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Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 757 · 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 10 August is a Wednesday, what day of the week is 17 September? (a) Saturday (b) Monday (c) Sunday (d) Friday
  2. 2.8 workers can build a wall in 7 days. How many days will 2 workers take, working at the same speed? (a) 29 days (b) 13 days (c) 28 days (d) 1 day
  3. 3.If 3x + 26 = 65, what is x? (a) 12 (b) 39 (c) 14 (d) 13
  4. 4.What is the simple interest on ₹3000 at 7% per year for 5 years? (a) ₹1050 (b) ₹210 (c) ₹4050 (d) ₹1260
  5. 5.A square has a perimeter of 32 cm. What is its area? (a) 32 sq cm (b) 81 sq cm (c) 16 sq cm (d) 64 sq cm
  6. 6.Every pair follows the same rule: 2 : 1, 3 : 3, 4 : 5. What is 6 : ? (a) 11 (b) 8 (c) 9 (d) 10
  7. 7.9 workers can build a wall in 15 days. How many days will 3 workers take, working at the same speed? (a) 45 days (b) 5 days (c) 21 days (d) 9 days
  8. 8.4 workers can build a wall in 6 days. How many days will 2 workers take, working at the same speed? (a) 8 days (b) 3 days (c) 4 days (d) 12 days
  9. 9.If 3 pens cost ₹18, how much do 2 pens cost? (a) ₹18 (b) ₹17 (c) ₹36 (d) ₹12
  10. 10.If 8x + 16 = 56, what is x? (a) 40 (b) 5 (c) 9 (d) 6
  11. 11.The average of 5 numbers is 44. When one number is taken away, the average of the rest is 45. Which number was taken away? (a) 89 (b) 41 (c) 40 (d) 44
  12. 12.What is the simple interest on ₹6500 at 6% per year for 2 years? (a) ₹1170 (b) ₹7280 (c) ₹390 (d) ₹780
  13. 13.A bag marked ₹240 is sold at a 40% discount. What is its selling price? (a) ₹144 (b) ₹336 (c) ₹200 (d) ₹96
  14. 14.A rectangle has an area of 60 sq cm and a length of 10 cm. What is its width? (a) 50 cm (b) 7 cm (c) 6 cm (d) 12 cm
  15. 15.Every pair follows the same rule: 2 : 4, 4 : 16, 8 : 64. What is 7 : ? (a) 14 (b) 9 (c) 52 (d) 49
  16. 16.The average of 8 numbers is 50. When one number is taken away, the average of the rest is 45. Which number was taken away? (a) 40 (b) 50 (c) 85 (d) 95
  17. 17.A square has a perimeter of 52 cm. What is its area? (a) 52 sq cm (b) 26 sq cm (c) 169 sq cm (d) 196 sq cm
  18. 18.If 5x + 16 = 56, what is x? (a) 9 (b) 7 (c) 8 (d) 40
  19. 19.If 8x − 48 = 16, what is x? (a) 64 (b) 8 (c) 7 (d) 9
  20. 20.A batter has an average of 42 runs in 4 matches. How many runs are needed in the next match to raise the average to 50? (a) 58 (b) 40 (c) 82 (d) 50
  21. 21.Which fraction is greater: 7/11 or 4/7? (a) They are equal (b) 4/7 (c) 7/11
  22. 22.If 6x − 20 = 46, what is x? (a) 10 (b) 12 (c) 11 (d) 66
  23. 23.A rectangle is 20 cm long and 4 cm wide. What is its perimeter? (a) 80 cm (b) 44 cm (c) 48 cm (d) 24 cm
  24. 24.Every pair follows the same rule: 3 : 12, 4 : 17, 8 : 37. What is 5 : ? (a) 22 (b) 23 (c) 20 (d) 14
  25. 25.A rectangle is 7 cm long and 6 cm wide. What is its perimeter? (a) 26 cm (b) 42 cm (c) 20 cm (d) 13 cm
  26. 26.What is the units digit of 2^24? (a) 6 (b) 4 (c) 8 (d) 2
  27. 27.A batter has an average of 25 runs in 8 matches. How many runs are needed in the next match to raise the average to 28? (a) 52 (b) 31 (c) 27 (d) 28
  28. 28.2/5 + 1/3 = ? (a) 2/3 (b) 11/15 (c) 3/8 (d) 4/5
  29. 29.A rectangle is 7 cm long and 3 cm wide. What is its area? (a) 20 sq cm (b) 21 sq cm (c) 10 sq cm (d) 28 sq cm
  30. 30.The simple interest on ₹8500 for 3 years is ₹765. What is the rate per year? (a) 4% (b) 2% (c) 9% (d) 3%
  31. 31.6 workers can build a wall in 15 days. How many days will 2 workers take, working at the same speed? (a) 11 days (b) 5 days (c) 45 days (d) 19 days
  32. 32.A batter has an average of 33 runs in 8 matches. How many runs are needed in the next match to raise the average to 41? (a) 41 (b) 72 (c) 105 (d) 49
  33. 33.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) 70 (c) 71 (d) 140
  34. 34.Every pair follows the same rule: 2 : 4, 6 : 36, 9 : 81. What is 4 : ? (a) 8 (b) 6 (c) 16 (d) 17
  35. 35.The average of 4 numbers is 42. When one number is taken away, the average of the rest is 44. Which number was taken away? (a) 36 (b) 86 (c) 37 (d) 42
  36. 36.What is the average of 65, 59, 60, 53, 66 and 105? (a) 70 (b) 69 (c) 67 (d) 68
  37. 37.What is the average of 35, 28, 50, 24, 21 and 52? (a) 36 (b) 42 (c) 34 (d) 35
  38. 38.Every pair follows the same rule: 4 : 16, 7 : 49, 9 : 81. What is 8 : ? (a) 20 (b) 64 (c) 32 (d) 65
  39. 39.Which fraction is greater: 11/12 or 7/8? (a) 7/8 (b) 11/12 (c) They are equal
  40. 40.8.04 + 3.4 = ? (a) 8.38 (b) 11.54 (c) 11.34 (d) 11.44

Answer key

  1. Saturday
  2. 28 days
  3. 13
  4. ₹1050
  5. 64 sq cm
  6. 9
  7. 45 days
  8. 12 days
  9. ₹12
  10. 5
  11. 40
  12. ₹780
  13. ₹144
  14. 6 cm
  15. 49
  16. 85
  17. 169 sq cm
  18. 8
  19. 8
  20. 82
  21. 7/11
  22. 11
  23. 48 cm
  24. 22
  25. 26 cm
  26. 6
  27. 52
  28. 11/15
  29. 21 sq cm
  30. 3%
  31. 45 days
  32. 105
  33. 70
  34. 16
  35. 36
  36. 68
  37. 35
  38. 64
  39. 11/12
  40. 11.44

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