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Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 351 · 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.The average of 7 numbers is 16. When one number is taken away, the average of the rest is 13. Which number was taken away? (a) 21 (b) 16 (c) 29 (d) 34
  2. 2.The average of 6 numbers is 22. When one number is taken away, the average of the rest is 20. Which number was taken away? (a) 42 (b) 12 (c) 22 (d) 32
  3. 3.What is the smallest number you must add to 514 to make it divisible by 9? (a) 8 (b) 7 (c) 1 (d) 6
  4. 4.Which is the greatest: 0.051, 0.127, 0.26, 0.2? (a) 0.051 (b) 0.127 (c) 0.26 (d) 0.2
  5. 5.If 2x + 24 = 36, what is x? (a) 30 (b) 6 (c) 12 (d) 7
  6. 6.Every pair follows the same rule: 3 : 16, 4 : 23, 6 : 43. What is 9 : ? (a) 89 (b) 73 (c) 22 (d) 88
  7. 7.Every pair follows the same rule: 2 : 13, 3 : 18, 8 : 43. What is 9 : ? (a) 49 (b) 47 (c) 20 (d) 48
  8. 8.What is the smallest number you must add to 318 to make it divisible by 4? (a) 2 (b) 3 (c) 1
  9. 9.Which is the greatest: 0.3, 0.37, 0.014, 0.287? (a) 0.3 (b) 0.37 (c) 0.014 (d) 0.287
  10. 10.Every pair follows the same rule: 3 : 20, 4 : 21, 5 : 22. What is 8 : ? (a) 26 (b) 24 (c) 27 (d) 25
  11. 11.If x/5 + 9 = 15, what is x? (a) 6 (b) 120 (c) 30 (d) 66
  12. 12.What is the remainder when 359 is divided by 6? (a) 4 (b) 3 (c) 5 (d) 1
  13. 13.3 workers can build a wall in 15 days. How many days will 5 workers take, working at the same speed? (a) 9 days (b) 17 days (c) 25 days (d) 13 days
  14. 14.Two ribbons are 48 cm and 108 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 60 cm (b) 6 cm (c) 48 cm (d) 12 cm
  15. 15.What is the value of the digit 6 in 61.583? (a) 0.6 (b) 60 (c) 6 (d) 0.06
  16. 16.What is the value of the digit 2 in 36.528? (a) 2 (b) 0.002 (c) 0.02 (d) 0.2
  17. 17.A shopkeeper buys a toy for ₹320 and sells it for ₹448. What is his profit percent? (a) 35% (b) 40% (c) 41% (d) 45%
  18. 18.If 1 March is a Sunday, what day of the week is 12 March? (a) Saturday (b) Friday (c) Wednesday (d) Thursday
  19. 19.What is 75% of 440? (a) 110 (b) 330 (c) 3300 (d) 660
  20. 20.If x/6 + 3 = 13, what is x? (a) 96 (b) 60 (c) 75 (d) 10
  21. 21.A shopkeeper buys a toy for ₹460 and sells it for ₹414. What is his loss percent? (a) 5% (b) 10% (c) 46% (d) 15%
  22. 22.If 3x + 3 = 2x + 14, what is x? (a) 17 (b) 12 (c) 11 (d) 13
  23. 23.What is the smallest number of sweets that can be shared equally among 18 children or among 42 children, with none left over? (a) 60 (b) 126 (c) 252 (d) 756
  24. 24.If 1 August is a Thursday, what day of the week is 12 August? (a) Sunday (b) Monday (c) Wednesday (d) Tuesday
  25. 25.₹325 is shared between two friends in the ratio 5 : 8. How much is the bigger share? (a) ₹200 (b) ₹225 (c) ₹25 (d) ₹125
  26. 26.The simple interest on ₹2500 for 5 years is ₹625. What is the rate per year? (a) 4% (b) 5% (c) 6% (d) 25%
  27. 27.Today is Saturday. What day of the week will it be after 14 days? (a) Friday (b) Monday (c) Saturday (d) Sunday
  28. 28.What is the smallest number of sweets that can be shared equally among 8 children or among 12 children, with none left over? (a) 48 (b) 20 (c) 96 (d) 24
  29. 29.Two bells ring every 4 minutes and every 6 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 2 min (b) 12 min (c) 10 min (d) 24 min
  30. 30.What is the smallest number of sweets that can be shared equally among 6 children or among 9 children, with none left over? (a) 36 (b) 18 (c) 54 (d) 15
  31. 31.Every pair follows the same rule: 3 : 9, 5 : 25, 7 : 49. What is 6 : ? (a) 12 (b) 36 (c) 18 (d) 37
  32. 32.Which is the greatest: 0.073, 0.6, 0.62, 0.532? (a) 0.073 (b) 0.6 (c) 0.62 (d) 0.532
  33. 33.What is the average of 46, 22, 48, 19, 27 and 42? (a) 36 (b) 35 (c) 34 (d) 33
  34. 34.1/2 + 1/7 = ? (a) 5/7 (b) 9/14 (c) 4/7 (d) 2/9
  35. 35.A rectangle has an area of 54 sq cm and a length of 18 cm. What is its width? (a) 3 cm (b) 36 cm (c) 6 cm (d) 4 cm
  36. 36.Every pair follows the same rule: 3 : 3, 6 : 9, 8 : 13. What is 7 : ? (a) 11 (b) 10 (c) 7 (d) 12
  37. 37.What is the value of the digit 8 in 98.267? (a) 0.8 (b) 0.08 (c) 8 (d) 80
  38. 38.If 6x − 84 = 6, what is x? (a) 14 (b) 16 (c) 90 (d) 15
  39. 39.A square has a perimeter of 60 cm. What is its area? (a) 30 sq cm (b) 60 sq cm (c) 225 sq cm (d) 256 sq cm
  40. 40.Today is Friday. What day of the week will it be after 63 days? (a) Friday (b) Sunday (c) Thursday (d) Saturday

Answer key

  1. 34
  2. 32
  3. 8
  4. 0.26
  5. 6
  6. 88
  7. 48
  8. 2
  9. 0.37
  10. 25
  11. 30
  12. 5
  13. 9 days
  14. 12 cm
  15. 60
  16. 0.02
  17. 40%
  18. Thursday
  19. 330
  20. 60
  21. 10%
  22. 11
  23. 126
  24. Monday
  25. ₹200
  26. 5%
  27. Saturday
  28. 24
  29. 12 min
  30. 18
  31. 36
  32. 0.62
  33. 34
  34. 9/14
  35. 3 cm
  36. 11
  37. 8
  38. 15
  39. 225 sq cm
  40. Friday

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