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Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 110 · 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 9 December is a Thursday, what day of the week is 25 December? (a) Saturday (b) Monday (c) Sunday (d) Friday
  2. 2.1.25 + 2.1 = ? (a) 3.25 (b) 1.46 (c) 3.35 (d) 3.45
  3. 3.3/5 + 1/6 = ? (a) 23/30 (b) 4/5 (c) 11/15 (d) 4/11
  4. 4.1/3 + 1/3 = ? (a) 1/3 (b) 4/3 (c) 2/3 (d) 1
  5. 5.Which fraction is greater: 2/5 or 1/3? (a) 1/3 (b) 2/5 (c) They are equal
  6. 6.Every pair follows the same rule: 2 : 4, 3 : 9, 9 : 81. What is 4 : ? (a) 16 (b) 6 (c) 8 (d) 21
  7. 7.In how many years will ₹8500 earn ₹2295 simple interest at 9% per year? (a) 2 years (b) 4 years (c) 6 years (d) 3 years
  8. 8.The average of 4 numbers is 45. When one number is taken away, the average of the rest is 48. Which number was taken away? (a) 93 (b) 37 (c) 36 (d) 45
  9. 9.1/2 + 1/2 = ? (a) 1/2 (b) 3/2 (c) 2 (d) 1
  10. 10.A rectangle is 10 cm long and 7 cm wide. What is its perimeter? (a) 34 cm (b) 27 cm (c) 70 cm (d) 17 cm
  11. 11.A teacher has 10 pencils and 15 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 1 (b) 5 (c) 30 (d) 10
  12. 12.What is the units digit of 4^25? (a) 5 (b) 4 (c) 6 (d) 3
  13. 13.What is the average of 14, 15, 33 and 26? (a) 21 (b) 23 (c) 24 (d) 22
  14. 14.4 workers can build a wall in 10 days. How many days will 5 workers take, working at the same speed? (a) 11 days (b) 8 days (c) 7 days (d) 9 days
  15. 15.A bag marked ₹720 is sold at a 25% discount. What is its selling price? (a) ₹695 (b) ₹180 (c) ₹900 (d) ₹540
  16. 16.Which fraction is greater: 2/7 or 1/4? (a) They are equal (b) 2/7 (c) 1/4
  17. 17.A rectangle has an area of 200 sq cm and a length of 20 cm. What is its width? (a) 10 cm (b) 180 cm (c) 11 cm (d) 20 cm
  18. 18.₹560 is shared between two friends in the ratio 5 : 9. How much is the bigger share? (a) ₹40 (b) ₹360 (c) ₹200 (d) ₹280
  19. 19.A batter has an average of 46 runs in 5 matches. How many runs are needed in the next match to raise the average to 52? (a) 52 (b) 36 (c) 82 (d) 58
  20. 20.In how many years will ₹7500 earn ₹3000 simple interest at 8% per year? (a) 4 years (b) 10 years (c) 6 years (d) 5 years
  21. 21.A square has a perimeter of 36 cm. What is its area? (a) 36 sq cm (b) 100 sq cm (c) 81 sq cm (d) 18 sq cm
  22. 22.What is the smallest number of sweets that can be shared equally among 8 children or among 14 children, with none left over? (a) 57 (b) 22 (c) 112 (d) 56
  23. 23.Which is the greatest: 0.29, 0.122, 0.2, 0.022? (a) 0.29 (b) 0.122 (c) 0.2 (d) 0.022
  24. 24.What is the average of 77, 78, 86, 65 and 54? (a) 90 (b) 71 (c) 73 (d) 72
  25. 25.If 4 pens cost ₹32, how much do 2 pens cost? (a) ₹24 (b) ₹30 (c) ₹64 (d) ₹16
  26. 26.If x/3 + 15 = 19, what is x? (a) 12 (b) 4 (c) 102 (d) 42
  27. 27.If 7x + 6 = x + 78, what is x? (a) 14 (b) 9 (c) 13 (d) 12
  28. 28.Every pair follows the same rule: 3 : 17, 4 : 24, 8 : 72. What is 6 : ? (a) 44 (b) 45 (c) 48 (d) 20
  29. 29.Two bells ring every 8 minutes and every 12 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 96 min (b) 4 min (c) 20 min (d) 24 min
  30. 30.If 6x + 22 = 100, what is x? (a) 14 (b) 13 (c) 78 (d) 12
  31. 31.Every pair follows the same rule: 2 : 1, 3 : 6, 7 : 46. What is 5 : ? (a) 23 (b) 21 (c) 26 (d) 22
  32. 32.Which fraction is greater: 7/8 or 1/7? (a) They are equal (b) 1/7 (c) 7/8
  33. 33.What is the value of the digit 1 in 26.541? (a) 0.001 (b) 0.01 (c) 0.1 (d) 1
  34. 34.If 3x + 4 = 16, what is x? (a) 3 (b) 12 (c) 4 (d) 5
  35. 35.A rectangle is 7 cm long and 3 cm wide. What is its perimeter? (a) 20 cm (b) 17 cm (c) 10 cm (d) 21 cm
  36. 36.If 8x + 2 = 3x + 47, what is x? (a) 9 (b) 11 (c) 8 (d) 10
  37. 37.What is the average of 68, 59, 82, 54 and 82? (a) 71 (b) 69 (c) 68 (d) 70
  38. 38.Today is Friday. What day of the week will it be after 71 days? (a) Saturday (b) Sunday (c) Friday (d) Monday
  39. 39.A shopkeeper buys a toy for ₹880 and sells it for ₹528. What is his loss percent? (a) 45% (b) 35% (c) 41% (d) 40%
  40. 40.If 31 October is a Thursday, what day of the week is 13 November? (a) Wednesday (b) Friday (c) Tuesday (d) Thursday

Answer key

  1. Saturday
  2. 3.35
  3. 23/30
  4. 2/3
  5. 2/5
  6. 16
  7. 3 years
  8. 36
  9. 1
  10. 34 cm
  11. 5
  12. 4
  13. 22
  14. 8 days
  15. ₹540
  16. 2/7
  17. 10 cm
  18. ₹360
  19. 82
  20. 5 years
  21. 81 sq cm
  22. 56
  23. 0.29
  24. 72
  25. ₹16
  26. 12
  27. 12
  28. 44
  29. 24 min
  30. 13
  31. 22
  32. 7/8
  33. 0.001
  34. 4
  35. 20 cm
  36. 9
  37. 69
  38. Saturday
  39. 40%
  40. Wednesday

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