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Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 102 · 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 rectangle is 19 cm long and 6 cm wide. What is its perimeter? (a) 50 cm (b) 25 cm (c) 44 cm (d) 114 cm
  2. 2.Which of these numbers is divisible by 3? (a) 453 (b) 457 (c) 454 (d) 452
  3. 3.Which is the smallest: 0.2, 0.26, 0.011, 0.175? (a) 0.2 (b) 0.26 (c) 0.011 (d) 0.175
  4. 4.What is 1/7 of 63? (a) 10 (b) 18 (c) 9 (d) 54
  5. 5.In how many years will ₹2000 earn ₹400 simple interest at 4% per year? (a) 6 years (b) 5 years (c) 10 years (d) 4 years
  6. 6.Today is Tuesday. What day of the week will it be after 55 days? (a) Wednesday (b) Sunday (c) Tuesday (d) Monday
  7. 7.₹63 is shared between two friends in the ratio 1 : 6. How much is the bigger share? (a) ₹63 (b) ₹54 (c) ₹55 (d) ₹9
  8. 8.What is the remainder when 217 is divided by 11? (a) 8 (b) 3 (c) 9 (d) 7
  9. 9.The average of 7 numbers is 32. When one number is taken away, the average of the rest is 33. Which number was taken away? (a) 27 (b) 65 (c) 26 (d) 32
  10. 10.1/7 + 1/5 = ? (a) 11/35 (b) 12/35 (c) 13/35 (d) 1/6
  11. 11.If 8x + 15 = 79, what is x? (a) 64 (b) 9 (c) 8 (d) 7
  12. 12.Two ribbons are 20 cm and 30 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 20 cm (b) 10 cm (c) 5 cm (d) 60 cm
  13. 13.A rectangle is 9 cm long and 2 cm wide. What is its perimeter? (a) 11 cm (b) 20 cm (c) 18 cm (d) 22 cm
  14. 14.Which of these numbers is divisible by 9? (a) 3090 (b) 3080 (c) 3097 (d) 3087
  15. 15.9.18 + 3.2 = ? (a) 12.38 (b) 12.48 (c) 12.28 (d) 9.5
  16. 16.Which fraction is greater: 4/11 or 1/3? (a) They are equal (b) 4/11 (c) 1/3
  17. 17.3 workers can build a wall in 15 days. How many days will 9 workers take, working at the same speed? (a) 21 days (b) 5 days (c) 9 days (d) 45 days
  18. 18.Today is Monday. What day of the week will it be after 34 days? (a) Tuesday (b) Sunday (c) Monday (d) Saturday
  19. 19.A shopkeeper buys a toy for ₹1000 and sells it for ₹1150. What is his profit percent? (a) 16% (b) 10% (c) 15% (d) 20%
  20. 20.6.73 + 3.4 = ? (a) 7.07 (b) 10.03 (c) 10.23 (d) 10.13
  21. 21.What is the smallest number you must add to 283 to make it divisible by 4? (a) 3 (b) 2 (c) 1
  22. 22.If 5 pens cost ₹50, how much do 8 pens cost? (a) ₹90 (b) ₹80 (c) ₹400 (d) ₹53
  23. 23.A rectangle is 20 cm long and 7 cm wide. What is its perimeter? (a) 140 cm (b) 27 cm (c) 47 cm (d) 54 cm
  24. 24.Which of these numbers is divisible by 4? (a) 227 (b) 235 (c) 228 (d) 229
  25. 25.If 6 May is a Friday, what day of the week is 14 May? (a) Friday (b) Saturday (c) Monday (d) Sunday
  26. 26.If 8x + 10 = 74, what is x? (a) 7 (b) 9 (c) 8 (d) 64
  27. 27.A batter has an average of 20 runs in 5 matches. How many runs are needed in the next match to raise the average to 28? (a) 68 (b) 48 (c) 28 (d) 36
  28. 28.What is the smallest number you must add to 157 to make it divisible by 6? (a) 5 (b) 1 (c) 3 (d) 4
  29. 29.2/6 + 4/5 = ? (a) 17/15 (b) 7/6 (c) 11/10 (d) 6/11
  30. 30.If 13 January is a Saturday, what day of the week is 29 January? (a) Tuesday (b) Sunday (c) Monday (d) Wednesday
  31. 31.A square has a perimeter of 28 cm. What is its area? (a) 64 sq cm (b) 14 sq cm (c) 49 sq cm (d) 28 sq cm
  32. 32.Which of these numbers is divisible by 3? (a) 382 (b) 378 (c) 376 (d) 380
  33. 33.A square has a perimeter of 24 cm. What is its area? (a) 49 sq cm (b) 24 sq cm (c) 12 sq cm (d) 36 sq cm
  34. 34.5.01 + 1.4 = ? (a) 6.51 (b) 6.31 (c) 6.41 (d) 5.15
  35. 35.Every pair follows the same rule: 3 : 7, 5 : 23, 9 : 79. What is 2 : ? (a) 3 (b) 1 (c) 2 (d) 6
  36. 36.What is the simple interest on ₹3000 at 4% per year for 5 years? (a) ₹720 (b) ₹3600 (c) ₹120 (d) ₹600
  37. 37.Today is Tuesday. What day of the week will it be after 24 days? (a) Thursday (b) Saturday (c) Sunday (d) Friday
  38. 38.What is the average of all the whole numbers from 13 to 41? (a) 14 (b) 26 (c) 28 (d) 27
  39. 39.A rectangle is 9 cm long and 2 cm wide. What is its area? (a) 18 sq cm (b) 11 sq cm (c) 22 sq cm (d) 27 sq cm
  40. 40.What is 1/2 of 18? (a) 10 (b) 9 (c) 18 (d) 8

Answer key

  1. 50 cm
  2. 453
  3. 0.011
  4. 9
  5. 5 years
  6. Monday
  7. ₹54
  8. 8
  9. 26
  10. 12/35
  11. 8
  12. 10 cm
  13. 22 cm
  14. 3087
  15. 12.38
  16. 4/11
  17. 5 days
  18. Sunday
  19. 15%
  20. 10.13
  21. 1
  22. ₹80
  23. 54 cm
  24. 228
  25. Saturday
  26. 8
  27. 68
  28. 5
  29. 17/15
  30. Monday
  31. 49 sq cm
  32. 378
  33. 36 sq cm
  34. 6.41
  35. 2
  36. ₹600
  37. Friday
  38. 27
  39. 18 sq cm
  40. 9

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