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Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 625 · 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 8 notebooks cost ₹200, how much do 4 notebooks cost? (a) ₹125 (b) ₹196 (c) ₹100 (d) ₹800
  2. 2.7 workers can build a wall in 5 days. How many days will 5 workers take, working at the same speed? (a) 7 days (b) 8 days (c) 3 days (d) 6 days
  3. 3.A batter has an average of 30 runs in 4 matches. How many runs are needed in the next match to raise the average to 36? (a) 42 (b) 30 (c) 36 (d) 60
  4. 4.Every pair follows the same rule: 1 : 1, 5 : 125, 6 : 216. What is 2 : ? (a) 9 (b) 2 (c) 7 (d) 8
  5. 5.Every pair follows the same rule: 5 : 34, 6 : 45, 7 : 58. What is 8 : ? (a) 71 (b) 74 (c) 37 (d) 73
  6. 6.4.54 + 5.1 = ? (a) 9.54 (b) 9.74 (c) 5.05 (d) 9.64
  7. 7.1/3 + 1/2 = ? (a) 2/3 (b) 2/5 (c) 5/6 (d) 1
  8. 8.Which of these numbers is divisible by 3? (a) 947 (b) 942 (c) 940 (d) 944
  9. 9.₹4500 is invested at 9% per year simple interest. What is the amount after 3 years? (a) ₹6120 (b) ₹1215 (c) ₹5715 (d) ₹4905
  10. 10.What is the simple interest on ₹10000 at 12% per year for 3 years? (a) ₹3600 (b) ₹4800 (c) ₹13600 (d) ₹1200
  11. 11.If 3 July is a Monday, what day of the week is 19 July? (a) Tuesday (b) Friday (c) Thursday (d) Wednesday
  12. 12.If 8x + 23 = 119, what is x? (a) 12 (b) 11 (c) 96 (d) 13
  13. 13.If 2x − 10 = 2, what is x? (a) 7 (b) 5 (c) 6 (d) 12
  14. 14.Every pair follows the same rule: 3 : 8, 5 : 24, 6 : 35. What is 8 : ? (a) 13 (b) 57 (c) 63 (d) 64
  15. 15.Today is Sunday. What day of the week will it be after 83 days? (a) Sunday (b) Friday (c) Saturday (d) Monday
  16. 16.Two ribbons are 20 cm and 45 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 25 cm (b) 5 cm (c) 1 cm (d) 20 cm
  17. 17.If 20 January is a Saturday, what day of the week is 6 February? (a) Thursday (b) Monday (c) Tuesday (d) Wednesday
  18. 18.Today is Sunday. What day of the week will it be after 13 days? (a) Saturday (b) Monday (c) Sunday (d) Friday
  19. 19.If 5x − 8 = 27, what is x? (a) 8 (b) 35 (c) 6 (d) 7
  20. 20.Which is the smallest: 0.557, 0.65, 0.6, 0.034? (a) 0.557 (b) 0.65 (c) 0.6 (d) 0.034
  21. 21.A batter has an average of 29 runs in 4 matches. How many runs are needed in the next match to raise the average to 32? (a) 44 (b) 35 (c) 15 (d) 32
  22. 22.A bag marked ₹1400 is sold at a 40% discount. What is its selling price? (a) ₹840 (b) ₹560 (c) ₹1360 (d) ₹1960
  23. 23.What is 5/7 of 84? (a) 72 (b) 60 (c) 24 (d) 12
  24. 24.What is the simple interest on ₹3500 at 3% per year for 3 years? (a) ₹420 (b) ₹3815 (c) ₹315 (d) ₹105
  25. 25.Which is the smallest: 0.068, 0.42, 0.312, 0.4? (a) 0.068 (b) 0.42 (c) 0.312 (d) 0.4
  26. 26.If 6x + 2 = 62, what is x? (a) 60 (b) 9 (c) 11 (d) 10
  27. 27.A rectangle is 7 cm long and 6 cm wide. What is its area? (a) 26 sq cm (b) 13 sq cm (c) 42 sq cm (d) 49 sq cm
  28. 28.What is 20% of 260? (a) 208 (b) 104 (c) 52 (d) 520
  29. 29.What is 1/2 of 14? (a) 7 (b) 14 (c) 8 (d) 6
  30. 30.The average of 6 numbers is 44. When one number is taken away, the average of the rest is 45. Which number was taken away? (a) 89 (b) 39 (c) 44 (d) 40
  31. 31.If 7 mangoes cost ₹98, how much do 5 mangoes cost? (a) ₹96 (b) ₹70 (c) ₹490 (d) ₹84
  32. 32.Which fraction is greater: 2/11 or 6/7? (a) They are equal (b) 6/7 (c) 2/11
  33. 33.If 15 August is a Tuesday, what day of the week is 25 August? (a) Saturday (b) Friday (c) Sunday (d) Thursday
  34. 34.Every pair follows the same rule: 2 : 8, 4 : 64, 6 : 216. What is 3 : ? (a) 28 (b) 27 (c) 12 (d) 9
  35. 35.What is the units digit of 2^43? (a) 2 (b) 8 (c) 4 (d) 6
  36. 36.If 7x + 21 = 63, what is x? (a) 12 (b) 42 (c) 7 (d) 6
  37. 37.7 workers can build a wall in 12 days. How many days will 2 workers take, working at the same speed? (a) 43 days (b) 7 days (c) 17 days (d) 42 days
  38. 38.Which of these numbers is divisible by 8? (a) 3343 (b) 3348 (c) 3336 (d) 3329
  39. 39.Which of these numbers is divisible by 11? (a) 4371 (b) 4356 (c) 4359 (d) 4354
  40. 40.If 7x − 4 = 87, what is x? (a) 13 (b) 14 (c) 12 (d) 91

Answer key

  1. ₹100
  2. 7 days
  3. 60
  4. 8
  5. 73
  6. 9.64
  7. 5/6
  8. 942
  9. ₹5715
  10. ₹3600
  11. Wednesday
  12. 12
  13. 6
  14. 63
  15. Saturday
  16. 5 cm
  17. Tuesday
  18. Saturday
  19. 7
  20. 0.034
  21. 44
  22. ₹840
  23. 60
  24. ₹315
  25. 0.068
  26. 10
  27. 42 sq cm
  28. 52
  29. 7
  30. 39
  31. ₹70
  32. 6/7
  33. Friday
  34. 27
  35. 8
  36. 6
  37. 42 days
  38. 3336
  39. 4356
  40. 13

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