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Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 654 · 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: 11/12 or 1/5? (a) They are equal (b) 11/12 (c) 1/5
  2. 2.Today is Saturday. What day of the week will it be after 80 days? (a) Thursday (b) Monday (c) Tuesday (d) Wednesday
  3. 3.What is the average of all the whole numbers from 31 to 69? (a) 19 (b) 50 (c) 51 (d) 38
  4. 4.What is the simple interest on ₹10000 at 2% per year for 5 years? (a) ₹1200 (b) ₹11000 (c) ₹1000 (d) ₹200
  5. 5.A rectangle is 14 cm long and 7 cm wide. What is its perimeter? (a) 98 cm (b) 21 cm (c) 42 cm (d) 35 cm
  6. 6.Which fraction is greater: 5/6 or 1/9? (a) They are equal (b) 1/9 (c) 5/6
  7. 7.What is the value of the digit 1 in 15.327? (a) 0.01 (b) 10 (c) 0.1 (d) 1
  8. 8.What is the value of the digit 1 in 56.314? (a) 0.001 (b) 0.1 (c) 1 (d) 0.01
  9. 9.What is the smallest number of sweets that can be shared equally among 16 children or among 28 children, with none left over? (a) 448 (b) 224 (c) 44 (d) 112
  10. 10.What is the units digit of 2^34? (a) 8 (b) 2 (c) 4 (d) 6
  11. 11.If 9 pens cost ₹153, how much do 10 pens cost? (a) ₹154 (b) ₹187 (c) ₹1530 (d) ₹170
  12. 12.Which is the greatest: 0.778, 0.83, 0.011, 0.8? (a) 0.778 (b) 0.83 (c) 0.011 (d) 0.8
  13. 13.Which fraction is greater: 7/8 or 7/11? (a) 7/11 (b) 7/8 (c) They are equal
  14. 14.The average of 5 numbers is 21. When one number is taken away, the average of the rest is 23. Which number was taken away? (a) 21 (b) 13 (c) 14 (d) 44
  15. 15.If 9 kites cost ₹189, how much do 3 kites cost? (a) ₹183 (b) ₹567 (c) ₹63 (d) ₹84
  16. 16.Which is the greatest: 0.42, 0.011, 0.4, 0.393? (a) 0.42 (b) 0.011 (c) 0.4 (d) 0.393
  17. 17.Which of these numbers is divisible by 4? (a) 1579 (b) 1581 (c) 1585 (d) 1580
  18. 18.Today is Saturday. What day of the week will it be after 26 days? (a) Saturday (b) Friday (c) Wednesday (d) Thursday
  19. 19.What is the remainder when 226 is divided by 3? (a) 1 (b) 2 (c) 0
  20. 20.1/2 + 5/6 = ? (a) 3/2 (b) 7/6 (c) 4/3 (d) 3/4
  21. 21.₹7000 is invested at 2% per year simple interest. What is the amount after 3 years? (a) ₹420 (b) ₹7420 (c) ₹7140 (d) ₹7560
  22. 22.If 7 July is a Friday, what day of the week is 15 July? (a) Friday (b) Monday (c) Saturday (d) Sunday
  23. 23.Today is Wednesday. What day of the week will it be after 91 days? (a) Friday (b) Tuesday (c) Wednesday (d) Thursday
  24. 24.If 8x + 5 = 3x + 65, what is x? (a) 13 (b) 14 (c) 11 (d) 12
  25. 25.₹1000 is invested at 9% per year simple interest. What is the amount after 5 years? (a) ₹1090 (b) ₹1450 (c) ₹1540 (d) ₹450
  26. 26.If 4x − 1 = 15, what is x? (a) 4 (b) 16 (c) 5 (d) 3
  27. 27.Two bells ring every 4 minutes and every 10 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 2 min (b) 40 min (c) 14 min (d) 20 min
  28. 28.What is the smallest number you must add to 97 to make it divisible by 3? (a) 2 (b) 1
  29. 29.A batter has an average of 54 runs in 9 matches. How many runs are needed in the next match to raise the average to 62? (a) 134 (b) 62 (c) 80 (d) 70
  30. 30.A teacher has 15 pencils and 40 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 15 (b) 25 (c) 5 (d) 1
  31. 31.Every pair follows the same rule: 3 : 7, 5 : 23, 6 : 34. What is 8 : ? (a) 62 (b) 63 (c) 12 (d) 56
  32. 32.A shopkeeper buys a toy for ₹920 and sells it for ₹828. What is his loss percent? (a) 92% (b) 10% (c) 5% (d) 15%
  33. 33.1/2 + 2/6 = ? (a) 5/6 (b) 3/8 (c) 1 (d) 2/3
  34. 34.Every pair follows the same rule: 2 : 13, 5 : 34, 7 : 58. What is 9 : ? (a) 20 (b) 91 (c) 90 (d) 82
  35. 35.A rectangle is 12 cm long and 11 cm wide. What is its area? (a) 23 sq cm (b) 144 sq cm (c) 132 sq cm (d) 46 sq cm
  36. 36.A square has a perimeter of 20 cm. What is its area? (a) 36 sq cm (b) 25 sq cm (c) 20 sq cm (d) 10 sq cm
  37. 37.What is the value of the digit 3 in 92.813? (a) 0.03 (b) 3 (c) 0.3 (d) 0.003
  38. 38.A batter has an average of 46 runs in 3 matches. How many runs are needed in the next match to raise the average to 48? (a) 8 (b) 54 (c) 48 (d) 50
  39. 39.What is the remainder when 662 is divided by 12? (a) 1 (b) 10 (c) 2 (d) 3
  40. 40.The simple interest on ₹9000 for 2 years is ₹720. What is the rate per year? (a) 8% (b) 4% (c) 5% (d) 3%

Answer key

  1. 11/12
  2. Tuesday
  3. 50
  4. ₹1000
  5. 42 cm
  6. 5/6
  7. 10
  8. 0.01
  9. 112
  10. 4
  11. ₹170
  12. 0.83
  13. 7/8
  14. 13
  15. ₹63
  16. 0.42
  17. 1580
  18. Thursday
  19. 1
  20. 4/3
  21. ₹7420
  22. Saturday
  23. Wednesday
  24. 12
  25. ₹1450
  26. 4
  27. 20 min
  28. 2
  29. 134
  30. 5
  31. 62
  32. 10%
  33. 5/6
  34. 90
  35. 132 sq cm
  36. 25 sq cm
  37. 0.003
  38. 54
  39. 2
  40. 4%

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