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Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 279 · 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.What is 60% of 900? (a) 540 (b) 5400 (c) 360 (d) 1080
  2. 2.If 7x − 7 = 14, what is x? (a) 21 (b) 4 (c) 1 (d) 3
  3. 3.Which fraction is greater: 1/4 or 5/7? (a) 5/7 (b) They are equal (c) 1/4
  4. 4.What is the smallest number you must add to 212 to make it divisible by 7? (a) 5 (b) 2 (c) 4 (d) 6
  5. 5.If 29 March is a Monday, what day of the week is 8 April? (a) Thursday (b) Saturday (c) Friday (d) Wednesday
  6. 6.The average of 7 numbers is 23. When one number is taken away, the average of the rest is 21. Which number was taken away? (a) 35 (b) 23 (c) 14 (d) 44
  7. 7.If 3 notebooks cost ₹45, how much do 2 notebooks cost? (a) ₹30 (b) ₹44 (c) ₹90 (d) ₹45
  8. 8.A shopkeeper buys a toy for ₹580 and sells it for ₹725. What is his profit percent? (a) 25% (b) 30% (c) 26% (d) 20%
  9. 9.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) 756 (d) 252
  10. 10.What is 3/7 of 28? (a) 4 (b) 16 (c) 12 (d) 13
  11. 11.What is 10% of 340? (a) 306 (b) 68 (c) 34 (d) 340
  12. 12.If 3 mangoes cost ₹15, how much do 8 mangoes cost? (a) ₹120 (b) ₹45 (c) ₹40 (d) ₹20
  13. 13.Today is Thursday. What day of the week will it be after 34 days? (a) Thursday (b) Friday (c) Wednesday (d) Tuesday
  14. 14.If 13 March is a Tuesday, what day of the week is 24 March? (a) Sunday (b) Friday (c) Monday (d) Saturday
  15. 15.Which of these numbers is divisible by 3? (a) 437 (b) 438 (c) 439 (d) 442
  16. 16.A bag marked ₹1780 is sold at a 50% discount. What is its selling price? (a) ₹890 (b) ₹891 (c) ₹2670 (d) ₹1730
  17. 17.A rectangle is 7 cm long and 5 cm wide. What is its perimeter? (a) 19 cm (b) 35 cm (c) 12 cm (d) 24 cm
  18. 18.What is the smallest number of sweets that can be shared equally among 15 children or among 21 children, with none left over? (a) 315 (b) 210 (c) 105 (d) 36
  19. 19.A teacher has 24 pencils and 56 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 4 (b) 32 (c) 8 (d) 24
  20. 20.A teacher has 25 pencils and 35 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 25 (b) 1 (c) 5 (d) 10
  21. 21.The simple interest on ₹2000 for 2 years is ₹280. What is the rate per year? (a) 14% (b) 7% (c) 8% (d) 6%
  22. 22.If 3 May is a Saturday, what day of the week is 11 May? (a) Tuesday (b) Sunday (c) Monday (d) Saturday
  23. 23.If 13 January is a Thursday, what day of the week is 24 January? (a) Sunday (b) Tuesday (c) Monday (d) Wednesday
  24. 24.If x/2 + 2 = 4, what is x? (a) 6 (b) 4 (c) 2 (d) 12
  25. 25.What is the average of 25, 23, 28, 49, 33 and 64? (a) 36 (b) 38 (c) 39 (d) 37
  26. 26.The simple interest on ₹5500 for 5 years is ₹1100. What is the rate per year? (a) 20% (b) 5% (c) 3% (d) 4%
  27. 27.A rectangle has an area of 168 sq cm and a length of 14 cm. What is its width? (a) 154 cm (b) 12 cm (c) 24 cm (d) 13 cm
  28. 28.Today is Saturday. What day of the week will it be after 100 days? (a) Wednesday (b) Monday (c) Sunday (d) Tuesday
  29. 29.2/4 + 4/6 = ? (a) 13/12 (b) 3/5 (c) 7/6 (d) 5/4
  30. 30.If 13 August is a Thursday, what day of the week is 25 August? (a) Tuesday (b) Monday (c) Thursday (d) Wednesday
  31. 31.What is 1/3 of 24? (a) 7 (b) 9 (c) 8 (d) 16
  32. 32.A shopkeeper buys a toy for ₹940 and sells it for ₹893. What is his loss percent? (a) 10% (b) 5% (c) 47% (d) 6%
  33. 33.8.94 + 7.1 = ? (a) 15.94 (b) 9.65 (c) 16.04 (d) 16.14
  34. 34.2.98 + 9.1 = ? (a) 11.98 (b) 12.08 (c) 3.89 (d) 12.18
  35. 35.5 workers can build a wall in 8 days. How many days will 10 workers take, working at the same speed? (a) 16 days (b) 3 days (c) 4 days (d) 13 days
  36. 36.Which is the smallest: 0.44, 0.392, 0.4, 0.085? (a) 0.44 (b) 0.392 (c) 0.4 (d) 0.085
  37. 37.Every pair follows the same rule: 2 : 7, 4 : 17, 7 : 32. What is 9 : ? (a) 43 (b) 41 (c) 14 (d) 42
  38. 38.What is the average of 42, 54, 62 and 38? (a) 51 (b) 48 (c) 49 (d) 50
  39. 39.3.82 + 5.5 = ? (a) 4.37 (b) 9.22 (c) 9.32 (d) 9.42
  40. 40.7.71 + 5.4 = ? (a) 8.25 (b) 13.01 (c) 13.21 (d) 13.11

Answer key

  1. 540
  2. 3
  3. 5/7
  4. 5
  5. Thursday
  6. 35
  7. ₹30
  8. 25%
  9. 126
  10. 12
  11. 34
  12. ₹40
  13. Wednesday
  14. Saturday
  15. 438
  16. ₹890
  17. 24 cm
  18. 105
  19. 8
  20. 5
  21. 7%
  22. Sunday
  23. Monday
  24. 4
  25. 37
  26. 4%
  27. 12 cm
  28. Monday
  29. 7/6
  30. Tuesday
  31. 8
  32. 5%
  33. 16.04
  34. 12.08
  35. 4 days
  36. 0.085
  37. 42
  38. 49
  39. 9.32
  40. 13.11

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