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Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 5 · 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 batter has an average of 31 runs in 9 matches. How many runs are needed in the next match to raise the average to 34? (a) 34 (b) 37 (c) 30 (d) 61
  2. 2.If 7x + 1 = 36, what is x? (a) 35 (b) 6 (c) 5 (d) 4
  3. 3.What is the units digit of 3^12? (a) 3 (b) 7 (c) 1 (d) 9
  4. 4.What is the smallest number of sweets that can be shared equally among 6 children or among 10 children, with none left over? (a) 31 (b) 16 (c) 30 (d) 60
  5. 5.A shopkeeper buys a toy for ₹300 and sells it for ₹285. What is his loss percent? (a) 15% (b) 10% (c) 6% (d) 5%
  6. 6.If 8 mangoes cost ₹176, how much do 2 mangoes cost? (a) ₹44 (b) ₹66 (c) ₹170 (d) ₹352
  7. 7.Today is Thursday. What day of the week will it be after 90 days? (a) Wednesday (b) Friday (c) Tuesday (d) Thursday
  8. 8.If 6x + 7 = 5x + 17, what is x? (a) 10 (b) 11 (c) 24 (d) 12
  9. 9.The average of 8 numbers is 35. When one number is taken away, the average of the rest is 30. Which number was taken away? (a) 35 (b) 65 (c) 40 (d) 70
  10. 10.4 workers can build a wall in 7 days. How many days will 2 workers take, working at the same speed? (a) 9 days (b) 14 days (c) 5 days (d) 15 days
  11. 11.A square has a perimeter of 36 cm. What is its area? (a) 81 sq cm (b) 36 sq cm (c) 18 sq cm (d) 100 sq cm
  12. 12.Which of these numbers is divisible by 11? (a) 2565 (b) 2584 (c) 2563 (d) 2558
  13. 13.Which fraction is greater: 1/7 or 3/11? (a) They are equal (b) 1/7 (c) 3/11
  14. 14.₹208 is shared between two friends in the ratio 4 : 9. How much is the bigger share? (a) ₹104 (b) ₹16 (c) ₹64 (d) ₹144
  15. 15.The simple interest on ₹7000 for 3 years is ₹420. What is the rate per year? (a) 1% (b) 3% (c) 2% (d) 6%
  16. 16.₹210 is shared between two friends in the ratio 1 : 9. How much is the bigger share? (a) ₹189 (b) ₹105 (c) ₹210 (d) ₹21
  17. 17.What is the value of the digit 3 in 17.346? (a) 0.003 (b) 3 (c) 0.3 (d) 0.03
  18. 18.If 5x + 10 = 3x + 32, what is x? (a) 21 (b) 11 (c) 13 (d) 12
  19. 19.Two bells ring every 6 minutes and every 15 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 21 min (b) 3 min (c) 30 min (d) 90 min
  20. 20.If 14 September is a Friday, what day of the week is 13 October? (a) Sunday (b) Saturday (c) Friday (d) Monday
  21. 21.4 workers can build a wall in 15 days. How many days will 6 workers take, working at the same speed? (a) 10 days (b) 13 days (c) 17 days (d) 11 days
  22. 22.6/9 + 4/6 = ? (a) 25/18 (b) 4/3 (c) 2/3 (d) 23/18
  23. 23.If 8x − 29 = 91, what is x? (a) 15 (b) 14 (c) 120 (d) 16
  24. 24.What is 25% of 740? (a) 185 (b) 370 (c) 555 (d) 1850
  25. 25.The simple interest on ₹4000 for 4 years is ₹1280. What is the rate per year? (a) 9% (b) 7% (c) 8% (d) 32%
  26. 26.What is 1/8 of 48? (a) 6 (b) 42 (c) 7 (d) 12
  27. 27.What is the value of the digit 5 in 63.875? (a) 0.005 (b) 0.05 (c) 0.5 (d) 5
  28. 28.In how many years will ₹4500 earn ₹720 simple interest at 8% per year? (a) 4 years (b) 2 years (c) 3 years (d) 1 year
  29. 29.What is the units digit of 3^53? (a) 7 (b) 9 (c) 1 (d) 3
  30. 30.What is the simple interest on ₹8500 at 11% per year for 3 years? (a) ₹935 (b) ₹2805 (c) ₹3740 (d) ₹11305
  31. 31.If 5 kites cost ₹35, how much do 6 kites cost? (a) ₹36 (b) ₹210 (c) ₹49 (d) ₹42
  32. 32.₹1500 is invested at 9% per year simple interest. What is the amount after 5 years? (a) ₹2175 (b) ₹2310 (c) ₹675 (d) ₹1635
  33. 33.What is the average of all the whole numbers from 25 to 49? (a) 24 (b) 12 (c) 38 (d) 37
  34. 34.₹372 is shared between two friends in the ratio 5 : 7. How much is the bigger share? (a) ₹186 (b) ₹31 (c) ₹155 (d) ₹217
  35. 35.In how many years will ₹4000 earn ₹640 simple interest at 8% per year? (a) 3 years (b) 2 years (c) 1 year (d) 4 years
  36. 36.What is the average of 44, 27, 53 and 40? (a) 42 (b) 40 (c) 43 (d) 41
  37. 37.2/8 + 2/8 = ? (a) 3/8 (b) 1/2 (c) 5/8 (d) 1/4
  38. 38.What is the value of the digit 8 in 13.498? (a) 8 (b) 0.008 (c) 0.08 (d) 0.8
  39. 39.If 10 November is a Wednesday, what day of the week is 17 December? (a) Friday (b) Saturday (c) Thursday (d) Sunday
  40. 40.Every pair follows the same rule: 2 : 11, 8 : 71, 9 : 88. What is 3 : ? (a) 16 (b) 15 (c) 12 (d) 17

Answer key

  1. 61
  2. 5
  3. 1
  4. 30
  5. 5%
  6. ₹44
  7. Wednesday
  8. 10
  9. 70
  10. 14 days
  11. 81 sq cm
  12. 2563
  13. 3/11
  14. ₹144
  15. 2%
  16. ₹189
  17. 0.3
  18. 11
  19. 30 min
  20. Saturday
  21. 10 days
  22. 4/3
  23. 15
  24. 185
  25. 8%
  26. 6
  27. 0.005
  28. 2 years
  29. 3
  30. ₹2805
  31. ₹42
  32. ₹2175
  33. 37
  34. ₹217
  35. 2 years
  36. 41
  37. 1/2
  38. 0.008
  39. Friday
  40. 16

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