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Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 16 · 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.If 9 kites cost ₹54, how much do 2 kites cost? (a) ₹47 (b) ₹108 (c) ₹18 (d) ₹12
  2. 2.Which is the greatest: 0.63, 0.6, 0.015, 0.521? (a) 0.63 (b) 0.6 (c) 0.015 (d) 0.521
  3. 3.A rectangle has an area of 126 sq cm and a length of 18 cm. What is its width? (a) 108 cm (b) 14 cm (c) 7 cm (d) 8 cm
  4. 4.Which is the greatest: 0.678, 0.038, 0.7, 0.77? (a) 0.678 (b) 0.038 (c) 0.7 (d) 0.77
  5. 5.Which of these numbers is divisible by 9? (a) 7385 (b) 7375 (c) 7390 (d) 7380
  6. 6.Every pair follows the same rule: 4 : 27, 6 : 37, 7 : 42. What is 9 : ? (a) 51 (b) 32 (c) 52 (d) 53
  7. 7.Which fraction is greater: 2/3 or 2/11? (a) 2/3 (b) 2/11 (c) They are equal
  8. 8.2.41 + 2.1 = ? (a) 4.51 (b) 2.62 (c) 4.41 (d) 4.61
  9. 9.If 19 January is a Saturday, what day of the week is 11 February? (a) Monday (b) Sunday (c) Wednesday (d) Tuesday
  10. 10.What is the simple interest on ₹10000 at 3% per year for 2 years? (a) ₹900 (b) ₹300 (c) ₹10600 (d) ₹600
  11. 11.If 6 mangoes cost ₹120, how much do 4 mangoes cost? (a) ₹100 (b) ₹118 (c) ₹80 (d) ₹480
  12. 12.Which fraction is greater: 5/9 or 3/5? (a) 5/9 (b) They are equal (c) 3/5
  13. 13.9.42 + 7.4 = ? (a) 16.82 (b) 10.16 (c) 16.92 (d) 16.72
  14. 14.What is the remainder when 139 is divided by 6? (a) 5 (b) 1 (c) 2 (d) 0
  15. 15.What is the average of all the whole numbers from 6 to 26? (a) 10 (b) 20 (c) 17 (d) 16
  16. 16.What is the value of the digit 4 in 24.153? (a) 0.4 (b) 0.04 (c) 40 (d) 4
  17. 17.A bag marked ₹680 is sold at a 50% discount. What is its selling price? (a) ₹1020 (b) ₹341 (c) ₹340 (d) ₹630
  18. 18.Two bells ring every 15 minutes and every 21 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 36 min (b) 315 min (c) 3 min (d) 105 min
  19. 19.What is the remainder when 305 is divided by 10? (a) 7 (b) 4 (c) 5 (d) 6
  20. 20.If 3 kites cost ₹57, how much do 4 kites cost? (a) ₹95 (b) ₹76 (c) ₹228 (d) ₹58
  21. 21.Which fraction is greater: 9/10 or 2/3? (a) 9/10 (b) They are equal (c) 2/3
  22. 22.Two ribbons are 24 cm and 28 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 2 cm (b) 24 cm (c) 168 cm (d) 4 cm
  23. 23.The average of 5 numbers is 10. When one number is taken away, the average of the rest is 11. Which number was taken away? (a) 10 (b) 7 (c) 6 (d) 21
  24. 24.If x/4 + 9 = 12, what is x? (a) 3 (b) 84 (c) 12 (d) 39
  25. 25.A rectangle has an area of 28 sq cm and a length of 14 cm. What is its width? (a) 14 cm (b) 4 cm (c) 2 cm (d) 3 cm
  26. 26.If 7x − 1 = 69, what is x? (a) 70 (b) 9 (c) 10 (d) 11
  27. 27.₹2000 is invested at 12% per year simple interest. What is the amount after 4 years? (a) ₹2240 (b) ₹3200 (c) ₹2960 (d) ₹960
  28. 28.If 9 July is a Tuesday, what day of the week is 17 July? (a) Tuesday (b) Friday (c) Thursday (d) Wednesday
  29. 29.A teacher has 9 pencils and 21 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 12 (b) 9 (c) 3 (d) 1
  30. 30.The simple interest on ₹8500 for 3 years is ₹1785. What is the rate per year? (a) 6% (b) 21% (c) 8% (d) 7%
  31. 31.If 6x − 20 = 16, what is x? (a) 5 (b) 36 (c) 7 (d) 6
  32. 32.Every pair follows the same rule: 3 : 5, 7 : 13, 9 : 17. What is 8 : ? (a) 14 (b) 10 (c) 16 (d) 15
  33. 33.A rectangle has an area of 143 sq cm and a length of 13 cm. What is its width? (a) 130 cm (b) 11 cm (c) 22 cm (d) 12 cm
  34. 34.A shopkeeper buys a toy for ₹200 and sells it for ₹140. What is his loss percent? (a) 60% (b) 30% (c) 25% (d) 35%
  35. 35.What is the simple interest on ₹7500 at 11% per year for 3 years? (a) ₹9975 (b) ₹3300 (c) ₹825 (d) ₹2475
  36. 36.A teacher has 44 pencils and 99 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 44 (b) 1 (c) 11 (d) 55
  37. 37.1/4 + 3/8 = ? (a) 1/3 (b) 5/8 (c) 3/4 (d) 1/2
  38. 38.What is the average of 42, 49, 36, 55 and 63? (a) 48 (b) 50 (c) 51 (d) 49
  39. 39.Every pair follows the same rule: 3 : 15, 4 : 20, 5 : 25. What is 9 : ? (a) 21 (b) 44 (c) 45 (d) 46
  40. 40.What is the smallest number you must add to 154 to make it divisible by 3? (a) 1 (b) 2

Answer key

  1. ₹12
  2. 0.63
  3. 7 cm
  4. 0.77
  5. 7380
  6. 52
  7. 2/3
  8. 4.51
  9. Monday
  10. ₹600
  11. ₹80
  12. 3/5
  13. 16.82
  14. 1
  15. 16
  16. 4
  17. ₹340
  18. 105 min
  19. 5
  20. ₹76
  21. 9/10
  22. 4 cm
  23. 6
  24. 12
  25. 2 cm
  26. 10
  27. ₹2960
  28. Wednesday
  29. 3
  30. 7%
  31. 6
  32. 15
  33. 11 cm
  34. 30%
  35. ₹2475
  36. 11
  37. 5/8
  38. 49
  39. 45
  40. 2

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