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Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 87 · 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 21 January is a Tuesday, what day of the week is 13 February? (a) Thursday (b) Wednesday (c) Friday (d) Saturday
  2. 2.A batter has an average of 41 runs in 9 matches. How many runs are needed in the next match to raise the average to 44? (a) 30 (b) 71 (c) 47 (d) 44
  3. 3.If 3x − 3 = 6, what is x? (a) 1 (b) 9 (c) 3 (d) 4
  4. 4.If 4x + 4 = 56, what is x? (a) 52 (b) 14 (c) 15 (d) 13
  5. 5.What is 1/3 of 18? (a) 7 (b) 5 (c) 12 (d) 6
  6. 6.A rectangle is 11 cm long and 4 cm wide. What is its perimeter? (a) 30 cm (b) 26 cm (c) 44 cm (d) 15 cm
  7. 7.What is the simple interest on ₹1500 at 9% per year for 4 years? (a) ₹135 (b) ₹540 (c) ₹675 (d) ₹2040
  8. 8.Every pair follows the same rule: 2 : 1, 3 : 6, 8 : 61. What is 4 : ? (a) 14 (b) 17 (c) 13 (d) 12
  9. 9.Every pair follows the same rule: 4 : 17, 7 : 32, 9 : 42. What is 5 : ? (a) 23 (b) 18 (c) 22 (d) 21
  10. 10.A square has a perimeter of 20 cm. What is its area? (a) 25 sq cm (b) 10 sq cm (c) 36 sq cm (d) 20 sq cm
  11. 11.If 6x + 17 = 101, what is x? (a) 84 (b) 14 (c) 15 (d) 13
  12. 12.What is the units digit of 2^12? (a) 4 (b) 8 (c) 6 (d) 2
  13. 13.A shopkeeper buys a toy for ₹700 and sells it for ₹665. What is his loss percent? (a) 10% (b) 5% (c) 6% (d) 35%
  14. 14.If 2x − 11 = 13, what is x? (a) 24 (b) 12 (c) 1 (d) 13
  15. 15.The simple interest on ₹2500 for 3 years is ₹750. What is the rate per year? (a) 10% (b) 30% (c) 9% (d) 11%
  16. 16.3 workers can build a wall in 12 days. How many days will 2 workers take, working at the same speed? (a) 11 days (b) 8 days (c) 13 days (d) 18 days
  17. 17.What is the smallest number of sweets that can be shared equally among 18 children or among 30 children, with none left over? (a) 540 (b) 48 (c) 180 (d) 90
  18. 18.What is the smallest number you must add to 71 to make it divisible by 5? (a) 4 (b) 3 (c) 1 (d) 2
  19. 19.If 7 March is a Thursday, what day of the week is 15 March? (a) Thursday (b) Sunday (c) Saturday (d) Friday
  20. 20.If 6x + 27 = 87, what is x? (a) 11 (b) 10 (c) 60 (d) 19
  21. 21.What is the smallest number of sweets that can be shared equally among 6 children or among 9 children, with none left over? (a) 15 (b) 54 (c) 36 (d) 18
  22. 22.Every pair follows the same rule: 4 : 8, 5 : 9, 8 : 12. What is 3 : ? (a) 9 (b) 8 (c) 6 (d) 7
  23. 23.3/5 + 1/2 = ? (a) 6/5 (b) 1 (c) 11/10 (d) 4/7
  24. 24.In how many years will ₹8000 earn ₹2880 simple interest at 9% per year? (a) 5 years (b) 8 years (c) 3 years (d) 4 years
  25. 25.A shopkeeper buys a toy for ₹880 and sells it for ₹1012. What is his profit percent? (a) 16% (b) 10% (c) 20% (d) 15%
  26. 26.A shopkeeper buys a toy for ₹120 and sells it for ₹138. What is his profit percent? (a) 20% (b) 18% (c) 10% (d) 15%
  27. 27.Which of these numbers is divisible by 3? (a) 248 (b) 253 (c) 251 (d) 249
  28. 28.A rectangle is 13 cm long and 4 cm wide. What is its area? (a) 17 sq cm (b) 34 sq cm (c) 65 sq cm (d) 52 sq cm
  29. 29.A shopkeeper buys a toy for ₹660 and sells it for ₹858. What is his profit percent? (a) 35% (b) 25% (c) 31% (d) 30%
  30. 30.A shopkeeper buys a toy for ₹160 and sells it for ₹120. What is his loss percent? (a) 40% (b) 20% (c) 30% (d) 25%
  31. 31.A shopkeeper buys a toy for ₹340 and sells it for ₹238. What is his loss percent? (a) 30% (b) 35% (c) 31% (d) 25%
  32. 32.If 4 March is a Wednesday, what day of the week is 18 March? (a) Thursday (b) Tuesday (c) Wednesday (d) Friday
  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) 71 (b) 70 (c) 24 (d) 140
  34. 34.A shopkeeper buys a toy for ₹980 and sells it for ₹931. What is his loss percent? (a) 49% (b) 10% (c) 5% (d) 6%
  35. 35.What is the value of the digit 4 in 64.983? (a) 40 (b) 0.4 (c) 0.04 (d) 4
  36. 36.What is the value of the digit 2 in 21.658? (a) 0.2 (b) 2 (c) 20 (d) 0.02
  37. 37.What is 1/2 of 14? (a) 14 (b) 6 (c) 7 (d) 8
  38. 38.A square has a perimeter of 44 cm. What is its area? (a) 22 sq cm (b) 144 sq cm (c) 121 sq cm (d) 44 sq cm
  39. 39.The average of 7 numbers is 23. When one number is taken away, the average of the rest is 20. Which number was taken away? (a) 43 (b) 23 (c) 41 (d) 21
  40. 40.Every pair follows the same rule: 2 : 18, 3 : 27, 8 : 72. What is 9 : ? (a) 25 (b) 80 (c) 81 (d) 82

Answer key

  1. Thursday
  2. 71
  3. 3
  4. 13
  5. 6
  6. 30 cm
  7. ₹540
  8. 13
  9. 22
  10. 25 sq cm
  11. 14
  12. 6
  13. 5%
  14. 12
  15. 10%
  16. 18 days
  17. 90
  18. 4
  19. Friday
  20. 10
  21. 18
  22. 7
  23. 11/10
  24. 4 years
  25. 15%
  26. 15%
  27. 249
  28. 52 sq cm
  29. 30%
  30. 25%
  31. 30%
  32. Wednesday
  33. 70
  34. 5%
  35. 4
  36. 20
  37. 7
  38. 121 sq cm
  39. 41
  40. 81

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