cm
  17. 17.If 2 mangoes cost ₹28, how much do 3 mangoes cost? (a) ₹29 (b) ₹56 (c) ₹42 (d) ₹84
  18. 18.₹175 is shared between two friends in the ratio 1 : 6. How much is the bigger share? (a) ₹150 (b) ₹151 (c) ₹175 (d) ₹25
  19. 19.A shopkeeper buys a toy for ₹1000 and sells it for ₹1300. What is his profit percent? (a) 30% (b) 25% (c) 35% (d) 31%
  20. 20.Which of these numbers is divisible by 11? (a) 4887 (b) 4884 (c) 4883 (d) 4896
  21. 21.Which fraction is greater: 1/4 or 7/9? (a) 1/4 (b) They are equal (c) 7/9
  22. 22.Every pair follows the same rule: 4 : 16, 5 : 25, 7 : 49. What is 3 : ? (a) 1 (b) 9 (c) 12 (d) 15
  23. 23.4.41 + 4.8 = ? (a) 4.89 (b) 9.21 (c) 9.31 (d) 9.11
  24. 24.If 4 kites cost ₹52, how much do 3 kites cost? (a) ₹39 (b) ₹156 (c) ₹51 (d) ₹52
  25. 25.Every pair follows the same rule: 2 : 8, 3 : 27, 5 : 125. What is 4 : ? (a) 10 (b) 76 (c) 16 (d) 64
  26. 26.What is the average of all the whole numbers from 53 to 87? (a) 71 (b) 17 (c) 70 (d) 34
  27. 27.Which is the smallest: 0.86, 0.8, 0.024, 0.798? (a) 0.86 (b) 0.8 (c) 0.024 (d) 0.798
  28. 28.Which fraction is greater: 1/7 or 2/11? (a) They are equal (b) 2/11 (c) 1/7
  29. 29.Two bells ring every 12 minutes and every 15 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 27 min (b) 180 min (c) 60 min (d) 3 min
  30. 30.If x/2 + 14 = 23, what is x? (a) 32 (b) 74 (c) 18 (d) 9
  31. 31.A rectangle is 14 cm long and 10 cm wide. What is its area? (a) 48 sq cm (b) 24 sq cm (c) 154 sq cm (d) 140 sq cm
  32. 32.Two ribbons are 36 cm and 96 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 12 cm (b) 60 cm (c) 36 cm (d) 6 cm
  33. 33.What is the simple interest on ₹7000 at 4% per year for 4 years? (a) ₹1120 (b) ₹8120 (c) ₹1400 (d) ₹280
  34. 34.If 6 pens cost ₹114, how much do 5 pens cost? (a) ₹113 (b) ₹114 (c) ₹570 (d) ₹95
  35. 35.If 7x − 1 = 41, what is x? (a) 5 (b) 7 (c) 42 (d) 6
  36. 36.What is the remainder when 386 is divided by 12? (a) 3 (b) 1 (c) 2 (d) 10
  37. 37.Every pair follows the same rule: 2 : 4, 6 : 36, 9 : 81. What is 5 : ? (a) 7 (b) 25 (c) 21 (d) 10
  38. 38.What is the simple interest on ₹6000 at 7% per year for 5 years? (a) ₹8100 (b) ₹420 (c) ₹2520 (d) ₹2100
  39. 39.A shopkeeper buys a toy for ₹560 and sells it for ₹840. What is his profit percent? (a) 50% (b) 51% (c) 45% (d) 55%
  40. 40.Which of these numbers is divisible by 3? (a) 2466 (b) 2470 (c) 2468 (d) 2464

Answer key

  1. 25 sq cm
  2. 10
  3. ₹48
  4. 80
  5. 9/11
  6. 8
  7. 0.87
  8. 0.047
  9. ₹1800
  10. 0.023
  11. 63
  12. 196 sq cm
  13. 25
  14. 60 sq cm
  15. 2331
  16. 24 cm
  17. ₹42
  18. ₹150
  19. 30%
  20. 4884
  21. 7/9
  22. 9
  23. 9.21
  24. ₹39
  25. 64
  26. 70
  27. 0.024
  28. 2/11
  29. 60 min
  30. 18
  31. 140 sq cm
  32. 12 cm
  33. ₹1120
  34. ₹95
  35. 6
  36. 2
  37. 25
  38. ₹2100
  39. 50%
  40. 2466

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