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Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 341 · 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.What is 5/6 of 30? (a) 26 (b) 25 (c) 30 (d) 5
  2. 2.A shopkeeper buys a toy for ₹160 and sells it for ₹168. What is his profit percent? (a) 5% (b) 8% (c) 10% (d) 6%
  3. 3.Every pair follows the same rule: 3 : 6, 5 : 10, 8 : 16. What is 2 : ? (a) 5 (b) 3 (c) 6 (d) 4
  4. 4.A rectangle is 8 cm long and 4 cm wide. What is its perimeter? (a) 20 cm (b) 12 cm (c) 32 cm (d) 24 cm
  5. 5.What is the value of the digit 8 in 89.176? (a) 0.8 (b) 8 (c) 80 (d) 0.08
  6. 6.2/8 + 2/8 = ? (a) 3/8 (b) 5/8 (c) 1/4 (d) 1/2
  7. 7.If 2x − 14 = 6, what is x? (a) 20 (b) 11 (c) 9 (d) 10
  8. 8.If 3 March is a Saturday, what day of the week is 13 March? (a) Tuesday (b) Monday (c) Wednesday (d) Thursday
  9. 9.A bag marked ₹780 is sold at a 50% discount. What is its selling price? (a) ₹730 (b) ₹390 (c) ₹1170 (d) ₹391
  10. 10.If 3 October is a Sunday, what day of the week is 11 October? (a) Sunday (b) Wednesday (c) Tuesday (d) Monday
  11. 11.What is the value of the digit 2 in 49.251? (a) 0.2 (b) 0.02 (c) 2 (d) 0.002
  12. 12.Every pair follows the same rule: 7 : 56, 8 : 71, 9 : 88. What is 3 : ? (a) 17 (b) 16 (c) 24 (d) 52
  13. 13.If 2x − 16 = 10, what is x? (a) 26 (b) 14 (c) 13 (d) 12
  14. 14.Every pair follows the same rule: 4 : 8, 5 : 11, 9 : 23. What is 7 : ? (a) 18 (b) 11 (c) 14 (d) 17
  15. 15.If 13 August is a Wednesday, what day of the week is 22 August? (a) Thursday (b) Friday (c) Saturday (d) Sunday
  16. 16.If 8 mangoes cost ₹24, how much do 12 mangoes cost? (a) ₹288 (b) ₹39 (c) ₹28 (d) ₹36
  17. 17.What is the units digit of 7^36? (a) 3 (b) 9 (c) 1 (d) 7
  18. 18.Which of these numbers is divisible by 9? (a) 903 (b) 920 (c) 909 (d) 913
  19. 19.In how many years will ₹1500 earn ₹330 simple interest at 11% per year? (a) 2 years (b) 4 years (c) 3 years (d) 1 year
  20. 20.A square has a perimeter of 20 cm. What is its area? (a) 36 sq cm (b) 20 sq cm (c) 25 sq cm (d) 10 sq cm
  21. 21.Which of these numbers is divisible by 8? (a) 5339 (b) 5344 (c) 5345 (d) 5354
  22. 22.What is the average of 46, 75, 57, 48 and 79? (a) 60 (b) 63 (c) 61 (d) 62
  23. 23.Which is the greatest: 0.025, 0.688, 0.7, 0.77? (a) 0.025 (b) 0.688 (c) 0.7 (d) 0.77
  24. 24.Which of these numbers is divisible by 8? (a) 727 (b) 735 (c) 741 (d) 728
  25. 25.What is the smallest number of sweets that can be shared equally among 4 children or among 6 children, with none left over? (a) 24 (b) 13 (c) 10 (d) 12
  26. 26.What is the smallest number you must add to 118 to make it divisible by 4? (a) 2 (b) 1 (c) 3
  27. 27.What is 40% of 40? (a) 16 (b) 32 (c) 160 (d) 24
  28. 28.Which is the smallest: 0.21, 0.174, 0.026, 0.2? (a) 0.21 (b) 0.174 (c) 0.026 (d) 0.2
  29. 29.What is the simple interest on ₹7500 at 8% per year for 2 years? (a) ₹1200 (b) ₹8700 (c) ₹600 (d) ₹1800
  30. 30.A teacher has 14 pencils and 35 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 14 (b) 21 (c) 7 (d) 1
  31. 31.What is the value of the digit 2 in 67.512? (a) 2 (b) 0.002 (c) 0.02 (d) 0.2
  32. 32.What is the value of the digit 1 in 13.642? (a) 0.1 (b) 1 (c) 10 (d) 0.01
  33. 33.A shopkeeper buys a toy for ₹180 and sells it for ₹252. What is his profit percent? (a) 45% (b) 40% (c) 35% (d) 72%
  34. 34.A rectangle has an area of 99 sq cm and a length of 11 cm. What is its width? (a) 9 cm (b) 18 cm (c) 10 cm (d) 88 cm
  35. 35.Which fraction is greater: 1/4 or 7/11? (a) 7/11 (b) 1/4 (c) They are equal
  36. 36.If x/3 + 2 = 13, what is x? (a) 37 (b) 45 (c) 11 (d) 33
  37. 37.Every pair follows the same rule: 2 : 11, 5 : 14, 9 : 18. What is 7 : ? (a) 18 (b) 17 (c) 16 (d) 15
  38. 38.A batter has an average of 32 runs in 5 matches. How many runs are needed in the next match to raise the average to 38? (a) 44 (b) 36 (c) 68 (d) 38
  39. 39.What is the units digit of 4^20? (a) 5 (b) 7 (c) 6 (d) 4
  40. 40.A bag marked ₹400 is sold at a 20% discount. What is its selling price? (a) ₹380 (b) ₹80 (c) ₹320 (d) ₹480

Answer key

  1. 25
  2. 5%
  3. 4
  4. 24 cm
  5. 80
  6. 1/2
  7. 10
  8. Tuesday
  9. ₹390
  10. Monday
  11. 0.2
  12. 16
  13. 13
  14. 17
  15. Friday
  16. ₹36
  17. 1
  18. 909
  19. 2 years
  20. 25 sq cm
  21. 5344
  22. 61
  23. 0.77
  24. 728
  25. 12
  26. 2
  27. 16
  28. 0.026
  29. ₹1200
  30. 7
  31. 0.002
  32. 10
  33. 40%
  34. 9 cm
  35. 7/11
  36. 33
  37. 16
  38. 68
  39. 6
  40. ₹320

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