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Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 241 · 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.In how many years will ₹4000 earn ₹1400 simple interest at 7% per year? (a) 5 years (b) 4 years (c) 6 years (d) 10 years
  2. 2.If 5 notebooks cost ₹85, how much do 10 notebooks cost? (a) ₹170 (b) ₹90 (c) ₹187 (d) ₹850
  3. 3.₹221 is shared between two friends in the ratio 4 : 9. How much is the bigger share? (a) ₹170 (b) ₹17 (c) ₹68 (d) ₹153
  4. 4.Every pair follows the same rule: 2 : 14, 3 : 21, 9 : 63. What is 5 : ? (a) 34 (b) 17 (c) 35 (d) 36
  5. 5.What is the smallest number of sweets that can be shared equally among 4 children or among 6 children, with none left over? (a) 12 (b) 13 (c) 10 (d) 24
  6. 6.2/5 + 3/5 = ? (a) 6/5 (b) 1/2 (c) 4/5 (d) 1
  7. 7.Today is Sunday. What day of the week will it be after 19 days? (a) Saturday (b) Sunday (c) Friday (d) Thursday
  8. 8.Which is the greatest: 0.8, 0.028, 0.763, 0.84? (a) 0.8 (b) 0.028 (c) 0.763 (d) 0.84
  9. 9.What is the value of the digit 6 in 67.219? (a) 60 (b) 6 (c) 0.6 (d) 0.06
  10. 10.In how many years will ₹7000 earn ₹1120 simple interest at 4% per year? (a) 5 years (b) 4 years (c) 8 years (d) 3 years
  11. 11.A teacher has 54 pencils and 63 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 3 (b) 54 (c) 9 (d) 378
  12. 12.Two bells ring every 8 minutes and every 28 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 56 min (b) 36 min (c) 224 min (d) 4 min
  13. 13.What is the units digit of 2^31? (a) 2 (b) 4 (c) 6 (d) 8
  14. 14.What is the simple interest on ₹9000 at 9% per year for 3 years? (a) ₹810 (b) ₹11430 (c) ₹3240 (d) ₹2430
  15. 15.₹5000 is invested at 11% per year simple interest. What is the amount after 4 years? (a) ₹7200 (b) ₹5550 (c) ₹2200 (d) ₹7750
  16. 16.2.08 + 6.1 = ? (a) 8.18 (b) 8.08 (c) 2.69 (d) 8.28
  17. 17.A teacher has 63 pencils and 81 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 63 (b) 18 (c) 9 (d) 3
  18. 18.The average of 5 numbers is 30. When one number is taken away, the average of the rest is 33. Which number was taken away? (a) 18 (b) 63 (c) 19 (d) 30
  19. 19.7 workers can build a wall in 5 days. How many days will 5 workers take, working at the same speed? (a) 3 days (b) 8 days (c) 6 days (d) 7 days
  20. 20.What is the average of 85, 64, 77, 61 and 83? (a) 73 (b) 76 (c) 74 (d) 75
  21. 21.A rectangle has an area of 136 sq cm and a length of 17 cm. What is its width? (a) 119 cm (b) 9 cm (c) 8 cm (d) 16 cm
  22. 22.What is 1/2 of 16? (a) 9 (b) 7 (c) 16 (d) 8
  23. 23.A rectangle has an area of 32 sq cm and a length of 8 cm. What is its width? (a) 24 cm (b) 5 cm (c) 8 cm (d) 4 cm
  24. 24.What is the remainder when 237 is divided by 7? (a) 4 (b) 5 (c) 6 (d) 1
  25. 25.Two bells ring every 9 minutes and every 15 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 3 min (b) 45 min (c) 24 min (d) 135 min
  26. 26.What is the average of all the whole numbers from 51 to 75? (a) 24 (b) 12 (c) 63 (d) 64
  27. 27.Which fraction is greater: 1/11 or 1/10? (a) They are equal (b) 1/11 (c) 1/10
  28. 28.What is the smallest number of sweets that can be shared equally among 6 children or among 21 children, with none left over? (a) 84 (b) 126 (c) 42 (d) 27
  29. 29.₹2000 is invested at 3% per year simple interest. What is the amount after 5 years? (a) ₹2060 (b) ₹2300 (c) ₹2360 (d) ₹300
  30. 30.A teacher has 60 pencils and 96 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 60 (b) 36 (c) 6 (d) 12
  31. 31.If x/5 + 15 = 25, what is x? (a) 50 (b) 10 (c) 110 (d) 200
  32. 32.A batter has an average of 53 runs in 3 matches. How many runs are needed in the next match to raise the average to 57? (a) 16 (b) 57 (c) 69 (d) 61
  33. 33.Every pair follows the same rule: 3 : 14, 4 : 18, 5 : 22. What is 9 : ? (a) 38 (b) 20 (c) 39 (d) 37
  34. 34.4 workers can build a wall in 13 days. How many days will 2 workers take, working at the same speed? (a) 15 days (b) 27 days (c) 26 days (d) 11 days
  35. 35.3.52 + 7.4 = ? (a) 4.26 (b) 11.02 (c) 10.82 (d) 10.92
  36. 36.Which of these numbers is divisible by 8? (a) 5557 (b) 5544 (c) 5549 (d) 5543
  37. 37.A teacher has 10 pencils and 25 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 10 (b) 1 (c) 5 (d) 15
  38. 38.What is the remainder when 400 is divided by 6? (a) 5 (b) 2 (c) 4 (d) 3
  39. 39.A teacher has 4 pencils and 14 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 10 (b) 4 (c) 2 (d) 1
  40. 40.Every pair follows the same rule: 2 : 15, 3 : 16, 5 : 18. What is 9 : ? (a) 22 (b) 24 (c) 23 (d) 21

Answer key

  1. 5 years
  2. ₹170
  3. ₹153
  4. 35
  5. 12
  6. 1
  7. Friday
  8. 0.84
  9. 60
  10. 4 years
  11. 9
  12. 56 min
  13. 8
  14. ₹2430
  15. ₹7200
  16. 8.18
  17. 9
  18. 18
  19. 7 days
  20. 74
  21. 8 cm
  22. 8
  23. 4 cm
  24. 6
  25. 45 min
  26. 63
  27. 1/10
  28. 42
  29. ₹2300
  30. 12
  31. 50
  32. 69
  33. 38
  34. 26 days
  35. 10.92
  36. 5544
  37. 5
  38. 4
  39. 2
  40. 22

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