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Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 216 · 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 of these numbers is divisible by 9? (a) 2478 (b) 2466 (c) 2458 (d) 2468
  2. 2.The simple interest on ₹7000 for 3 years is ₹1680. What is the rate per year? (a) 9% (b) 8% (c) 7% (d) 24%
  3. 3.What is the average of all the whole numbers from 58 to 78? (a) 68 (b) 69 (c) 20 (d) 10
  4. 4.What is the units digit of 8^19? (a) 8 (b) 6 (c) 4 (d) 2
  5. 5.A rectangle is 19 cm long and 10 cm wide. What is its area? (a) 29 sq cm (b) 190 sq cm (c) 209 sq cm (d) 58 sq cm
  6. 6.Every pair follows the same rule: 3 : 18, 6 : 21, 7 : 22. What is 2 : ? (a) 18 (b) 16 (c) 12 (d) 17
  7. 7.A rectangle is 9 cm long and 8 cm wide. What is its area? (a) 72 sq cm (b) 17 sq cm (c) 81 sq cm (d) 34 sq cm
  8. 8.Which is the greatest: 0.016, 0.5, 0.57, 0.462? (a) 0.016 (b) 0.5 (c) 0.57 (d) 0.462
  9. 9.Which fraction is greater: 5/8 or 7/9? (a) They are equal (b) 7/9 (c) 5/8
  10. 10.Which is the greatest: 0.72, 0.7, 0.699, 0.042? (a) 0.72 (b) 0.7 (c) 0.699 (d) 0.042
  11. 11.If 6 May is a Saturday, what day of the week is 22 May? (a) Wednesday (b) Tuesday (c) Sunday (d) Monday
  12. 12.A rectangle is 20 cm long and 8 cm wide. What is its area? (a) 56 sq cm (b) 180 sq cm (c) 160 sq cm (d) 28 sq cm
  13. 13.If x/3 + 4 = 9, what is x? (a) 5 (b) 15 (c) 23 (d) 39
  14. 14.A batter has an average of 52 runs in 4 matches. How many runs are needed in the next match to raise the average to 56? (a) 60 (b) 56 (c) 72 (d) 20
  15. 15.A rectangle has an area of 70 sq cm and a length of 14 cm. What is its width? (a) 56 cm (b) 6 cm (c) 5 cm (d) 10 cm
  16. 16.What is the average of all the whole numbers from 58 to 76? (a) 67 (b) 18 (c) 9 (d) 68
  17. 17.5 workers can build a wall in 11 days. How many days will 11 workers take, working at the same speed? (a) 4 days (b) 6 days (c) 17 days (d) 5 days
  18. 18.3/9 + 1/2 = ? (a) 5/6 (b) 7/9 (c) 8/9 (d) 4/11
  19. 19.Which is the greatest: 0.075, 0.32, 0.222, 0.3? (a) 0.075 (b) 0.32 (c) 0.222 (d) 0.3
  20. 20.A batter has an average of 31 runs in 6 matches. How many runs are needed in the next match to raise the average to 38? (a) 49 (b) 38 (c) 45 (d) 80
  21. 21.A rectangle has an area of 90 sq cm and a length of 10 cm. What is its width? (a) 9 cm (b) 18 cm (c) 80 cm (d) 10 cm
  22. 22.2/3 + 1/8 = ? (a) 5/6 (b) 19/24 (c) 3/11 (d) 3/4
  23. 23.A teacher has 32 pencils and 36 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 2 (b) 32 (c) 288 (d) 4
  24. 24.A square has a perimeter of 60 cm. What is its area? (a) 30 sq cm (b) 60 sq cm (c) 256 sq cm (d) 225 sq cm
  25. 25.2.74 + 1.4 = ? (a) 4.04 (b) 4.24 (c) 4.14 (d) 2.88
  26. 26.If 29 May is a Sunday, what day of the week is 3 June? (a) Saturday (b) Thursday (c) Sunday (d) Friday
  27. 27.Which is the greatest: 0.5, 0.024, 0.481, 0.59? (a) 0.5 (b) 0.024 (c) 0.481 (d) 0.59
  28. 28.What is the average of 66, 86, 86, 87, 92 and 57? (a) 78 (b) 81 (c) 79 (d) 80
  29. 29.A rectangle has an area of 44 sq cm and a length of 11 cm. What is its width? (a) 8 cm (b) 33 cm (c) 4 cm (d) 5 cm
  30. 30.The average of 6 numbers is 46. When one number is taken away, the average of the rest is 48. Which number was taken away? (a) 36 (b) 46 (c) 94 (d) 37
  31. 31.What is 1/2 of 18? (a) 9 (b) 10 (c) 8 (d) 18
  32. 32.7 workers can build a wall in 12 days. How many days will 4 workers take, working at the same speed? (a) 9 days (b) 15 days (c) 22 days (d) 21 days
  33. 33.The simple interest on ₹2000 for 4 years is ₹400. What is the rate per year? (a) 20% (b) 6% (c) 5% (d) 4%
  34. 34.What is the average of 33, 55, 34, 29, 35 and 60? (a) 43 (b) 41 (c) 42 (d) 40
  35. 35.If 4 May is a Sunday, what day of the week is 15 May? (a) Wednesday (b) Friday (c) Saturday (d) Thursday
  36. 36.Every pair follows the same rule: 3 : 14, 5 : 20, 7 : 26. What is 8 : ? (a) 30 (b) 19 (c) 28 (d) 29
  37. 37.2/3 + 1/6 = ? (a) 1/3 (b) 5/6 (c) 1 (d) 2/3
  38. 38.Which of these numbers is divisible by 3? (a) 1912 (b) 1909 (c) 1908 (d) 1906
  39. 39.Which is the greatest: 0.318, 0.071, 0.47, 0.4? (a) 0.318 (b) 0.071 (c) 0.47 (d) 0.4
  40. 40.1.62 + 4.7 = ? (a) 6.22 (b) 2.09 (c) 6.42 (d) 6.32

Answer key

  1. 2466
  2. 8%
  3. 68
  4. 2
  5. 190 sq cm
  6. 17
  7. 72 sq cm
  8. 0.57
  9. 7/9
  10. 0.72
  11. Monday
  12. 160 sq cm
  13. 15
  14. 72
  15. 5 cm
  16. 67
  17. 5 days
  18. 5/6
  19. 0.32
  20. 80
  21. 9 cm
  22. 19/24
  23. 4
  24. 225 sq cm
  25. 4.14
  26. Friday
  27. 0.59
  28. 79
  29. 4 cm
  30. 36
  31. 9
  32. 21 days
  33. 5%
  34. 41
  35. Thursday
  36. 29
  37. 5/6
  38. 1908
  39. 0.47
  40. 6.32

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