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Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 151 · 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.Which is the smallest: 0.495, 0.5, 0.043, 0.52? (a) 0.495 (b) 0.5 (c) 0.043 (d) 0.52
  2. 2.If 5x − 40 = 10, what is x? (a) 9 (b) 50 (c) 10 (d) 11
  3. 3.A rectangle is 11 cm long and 5 cm wide. What is its perimeter? (a) 55 cm (b) 16 cm (c) 32 cm (d) 27 cm
  4. 4.A rectangle is 16 cm long and 12 cm wide. What is its area? (a) 28 sq cm (b) 192 sq cm (c) 208 sq cm (d) 56 sq cm
  5. 5.In how many years will ₹4000 earn ₹1280 simple interest at 8% per year? (a) 3 years (b) 8 years (c) 5 years (d) 4 years
  6. 6.A bag marked ₹460 is sold at a 30% discount. What is its selling price? (a) ₹322 (b) ₹138 (c) ₹598 (d) ₹430
  7. 7.₹2500 is invested at 5% per year simple interest. What is the amount after 5 years? (a) ₹3250 (b) ₹2625 (c) ₹3125 (d) ₹625
  8. 8.Two bells ring every 10 minutes and every 35 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 70 min (b) 350 min (c) 45 min (d) 5 min
  9. 9.Which fraction is greater: 2/3 or 7/9? (a) 2/3 (b) They are equal (c) 7/9
  10. 10.A rectangle is 7 cm long and 2 cm wide. What is its area? (a) 21 sq cm (b) 9 sq cm (c) 18 sq cm (d) 14 sq cm
  11. 11.Which is the greatest: 0.076, 0.454, 0.57, 0.5? (a) 0.076 (b) 0.454 (c) 0.57 (d) 0.5
  12. 12.What is the smallest number you must add to 105 to make it divisible by 4? (a) 1 (b) 2 (c) 3
  13. 13.A shopkeeper buys a toy for ₹480 and sells it for ₹576. What is his profit percent? (a) 96% (b) 25% (c) 20% (d) 15%
  14. 14.If 28 May is a Sunday, what day of the week is 11 June? (a) Saturday (b) Monday (c) Tuesday (d) Sunday
  15. 15.What is 3/7 of 84? (a) 48 (b) 37 (c) 36 (d) 12
  16. 16.Which is the greatest: 0.068, 0.48, 0.359, 0.4? (a) 0.068 (b) 0.48 (c) 0.359 (d) 0.4
  17. 17.Two bells ring every 24 minutes and every 30 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 720 min (b) 120 min (c) 6 min (d) 54 min
  18. 18.A teacher has 55 pencils and 88 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 1 (b) 33 (c) 11 (d) 55
  19. 19.A rectangle is 8 cm long and 7 cm wide. What is its area? (a) 56 sq cm (b) 64 sq cm (c) 30 sq cm (d) 15 sq cm
  20. 20.If 1 January is a Monday, what day of the week is 17 January? (a) Tuesday (b) Wednesday (c) Friday (d) Thursday
  21. 21.If 2x − 4 = 10, what is x? (a) 8 (b) 3 (c) 14 (d) 7
  22. 22.Today is Wednesday. What day of the week will it be after 71 days? (a) Saturday (b) Wednesday (c) Thursday (d) Friday
  23. 23.A teacher has 18 pencils and 81 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 18 (b) 63 (c) 3 (d) 9
  24. 24.What is the units digit of 2^25? (a) 8 (b) 4 (c) 6 (d) 2
  25. 25.If 21 April is a Tuesday, what day of the week is 7 May? (a) Thursday (b) Wednesday (c) Saturday (d) Friday
  26. 26.Which is the smallest: 0.042, 0.3, 0.265, 0.33? (a) 0.042 (b) 0.3 (c) 0.265 (d) 0.33
  27. 27.Which fraction is greater: 1/6 or 2/3? (a) 1/6 (b) They are equal (c) 2/3
  28. 28.Which fraction is greater: 1/3 or 7/10? (a) They are equal (b) 1/3 (c) 7/10
  29. 29.A shopkeeper buys a toy for ₹700 and sells it for ₹735. What is his profit percent? (a) 10% (b) 35% (c) 6% (d) 5%
  30. 30.Every pair follows the same rule: 3 : 7, 4 : 12, 7 : 27. What is 6 : ? (a) 10 (b) 21 (c) 23 (d) 22
  31. 31.Which fraction is greater: 2/7 or 1/3? (a) 2/7 (b) 1/3 (c) They are equal
  32. 32.Every pair follows the same rule: 3 : 10, 7 : 18, 8 : 20. What is 4 : ? (a) 13 (b) 11 (c) 14 (d) 12
  33. 33.What is the average of all the whole numbers from 47 to 57? (a) 5 (b) 10 (c) 53 (d) 52
  34. 34.If 4 notebooks cost ₹80, how much do 2 notebooks cost? (a) ₹78 (b) ₹160 (c) ₹40 (d) ₹60
  35. 35.What is the smallest number of sweets that can be shared equally among 12 children or among 14 children, with none left over? (a) 85 (b) 168 (c) 84 (d) 26
  36. 36.Every pair follows the same rule: 2 : 12, 5 : 30, 8 : 48. What is 4 : ? (a) 24 (b) 23 (c) 14 (d) 25
  37. 37.A shopkeeper buys a toy for ₹820 and sells it for ₹1148. What is his profit percent? (a) 45% (b) 41% (c) 40% (d) 35%
  38. 38.If x/5 + 8 = 15, what is x? (a) 115 (b) 7 (c) 67 (d) 35
  39. 39.What is the units digit of 3^21? (a) 7 (b) 3 (c) 9 (d) 1
  40. 40.What is the smallest number of sweets that can be shared equally among 6 children or among 21 children, with none left over? (a) 126 (b) 27 (c) 42 (d) 84

Answer key

  1. 0.043
  2. 10
  3. 32 cm
  4. 192 sq cm
  5. 4 years
  6. ₹322
  7. ₹3125
  8. 70 min
  9. 7/9
  10. 14 sq cm
  11. 0.57
  12. 3
  13. 20%
  14. Sunday
  15. 36
  16. 0.48
  17. 120 min
  18. 11
  19. 56 sq cm
  20. Wednesday
  21. 7
  22. Thursday
  23. 9
  24. 2
  25. Thursday
  26. 0.042
  27. 2/3
  28. 7/10
  29. 5%
  30. 22
  31. 1/3
  32. 12
  33. 52
  34. ₹40
  35. 84
  36. 24
  37. 40%
  38. 35
  39. 3
  40. 42

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