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Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 244 · 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.Which fraction is greater: 5/7 or 10/11? (a) 5/7 (b) They are equal (c) 10/11
  2. 2.Which fraction is greater: 1/3 or 3/5? (a) 3/5 (b) 1/3 (c) They are equal
  3. 3.Two bells ring every 10 minutes and every 12 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 22 min (b) 2 min (c) 60 min (d) 120 min
  4. 4.If 4x + 11 = 2x + 27, what is x? (a) 9 (b) 19 (c) 8 (d) 10
  5. 5.What is the average of 79, 71, 74 and 96? (a) 79 (b) 82 (c) 81 (d) 80
  6. 6.If 7 January is a Monday, what day of the week is 15 January? (a) Monday (b) Thursday (c) Wednesday (d) Tuesday
  7. 7.If 3x − 1 = 8, what is x? (a) 2 (b) 9 (c) 3 (d) 4
  8. 8.If 10 March is a Sunday, what day of the week is 19 March? (a) Thursday (b) Wednesday (c) Monday (d) Tuesday
  9. 9.What is the smallest number of sweets that can be shared equally among 8 children or among 12 children, with none left over? (a) 96 (b) 48 (c) 20 (d) 24
  10. 10.5/9 + 4/6 = ? (a) 7/6 (b) 23/18 (c) 11/9 (d) 3/5
  11. 11.Every pair follows the same rule: 5 : 23, 7 : 47, 9 : 79. What is 2 : ? (a) 1 (b) 20 (c) 2 (d) 3
  12. 12.What is the units digit of 9^21? (a) 1 (b) 9 (c) 7 (d) 8
  13. 13.If 3 kites cost ₹51, how much do 5 kites cost? (a) ₹85 (b) ₹255 (c) ₹53 (d) ₹102
  14. 14.Which of these numbers is divisible by 3? (a) 881 (b) 876 (c) 875 (d) 877
  15. 15.What is the remainder when 105 is divided by 4? (a) 3 (b) 2 (c) 1 (d) 0
  16. 16.Every pair follows the same rule: 3 : 13, 5 : 29, 7 : 53. What is 4 : ? (a) 21 (b) 17 (c) 14 (d) 20
  17. 17.A rectangle has an area of 135 sq cm and a length of 15 cm. What is its width? (a) 120 cm (b) 10 cm (c) 9 cm (d) 18 cm
  18. 18.Which of these numbers is divisible by 3? (a) 2304 (b) 2302 (c) 2309 (d) 2306
  19. 19.A shopkeeper buys a toy for ₹200 and sells it for ₹190. What is his loss percent? (a) 6% (b) 5% (c) 4% (d) 10%
  20. 20.Two bells ring every 9 minutes and every 15 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 24 min (b) 135 min (c) 45 min (d) 3 min
  21. 21.If x/4 + 14 = 19, what is x? (a) 132 (b) 5 (c) 62 (d) 20
  22. 22.Every pair follows the same rule: 2 : 16, 3 : 24, 6 : 48. What is 9 : ? (a) 72 (b) 71 (c) 23 (d) 73
  23. 23.If 12 August is a Wednesday, what day of the week is 21 August? (a) Thursday (b) Friday (c) Sunday (d) Saturday
  24. 24.Today is Saturday. What day of the week will it be after 48 days? (a) Sunday (b) Friday (c) Thursday (d) Saturday
  25. 25.Which is the greatest: 0.172, 0.2, 0.023, 0.21? (a) 0.172 (b) 0.2 (c) 0.023 (d) 0.21
  26. 26.Two bells ring every 10 minutes and every 25 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 35 min (b) 5 min (c) 250 min (d) 50 min
  27. 27.Every pair follows the same rule: 2 : 3, 5 : 18, 7 : 28. What is 9 : ? (a) 10 (b) 37 (c) 38 (d) 39
  28. 28.What is the simple interest on ₹8500 at 3% per year for 3 years? (a) ₹255 (b) ₹9265 (c) ₹765 (d) ₹1020
  29. 29.If 2 pens cost ₹12, how much do 9 pens cost? (a) ₹19 (b) ₹108 (c) ₹60 (d) ₹54
  30. 30.If 4x + 23 = 51, what is x? (a) 8 (b) 28 (c) 6 (d) 7
  31. 31.Which is the smallest: 0.3, 0.221, 0.057, 0.37? (a) 0.3 (b) 0.221 (c) 0.057 (d) 0.37
  32. 32.What is the smallest number you must add to 354 to make it divisible by 8? (a) 2 (b) 5 (c) 7 (d) 6
  33. 33.₹63 is shared between two friends in the ratio 2 : 5. How much is the bigger share? (a) ₹54 (b) ₹18 (c) ₹45 (d) ₹9
  34. 34.A teacher has 40 pencils and 48 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 4 (b) 240 (c) 40 (d) 8
  35. 35.A rectangle is 11 cm long and 3 cm wide. What is its perimeter? (a) 28 cm (b) 33 cm (c) 14 cm (d) 25 cm
  36. 36.1/3 + 2/4 = ? (a) 5/6 (b) 3/4 (c) 3/7 (d) 11/12
  37. 37.If 9 pens cost ₹72, how much do 4 pens cost? (a) ₹40 (b) ₹32 (c) ₹288 (d) ₹67
  38. 38.If 9 notebooks cost ₹72, how much do 10 notebooks cost? (a) ₹80 (b) ₹88 (c) ₹720 (d) ₹73
  39. 39.A shopkeeper buys a toy for ₹880 and sells it for ₹792. What is his loss percent? (a) 5% (b) 10% (c) 15% (d) 88%
  40. 40.A rectangle is 12 cm long and 8 cm wide. What is its area? (a) 96 sq cm (b) 108 sq cm (c) 20 sq cm (d) 40 sq cm

Answer key

  1. 10/11
  2. 3/5
  3. 60 min
  4. 8
  5. 80
  6. Tuesday
  7. 3
  8. Tuesday
  9. 24
  10. 11/9
  11. 2
  12. 9
  13. ₹85
  14. 876
  15. 1
  16. 20
  17. 9 cm
  18. 2304
  19. 5%
  20. 45 min
  21. 20
  22. 72
  23. Friday
  24. Friday
  25. 0.21
  26. 50 min
  27. 38
  28. ₹765
  29. ₹54
  30. 7
  31. 0.057
  32. 6
  33. ₹45
  34. 8
  35. 28 cm
  36. 5/6
  37. ₹32
  38. ₹80
  39. 10%
  40. 96 sq cm

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