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Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 809 · 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.What is the simple interest on ₹3500 at 10% per year for 2 years? (a) ₹4200 (b) ₹350 (c) ₹1050 (d) ₹700
  2. 2.What is the value of the digit 7 in 27.165? (a) 7 (b) 0.07 (c) 0.7 (d) 70
  3. 3.₹494 is shared between two friends in the ratio 4 : 9. How much is the bigger share? (a) ₹342 (b) ₹152 (c) ₹38 (d) ₹247
  4. 4.Which fraction is greater: 7/9 or 3/5? (a) 3/5 (b) They are equal (c) 7/9
  5. 5.Two bells ring every 10 minutes and every 15 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 30 min (b) 5 min (c) 150 min (d) 25 min
  6. 6.2.59 + 6.6 = ? (a) 9.29 (b) 9.19 (c) 9.09 (d) 3.25
  7. 7.What is the average of all the whole numbers from 6 to 18? (a) 6 (b) 11 (c) 12 (d) 13
  8. 8.A shopkeeper buys a toy for ₹700 and sells it for ₹560. What is his loss percent? (a) 20% (b) 21% (c) 15% (d) 25%
  9. 9.What is 60% of 80? (a) 480 (b) 48 (c) 96 (d) 32
  10. 10.In how many years will ₹3000 earn ₹1650 simple interest at 11% per year? (a) 10 years (b) 4 years (c) 5 years (d) 6 years
  11. 11.If 6x − 42 = 18, what is x? (a) 9 (b) 60 (c) 11 (d) 10
  12. 12.A square has a perimeter of 60 cm. What is its area? (a) 60 sq cm (b) 256 sq cm (c) 30 sq cm (d) 225 sq cm
  13. 13.A bag marked ₹680 is sold at a 15% discount. What is its selling price? (a) ₹102 (b) ₹665 (c) ₹782 (d) ₹578
  14. 14.What is the value of the digit 6 in 12.936? (a) 6 (b) 0.006 (c) 0.06 (d) 0.6
  15. 15.Two bells ring every 24 minutes and every 30 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 54 min (b) 6 min (c) 120 min (d) 720 min
  16. 16.₹54 is shared between two friends in the ratio 2 : 7. How much is the bigger share? (a) ₹12 (b) ₹42 (c) ₹27 (d) ₹6
  17. 17.3.24 + 3.2 = ? (a) 6.54 (b) 3.56 (c) 6.34 (d) 6.44
  18. 18.If 13 January is a Monday, what day of the week is 8 February? (a) Friday (b) Saturday (c) Monday (d) Sunday
  19. 19.What is the smallest number of sweets that can be shared equally among 16 children or among 28 children, with none left over? (a) 112 (b) 44 (c) 448 (d) 224
  20. 20.The simple interest on ₹8500 for 2 years is ₹510. What is the rate per year? (a) 6% (b) 3% (c) 4% (d) 2%
  21. 21.What is the remainder when 459 is divided by 11? (a) 7 (b) 8 (c) 3 (d) 9
  22. 22.Which of these numbers is divisible by 4? (a) 2915 (b) 2912 (c) 2918 (d) 2909
  23. 23.9.46 + 7.8 = ? (a) 17.36 (b) 17.16 (c) 10.24 (d) 17.26
  24. 24.A square has a perimeter of 28 cm. What is its area? (a) 64 sq cm (b) 28 sq cm (c) 14 sq cm (d) 49 sq cm
  25. 25.If 3 kites cost ₹42, how much do 11 kites cost? (a) ₹168 (b) ₹50 (c) ₹462 (d) ₹154
  26. 26.Every pair follows the same rule: 1 : 1, 5 : 125, 6 : 216. What is 4 : ? (a) 34 (b) 4 (c) 65 (d) 64
  27. 27.A rectangle is 7 cm long and 3 cm wide. What is its area? (a) 28 sq cm (b) 20 sq cm (c) 21 sq cm (d) 10 sq cm
  28. 28.Which fraction is greater: 3/10 or 1/8? (a) 3/10 (b) They are equal (c) 1/8
  29. 29.Every pair follows the same rule: 3 : 14, 5 : 22, 9 : 38. What is 8 : ? (a) 34 (b) 19 (c) 35 (d) 33
  30. 30.What is 60% of 240? (a) 144 (b) 1440 (c) 288 (d) 96
  31. 31.If 13 January is a Tuesday, what day of the week is 20 February? (a) Thursday (b) Friday (c) Sunday (d) Saturday
  32. 32.What is the average of 46, 35, 60 and 59? (a) 49 (b) 51 (c) 50 (d) 52
  33. 33.What is 4/5 of 15? (a) 15 (b) 13 (c) 12 (d) 3
  34. 34.4 workers can build a wall in 6 days. How many days will 3 workers take, working at the same speed? (a) 9 days (b) 7 days (c) 5 days (d) 8 days
  35. 35.What is the remainder when 123 is divided by 4? (a) 1 (b) 0 (c) 2 (d) 3
  36. 36.A rectangle has an area of 77 sq cm and a length of 11 cm. What is its width? (a) 8 cm (b) 14 cm (c) 66 cm (d) 7 cm
  37. 37.What is 30% of 280? (a) 196 (b) 840 (c) 168 (d) 84
  38. 38.Two ribbons are 56 cm and 64 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 4 cm (b) 56 cm (c) 448 cm (d) 8 cm
  39. 39.₹3500 is invested at 12% per year simple interest. What is the amount after 5 years? (a) ₹2100 (b) ₹3920 (c) ₹6020 (d) ₹5600
  40. 40.Two bells ring every 6 minutes and every 10 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 16 min (b) 60 min (c) 30 min (d) 2 min

Answer key

  1. ₹700
  2. 7
  3. ₹342
  4. 7/9
  5. 30 min
  6. 9.19
  7. 12
  8. 20%
  9. 48
  10. 5 years
  11. 10
  12. 225 sq cm
  13. ₹578
  14. 0.006
  15. 120 min
  16. ₹42
  17. 6.44
  18. Saturday
  19. 112
  20. 3%
  21. 8
  22. 2912
  23. 17.26
  24. 49 sq cm
  25. ₹154
  26. 64
  27. 21 sq cm
  28. 3/10
  29. 34
  30. 144
  31. Friday
  32. 50
  33. 12
  34. 8 days
  35. 3
  36. 7 cm
  37. 84
  38. 8 cm
  39. ₹5600
  40. 30 min

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