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Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 800 · 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 average of 72, 68, 81, 72 and 42? (a) 66 (b) 69 (c) 68 (d) 67
  2. 2.A rectangle has an area of 70 sq cm and a length of 10 cm. What is its width? (a) 60 cm (b) 8 cm (c) 14 cm (d) 7 cm
  3. 3.Which of these numbers is divisible by 11? (a) 4894 (b) 4895 (c) 4901 (d) 4909
  4. 4.What is the units digit of 8^41? (a) 2 (b) 6 (c) 8 (d) 4
  5. 5.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) 135 min (b) 3 min (c) 24 min (d) 45 min
  6. 6.A rectangle has an area of 30 sq cm and a length of 15 cm. What is its width? (a) 4 cm (b) 2 cm (c) 15 cm (d) 3 cm
  7. 7.A teacher has 14 pencils and 35 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 21 (b) 7 (c) 14 (d) 1
  8. 8.Every pair follows the same rule: 4 : 14, 5 : 23, 9 : 79. What is 3 : ? (a) 7 (b) 13 (c) 6 (d) 8
  9. 9.1/6 + 3/4 = ? (a) 1 (b) 11/12 (c) 2/5 (d) 5/6
  10. 10.A teacher has 72 pencils and 84 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 6 (b) 504 (c) 72 (d) 12
  11. 11.A shopkeeper buys a toy for ₹1000 and sells it for ₹1500. What is his profit percent? (a) 50% (b) 55% (c) 51% (d) 45%
  12. 12.If x/2 + 8 = 15, what is x? (a) 46 (b) 14 (c) 7 (d) 22
  13. 13.A shopkeeper buys a toy for ₹420 and sells it for ₹525. What is his profit percent? (a) 26% (b) 30% (c) 20% (d) 25%
  14. 14.Today is Friday. What day of the week will it be after 38 days? (a) Wednesday (b) Tuesday (c) Sunday (d) Monday
  15. 15.What is 1/8 of 80? (a) 11 (b) 20 (c) 10 (d) 70
  16. 16.The average of 4 numbers is 24. When one number is taken away, the average of the rest is 23. Which number was taken away? (a) 27 (b) 4 (c) 24 (d) 47
  17. 17.What is the units digit of 2^26? (a) 6 (b) 4 (c) 2 (d) 8
  18. 18.What is 10% of 180? (a) 180 (b) 162 (c) 36 (d) 18
  19. 19.If 4x + 17 = 3x + 19, what is x? (a) 36 (b) 2 (c) 3 (d) 4
  20. 20.A batter has an average of 49 runs in 7 matches. How many runs are needed in the next match to raise the average to 52? (a) 52 (b) 55 (c) 73 (d) 24
  21. 21.What is the average of 40, 55, 33, 35, 56 and 63? (a) 49 (b) 47 (c) 46 (d) 48
  22. 22.Which fraction is greater: 5/6 or 5/8? (a) They are equal (b) 5/8 (c) 5/6
  23. 23.₹135 is shared between two friends in the ratio 1 : 8. How much is the bigger share? (a) ₹135 (b) ₹121 (c) ₹15 (d) ₹120
  24. 24.What is 15% of 440? (a) 374 (b) 66 (c) 660 (d) 132
  25. 25.A shopkeeper buys a toy for ₹960 and sells it for ₹912. What is his loss percent? (a) 10% (b) 48% (c) 5% (d) 6%
  26. 26.3/6 + 1/2 = ? (a) 7/6 (b) 5/6 (c) 1 (d) 1/2
  27. 27.3/8 + 1/2 = ? (a) 1 (b) 7/8 (c) 2/5 (d) 3/4
  28. 28.Every pair follows the same rule: 3 : 12, 4 : 13, 8 : 17. What is 7 : ? (a) 15 (b) 28 (c) 17 (d) 16
  29. 29.Which is the greatest: 0.023, 0.42, 0.4, 0.319? (a) 0.023 (b) 0.42 (c) 0.4 (d) 0.319
  30. 30.In how many years will ₹6000 earn ₹480 simple interest at 2% per year? (a) 3 years (b) 5 years (c) 8 years (d) 4 years
  31. 31.A batter has an average of 48 runs in 7 matches. How many runs are needed in the next match to raise the average to 50? (a) 64 (b) 50 (c) 16 (d) 52
  32. 32.If 24 April is a Saturday, what day of the week is 17 May? (a) Sunday (b) Wednesday (c) Monday (d) Tuesday
  33. 33.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) 2 min (b) 140 min (c) 70 min (d) 24 min
  34. 34.Which of these numbers is divisible by 6? (a) 321 (b) 311 (c) 312 (d) 314
  35. 35.What is 50% of 260? (a) 1300 (b) 130 (c) 260 (d) 131
  36. 36.What is 50% of 540? (a) 540 (b) 271 (c) 270 (d) 2700
  37. 37.What is 10% of 760? (a) 760 (b) 152 (c) 684 (d) 76
  38. 38.If 5 May is a Tuesday, what day of the week is 14 May? (a) Saturday (b) Thursday (c) Friday (d) Wednesday
  39. 39.6.71 + 5.1 = ? (a) 7.22 (b) 11.71 (c) 11.81 (d) 11.91
  40. 40.₹140 is shared between two friends in the ratio 2 : 5. How much is the bigger share? (a) ₹70 (b) ₹100 (c) ₹20 (d) ₹40

Answer key

  1. 67
  2. 7 cm
  3. 4895
  4. 8
  5. 45 min
  6. 2 cm
  7. 7
  8. 7
  9. 11/12
  10. 12
  11. 50%
  12. 14
  13. 25%
  14. Monday
  15. 10
  16. 27
  17. 4
  18. 18
  19. 2
  20. 73
  21. 47
  22. 5/6
  23. ₹120
  24. 66
  25. 5%
  26. 1
  27. 7/8
  28. 16
  29. 0.42
  30. 4 years
  31. 64
  32. Monday
  33. 70 min
  34. 312
  35. 130
  36. 270
  37. 76
  38. Thursday
  39. 11.81
  40. ₹100

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