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Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 692 · 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. 1.1/3 + 5/6 = ? (a) 4/3 (b) 7/6 (c) 1 (d) 2/3
  2. 2.1/7 + 3/4 = ? (a) 25/28 (b) 6/7 (c) 4/11 (d) 13/14
  3. 3.A bag marked ₹720 is sold at a 15% discount. What is its selling price? (a) ₹828 (b) ₹705 (c) ₹108 (d) ₹612
  4. 4.A square has a perimeter of 24 cm. What is its area? (a) 12 sq cm (b) 36 sq cm (c) 24 sq cm (d) 49 sq cm
  5. 5.What is 40% of 700? (a) 2800 (b) 420 (c) 560 (d) 280
  6. 6.What is the average of 36, 23, 43 and 22? (a) 30 (b) 32 (c) 33 (d) 31
  7. 7.Two ribbons are 20 cm and 90 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 10 cm (b) 20 cm (c) 70 cm (d) 5 cm
  8. 8.Which fraction is greater: 7/9 or 1/10? (a) 7/9 (b) 1/10 (c) They are equal
  9. 9.Which fraction is greater: 3/11 or 5/8? (a) 3/11 (b) 5/8 (c) They are equal
  10. 10.What is the simple interest on ₹3500 at 12% per year for 2 years? (a) ₹840 (b) ₹4340 (c) ₹1260 (d) ₹420
  11. 11.Which fraction is greater: 3/10 or 1/4? (a) 3/10 (b) They are equal (c) 1/4
  12. 12.Every pair follows the same rule: 3 : 9, 4 : 16, 8 : 64. What is 2 : ? (a) 4 (b) 8 (c) 5 (d) 6
  13. 13.Every pair follows the same rule: 1 : 1, 5 : 125, 6 : 216. What is 4 : ? (a) 64 (b) 4 (c) 34 (d) 65
  14. 14.Which fraction is greater: 1/4 or 7/8? (a) 7/8 (b) 1/4 (c) They are equal
  15. 15.What is the smallest number of sweets that can be shared equally among 10 children or among 15 children, with none left over? (a) 60 (b) 150 (c) 25 (d) 30
  16. 16.What is 50% of 180? (a) 90 (b) 180 (c) 900 (d) 91
  17. 17.What is the average of all the whole numbers from 8 to 24? (a) 17 (b) 8 (c) 16 (d) 15
  18. 18.What is 5% of 120? (a) 6 (b) 114 (c) 12 (d) 60
  19. 19.What is the simple interest on ₹4500 at 4% per year for 3 years? (a) ₹180 (b) ₹540 (c) ₹5040 (d) ₹720
  20. 20.What is 3/4 of 12? (a) 12 (b) 10 (c) 3 (d) 9
  21. 21.6 workers can build a wall in 11 days. How many days will 11 workers take, working at the same speed? (a) 16 days (b) 5 days (c) 6 days (d) 7 days
  22. 22.A rectangle has an area of 114 sq cm and a length of 19 cm. What is its width? (a) 95 cm (b) 6 cm (c) 7 cm (d) 12 cm
  23. 23.What is the simple interest on ₹5000 at 5% per year for 2 years? (a) ₹500 (b) ₹750 (c) ₹5500 (d) ₹250
  24. 24.Which fraction is greater: 1/3 or 1/9? (a) 1/9 (b) 1/3 (c) They are equal
  25. 25.A teacher has 40 pencils and 72 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 4 (b) 40 (c) 8 (d) 32
  26. 26.₹9500 is invested at 5% per year simple interest. What is the amount after 2 years? (a) ₹10450 (b) ₹9975 (c) ₹950 (d) ₹10925
  27. 27.Two ribbons are 50 cm and 90 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 5 cm (b) 40 cm (c) 50 cm (d) 10 cm
  28. 28.If 26 January is a Sunday, what day of the week is 11 February? (a) Tuesday (b) Thursday (c) Monday (d) Wednesday
  29. 29.The simple interest on ₹4000 for 4 years is ₹1120. What is the rate per year? (a) 7% (b) 6% (c) 8% (d) 28%
  30. 30.4.52 + 2.8 = ? (a) 4.8 (b) 7.42 (c) 7.22 (d) 7.32
  31. 31.What is the units digit of 7^35? (a) 7 (b) 3 (c) 9 (d) 1
  32. 32.What is the simple interest on ₹3000 at 6% per year for 3 years? (a) ₹720 (b) ₹540 (c) ₹3540 (d) ₹180
  33. 33.Which is the greatest: 0.24, 0.157, 0.022, 0.2? (a) 0.24 (b) 0.157 (c) 0.022 (d) 0.2
  34. 34.What is the simple interest on ₹3000 at 11% per year for 2 years? (a) ₹990 (b) ₹3660 (c) ₹660 (d) ₹330
  35. 35.If 7 pens cost ₹84, how much do 6 pens cost? (a) ₹84 (b) ₹72 (c) ₹83 (d) ₹504
  36. 36.₹4000 is invested at 6% per year simple interest. What is the amount after 3 years? (a) ₹4960 (b) ₹4240 (c) ₹4720 (d) ₹720
  37. 37.What is the smallest number of sweets that can be shared equally among 8 children or among 12 children, with none left over? (a) 96 (b) 48 (c) 20 (d) 24
  38. 38.The average of 5 numbers is 31. When one number is taken away, the average of the rest is 28. Which number was taken away? (a) 43 (b) 31 (c) 59 (d) 15
  39. 39.What is the smallest number you must add to 51 to make it divisible by 4? (a) 3 (b) 2 (c) 1
  40. 40.If 2 kites cost ₹8, how much do 10 kites cost? (a) ₹16 (b) ₹80 (c) ₹44 (d) ₹40

Answer key

  1. 7/6
  2. 25/28
  3. ₹612
  4. 36 sq cm
  5. 280
  6. 31
  7. 10 cm
  8. 7/9
  9. 5/8
  10. ₹840
  11. 3/10
  12. 4
  13. 64
  14. 7/8
  15. 30
  16. 90
  17. 16
  18. 6
  19. ₹540
  20. 9
  21. 6 days
  22. 6 cm
  23. ₹500
  24. 1/3
  25. 8
  26. ₹10450
  27. 10 cm
  28. Tuesday
  29. 7%
  30. 7.32
  31. 3
  32. ₹540
  33. 0.24
  34. ₹660
  35. ₹72
  36. ₹4720
  37. 24
  38. 43
  39. 1
  40. ₹40

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