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Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 518 · 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 25 children, with none left over? (a) 35 (b) 50 (c) 250 (d) 100
  2. 2.What is the remainder when 278 is divided by 6? (a) 4 (b) 3 (c) 1 (d) 2
  3. 3.Which fraction is greater: 1/3 or 3/10? (a) 1/3 (b) They are equal (c) 3/10
  4. 4.The average of 5 numbers is 48. When one number is taken away, the average of the rest is 49. Which number was taken away? (a) 45 (b) 97 (c) 48 (d) 44
  5. 5.What is the units digit of 9^13? (a) 8 (b) 7 (c) 1 (d) 9
  6. 6.If 5 August is a Saturday, what day of the week is 19 August? (a) Monday (b) Friday (c) Saturday (d) Sunday
  7. 7.A shopkeeper buys a toy for ₹340 and sells it for ₹442. What is his profit percent? (a) 30% (b) 35% (c) 25% (d) 31%
  8. 8.₹6500 is invested at 6% per year simple interest. What is the amount after 2 years? (a) ₹780 (b) ₹7670 (c) ₹6890 (d) ₹7280
  9. 9.If 21 January is a Monday, what day of the week is 11 February? (a) Sunday (b) Monday (c) Wednesday (d) Tuesday
  10. 10.Which is the greatest: 0.018, 0.3, 0.257, 0.33? (a) 0.018 (b) 0.3 (c) 0.257 (d) 0.33
  11. 11.Every pair follows the same rule: 4 : 12, 5 : 15, 8 : 24. What is 6 : ? (a) 17 (b) 14 (c) 19 (d) 18
  12. 12.Every pair follows the same rule: 4 : 25, 7 : 58, 9 : 90. What is 8 : ? (a) 29 (b) 74 (c) 72 (d) 73
  13. 13.If 4 pens cost ₹60, how much do 10 pens cost? (a) ₹600 (b) ₹150 (c) ₹66 (d) ₹165
  14. 14.Today is Saturday. What day of the week will it be after 98 days? (a) Friday (b) Sunday (c) Monday (d) Saturday
  15. 15.If 2x − 2 = 4, what is x? (a) 1 (b) 3 (c) 4 (d) 6
  16. 16.Which is the smallest: 0.123, 0.049, 0.2, 0.21? (a) 0.123 (b) 0.049 (c) 0.2 (d) 0.21
  17. 17.A batter has an average of 31 runs in 8 matches. How many runs are needed in the next match to raise the average to 33? (a) 18 (b) 49 (c) 35 (d) 33
  18. 18.2.14 + 3.9 = ? (a) 5.94 (b) 6.14 (c) 2.53 (d) 6.04
  19. 19.A rectangle has an area of 140 sq cm and a length of 20 cm. What is its width? (a) 120 cm (b) 7 cm (c) 14 cm (d) 8 cm
  20. 20.If 3x − 4 = 11, what is x? (a) 6 (b) 5 (c) 4 (d) 15
  21. 21.What is the value of the digit 5 in 96.153? (a) 5 (b) 0.5 (c) 0.005 (d) 0.05
  22. 22.5 workers can build a wall in 8 days. How many days will 10 workers take, working at the same speed? (a) 3 days (b) 4 days (c) 16 days (d) 13 days
  23. 23.What is 20% of 60? (a) 12 (b) 48 (c) 120 (d) 24
  24. 24.Today is Sunday. What day of the week will it be after 95 days? (a) Wednesday (b) Thursday (c) Friday (d) Saturday
  25. 25.A rectangle is 10 cm long and 6 cm wide. What is its area? (a) 32 sq cm (b) 70 sq cm (c) 16 sq cm (d) 60 sq cm
  26. 26.What is 7/9 of 18? (a) 4 (b) 2 (c) 16 (d) 14
  27. 27.What is the units digit of 8^45? (a) 6 (b) 8 (c) 4 (d) 2
  28. 28.If 4 December is a Friday, what day of the week is 13 December? (a) Saturday (b) Monday (c) Tuesday (d) Sunday
  29. 29.What is the simple interest on ₹6500 at 8% per year for 5 years? (a) ₹3120 (b) ₹520 (c) ₹9100 (d) ₹2600
  30. 30.Every pair follows the same rule: 3 : 12, 4 : 13, 9 : 18. What is 7 : ? (a) 28 (b) 17 (c) 15 (d) 16
  31. 31.A teacher has 6 pencils and 16 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 10 (b) 6 (c) 1 (d) 2
  32. 32.What is the average of 50, 56, 37, 59, 45 and 29? (a) 46 (b) 48 (c) 47 (d) 45
  33. 33.Two bells ring every 6 minutes and every 21 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 3 min (b) 126 min (c) 42 min (d) 27 min
  34. 34.5 workers can build a wall in 7 days. How many days will 7 workers take, working at the same speed? (a) 4 days (b) 6 days (c) 5 days (d) 9 days
  35. 35.What is 1/2 of 14? (a) 6 (b) 7 (c) 14 (d) 8
  36. 36.What is the average of all the whole numbers from 29 to 47? (a) 18 (b) 38 (c) 39 (d) 9
  37. 37.Every pair follows the same rule: 6 : 33, 7 : 46, 8 : 61. What is 3 : ? (a) 6 (b) 30 (c) 7 (d) 5
  38. 38.Which fraction is greater: 1/4 or 3/8? (a) 1/4 (b) They are equal (c) 3/8
  39. 39.What is the average of 40, 65, 56 and 39? (a) 49 (b) 52 (c) 50 (d) 51
  40. 40.What is the average of 81, 63, 63, 81 and 77? (a) 75 (b) 72 (c) 74 (d) 73

Answer key

  1. 50
  2. 2
  3. 1/3
  4. 44
  5. 9
  6. Saturday
  7. 30%
  8. ₹7280
  9. Monday
  10. 0.33
  11. 18
  12. 73
  13. ₹150
  14. Saturday
  15. 3
  16. 0.049
  17. 49
  18. 6.04
  19. 7 cm
  20. 5
  21. 0.05
  22. 4 days
  23. 12
  24. Thursday
  25. 60 sq cm
  26. 14
  27. 8
  28. Sunday
  29. ₹2600
  30. 16
  31. 2
  32. 46
  33. 42 min
  34. 5 days
  35. 7
  36. 38
  37. 6
  38. 3/8
  39. 50
  40. 73

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