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Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 416 · 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.Every pair follows the same rule: 4 : 19, 7 : 52, 9 : 84. What is 2 : ? (a) 8 (b) 7 (c) 17 (d) 6
  2. 2.A rectangle has an area of 98 sq cm and a length of 14 cm. What is its width? (a) 84 cm (b) 7 cm (c) 14 cm (d) 8 cm
  3. 3.What is the average of 24, 45, 35 and 20? (a) 30 (b) 32 (c) 31 (d) 33
  4. 4.What is 1/6 of 12? (a) 3 (b) 10 (c) 4 (d) 2
  5. 5.A teacher has 24 pencils and 36 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 12 (b) 72 (c) 6 (d) 24
  6. 6.2.14 + 3.2 = ? (a) 5.44 (b) 5.34 (c) 5.24 (d) 2.46
  7. 7.What is the average of all the whole numbers from 42 to 58? (a) 8 (b) 51 (c) 16 (d) 50
  8. 8.A bag marked ₹1500 is sold at a 40% discount. What is its selling price? (a) ₹1460 (b) ₹900 (c) ₹2100 (d) ₹600
  9. 9.If 5 December is a Friday, what day of the week is 14 December? (a) Tuesday (b) Saturday (c) Sunday (d) Monday
  10. 10.Which fraction is greater: 4/7 or 1/4? (a) 4/7 (b) They are equal (c) 1/4
  11. 11.What is the average of all the whole numbers from 12 to 26? (a) 14 (b) 20 (c) 19 (d) 7
  12. 12.The average of 4 numbers is 42. When one number is taken away, the average of the rest is 44. Which number was taken away? (a) 42 (b) 86 (c) 37 (d) 36
  13. 13.The simple interest on ₹9000 for 5 years is ₹1800. What is the rate per year? (a) 5% (b) 20% (c) 4% (d) 3%
  14. 14.₹7000 is invested at 2% per year simple interest. What is the amount after 4 years? (a) ₹7700 (b) ₹7560 (c) ₹7140 (d) ₹560
  15. 15.A rectangle is 6 cm long and 5 cm wide. What is its area? (a) 22 sq cm (b) 11 sq cm (c) 30 sq cm (d) 36 sq cm
  16. 16.In how many years will ₹3500 earn ₹1155 simple interest at 11% per year? (a) 6 years (b) 3 years (c) 4 years (d) 2 years
  17. 17.If x/5 + 5 = 17, what is x? (a) 110 (b) 12 (c) 80 (d) 60
  18. 18.What is the simple interest on ₹2500 at 9% per year for 2 years? (a) ₹2950 (b) ₹675 (c) ₹225 (d) ₹450
  19. 19.The simple interest on ₹1500 for 2 years is ₹240. What is the rate per year? (a) 16% (b) 8% (c) 7% (d) 9%
  20. 20.Two ribbons are 21 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) 1 cm (b) 21 cm (c) 28 cm (d) 7 cm
  21. 21.What is the simple interest on ₹10000 at 6% per year for 3 years? (a) ₹11800 (b) ₹2400 (c) ₹600 (d) ₹1800
  22. 22.If x/3 + 12 = 20, what is x? (a) 48 (b) 24 (c) 96 (d) 8
  23. 23.₹9000 is invested at 5% per year simple interest. What is the amount after 2 years? (a) ₹9900 (b) ₹900 (c) ₹9450 (d) ₹10350
  24. 24.What is 20% of 380? (a) 760 (b) 304 (c) 76 (d) 152
  25. 25.What is 75% of 720? (a) 1080 (b) 540 (c) 5400 (d) 180
  26. 26.In how many years will ₹8500 earn ₹1275 simple interest at 3% per year? (a) 4 years (b) 10 years (c) 5 years (d) 6 years
  27. 27.Today is Monday. What day of the week will it be after 17 days? (a) Thursday (b) Friday (c) Saturday (d) Wednesday
  28. 28.A rectangle has an area of 119 sq cm and a length of 17 cm. What is its width? (a) 14 cm (b) 102 cm (c) 8 cm (d) 7 cm
  29. 29.1/3 + 3/8 = ? (a) 2/3 (b) 4/11 (c) 3/4 (d) 17/24
  30. 30.Every pair follows the same rule: 2 : 13, 6 : 33, 8 : 43. What is 3 : ? (a) 14 (b) 17 (c) 18 (d) 19
  31. 31.Two bells ring every 12 minutes and every 20 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 60 min (b) 240 min (c) 32 min (d) 4 min
  32. 32.What is the value of the digit 8 in 31.875? (a) 0.08 (b) 8 (c) 0.8 (d) 0.008
  33. 33.Which of these numbers is divisible by 3? (a) 2686 (b) 2688 (c) 2689 (d) 2693
  34. 34.What is the smallest number of sweets that can be shared equally among 9 children or among 12 children, with none left over? (a) 72 (b) 108 (c) 21 (d) 36
  35. 35.A shopkeeper buys a toy for ₹360 and sells it for ₹414. What is his profit percent? (a) 20% (b) 54% (c) 10% (d) 15%
  36. 36.What is the smallest number you must add to 149 to make it divisible by 4? (a) 3 (b) 2 (c) 1
  37. 37.What is 30% of 700? (a) 2100 (b) 490 (c) 210 (d) 420
  38. 38.If x/5 + 9 = 12, what is x? (a) 51 (b) 105 (c) 15 (d) 3
  39. 39.If 9x + 24 = 150, what is x? (a) 13 (b) 14 (c) 126 (d) 15
  40. 40.If 2x + 30 = 42, what is x? (a) 6 (b) 7 (c) 12 (d) 36

Answer key

  1. 7
  2. 7 cm
  3. 31
  4. 2
  5. 12
  6. 5.34
  7. 50
  8. ₹900
  9. Sunday
  10. 4/7
  11. 19
  12. 36
  13. 4%
  14. ₹7560
  15. 30 sq cm
  16. 3 years
  17. 60
  18. ₹450
  19. 8%
  20. 7 cm
  21. ₹1800
  22. 24
  23. ₹9900
  24. 76
  25. 540
  26. 5 years
  27. Thursday
  28. 7 cm
  29. 17/24
  30. 18
  31. 60 min
  32. 0.8
  33. 2688
  34. 36
  35. 15%
  36. 3
  37. 210
  38. 15
  39. 14
  40. 6

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