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Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 399 · 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.What is the smallest number of sweets that can be shared equally among 10 children or among 14 children, with none left over? (a) 24 (b) 70 (c) 71 (d) 140
  2. 2.If 10 September is a Monday, what day of the week is 11 October? (a) Saturday (b) Wednesday (c) Thursday (d) Friday
  3. 3.Two bells ring every 20 minutes and every 35 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 700 min (b) 55 min (c) 5 min (d) 140 min
  4. 4.A teacher has 6 pencils and 9 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 1 (b) 18 (c) 3 (d) 6
  5. 5.What is 4/5 of 50? (a) 41 (b) 10 (c) 50 (d) 40
  6. 6.Every pair follows the same rule: 6 : 9, 7 : 10, 8 : 11. What is 3 : ? (a) 7 (b) 5 (c) 8 (d) 6
  7. 7.Which is the smallest: 0.052, 0.31, 0.3, 0.291? (a) 0.052 (b) 0.31 (c) 0.3 (d) 0.291
  8. 8.3/6 + 1/4 = ? (a) 2/3 (b) 5/6 (c) 3/4 (d) 2/5
  9. 9.What is the remainder when 92 is divided by 6? (a) 1 (b) 4 (c) 3 (d) 2
  10. 10.1.36 + 9.2 = ? (a) 10.46 (b) 10.66 (c) 2.28 (d) 10.56
  11. 11.Every pair follows the same rule: 3 : 21, 8 : 56, 9 : 63. What is 6 : ? (a) 24 (b) 43 (c) 41 (d) 42
  12. 12.A shopkeeper buys a toy for ₹740 and sells it for ₹888. What is his profit percent? (a) 20% (b) 25% (c) 15% (d) 21%
  13. 13.₹658 is shared between two friends in the ratio 5 : 9. How much is the bigger share? (a) ₹235 (b) ₹329 (c) ₹423 (d) ₹47
  14. 14.The average of 8 numbers is 18. When one number is taken away, the average of the rest is 15. Which number was taken away? (a) 18 (b) 39 (c) 33 (d) 24
  15. 15.A batter has an average of 46 runs in 3 matches. How many runs are needed in the next match to raise the average to 50? (a) 50 (b) 54 (c) 16 (d) 62
  16. 16.7.76 + 8.4 = ? (a) 8.6 (b) 16.26 (c) 16.16 (d) 16.06
  17. 17.A shopkeeper buys a toy for ₹840 and sells it for ₹672. What is his loss percent? (a) 15% (b) 25% (c) 20% (d) 21%
  18. 18.4.97 + 2.1 = ? (a) 6.97 (b) 7.17 (c) 7.07 (d) 5.18
  19. 19.Which fraction is greater: 3/4 or 7/12? (a) 7/12 (b) They are equal (c) 3/4
  20. 20.What is the value of the digit 8 in 65.183? (a) 0.08 (b) 8 (c) 0.8 (d) 0.008
  21. 21.What is the units digit of 3^44? (a) 1 (b) 3 (c) 7 (d) 9
  22. 22.Two bells ring every 12 minutes and every 15 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 60 min (b) 180 min (c) 27 min (d) 3 min
  23. 23.Which of these numbers is divisible by 9? (a) 7884 (b) 7885 (c) 7896 (d) 7876
  24. 24.Every pair follows the same rule: 2 : 4, 6 : 12, 9 : 18. What is 3 : ? (a) 6 (b) 7 (c) 5 (d) 8
  25. 25.What is the remainder when 215 is divided by 7? (a) 6 (b) 4 (c) 5 (d) 2
  26. 26.Which fraction is greater: 5/6 or 1/3? (a) They are equal (b) 1/3 (c) 5/6
  27. 27.Which of these numbers is divisible by 6? (a) 299 (b) 307 (c) 300 (d) 305
  28. 28.A bag marked ₹1980 is sold at a 30% discount. What is its selling price? (a) ₹1386 (b) ₹594 (c) ₹1950 (d) ₹2574
  29. 29.Every pair follows the same rule: 2 : 9, 4 : 11, 7 : 14. What is 9 : ? (a) 16 (b) 17 (c) 15 (d) 18
  30. 30.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
  31. 31.A rectangle is 19 cm long and 3 cm wide. What is its perimeter? (a) 57 cm (b) 22 cm (c) 41 cm (d) 44 cm
  32. 32.If 8x + 8 = 6x + 30, what is x? (a) 19 (b) 13 (c) 12 (d) 11
  33. 33.What is the units digit of 9^12? (a) 9 (b) 1 (c) 2 (d) 0
  34. 34.₹7000 is invested at 5% per year simple interest. What is the amount after 2 years? (a) ₹8050 (b) ₹7350 (c) ₹7700 (d) ₹700
  35. 35.What is the units digit of 2^10? (a) 2 (b) 8 (c) 6 (d) 4
  36. 36.Which of these numbers is divisible by 8? (a) 6760 (b) 6762 (c) 6759 (d) 6775
  37. 37.In how many years will ₹3000 earn ₹240 simple interest at 4% per year? (a) 4 years (b) 3 years (c) 2 years (d) 1 year
  38. 38.What is the average of all the whole numbers from 49 to 85? (a) 68 (b) 67 (c) 36 (d) 18
  39. 39.If 9x − 26 = 28, what is x? (a) 54 (b) 7 (c) 5 (d) 6
  40. 40.Which fraction is greater: 10/11 or 1/3? (a) 1/3 (b) 10/11 (c) They are equal

Answer key

  1. 70
  2. Thursday
  3. 140 min
  4. 3
  5. 40
  6. 6
  7. 0.052
  8. 3/4
  9. 2
  10. 10.56
  11. 42
  12. 20%
  13. ₹423
  14. 39
  15. 62
  16. 16.16
  17. 20%
  18. 7.07
  19. 3/4
  20. 0.08
  21. 1
  22. 60 min
  23. 7884
  24. 6
  25. 5
  26. 5/6
  27. 300
  28. ₹1386
  29. 16
  30. 36 sq cm
  31. 44 cm
  32. 11
  33. 1
  34. ₹7700
  35. 4
  36. 6760
  37. 2 years
  38. 67
  39. 6
  40. 10/11

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