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Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 51 · 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: 2/5 or 1/3? (a) 2/5 (b) They are equal (c) 1/3
  2. 2.A rectangle has an area of 156 sq cm and a length of 13 cm. What is its width? (a) 24 cm (b) 12 cm (c) 143 cm (d) 13 cm
  3. 3.What is the simple interest on ₹2500 at 4% per year for 2 years? (a) ₹100 (b) ₹300 (c) ₹2700 (d) ₹200
  4. 4.What is the average of 57, 71, 68 and 88? (a) 72 (b) 71 (c) 70 (d) 73
  5. 5.What is the smallest number you must add to 449 to make it divisible by 11? (a) 3 (b) 2 (c) 1 (d) 9
  6. 6.Two bells ring every 4 minutes and every 14 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 2 min (b) 56 min (c) 28 min (d) 18 min
  7. 7.What is the average of all the whole numbers from 20 to 36? (a) 28 (b) 16 (c) 29 (d) 8
  8. 8.What is the value of the digit 1 in 51.698? (a) 10 (b) 0.01 (c) 0.1 (d) 1
  9. 9.A shopkeeper buys a toy for ₹1000 and sells it for ₹1500. What is his profit percent? (a) 45% (b) 51% (c) 50% (d) 55%
  10. 10.What is the smallest number of sweets that can be shared equally among 15 children or among 18 children, with none left over? (a) 33 (b) 270 (c) 180 (d) 90
  11. 11.If 19 November is a Tuesday, what day of the week is 10 December? (a) Wednesday (b) Monday (c) Thursday (d) Tuesday
  12. 12.What is the remainder when 107 is divided by 3? (a) 0 (b) 1 (c) 2
  13. 13.3.09 + 6.6 = ? (a) 9.59 (b) 3.75 (c) 9.79 (d) 9.69
  14. 14.If 17 October is a Wednesday, what day of the week is 6 November? (a) Monday (b) Thursday (c) Wednesday (d) Tuesday
  15. 15.What is 5% of 960? (a) 912 (b) 48 (c) 96 (d) 480
  16. 16.What is the smallest number you must add to 318 to make it divisible by 5? (a) 3 (b) 2 (c) 1 (d) 4
  17. 17.Which is the smallest: 0.121, 0.2, 0.26, 0.021? (a) 0.121 (b) 0.2 (c) 0.26 (d) 0.021
  18. 18.What is the average of 9, 9, 9, 33 and 55? (a) 22 (b) 24 (c) 23 (d) 25
  19. 19.A square has a perimeter of 40 cm. What is its area? (a) 121 sq cm (b) 100 sq cm (c) 20 sq cm (d) 40 sq cm
  20. 20.If 8 October is a Friday, what day of the week is 16 October? (a) Monday (b) Saturday (c) Sunday (d) Friday
  21. 21.Which fraction is greater: 4/9 or 1/5? (a) They are equal (b) 4/9 (c) 1/5
  22. 22.If 3x − 7 = 14, what is x? (a) 8 (b) 21 (c) 6 (d) 7
  23. 23.If 3x + 16 = x + 22, what is x? (a) 4 (b) 19 (c) 5 (d) 3
  24. 24.What is the average of 53, 46, 75 and 66? (a) 60 (b) 61 (c) 80 (d) 59
  25. 25.If 2x − 1 = 7, what is x? (a) 4 (b) 3 (c) 8 (d) 5
  26. 26.What is the smallest number you must add to 298 to make it divisible by 6? (a) 3 (b) 2 (c) 4 (d) 1
  27. 27.₹588 is shared between two friends in the ratio 5 : 7. How much is the bigger share? (a) ₹343 (b) ₹245 (c) ₹49 (d) ₹294
  28. 28.What is 25% of 180? (a) 45 (b) 450 (c) 90 (d) 135
  29. 29.The simple interest on ₹2500 for 3 years is ₹225. What is the rate per year? (a) 9% (b) 3% (c) 2% (d) 4%
  30. 30.A square has a perimeter of 28 cm. What is its area? (a) 64 sq cm (b) 28 sq cm (c) 14 sq cm (d) 49 sq cm
  31. 31.Which fraction is greater: 1/4 or 3/5? (a) They are equal (b) 3/5 (c) 1/4
  32. 32.Every pair follows the same rule: 3 : 3, 7 : 11, 8 : 13. What is 2 : ? (a) 1 (b) 4 (c) 3 (d) 2
  33. 33.Two ribbons are 9 cm and 24 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 1 cm (b) 9 cm (c) 15 cm (d) 3 cm
  34. 34.4 workers can build a wall in 5 days. How many days will 2 workers take, working at the same speed? (a) 3 days (b) 7 days (c) 11 days (d) 10 days
  35. 35.A shopkeeper buys a toy for ₹220 and sells it for ₹253. What is his profit percent? (a) 20% (b) 15% (c) 33% (d) 10%
  36. 36.7.27 + 5.1 = ? (a) 12.47 (b) 12.27 (c) 7.78 (d) 12.37
  37. 37.If 4x − 16 = 4, what is x? (a) 5 (b) 20 (c) 6 (d) 4
  38. 38.If 2x − 29 = 1, what is x? (a) 30 (b) 14 (c) 15 (d) 16
  39. 39.The average of 5 numbers is 18. When one number is taken away, the average of the rest is 20. Which number was taken away? (a) 18 (b) 38 (c) 10 (d) 11
  40. 40.If 4x − 29 = 3, what is x? (a) 9 (b) 8 (c) 7 (d) 32

Answer key

  1. 2/5
  2. 12 cm
  3. ₹200
  4. 71
  5. 2
  6. 28 min
  7. 28
  8. 1
  9. 50%
  10. 90
  11. Tuesday
  12. 2
  13. 9.69
  14. Tuesday
  15. 48
  16. 2
  17. 0.021
  18. 23
  19. 100 sq cm
  20. Saturday
  21. 4/9
  22. 7
  23. 3
  24. 60
  25. 4
  26. 2
  27. ₹343
  28. 45
  29. 3%
  30. 49 sq cm
  31. 3/5
  32. 1
  33. 3 cm
  34. 10 days
  35. 15%
  36. 12.37
  37. 5
  38. 15
  39. 10
  40. 8

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