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Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 878 · 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.The average of 4 numbers is 37. When one number is taken away, the average of the rest is 39. Which number was taken away? (a) 76 (b) 37 (c) 32 (d) 31
  2. 2.Every pair follows the same rule: 2 : 8, 3 : 27, 4 : 64. What is 5 : ? (a) 20 (b) 125 (c) 101 (d) 11
  3. 3.What is the average of 54, 59, 51, 41 and 50? (a) 51 (b) 50 (c) 52 (d) 53
  4. 4.Every pair follows the same rule: 2 : 8, 4 : 16, 7 : 28. What is 9 : ? (a) 37 (b) 36 (c) 35 (d) 15
  5. 5.3.62 + 3.6 = ? (a) 3.98 (b) 7.12 (c) 7.32 (d) 7.22
  6. 6.Two ribbons are 6 cm and 8 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 24 cm (b) 6 cm (c) 2 cm (d) 1 cm
  7. 7.A rectangle is 15 cm long and 3 cm wide. What is its area? (a) 45 sq cm (b) 18 sq cm (c) 36 sq cm (d) 60 sq cm
  8. 8.₹77 is shared between two friends in the ratio 2 : 9. How much is the bigger share? (a) ₹63 (b) ₹14 (c) ₹7 (d) ₹70
  9. 9.A batter has an average of 47 runs in 5 matches. How many runs are needed in the next match to raise the average to 50? (a) 65 (b) 18 (c) 53 (d) 50
  10. 10.If 6x + 6 = 5x + 13, what is x? (a) 9 (b) 19 (c) 7 (d) 8
  11. 11.Two ribbons are 22 cm and 99 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 1 cm (b) 77 cm (c) 22 cm (d) 11 cm
  12. 12.A rectangle has an area of 105 sq cm and a length of 15 cm. What is its width? (a) 8 cm (b) 14 cm (c) 90 cm (d) 7 cm
  13. 13.Which fraction is greater: 3/10 or 3/5? (a) 3/5 (b) They are equal (c) 3/10
  14. 14.A rectangle is 7 cm long and 2 cm wide. What is its area? (a) 14 sq cm (b) 9 sq cm (c) 18 sq cm (d) 21 sq cm
  15. 15.Today is Saturday. What day of the week will it be after 26 days? (a) Friday (b) Saturday (c) Wednesday (d) Thursday
  16. 16.Which is the smallest: 0.358, 0.46, 0.4, 0.062? (a) 0.358 (b) 0.46 (c) 0.4 (d) 0.062
  17. 17.What is 15% of 740? (a) 222 (b) 1110 (c) 111 (d) 629
  18. 18.Today is Saturday. What day of the week will it be after 37 days? (a) Monday (b) Sunday (c) Tuesday (d) Wednesday
  19. 19.A square has a perimeter of 28 cm. What is its area? (a) 14 sq cm (b) 28 sq cm (c) 49 sq cm (d) 64 sq cm
  20. 20.Which fraction is greater: 1/9 or 4/5? (a) They are equal (b) 4/5 (c) 1/9
  21. 21.If 25 September is a Sunday, what day of the week is 17 October? (a) Monday (b) Wednesday (c) Tuesday (d) Sunday
  22. 22.A rectangle is 12 cm long and 11 cm wide. What is its perimeter? (a) 46 cm (b) 35 cm (c) 132 cm (d) 23 cm
  23. 23.1.39 + 3.7 = ? (a) 5.09 (b) 1.76 (c) 4.99 (d) 5.19
  24. 24.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
  25. 25.What is 1/8 of 24? (a) 4 (b) 3 (c) 6 (d) 21
  26. 26.What is the smallest number of sweets that can be shared equally among 12 children or among 20 children, with none left over? (a) 32 (b) 60 (c) 240 (d) 120
  27. 27.A rectangle is 6 cm long and 4 cm wide. What is its perimeter? (a) 16 cm (b) 20 cm (c) 24 cm (d) 10 cm
  28. 28.What is the units digit of 4^60? (a) 5 (b) 7 (c) 6 (d) 4
  29. 29.Two bells ring every 9 minutes and every 21 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 63 min (b) 189 min (c) 30 min (d) 3 min
  30. 30.If 6 mangoes cost ₹144, how much do 2 mangoes cost? (a) ₹48 (b) ₹140 (c) ₹288 (d) ₹72
  31. 31.Every pair follows the same rule: 3 : 8, 5 : 24, 8 : 63. What is 2 : ? (a) 3 (b) 2 (c) 4 (d) 7
  32. 32.What is the units digit of 2^32? (a) 6 (b) 4 (c) 2 (d) 8
  33. 33.What is the units digit of 7^17? (a) 9 (b) 3 (c) 7 (d) 1
  34. 34.The simple interest on ₹4000 for 5 years is ₹1200. What is the rate per year? (a) 7% (b) 6% (c) 30% (d) 5%
  35. 35.The simple interest on ₹4500 for 5 years is ₹2025. What is the rate per year? (a) 45% (b) 10% (c) 8% (d) 9%
  36. 36.₹392 is shared between two friends in the ratio 5 : 9. How much is the bigger share? (a) ₹196 (b) ₹28 (c) ₹140 (d) ₹252
  37. 37.Two ribbons are 42 cm and 49 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 7 cm (b) 294 cm (c) 1 cm (d) 42 cm
  38. 38.A rectangle is 11 cm long and 6 cm wide. What is its area? (a) 66 sq cm (b) 77 sq cm (c) 17 sq cm (d) 34 sq cm
  39. 39.What is the simple interest on ₹3500 at 8% per year for 2 years? (a) ₹280 (b) ₹4060 (c) ₹560 (d) ₹840
  40. 40.A batter has an average of 41 runs in 5 matches. How many runs are needed in the next match to raise the average to 48? (a) 55 (b) 48 (c) 83 (d) 42

Answer key

  1. 31
  2. 125
  3. 51
  4. 36
  5. 7.22
  6. 2 cm
  7. 45 sq cm
  8. ₹63
  9. 65
  10. 7
  11. 11 cm
  12. 7 cm
  13. 3/5
  14. 14 sq cm
  15. Thursday
  16. 0.062
  17. 111
  18. Monday
  19. 49 sq cm
  20. 4/5
  21. Monday
  22. 46 cm
  23. 5.09
  24. 25 sq cm
  25. 3
  26. 60
  27. 20 cm
  28. 6
  29. 63 min
  30. ₹48
  31. 3
  32. 6
  33. 7
  34. 6%
  35. 9%
  36. ₹252
  37. 7 cm
  38. 66 sq cm
  39. ₹560
  40. 83

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