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Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 64 · 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 17 cm long and 9 cm wide. What is its perimeter? (a) 52 cm (b) 153 cm (c) 26 cm (d) 43 cm
  2. 2.If 2 pens cost ₹50, how much do 5 pens cost? (a) ₹125 (b) ₹150 (c) ₹250 (d) ₹53
  3. 3.If 7x − 10 = 95, what is x? (a) 14 (b) 105 (c) 16 (d) 15
  4. 4.What is the smallest number you must add to 446 to make it divisible by 7? (a) 2 (b) 5 (c) 3 (d) 1
  5. 5.Which is the greatest: 0.58, 0.032, 0.473, 0.5? (a) 0.58 (b) 0.032 (c) 0.473 (d) 0.5
  6. 6.The simple interest on ₹4500 for 5 years is ₹1575. What is the rate per year? (a) 6% (b) 8% (c) 7% (d) 35%
  7. 7.What is 20% of 1000? (a) 400 (b) 200 (c) 2000 (d) 800
  8. 8.A square has a perimeter of 32 cm. What is its area? (a) 16 sq cm (b) 32 sq cm (c) 81 sq cm (d) 64 sq cm
  9. 9.A batter has an average of 46 runs in 5 matches. How many runs are needed in the next match to raise the average to 52? (a) 82 (b) 52 (c) 36 (d) 58
  10. 10.What is the simple interest on ₹6500 at 7% per year for 2 years? (a) ₹7410 (b) ₹910 (c) ₹1365 (d) ₹455
  11. 11.A rectangle has an area of 91 sq cm and a length of 13 cm. What is its width? (a) 78 cm (b) 14 cm (c) 7 cm (d) 8 cm
  12. 12.₹217 is shared between two friends in the ratio 3 : 4. How much is the bigger share? (a) ₹155 (b) ₹124 (c) ₹93 (d) ₹31
  13. 13.If 9 August is a Friday, what day of the week is 17 August? (a) Friday (b) Sunday (c) Saturday (d) Monday
  14. 14.What is 1/4 of 44? (a) 33 (b) 11 (c) 22 (d) 12
  15. 15.What is 2/3 of 18? (a) 6 (b) 13 (c) 18 (d) 12
  16. 16.6 workers can build a wall in 9 days. How many days will 2 workers take, working at the same speed? (a) 13 days (b) 5 days (c) 27 days (d) 3 days
  17. 17.8.99 + 5.1 = ? (a) 9.5 (b) 14.09 (c) 13.99 (d) 14.19
  18. 18.A shopkeeper buys a toy for ₹840 and sells it for ₹882. What is his profit percent? (a) 5% (b) 6% (c) 42% (d) 10%
  19. 19.A shopkeeper buys a toy for ₹200 and sells it for ₹230. What is his profit percent? (a) 30% (b) 20% (c) 10% (d) 15%
  20. 20.A bag marked ₹1220 is sold at a 20% discount. What is its selling price? (a) ₹1200 (b) ₹976 (c) ₹244 (d) ₹1464
  21. 21.If 11 March is a Friday, what day of the week is 20 March? (a) Saturday (b) Tuesday (c) Sunday (d) Monday
  22. 22.Which of these numbers is divisible by 9? (a) 5680 (b) 5666 (c) 5670 (d) 5677
  23. 23.What is 50% of 400? (a) 400 (b) 2000 (c) 201 (d) 200
  24. 24.What is the average of all the whole numbers from 23 to 33? (a) 29 (b) 5 (c) 10 (d) 28
  25. 25.What is 5% of 960? (a) 912 (b) 96 (c) 480 (d) 48
  26. 26.What is the simple interest on ₹5000 at 12% per year for 3 years? (a) ₹2400 (b) ₹1800 (c) ₹600 (d) ₹6800
  27. 27.Two bells ring every 10 minutes and every 25 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 50 min (b) 5 min (c) 35 min (d) 250 min
  28. 28.Every pair follows the same rule: 3 : 19, 6 : 34, 8 : 44. What is 4 : ? (a) 23 (b) 25 (c) 24 (d) 20
  29. 29.A rectangle has an area of 33 sq cm and a length of 11 cm. What is its width? (a) 6 cm (b) 4 cm (c) 3 cm (d) 22 cm
  30. 30.Two ribbons are 24 cm and 56 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 32 cm (b) 8 cm (c) 4 cm (d) 24 cm
  31. 31.The average of 4 numbers is 17. When one number is taken away, the average of the rest is 13. Which number was taken away? (a) 29 (b) 17 (c) 30 (d) 16
  32. 32.Which of these numbers is divisible by 4? (a) 1795 (b) 1786 (c) 1788 (d) 1789
  33. 33.What is the remainder when 452 is divided by 7? (a) 3 (b) 6 (c) 5 (d) 4
  34. 34.Which is the smallest: 0.095, 0.77, 0.619, 0.7? (a) 0.095 (b) 0.77 (c) 0.619 (d) 0.7
  35. 35.Two ribbons are 72 cm and 84 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 72 cm (b) 504 cm (c) 6 cm (d) 12 cm
  36. 36.A batter has an average of 57 runs in 7 matches. How many runs are needed in the next match to raise the average to 60? (a) 24 (b) 81 (c) 63 (d) 60
  37. 37.A rectangle has an area of 20 sq cm and a length of 10 cm. What is its width? (a) 4 cm (b) 10 cm (c) 3 cm (d) 2 cm
  38. 38.A shopkeeper buys a toy for ₹380 and sells it for ₹532. What is his profit percent? (a) 35% (b) 40% (c) 45% (d) 41%
  39. 39.₹306 is shared between two friends in the ratio 2 : 7. How much is the bigger share? (a) ₹238 (b) ₹68 (c) ₹34 (d) ₹153
  40. 40.If 4x − 14 = 2, what is x? (a) 4 (b) 16 (c) 3 (d) 5

Answer key

  1. 52 cm
  2. ₹125
  3. 15
  4. 2
  5. 0.58
  6. 7%
  7. 200
  8. 64 sq cm
  9. 82
  10. ₹910
  11. 7 cm
  12. ₹124
  13. Saturday
  14. 11
  15. 12
  16. 27 days
  17. 14.09
  18. 5%
  19. 15%
  20. ₹976
  21. Sunday
  22. 5670
  23. 200
  24. 28
  25. 48
  26. ₹1800
  27. 50 min
  28. 24
  29. 3 cm
  30. 8 cm
  31. 29
  32. 1788
  33. 4
  34. 0.095
  35. 12 cm
  36. 81
  37. 2 cm
  38. 40%
  39. ₹238
  40. 4

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