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Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 170 · 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.If 2x − 3 = 17, what is x? (a) 7 (b) 20 (c) 11 (d) 10
  2. 2.A batter has an average of 21 runs in 8 matches. How many runs are needed in the next match to raise the average to 26? (a) 26 (b) 45 (c) 66 (d) 31
  3. 3.What is the simple interest on ₹1500 at 4% per year for 3 years? (a) ₹180 (b) ₹1680 (c) ₹240 (d) ₹60
  4. 4.Which fraction is greater: 1/3 or 3/5? (a) 1/3 (b) 3/5 (c) They are equal
  5. 5.The simple interest on ₹9500 for 4 years is ₹3800. What is the rate per year? (a) 9% (b) 11% (c) 40% (d) 10%
  6. 6.If 5x − 11 = 14, what is x? (a) 6 (b) 4 (c) 25 (d) 5
  7. 7.What is the smallest number you must add to 429 to make it divisible by 8? (a) 5 (b) 4 (c) 3 (d) 2
  8. 8.What is the remainder when 91 is divided by 4? (a) 2 (b) 3 (c) 1 (d) 0
  9. 9.A teacher has 20 pencils and 32 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 4 (b) 2 (c) 12 (d) 20
  10. 10.What is the smallest number of sweets that can be shared equally among 6 children or among 8 children, with none left over? (a) 25 (b) 48 (c) 24 (d) 14
  11. 11.If x/6 + 14 = 23, what is x? (a) 9 (b) 222 (c) 124 (d) 54
  12. 12.What is the smallest number you must add to 52 to make it divisible by 3? (a) 1 (b) 2
  13. 13.In how many years will ₹5000 earn ₹1750 simple interest at 7% per year? (a) 5 years (b) 10 years (c) 6 years (d) 4 years
  14. 14.What is 2/7 of 21? (a) 6 (b) 9 (c) 15 (d) 3
  15. 15.What is the value of the digit 5 in 23.415? (a) 0.05 (b) 5 (c) 0.5 (d) 0.005
  16. 16.Every pair follows the same rule: 2 : 6, 4 : 12, 8 : 24. What is 3 : ? (a) 9 (b) 10 (c) 7 (d) 8
  17. 17.If 9 mangoes cost ₹36, how much do 4 mangoes cost? (a) ₹16 (b) ₹20 (c) ₹31 (d) ₹144
  18. 18.A square has a perimeter of 32 cm. What is its area? (a) 32 sq cm (b) 64 sq cm (c) 81 sq cm (d) 16 sq cm
  19. 19.If 28 July is a Wednesday, what day of the week is 17 August? (a) Wednesday (b) Thursday (c) Tuesday (d) Monday
  20. 20.Which fraction is greater: 7/9 or 3/7? (a) 7/9 (b) 3/7 (c) They are equal
  21. 21.What is the units digit of 4^21? (a) 4 (b) 5 (c) 6 (d) 3
  22. 22.A shopkeeper buys a toy for ₹780 and sells it for ₹975. What is his profit percent? (a) 20% (b) 26% (c) 25% (d) 30%
  23. 23.Which is the smallest: 0.61, 0.6, 0.078, 0.584? (a) 0.61 (b) 0.6 (c) 0.078 (d) 0.584
  24. 24.Every pair follows the same rule: 2 : 7, 3 : 12, 5 : 28. What is 6 : ? (a) 39 (b) 40 (c) 36 (d) 11
  25. 25.Which fraction is greater: 7/8 or 5/11? (a) They are equal (b) 5/11 (c) 7/8
  26. 26.What is the value of the digit 2 in 39.281? (a) 0.002 (b) 0.02 (c) 0.2 (d) 2
  27. 27.If 5x − 18 = 22, what is x? (a) 9 (b) 40 (c) 8 (d) 7
  28. 28.6 workers can build a wall in 9 days. How many days will 2 workers take, working at the same speed? (a) 27 days (b) 3 days (c) 13 days (d) 5 days
  29. 29.Which of these numbers is divisible by 9? (a) 3759 (b) 3775 (c) 3762 (d) 3769
  30. 30.Which fraction is greater: 6/7 or 3/5? (a) They are equal (b) 6/7 (c) 3/5
  31. 31.Today is Tuesday. What day of the week will it be after 69 days? (a) Wednesday (b) Sunday (c) Tuesday (d) Monday
  32. 32.Which is the greatest: 0.2, 0.024, 0.21, 0.117? (a) 0.2 (b) 0.024 (c) 0.21 (d) 0.117
  33. 33.1/2 + 3/7 = ? (a) 6/7 (b) 13/14 (c) 1 (d) 4/9
  34. 34.If 18 November is a Monday, what day of the week is 6 December? (a) Saturday (b) Sunday (c) Friday (d) Thursday
  35. 35.A rectangle is 15 cm long and 11 cm wide. What is its perimeter? (a) 26 cm (b) 41 cm (c) 165 cm (d) 52 cm
  36. 36.The simple interest on ₹7000 for 2 years is ₹1680. What is the rate per year? (a) 11% (b) 24% (c) 13% (d) 12%
  37. 37.9.18 + 7.5 = ? (a) 16.58 (b) 16.78 (c) 16.68 (d) 9.93
  38. 38.What is 1/8 of 80? (a) 70 (b) 20 (c) 11 (d) 10
  39. 39.A rectangle has an area of 48 sq cm and a length of 8 cm. What is its width? (a) 7 cm (b) 40 cm (c) 12 cm (d) 6 cm
  40. 40.Two bells ring every 8 minutes and every 14 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 56 min (b) 112 min (c) 22 min (d) 2 min

Answer key

  1. 10
  2. 66
  3. ₹180
  4. 3/5
  5. 10%
  6. 5
  7. 3
  8. 3
  9. 4
  10. 24
  11. 54
  12. 2
  13. 5 years
  14. 6
  15. 0.005
  16. 9
  17. ₹16
  18. 64 sq cm
  19. Tuesday
  20. 7/9
  21. 4
  22. 25%
  23. 0.078
  24. 39
  25. 7/8
  26. 0.2
  27. 8
  28. 27 days
  29. 3762
  30. 6/7
  31. Monday
  32. 0.21
  33. 13/14
  34. Friday
  35. 52 cm
  36. 12%
  37. 16.68
  38. 10
  39. 6 cm
  40. 56 min

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