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Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 106 · 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 4x + 20 = 2x + 40, what is x? (a) 11 (b) 10 (c) 30 (d) 12
  2. 2.If x/6 + 7 = 17, what is x? (a) 95 (b) 60 (c) 144 (d) 10
  3. 3.1/3 + 3/6 = ? (a) 1 (b) 4/9 (c) 2/3 (d) 5/6
  4. 4.A batter has an average of 26 runs in 6 matches. How many runs are needed in the next match to raise the average to 28? (a) 30 (b) 14 (c) 28 (d) 40
  5. 5.Two bells ring every 20 minutes and every 28 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 4 min (b) 560 min (c) 48 min (d) 140 min
  6. 6.A rectangle is 7 cm long and 3 cm wide. What is its perimeter? (a) 17 cm (b) 21 cm (c) 10 cm (d) 20 cm
  7. 7.In how many years will ₹4000 earn ₹1760 simple interest at 11% per year? (a) 5 years (b) 4 years (c) 3 years (d) 8 years
  8. 8.The average of 8 numbers is 20. When one number is taken away, the average of the rest is 17. Which number was taken away? (a) 41 (b) 20 (c) 37 (d) 24
  9. 9.If 4x + 14 = x + 50, what is x? (a) 14 (b) 11 (c) 12 (d) 13
  10. 10.A batter has an average of 23 runs in 4 matches. How many runs are needed in the next match to raise the average to 25? (a) 33 (b) 27 (c) 25 (d) 10
  11. 11.Which fraction is greater: 9/11 or 3/5? (a) They are equal (b) 3/5 (c) 9/11
  12. 12.3/7 + 1/2 = ? (a) 1 (b) 13/14 (c) 6/7 (d) 4/9
  13. 13.What is the average of all the whole numbers from 52 to 68? (a) 61 (b) 60 (c) 16 (d) 8
  14. 14.Which fraction is greater: 9/10 or 1/6? (a) They are equal (b) 1/6 (c) 9/10
  15. 15.A bag marked ₹260 is sold at a 10% discount. What is its selling price? (a) ₹286 (b) ₹26 (c) ₹250 (d) ₹234
  16. 16.Every pair follows the same rule: 3 : 18, 4 : 19, 5 : 20. What is 2 : ? (a) 16 (b) 17 (c) 18 (d) 12
  17. 17.Every pair follows the same rule: 3 : 8, 4 : 9, 7 : 12. What is 6 : ? (a) 10 (b) 13 (c) 11 (d) 12
  18. 18.In how many years will ₹9500 earn ₹3800 simple interest at 8% per year? (a) 4 years (b) 6 years (c) 5 years (d) 10 years
  19. 19.A rectangle is 12 cm long and 8 cm wide. What is its perimeter? (a) 20 cm (b) 32 cm (c) 40 cm (d) 96 cm
  20. 20.If 5x + 25 = 70, what is x? (a) 45 (b) 10 (c) 9 (d) 19
  21. 21.4/8 + 5/6 = ? (a) 4/3 (b) 9/14 (c) 31/24 (d) 11/8
  22. 22.Every pair follows the same rule: 5 : 19, 8 : 31, 9 : 35. What is 2 : ? (a) 16 (b) 6 (c) 8 (d) 7
  23. 23.The simple interest on ₹1000 for 2 years is ₹120. What is the rate per year? (a) 12% (b) 5% (c) 6% (d) 7%
  24. 24.Which of these numbers is divisible by 9? (a) 3751 (b) 3739 (c) 3760 (d) 3744
  25. 25.What is the average of all the whole numbers from 8 to 18? (a) 13 (b) 10 (c) 14 (d) 5
  26. 26.3/6 + 3/5 = ? (a) 6/11 (b) 17/15 (c) 11/10 (d) 16/15
  27. 27.If 23 January is a Wednesday, what day of the week is 10 February? (a) Monday (b) Tuesday (c) Saturday (d) Sunday
  28. 28.What is 40% of 580? (a) 464 (b) 2320 (c) 348 (d) 232
  29. 29.What is the units digit of 2^54? (a) 2 (b) 6 (c) 4 (d) 8
  30. 30.A square has a perimeter of 52 cm. What is its area? (a) 169 sq cm (b) 52 sq cm (c) 196 sq cm (d) 26 sq cm
  31. 31.If 28 August is a Friday, what day of the week is 18 September? (a) Thursday (b) Saturday (c) Sunday (d) Friday
  32. 32.Which of these numbers is divisible by 6? (a) 3132 (b) 3140 (c) 3131 (d) 3137
  33. 33.Two bells ring every 9 minutes and every 21 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 3 min (b) 30 min (c) 189 min (d) 63 min
  34. 34.What is the value of the digit 7 in 21.758? (a) 0.007 (b) 0.7 (c) 0.07 (d) 7
  35. 35.2/5 + 1/2 = ? (a) 3/7 (b) 9/10 (c) 4/5 (d) 1
  36. 36.1.89 + 8.1 = ? (a) 9.99 (b) 10.09 (c) 9.89 (d) 2.7
  37. 37.Every pair follows the same rule: 4 : 64, 5 : 125, 6 : 216. What is 1 : ? (a) 16 (b) 2 (c) 61 (d) 1
  38. 38.If 3 notebooks cost ₹66, how much do 2 notebooks cost? (a) ₹44 (b) ₹65 (c) ₹132 (d) ₹66
  39. 39.Every pair follows the same rule: 3 : 7, 4 : 14, 5 : 23. What is 7 : ? (a) 48 (b) 47 (c) 11 (d) 41
  40. 40.Today is Thursday. What day of the week will it be after 11 days? (a) Monday (b) Sunday (c) Tuesday (d) Wednesday

Answer key

  1. 10
  2. 60
  3. 5/6
  4. 40
  5. 140 min
  6. 20 cm
  7. 4 years
  8. 41
  9. 12
  10. 33
  11. 9/11
  12. 13/14
  13. 60
  14. 9/10
  15. ₹234
  16. 17
  17. 11
  18. 5 years
  19. 40 cm
  20. 9
  21. 4/3
  22. 7
  23. 6%
  24. 3744
  25. 13
  26. 11/10
  27. Sunday
  28. 232
  29. 4
  30. 169 sq cm
  31. Friday
  32. 3132
  33. 63 min
  34. 0.7
  35. 9/10
  36. 9.99
  37. 1
  38. ₹44
  39. 47
  40. Monday

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