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Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 505 · 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 5 notebooks cost ₹35, how much do 6 notebooks cost? (a) ₹49 (b) ₹210 (c) ₹42 (d) ₹36
  2. 2.A rectangle is 8 cm long and 7 cm wide. What is its perimeter? (a) 30 cm (b) 56 cm (c) 23 cm (d) 15 cm
  3. 3.In how many years will ₹1000 earn ₹500 simple interest at 10% per year? (a) 4 years (b) 6 years (c) 10 years (d) 5 years
  4. 4.The average of 5 numbers is 28. When one number is taken away, the average of the rest is 26. Which number was taken away? (a) 54 (b) 28 (c) 10 (d) 36
  5. 5.A rectangle is 7 cm long and 2 cm wide. What is its area? (a) 14 sq cm (b) 21 sq cm (c) 18 sq cm (d) 9 sq cm
  6. 6.What is the simple interest on ₹1500 at 10% per year for 2 years? (a) ₹1800 (b) ₹450 (c) ₹300 (d) ₹150
  7. 7.What is the units digit of 3^51? (a) 7 (b) 3 (c) 1 (d) 9
  8. 8.If x/2 + 7 = 18, what is x? (a) 29 (b) 22 (c) 50 (d) 11
  9. 9.A rectangle is 13 cm long and 2 cm wide. What is its perimeter? (a) 26 cm (b) 28 cm (c) 30 cm (d) 15 cm
  10. 10.What is the smallest number you must add to 484 to make it divisible by 8? (a) 5 (b) 6 (c) 3 (d) 4
  11. 11.Which fraction is greater: 1/6 or 1/7? (a) They are equal (b) 1/6 (c) 1/7
  12. 12.What is the value of the digit 4 in 53.467? (a) 4 (b) 0.4 (c) 0.04 (d) 0.004
  13. 13.If 8x + 8 = 7x + 13, what is x? (a) 6 (b) 5 (c) 21 (d) 7
  14. 14.A bag marked ₹420 is sold at a 20% discount. What is its selling price? (a) ₹504 (b) ₹400 (c) ₹84 (d) ₹336
  15. 15.Every pair follows the same rule: 3 : 10, 5 : 26, 7 : 50. What is 8 : ? (a) 62 (b) 66 (c) 15 (d) 65
  16. 16.What is 4/5 of 10? (a) 2 (b) 9 (c) 8 (d) 10
  17. 17.If 6x + 29 = 41, what is x? (a) 12 (b) 2 (c) 1 (d) 3
  18. 18.1.11 + 9.8 = ? (a) 11.01 (b) 10.81 (c) 10.91 (d) 2.09
  19. 19.3.49 + 2.5 = ? (a) 3.74 (b) 5.89 (c) 5.99 (d) 6.09
  20. 20.2/4 + 2/4 = ? (a) 1/2 (b) 3/4 (c) 1 (d) 5/4
  21. 21.If 11 November is a Saturday, what day of the week is 3 December? (a) Monday (b) Sunday (c) Saturday (d) Tuesday
  22. 22.2/8 + 1/4 = ? (a) 5/8 (b) 1/4 (c) 1/2 (d) 3/8
  23. 23.What is the average of 14, 35, 19, 21, 18 and 67? (a) 28 (b) 30 (c) 31 (d) 29
  24. 24.If 8 March is a Saturday, what day of the week is 19 March? (a) Friday (b) Wednesday (c) Tuesday (d) Thursday
  25. 25.A shopkeeper buys a toy for ₹300 and sells it for ₹390. What is his profit percent? (a) 25% (b) 35% (c) 90% (d) 30%
  26. 26.In how many years will ₹9000 earn ₹720 simple interest at 4% per year? (a) 2 years (b) 3 years (c) 1 year (d) 4 years
  27. 27.A shopkeeper buys a toy for ₹940 and sells it for ₹1034. What is his profit percent? (a) 15% (b) 5% (c) 10% (d) 94%
  28. 28.What is the smallest number of sweets that can be shared equally among 10 children or among 35 children, with none left over? (a) 140 (b) 70 (c) 45 (d) 350
  29. 29.₹400 is shared between two friends in the ratio 1 : 9. How much is the bigger share? (a) ₹200 (b) ₹360 (c) ₹400 (d) ₹40
  30. 30.6 workers can build a wall in 15 days. How many days will 2 workers take, working at the same speed? (a) 19 days (b) 11 days (c) 45 days (d) 5 days
  31. 31.Today is Tuesday. What day of the week will it be after 36 days? (a) Friday (b) Tuesday (c) Wednesday (d) Thursday
  32. 32.What is the average of 24, 31, 16, 13, 23 and 13? (a) 19 (b) 20 (c) 24 (d) 21
  33. 33.If 6 pens cost ₹18, how much do 8 pens cost? (a) ₹24 (b) ₹144 (c) ₹27 (d) ₹20
  34. 34.If 7x + 19 = 6x + 22, what is x? (a) 5 (b) 41 (c) 4 (d) 3
  35. 35.A shopkeeper buys a toy for ₹1000 and sells it for ₹1100. What is his profit percent? (a) 5% (b) 10% (c) 11% (d) 15%
  36. 36.What is the average of 36, 20, 27, 26 and 51? (a) 31 (b) 33 (c) 32 (d) 40
  37. 37.Every pair follows the same rule: 2 : 2, 6 : 10, 7 : 12. What is 3 : ? (a) 6 (b) 4 (c) 5 (d) 3
  38. 38.Today is Monday. What day of the week will it be after 29 days? (a) Wednesday (b) Tuesday (c) Thursday (d) Monday
  39. 39.What is the value of the digit 5 in 68.953? (a) 0.005 (b) 5 (c) 0.5 (d) 0.05
  40. 40.Every pair follows the same rule: 2 : 4, 7 : 49, 9 : 81. What is 3 : ? (a) 9 (b) 5 (c) 10 (d) 6

Answer key

  1. ₹42
  2. 30 cm
  3. 5 years
  4. 36
  5. 14 sq cm
  6. ₹300
  7. 7
  8. 22
  9. 30 cm
  10. 4
  11. 1/6
  12. 0.4
  13. 5
  14. ₹336
  15. 65
  16. 8
  17. 2
  18. 10.91
  19. 5.99
  20. 1
  21. Sunday
  22. 1/2
  23. 29
  24. Wednesday
  25. 30%
  26. 2 years
  27. 10%
  28. 70
  29. ₹360
  30. 45 days
  31. Wednesday
  32. 20
  33. ₹24
  34. 3
  35. 10%
  36. 32
  37. 4
  38. Tuesday
  39. 0.05
  40. 9

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