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Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 837 · 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. 1.4.04 + 4.3 = ? (a) 8.24 (b) 8.44 (c) 8.34 (d) 4.47
  2. 2.Which fraction is greater: 9/10 or 5/8? (a) 5/8 (b) 9/10 (c) They are equal
  3. 3.Every pair follows the same rule: 7 : 46, 8 : 61, 9 : 78. What is 2 : ? (a) 41 (b) 2 (c) 3 (d) 1
  4. 4.A rectangle has an area of 180 sq cm and a length of 20 cm. What is its width? (a) 160 cm (b) 9 cm (c) 18 cm (d) 10 cm
  5. 5.4.23 + 7.3 = ? (a) 11.63 (b) 11.53 (c) 11.43 (d) 4.96
  6. 6.What is the remainder when 402 is divided by 5? (a) 3 (b) 1 (c) 4 (d) 2
  7. 7.If 8x + 18 = 34, what is x? (a) 16 (b) 2 (c) 1 (d) 3
  8. 8.If 4 notebooks cost ₹96, how much do 3 notebooks cost? (a) ₹96 (b) ₹95 (c) ₹288 (d) ₹72
  9. 9.The average of 7 numbers is 45. When one number is taken away, the average of the rest is 41. Which number was taken away? (a) 69 (b) 86 (c) 28 (d) 45
  10. 10.What is the average of all the whole numbers from 60 to 96? (a) 18 (b) 78 (c) 79 (d) 36
  11. 11.If 5 March is a Wednesday, what day of the week is 20 March? (a) Friday (b) Saturday (c) Wednesday (d) Thursday
  12. 12.The average of 5 numbers is 23. When one number is taken away, the average of the rest is 26. Which number was taken away? (a) 23 (b) 49 (c) 11 (d) 12
  13. 13.4 workers can build a wall in 4 days. How many days will 2 workers take, working at the same speed? (a) 9 days (b) 8 days (c) 6 days (d) 2 days
  14. 14.A rectangle has an area of 76 sq cm and a length of 19 cm. What is its width? (a) 57 cm (b) 8 cm (c) 5 cm (d) 4 cm
  15. 15.A shopkeeper buys a toy for ₹600 and sells it for ₹540. What is his loss percent? (a) 10% (b) 5% (c) 15% (d) 60%
  16. 16.Which is the smallest: 0.092, 0.753, 0.86, 0.8? (a) 0.092 (b) 0.753 (c) 0.86 (d) 0.8
  17. 17.What is the smallest number of sweets that can be shared equally among 20 children or among 25 children, with none left over? (a) 500 (b) 45 (c) 200 (d) 100
  18. 18.What is the remainder when 124 is divided by 3? (a) 0 (b) 1 (c) 2
  19. 19.6.57 + 6.5 = ? (a) 7.22 (b) 12.97 (c) 13.07 (d) 13.17
  20. 20.A teacher has 20 pencils and 36 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 2 (b) 16 (c) 4 (d) 20
  21. 21.What is 30% of 720? (a) 2160 (b) 432 (c) 216 (d) 504
  22. 22.8.86 + 4.2 = ? (a) 12.96 (b) 9.28 (c) 13.06 (d) 13.16
  23. 23.What is the simple interest on ₹1000 at 9% per year for 3 years? (a) ₹1270 (b) ₹270 (c) ₹360 (d) ₹90
  24. 24.What is the average of all the whole numbers from 45 to 51? (a) 49 (b) 3 (c) 6 (d) 48
  25. 25.Today is Monday. What day of the week will it be after 82 days? (a) Sunday (b) Saturday (c) Friday (d) Monday
  26. 26.Today is Wednesday. What day of the week will it be after 14 days? (a) Friday (b) Thursday (c) Wednesday (d) Tuesday
  27. 27.Every pair follows the same rule: 2 : 3, 7 : 48, 8 : 63. What is 9 : ? (a) 81 (b) 80 (c) 78 (d) 10
  28. 28.A square has a perimeter of 32 cm. What is its area? (a) 64 sq cm (b) 32 sq cm (c) 16 sq cm (d) 81 sq cm
  29. 29.What is the value of the digit 2 in 63.712? (a) 0.002 (b) 0.02 (c) 0.2 (d) 2
  30. 30.Every pair follows the same rule: 5 : 24, 6 : 35, 7 : 48. What is 2 : ? (a) 2 (b) 21 (c) 4 (d) 3
  31. 31.1/2 + 6/7 = ? (a) 7/9 (b) 19/14 (c) 10/7 (d) 9/7
  32. 32.If 4x + 14 = 22, what is x? (a) 9 (b) 3 (c) 2 (d) 8
  33. 33.Which fraction is greater: 5/8 or 1/3? (a) 5/8 (b) They are equal (c) 1/3
  34. 34.If 4x + 26 = 46, what is x? (a) 5 (b) 20 (c) 18 (d) 6
  35. 35.A square has a perimeter of 60 cm. What is its area? (a) 60 sq cm (b) 30 sq cm (c) 256 sq cm (d) 225 sq cm
  36. 36.A batter has an average of 21 runs in 9 matches. How many runs are needed in the next match to raise the average to 23? (a) 41 (b) 25 (c) 23 (d) 20
  37. 37.8.18 + 9.2 = ? (a) 17.38 (b) 17.28 (c) 17.48 (d) 9.1
  38. 38.If 5 mangoes cost ₹95, how much do 8 mangoes cost? (a) ₹98 (b) ₹760 (c) ₹171 (d) ₹152
  39. 39.If 2 December is a Friday, what day of the week is 15 December? (a) Friday (b) Wednesday (c) Thursday (d) Saturday
  40. 40.A bag marked ₹420 is sold at a 10% discount. What is its selling price? (a) ₹462 (b) ₹42 (c) ₹378 (d) ₹410

Answer key

  1. 8.34
  2. 9/10
  3. 1
  4. 9 cm
  5. 11.53
  6. 2
  7. 2
  8. ₹72
  9. 69
  10. 78
  11. Thursday
  12. 11
  13. 8 days
  14. 4 cm
  15. 10%
  16. 0.092
  17. 100
  18. 1
  19. 13.07
  20. 4
  21. 216
  22. 13.06
  23. ₹270
  24. 48
  25. Saturday
  26. Wednesday
  27. 80
  28. 64 sq cm
  29. 0.002
  30. 3
  31. 19/14
  32. 2
  33. 5/8
  34. 5
  35. 225 sq cm
  36. 41
  37. 17.38
  38. ₹152
  39. Thursday
  40. ₹378

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