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Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 481 · 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. 1.1/5 + 2/6 = ? (a) 1/2 (b) 3/11 (c) 8/15 (d) 17/30
  2. 2.2.04 + 1.9 = ? (a) 3.84 (b) 3.94 (c) 2.23 (d) 4.04
  3. 3.What is the units digit of 7^44? (a) 9 (b) 1 (c) 7 (d) 3
  4. 4.₹5000 is invested at 3% per year simple interest. What is the amount after 4 years? (a) ₹5750 (b) ₹5600 (c) ₹600 (d) ₹5150
  5. 5.Two bells ring every 4 minutes and every 6 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 24 min (b) 10 min (c) 12 min (d) 2 min
  6. 6.Every pair follows the same rule: 3 : 11, 6 : 38, 7 : 51. What is 8 : ? (a) 67 (b) 16 (c) 64 (d) 66
  7. 7.The average of 4 numbers is 22. When one number is taken away, the average of the rest is 20. Which number was taken away? (a) 8 (b) 22 (c) 28 (d) 42
  8. 8.8 workers can build a wall in 7 days. How many days will 7 workers take, working at the same speed? (a) 8 days (b) 9 days (c) 6 days (d) 7 days
  9. 9.In how many years will ₹4500 earn ₹450 simple interest at 2% per year? (a) 5 years (b) 6 years (c) 10 years (d) 4 years
  10. 10.If 12 September is a Thursday, what day of the week is 14 October? (a) Tuesday (b) Monday (c) Wednesday (d) Sunday
  11. 11.Which is the smallest: 0.33, 0.247, 0.031, 0.3? (a) 0.33 (b) 0.247 (c) 0.031 (d) 0.3
  12. 12.A rectangle has an area of 204 sq cm and a length of 17 cm. What is its width? (a) 12 cm (b) 24 cm (c) 187 cm (d) 13 cm
  13. 13.Which of these numbers is divisible by 4? (a) 2983 (b) 2986 (c) 2990 (d) 2984
  14. 14.What is 15% of 820? (a) 697 (b) 246 (c) 1230 (d) 123
  15. 15.What is the smallest number of sweets that can be shared equally among 10 children or among 25 children, with none left over? (a) 50 (b) 250 (c) 100 (d) 35
  16. 16.What is the simple interest on ₹8500 at 3% per year for 5 years? (a) ₹255 (b) ₹9775 (c) ₹1530 (d) ₹1275
  17. 17.If 4x + 18 = 66, what is x? (a) 21 (b) 13 (c) 48 (d) 12
  18. 18.What is the average of all the whole numbers from 9 to 49? (a) 40 (b) 30 (c) 29 (d) 20
  19. 19.A rectangle is 8 cm long and 3 cm wide. What is its area? (a) 24 sq cm (b) 11 sq cm (c) 32 sq cm (d) 22 sq cm
  20. 20.What is the simple interest on ₹6000 at 2% per year for 3 years? (a) ₹480 (b) ₹6360 (c) ₹120 (d) ₹360
  21. 21.2.03 + 5.3 = ? (a) 2.56 (b) 7.43 (c) 7.23 (d) 7.33
  22. 22.If 6 mangoes cost ₹144, how much do 2 mangoes cost? (a) ₹72 (b) ₹140 (c) ₹48 (d) ₹288
  23. 23.What is the smallest number you must add to 345 to make it divisible by 10? (a) 6 (b) 7 (c) 5 (d) 4
  24. 24.Every pair follows the same rule: 4 : 14, 6 : 16, 9 : 19. What is 5 : ? (a) 17 (b) 14 (c) 15 (d) 16
  25. 25.2/5 + 4/7 = ? (a) 1 (b) 1/2 (c) 33/35 (d) 34/35
  26. 26.A bag marked ₹1560 is sold at a 25% discount. What is its selling price? (a) ₹1535 (b) ₹1950 (c) ₹1170 (d) ₹390
  27. 27.If 11 January is a Sunday, what day of the week is 27 January? (a) Tuesday (b) Thursday (c) Monday (d) Wednesday
  28. 28.A shopkeeper buys a toy for ₹140 and sells it for ₹84. What is his loss percent? (a) 40% (b) 35% (c) 45% (d) 56%
  29. 29.What is 5/8 of 56? (a) 42 (b) 7 (c) 35 (d) 21
  30. 30.If x/2 + 3 = 9, what is x? (a) 6 (b) 12 (c) 15 (d) 24
  31. 31.A shopkeeper buys a toy for ₹720 and sells it for ₹432. What is his loss percent? (a) 40% (b) 45% (c) 35% (d) 41%
  32. 32.What is the simple interest on ₹4000 at 2% per year for 5 years? (a) ₹400 (b) ₹4400 (c) ₹80 (d) ₹480
  33. 33.Every pair follows the same rule: 3 : 8, 8 : 63, 9 : 80. What is 6 : ? (a) 29 (b) 11 (c) 36 (d) 35
  34. 34.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
  35. 35.₹7000 is invested at 2% per year simple interest. What is the amount after 3 years? (a) ₹7140 (b) ₹7560 (c) ₹420 (d) ₹7420
  36. 36.In how many years will ₹5500 earn ₹1925 simple interest at 7% per year? (a) 6 years (b) 10 years (c) 5 years (d) 4 years
  37. 37.What is the value of the digit 3 in 39.824? (a) 30 (b) 3 (c) 0.03 (d) 0.3
  38. 38.3/4 + 2/3 = ? (a) 3/2 (b) 5/7 (c) 17/12 (d) 4/3
  39. 39.Today is Saturday. What day of the week will it be after 86 days? (a) Sunday (b) Wednesday (c) Monday (d) Tuesday
  40. 40.What is the units digit of 9^31? (a) 8 (b) 1 (c) 9 (d) 7

Answer key

  1. 8/15
  2. 3.94
  3. 1
  4. ₹5600
  5. 12 min
  6. 66
  7. 28
  8. 8 days
  9. 5 years
  10. Monday
  11. 0.031
  12. 12 cm
  13. 2984
  14. 123
  15. 50
  16. ₹1275
  17. 12
  18. 29
  19. 24 sq cm
  20. ₹360
  21. 7.33
  22. ₹48
  23. 5
  24. 15
  25. 34/35
  26. ₹1170
  27. Tuesday
  28. 40%
  29. 35
  30. 12
  31. 40%
  32. ₹400
  33. 35
  34. 36 sq cm
  35. ₹7420
  36. 5 years
  37. 30
  38. 17/12
  39. Monday
  40. 9

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