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Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 310 · 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.A square has a perimeter of 60 cm. What is its area? (a) 256 sq cm (b) 225 sq cm (c) 60 sq cm (d) 30 sq cm
  2. 2.Every pair follows the same rule: 4 : 7, 6 : 13, 9 : 22. What is 7 : ? (a) 17 (b) 10 (c) 15 (d) 16
  3. 3.If 9x + 7 = 52, what is x? (a) 6 (b) 45 (c) 4 (d) 5
  4. 4.If 8x − 3 = 21, what is x? (a) 2 (b) 24 (c) 4 (d) 3
  5. 5.Which fraction is greater: 5/9 or 1/3? (a) They are equal (b) 5/9 (c) 1/3
  6. 6.What is the units digit of 8^52? (a) 2 (b) 6 (c) 8 (d) 4
  7. 7.The average of 6 numbers is 27. When one number is taken away, the average of the rest is 29. Which number was taken away? (a) 18 (b) 17 (c) 27 (d) 56
  8. 8.Which fraction is greater: 3/8 or 4/7? (a) 3/8 (b) 4/7 (c) They are equal
  9. 9.₹2500 is invested at 6% per year simple interest. What is the amount after 2 years? (a) ₹2650 (b) ₹300 (c) ₹2800 (d) ₹2950
  10. 10.The average of 6 numbers is 16. When one number is taken away, the average of the rest is 15. Which number was taken away? (a) 16 (b) 31 (c) 6 (d) 21
  11. 11.If 3 March is a Thursday, what day of the week is 11 March? (a) Friday (b) Thursday (c) Sunday (d) Saturday
  12. 12.If 23 July is a Saturday, what day of the week is 11 August? (a) Friday (b) Saturday (c) Wednesday (d) Thursday
  13. 13.7.47 + 1.7 = ? (a) 7.64 (b) 9.07 (c) 9.17 (d) 9.27
  14. 14.Every pair follows the same rule: 2 : 6, 5 : 15, 9 : 27. What is 7 : ? (a) 11 (b) 20 (c) 22 (d) 21
  15. 15.What is the remainder when 724 is divided by 10? (a) 6 (b) 4 (c) 3 (d) 5
  16. 16.1/2 + 3/6 = ? (a) 1/2 (b) 5/6 (c) 7/6 (d) 1
  17. 17.If 4 mangoes cost ₹80, how much do 5 mangoes cost? (a) ₹81 (b) ₹100 (c) ₹120 (d) ₹400
  18. 18.Every pair follows the same rule: 2 : 2, 5 : 8, 7 : 12. What is 8 : ? (a) 14 (b) 8 (c) 13 (d) 15
  19. 19.A teacher has 28 pencils and 32 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 28 (b) 224 (c) 2 (d) 4
  20. 20.5 workers can build a wall in 9 days. How many days will 3 workers take, working at the same speed? (a) 7 days (b) 15 days (c) 16 days (d) 11 days
  21. 21.What is 10% of 660? (a) 132 (b) 66 (c) 594 (d) 660
  22. 22.A teacher has 18 pencils and 81 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 63 (b) 3 (c) 18 (d) 9
  23. 23.Which of these numbers is divisible by 9? (a) 2224 (b) 2232 (c) 2243 (d) 2240
  24. 24.If x/4 + 5 = 10, what is x? (a) 5 (b) 35 (c) 20 (d) 60
  25. 25.5/7 + 1/2 = ? (a) 2/3 (b) 9/7 (c) 8/7 (d) 17/14
  26. 26.A batter has an average of 57 runs in 5 matches. How many runs are needed in the next match to raise the average to 60? (a) 60 (b) 63 (c) 18 (d) 75
  27. 27.In how many years will ₹4000 earn ₹1440 simple interest at 12% per year? (a) 2 years (b) 6 years (c) 4 years (d) 3 years
  28. 28.Two bells ring every 12 minutes and every 18 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 216 min (b) 30 min (c) 36 min (d) 6 min
  29. 29.If 3 pens cost ₹24, how much do 9 pens cost? (a) ₹216 (b) ₹80 (c) ₹72 (d) ₹30
  30. 30.A shopkeeper buys a toy for ₹360 and sells it for ₹378. What is his profit percent? (a) 6% (b) 18% (c) 5% (d) 10%
  31. 31.Today is Saturday. What day of the week will it be after 52 days? (a) Thursday (b) Tuesday (c) Wednesday (d) Monday
  32. 32.What is 1/9 of 54? (a) 6 (b) 7 (c) 48 (d) 12
  33. 33.What is the smallest number you must add to 61 to make it divisible by 3? (a) 2 (b) 1
  34. 34.1/7 + 2/4 = ? (a) 3/11 (b) 9/14 (c) 17/28 (d) 19/28
  35. 35.In how many years will ₹3000 earn ₹270 simple interest at 3% per year? (a) 2 years (b) 6 years (c) 4 years (d) 3 years
  36. 36.Which fraction is greater: 5/7 or 1/4? (a) They are equal (b) 1/4 (c) 5/7
  37. 37.Which fraction is greater: 2/7 or 11/12? (a) They are equal (b) 2/7 (c) 11/12
  38. 38.A rectangle has an area of 99 sq cm and a length of 11 cm. What is its width? (a) 18 cm (b) 10 cm (c) 9 cm (d) 88 cm
  39. 39.A rectangle is 8 cm long and 3 cm wide. What is its area? (a) 11 sq cm (b) 24 sq cm (c) 22 sq cm (d) 32 sq cm
  40. 40.Two bells ring every 18 minutes and every 42 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 126 min (b) 6 min (c) 60 min (d) 756 min

Answer key

  1. 225 sq cm
  2. 16
  3. 5
  4. 3
  5. 5/9
  6. 6
  7. 17
  8. 4/7
  9. ₹2800
  10. 21
  11. Friday
  12. Thursday
  13. 9.17
  14. 21
  15. 4
  16. 1
  17. ₹100
  18. 14
  19. 4
  20. 15 days
  21. 66
  22. 9
  23. 2232
  24. 20
  25. 17/14
  26. 75
  27. 3 years
  28. 36 min
  29. ₹72
  30. 5%
  31. Tuesday
  32. 6
  33. 2
  34. 9/14
  35. 3 years
  36. 5/7
  37. 11/12
  38. 9 cm
  39. 24 sq cm
  40. 126 min

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