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Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 86 · 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.Which is the smallest: 0.015, 0.6, 0.546, 0.63? (a) 0.015 (b) 0.6 (c) 0.546 (d) 0.63
  2. 2.What is the average of 40, 60, 68, 55 and 42? (a) 55 (b) 52 (c) 53 (d) 54
  3. 3.A shopkeeper buys a toy for ₹640 and sells it for ₹384. What is his loss percent? (a) 45% (b) 35% (c) 41% (d) 40%
  4. 4.If 7x + 12 = 82, what is x? (a) 9 (b) 10 (c) 70 (d) 11
  5. 5.3.14 + 1.3 = ? (a) 4.44 (b) 4.34 (c) 3.27 (d) 4.54
  6. 6.Today is Thursday. What day of the week will it be after 66 days? (a) Saturday (b) Monday (c) Tuesday (d) Sunday
  7. 7.A bag marked ₹1660 is sold at a 20% discount. What is its selling price? (a) ₹1640 (b) ₹332 (c) ₹1328 (d) ₹1992
  8. 8.Which fraction is greater: 5/8 or 4/9? (a) 4/9 (b) They are equal (c) 5/8
  9. 9.A square has a perimeter of 48 cm. What is its area? (a) 48 sq cm (b) 144 sq cm (c) 169 sq cm (d) 24 sq cm
  10. 10.Which is the greatest: 0.4, 0.317, 0.046, 0.43? (a) 0.4 (b) 0.317 (c) 0.046 (d) 0.43
  11. 11.If 7x + 16 = 6x + 17, what is x? (a) 3 (b) 1 (c) 2 (d) 33
  12. 12.The average of 4 numbers is 18. When one number is taken away, the average of the rest is 15. Which number was taken away? (a) 33 (b) 27 (c) 12 (d) 18
  13. 13.A teacher has 32 pencils and 40 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 160 (b) 8 (c) 4 (d) 32
  14. 14.What is the average of all the whole numbers from 30 to 66? (a) 36 (b) 48 (c) 49 (d) 18
  15. 15.4.32 + 3.1 = ? (a) 7.52 (b) 7.42 (c) 4.63 (d) 7.32
  16. 16.A batter has an average of 26 runs in 4 matches. How many runs are needed in the next match to raise the average to 30? (a) 30 (b) 34 (c) 46 (d) 20
  17. 17.If 15 August is a Tuesday, what day of the week is 25 August? (a) Saturday (b) Sunday (c) Friday (d) Thursday
  18. 18.What is the value of the digit 2 in 46.235? (a) 0.002 (b) 2 (c) 0.2 (d) 0.02
  19. 19.A rectangle is 7 cm long and 5 cm wide. What is its area? (a) 42 sq cm (b) 35 sq cm (c) 24 sq cm (d) 12 sq cm
  20. 20.If 7x + 15 = 5x + 19, what is x? (a) 17 (b) 2 (c) 4 (d) 3
  21. 21.A square has a perimeter of 40 cm. What is its area? (a) 100 sq cm (b) 20 sq cm (c) 40 sq cm (d) 121 sq cm
  22. 22.What is the value of the digit 2 in 76.128? (a) 0.2 (b) 2 (c) 0.002 (d) 0.02
  23. 23.Two ribbons are 36 cm and 48 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 12 cm (b) 144 cm (c) 36 cm (d) 6 cm
  24. 24.A batter has an average of 43 runs in 3 matches. How many runs are needed in the next match to raise the average to 49? (a) 67 (b) 24 (c) 55 (d) 49
  25. 25.If x/3 + 2 = 6, what is x? (a) 16 (b) 24 (c) 12 (d) 4
  26. 26.Which of these numbers is divisible by 6? (a) 1330 (b) 1320 (c) 1316 (d) 1325
  27. 27.What is the average of all the whole numbers from 30 to 36? (a) 34 (b) 33 (c) 6 (d) 3
  28. 28.Every pair follows the same rule: 2 : 1, 5 : 10, 6 : 13. What is 7 : ? (a) 17 (b) 16 (c) 18 (d) 15
  29. 29.Every pair follows the same rule: 2 : 13, 4 : 15, 6 : 17. What is 8 : ? (a) 21 (b) 20 (c) 18 (d) 19
  30. 30.Two bells ring every 15 minutes and every 21 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 36 min (b) 315 min (c) 105 min (d) 3 min
  31. 31.A shopkeeper buys a toy for ₹740 and sells it for ₹851. What is his profit percent? (a) 20% (b) 15% (c) 16% (d) 10%
  32. 32.Every pair follows the same rule: 2 : 2, 6 : 34, 9 : 79. What is 8 : ? (a) 62 (b) 8 (c) 63 (d) 64
  33. 33.4 workers can build a wall in 5 days. How many days will 10 workers take, working at the same speed? (a) 11 days (b) 3 days (c) 2 days (d) 1 day
  34. 34.The average of 4 numbers is 17. When one number is taken away, the average of the rest is 19. Which number was taken away? (a) 11 (b) 12 (c) 17 (d) 36
  35. 35.3.11 + 9.7 = ? (a) 12.91 (b) 12.71 (c) 4.08 (d) 12.81
  36. 36.7.36 + 6.8 = ? (a) 14.26 (b) 14.16 (c) 14.06 (d) 8.04
  37. 37.What is the average of all the whole numbers from 5 to 13? (a) 10 (b) 4 (c) 8 (d) 9
  38. 38.3/4 + 1/2 = ? (a) 2/3 (b) 1 (c) 3/2 (d) 5/4
  39. 39.A rectangle is 16 cm long and 8 cm wide. What is its perimeter? (a) 40 cm (b) 128 cm (c) 48 cm (d) 24 cm
  40. 40.A shopkeeper buys a toy for ₹860 and sells it for ₹516. What is his loss percent? (a) 45% (b) 35% (c) 40% (d) 41%

Answer key

  1. 0.015
  2. 53
  3. 40%
  4. 10
  5. 4.44
  6. Sunday
  7. ₹1328
  8. 5/8
  9. 144 sq cm
  10. 0.43
  11. 1
  12. 27
  13. 8
  14. 48
  15. 7.42
  16. 46
  17. Friday
  18. 0.2
  19. 35 sq cm
  20. 2
  21. 100 sq cm
  22. 0.02
  23. 12 cm
  24. 67
  25. 12
  26. 1320
  27. 33
  28. 16
  29. 19
  30. 105 min
  31. 15%
  32. 62
  33. 2 days
  34. 11
  35. 12.81
  36. 14.16
  37. 9
  38. 5/4
  39. 48 cm
  40. 40%

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