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Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 83 · 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 simple interest on ₹1500 at 5% per year for 2 years? (a) ₹75 (b) ₹1650 (c) ₹150 (d) ₹225
  2. 2.The average of 4 numbers is 34. When one number is taken away, the average of the rest is 33. Which number was taken away? (a) 34 (b) 37 (c) 67 (d) 4
  3. 3.4 workers can build a wall in 11 days. How many days will 2 workers take, working at the same speed? (a) 23 days (b) 22 days (c) 9 days (d) 13 days
  4. 4.1/3 + 2/3 = ? (a) 4/3 (b) 1/2 (c) 2/3 (d) 1
  5. 5.Two bells ring every 10 minutes and every 14 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 70 min (b) 2 min (c) 24 min (d) 140 min
  6. 6.Which of these numbers is divisible by 11? (a) 2541 (b) 2545 (c) 2531 (d) 2562
  7. 7.What is the value of the digit 1 in 21.643? (a) 0.01 (b) 1 (c) 10 (d) 0.1
  8. 8.A rectangle is 8 cm long and 4 cm wide. What is its area? (a) 40 sq cm (b) 24 sq cm (c) 32 sq cm (d) 12 sq cm
  9. 9.₹5000 is invested at 2% per year simple interest. What is the amount after 2 years? (a) ₹5100 (b) ₹200 (c) ₹5300 (d) ₹5200
  10. 10.If 7x + 2 = 3x + 26, what is x? (a) 8 (b) 7 (c) 5 (d) 6
  11. 11.What is the average of 46, 48, 36, 33, 43 and 46? (a) 44 (b) 43 (c) 41 (d) 42
  12. 12.What is the simple interest on ₹5000 at 2% per year for 3 years? (a) ₹300 (b) ₹400 (c) ₹100 (d) ₹5300
  13. 13.5 workers can build a wall in 8 days. How many days will 4 workers take, working at the same speed? (a) 11 days (b) 10 days (c) 7 days (d) 9 days
  14. 14.What is the average of 60, 44, 44 and 60? (a) 54 (b) 51 (c) 52 (d) 53
  15. 15.If 8 kites cost ₹32, how much do 5 kites cost? (a) ₹29 (b) ₹160 (c) ₹20 (d) ₹24
  16. 16.A rectangle is 9 cm long and 5 cm wide. What is its perimeter? (a) 14 cm (b) 28 cm (c) 23 cm (d) 45 cm
  17. 17.Two ribbons are 36 cm and 48 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 6 cm (b) 144 cm (c) 12 cm (d) 36 cm
  18. 18.What is the value of the digit 8 in 13.748? (a) 0.008 (b) 8 (c) 0.8 (d) 0.08
  19. 19.If 5 August is a Monday, what day of the week is 15 August? (a) Wednesday (b) Thursday (c) Saturday (d) Friday
  20. 20.A teacher has 12 pencils and 20 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 12 (b) 2 (c) 8 (d) 4
  21. 21.Which fraction is greater: 5/12 or 1/3? (a) 5/12 (b) They are equal (c) 1/3
  22. 22.3/4 + 4/9 = ? (a) 11/9 (b) 7/6 (c) 7/13 (d) 43/36
  23. 23.If x/2 + 2 = 5, what is x? (a) 3 (b) 6 (c) 14 (d) 8
  24. 24.What is the smallest number of sweets that can be shared equally among 4 children or among 10 children, with none left over? (a) 21 (b) 14 (c) 20 (d) 40
  25. 25.Which fraction is greater: 3/4 or 3/8? (a) 3/4 (b) They are equal (c) 3/8
  26. 26.2/4 + 1/3 = ? (a) 3/4 (b) 5/6 (c) 3/7 (d) 11/12
  27. 27.A rectangle is 15 cm long and 4 cm wide. What is its area? (a) 19 sq cm (b) 60 sq cm (c) 75 sq cm (d) 38 sq cm
  28. 28.Today is Saturday. What day of the week will it be after 79 days? (a) Wednesday (b) Tuesday (c) Monday (d) Sunday
  29. 29.Every pair follows the same rule: 6 : 36, 7 : 49, 8 : 64. What is 3 : ? (a) 10 (b) 33 (c) 9 (d) 18
  30. 30.5.09 + 4.7 = ? (a) 9.69 (b) 5.56 (c) 9.89 (d) 9.79
  31. 31.What is the average of 54, 41, 27 and 34? (a) 39 (b) 40 (c) 52 (d) 38
  32. 32.What is the simple interest on ₹3500 at 7% per year for 4 years? (a) ₹245 (b) ₹4480 (c) ₹980 (d) ₹1225
  33. 33.If 8x − 86 = 34, what is x? (a) 15 (b) 120 (c) 16 (d) 14
  34. 34.If 7x + 1 = 57, what is x? (a) 9 (b) 8 (c) 56 (d) 7
  35. 35.Every pair follows the same rule: 2 : 12, 3 : 16, 4 : 20. What is 5 : ? (a) 30 (b) 25 (c) 24 (d) 15
  36. 36.Every pair follows the same rule: 2 : 11, 7 : 56, 9 : 88. What is 6 : ? (a) 44 (b) 43 (c) 40 (d) 15
  37. 37.If 2x + 9 = 17, what is x? (a) 4 (b) 13 (c) 5 (d) 8
  38. 38.Every pair follows the same rule: 4 : 36, 5 : 45, 6 : 54. What is 2 : ? (a) 18 (b) 17 (c) 34 (d) 19
  39. 39.If 4 mangoes cost ₹24, how much do 3 mangoes cost? (a) ₹72 (b) ₹18 (c) ₹24 (d) ₹23
  40. 40.A batter has an average of 24 runs in 5 matches. How many runs are needed in the next match to raise the average to 26? (a) 36 (b) 26 (c) 12 (d) 28

Answer key

  1. ₹150
  2. 37
  3. 22 days
  4. 1
  5. 70 min
  6. 2541
  7. 1
  8. 32 sq cm
  9. ₹5200
  10. 6
  11. 42
  12. ₹300
  13. 10 days
  14. 52
  15. ₹20
  16. 28 cm
  17. 12 cm
  18. 0.008
  19. Thursday
  20. 4
  21. 5/12
  22. 43/36
  23. 6
  24. 20
  25. 3/4
  26. 5/6
  27. 60 sq cm
  28. Monday
  29. 9
  30. 9.79
  31. 39
  32. ₹980
  33. 15
  34. 8
  35. 24
  36. 43
  37. 4
  38. 18
  39. ₹18
  40. 36

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