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Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 471 · 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 7 notebooks cost ₹119, how much do 10 notebooks cost? (a) ₹122 (b) ₹1190 (c) ₹170 (d) ₹187
  2. 2.A batter has an average of 30 runs in 8 matches. How many runs are needed in the next match to raise the average to 32? (a) 34 (b) 48 (c) 32 (d) 18
  3. 3.If 4x + 3 = 3x + 5, what is x? (a) 3 (b) 2 (c) 8 (d) 4
  4. 4.If 14 May is a Tuesday, what day of the week is 24 May? (a) Sunday (b) Thursday (c) Friday (d) Saturday
  5. 5.What is the smallest number of sweets that can be shared equally among 15 children or among 25 children, with none left over? (a) 375 (b) 75 (c) 150 (d) 40
  6. 6.₹7500 is invested at 5% per year simple interest. What is the amount after 4 years? (a) ₹7875 (b) ₹9375 (c) ₹1500 (d) ₹9000
  7. 7.What is the value of the digit 4 in 41.687? (a) 40 (b) 0.04 (c) 0.4 (d) 4
  8. 8.What is the simple interest on ₹2500 at 3% per year for 4 years? (a) ₹75 (b) ₹2800 (c) ₹300 (d) ₹375
  9. 9.5 workers can build a wall in 15 days. How many days will 3 workers take, working at the same speed? (a) 25 days (b) 9 days (c) 17 days (d) 13 days
  10. 10.Which fraction is greater: 1/9 or 2/3? (a) 2/3 (b) They are equal (c) 1/9
  11. 11.If 13 June is a Thursday, what day of the week is 4 July? (a) Saturday (b) Wednesday (c) Friday (d) Thursday
  12. 12.What is 4/9 of 108? (a) 49 (b) 48 (c) 12 (d) 60
  13. 13.What is the simple interest on ₹5500 at 5% per year for 3 years? (a) ₹275 (b) ₹6325 (c) ₹1100 (d) ₹825
  14. 14.Every pair follows the same rule: 3 : 9, 4 : 16, 6 : 36. What is 7 : ? (a) 49 (b) 21 (c) 46 (d) 13
  15. 15.A square has a perimeter of 60 cm. What is its area? (a) 30 sq cm (b) 225 sq cm (c) 60 sq cm (d) 256 sq cm
  16. 16.8 workers can build a wall in 8 days. How many days will 4 workers take, working at the same speed? (a) 16 days (b) 12 days (c) 4 days (d) 17 days
  17. 17.The simple interest on ₹8000 for 2 years is ₹640. What is the rate per year? (a) 8% (b) 3% (c) 4% (d) 5%
  18. 18.Every pair follows the same rule: 2 : 17, 6 : 37, 8 : 47. What is 5 : ? (a) 32 (b) 20 (c) 33 (d) 31
  19. 19.What is the average of 26, 47, 35, 26 and 61? (a) 39 (b) 41 (c) 40 (d) 38
  20. 20.What is 2/3 of 18? (a) 12 (b) 13 (c) 6 (d) 18
  21. 21.9.21 + 5.2 = ? (a) 14.51 (b) 9.73 (c) 14.31 (d) 14.41
  22. 22.The simple interest on ₹3000 for 2 years is ₹300. What is the rate per year? (a) 5% (b) 4% (c) 10% (d) 6%
  23. 23.Every pair follows the same rule: 2 : 12, 6 : 16, 8 : 18. What is 4 : ? (a) 14 (b) 13 (c) 24 (d) 15
  24. 24.What is 50% of 140? (a) 700 (b) 140 (c) 71 (d) 70
  25. 25.Two bells ring every 8 minutes and every 14 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 2 min (b) 112 min (c) 22 min (d) 56 min
  26. 26.A shopkeeper buys a toy for ₹520 and sells it for ₹416. What is his loss percent? (a) 15% (b) 25% (c) 20% (d) 21%
  27. 27.Today is Wednesday. What day of the week will it be after 67 days? (a) Saturday (b) Tuesday (c) Sunday (d) Monday
  28. 28.8 workers can build a wall in 5 days. How many days will 2 workers take, working at the same speed? (a) 19 days (b) 11 days (c) 20 days (d) 21 days
  29. 29.If 4x − 5 = 3, what is x? (a) 1 (b) 3 (c) 2 (d) 8
  30. 30.A rectangle is 17 cm long and 5 cm wide. What is its area? (a) 85 sq cm (b) 44 sq cm (c) 22 sq cm (d) 102 sq cm
  31. 31.Every pair follows the same rule: 3 : 7, 4 : 9, 7 : 15. What is 2 : ? (a) 7 (b) 4 (c) 6 (d) 5
  32. 32.If 7x + 14 = 3x + 22, what is x? (a) 9 (b) 2 (c) 4 (d) 3
  33. 33.A batter has an average of 52 runs in 8 matches. How many runs are needed in the next match to raise the average to 54? (a) 70 (b) 18 (c) 56 (d) 54
  34. 34.What is the average of all the whole numbers from 19 to 49? (a) 35 (b) 30 (c) 34 (d) 15
  35. 35.If x/6 + 8 = 15, what is x? (a) 138 (b) 82 (c) 42 (d) 7
  36. 36.A rectangle is 11 cm long and 5 cm wide. What is its perimeter? (a) 55 cm (b) 27 cm (c) 32 cm (d) 16 cm
  37. 37.A teacher has 45 pencils and 72 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 45 (b) 27 (c) 3 (d) 9
  38. 38.What is the average of all the whole numbers from 31 to 45? (a) 39 (b) 14 (c) 38 (d) 7
  39. 39.9 workers can build a wall in 12 days. How many days will 4 workers take, working at the same speed? (a) 17 days (b) 27 days (c) 7 days (d) 28 days
  40. 40.Two bells ring every 6 minutes and every 14 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 20 min (b) 2 min (c) 84 min (d) 42 min

Answer key

  1. ₹170
  2. 48
  3. 2
  4. Friday
  5. 75
  6. ₹9000
  7. 40
  8. ₹300
  9. 25 days
  10. 2/3
  11. Thursday
  12. 48
  13. ₹825
  14. 49
  15. 225 sq cm
  16. 16 days
  17. 4%
  18. 32
  19. 39
  20. 12
  21. 14.41
  22. 5%
  23. 14
  24. 70
  25. 56 min
  26. 20%
  27. Sunday
  28. 20 days
  29. 2
  30. 85 sq cm
  31. 5
  32. 2
  33. 70
  34. 34
  35. 42
  36. 32 cm
  37. 9
  38. 38
  39. 27 days
  40. 42 min

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