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Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 670 · 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 6 October is a Tuesday, what day of the week is 14 October? (a) Thursday (b) Tuesday (c) Wednesday (d) Friday
  2. 2.The average of 4 numbers is 32. When one number is taken away, the average of the rest is 30. Which number was taken away? (a) 62 (b) 32 (c) 38 (d) 8
  3. 3.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) 71 (c) 140 (d) 70
  4. 4.Two bells ring every 24 minutes and every 30 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 6 min (b) 720 min (c) 120 min (d) 54 min
  5. 5.If 7x − 60 = 17, what is x? (a) 12 (b) 11 (c) 10 (d) 77
  6. 6.₹9000 is invested at 2% per year simple interest. What is the amount after 5 years? (a) ₹10080 (b) ₹9900 (c) ₹900 (d) ₹9180
  7. 7.Every pair follows the same rule: 2 : 8, 3 : 9, 7 : 13. What is 5 : ? (a) 12 (b) 11 (c) 10 (d) 20
  8. 8.Every pair follows the same rule: 3 : 17, 6 : 44, 9 : 89. What is 8 : ? (a) 72 (b) 73 (c) 22 (d) 74
  9. 9.If 8x + 5 = 69, what is x? (a) 8 (b) 64 (c) 9 (d) 7
  10. 10.If 6x + 7 = 3x + 43, what is x? (a) 14 (b) 13 (c) 4 (d) 12
  11. 11.7 workers can build a wall in 5 days. How many days will 5 workers take, working at the same speed? (a) 6 days (b) 8 days (c) 3 days (d) 7 days
  12. 12.If 6 August is a Wednesday, what day of the week is 16 August? (a) Sunday (b) Monday (c) Saturday (d) Friday
  13. 13.Today is Thursday. What day of the week will it be after 18 days? (a) Wednesday (b) Sunday (c) Tuesday (d) Monday
  14. 14.₹3000 is invested at 7% per year simple interest. What is the amount after 5 years? (a) ₹3210 (b) ₹4260 (c) ₹1050 (d) ₹4050
  15. 15.A square has a perimeter of 44 cm. What is its area? (a) 121 sq cm (b) 44 sq cm (c) 22 sq cm (d) 144 sq cm
  16. 16.What is the units digit of 4^46? (a) 4 (b) 5 (c) 7 (d) 6
  17. 17.A square has a perimeter of 32 cm. What is its area? (a) 16 sq cm (b) 64 sq cm (c) 81 sq cm (d) 32 sq cm
  18. 18.A batter has an average of 48 runs in 8 matches. How many runs are needed in the next match to raise the average to 55? (a) 63 (b) 111 (c) 62 (d) 55
  19. 19.A shopkeeper buys a toy for ₹860 and sells it for ₹946. What is his profit percent? (a) 5% (b) 86% (c) 10% (d) 15%
  20. 20.If 11 January is a Saturday, what day of the week is 5 February? (a) Tuesday (b) Friday (c) Wednesday (d) Thursday
  21. 21.1/2 + 1/9 = ? (a) 5/9 (b) 2/11 (c) 2/3 (d) 11/18
  22. 22.What is the smallest number of sweets that can be shared equally among 9 children or among 21 children, with none left over? (a) 126 (b) 30 (c) 63 (d) 189
  23. 23.Two bells ring every 6 minutes and every 10 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 16 min (b) 2 min (c) 30 min (d) 60 min
  24. 24.If 7x + 12 = x + 30, what is x? (a) 3 (b) 5 (c) 7 (d) 4
  25. 25.9 workers can build a wall in 14 days. How many days will 7 workers take, working at the same speed? (a) 18 days (b) 19 days (c) 16 days (d) 12 days
  26. 26.The simple interest on ₹4500 for 4 years is ₹360. What is the rate per year? (a) 3% (b) 1% (c) 2% (d) 8%
  27. 27.What is the remainder when 166 is divided by 4? (a) 1 (b) 2 (c) 0 (d) 3
  28. 28.8/9 + 2/3 = ? (a) 5/3 (b) 14/9 (c) 5/6 (d) 13/9
  29. 29.What is the average of all the whole numbers from 12 to 22? (a) 18 (b) 5 (c) 17 (d) 10
  30. 30.What is the value of the digit 7 in 37.196? (a) 0.07 (b) 0.7 (c) 70 (d) 7
  31. 31.A shopkeeper buys a toy for ₹380 and sells it for ₹437. What is his profit percent? (a) 10% (b) 20% (c) 15% (d) 57%
  32. 32.If x/2 + 13 = 24, what is x? (a) 22 (b) 35 (c) 74 (d) 11
  33. 33.Which fraction is greater: 7/9 or 1/3? (a) 1/3 (b) They are equal (c) 7/9
  34. 34.If 8x + 9 = 3x + 69, what is x? (a) 13 (b) 14 (c) 11 (d) 12
  35. 35.What is the value of the digit 4 in 47.259? (a) 4 (b) 0.4 (c) 40 (d) 0.04
  36. 36.What is 4/7 of 35? (a) 25 (b) 20 (c) 5 (d) 15
  37. 37.Every pair follows the same rule: 2 : 10, 4 : 20, 8 : 40. What is 7 : ? (a) 34 (b) 35 (c) 15 (d) 36
  38. 38.If 4 mangoes cost ₹64, how much do 10 mangoes cost? (a) ₹176 (b) ₹70 (c) ₹160 (d) ₹640
  39. 39.If 2 kites cost ₹28, how much do 11 kites cost? (a) ₹154 (b) ₹308 (c) ₹168 (d) ₹37
  40. 40.What is the remainder when 359 is divided by 8? (a) 1 (b) 5 (c) 7 (d) 6

Answer key

  1. Wednesday
  2. 38
  3. 70
  4. 120 min
  5. 11
  6. ₹9900
  7. 11
  8. 72
  9. 8
  10. 12
  11. 7 days
  12. Saturday
  13. Monday
  14. ₹4050
  15. 121 sq cm
  16. 6
  17. 64 sq cm
  18. 111
  19. 10%
  20. Wednesday
  21. 11/18
  22. 63
  23. 30 min
  24. 3
  25. 18 days
  26. 2%
  27. 2
  28. 14/9
  29. 17
  30. 7
  31. 15%
  32. 22
  33. 7/9
  34. 12
  35. 40
  36. 20
  37. 35
  38. ₹160
  39. ₹154
  40. 7

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