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Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 929 · 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.Every pair follows the same rule: 2 : 12, 5 : 33, 6 : 44. What is 9 : ? (a) 77 (b) 54 (c) 89 (d) 19
  2. 2.Which is the greatest: 0.027, 0.8, 0.87, 0.725? (a) 0.027 (b) 0.8 (c) 0.87 (d) 0.725
  3. 3.A shopkeeper buys a toy for ₹900 and sells it for ₹855. What is his loss percent? (a) 6% (b) 45% (c) 10% (d) 5%
  4. 4.What is the smallest number of sweets that can be shared equally among 9 children or among 12 children, with none left over? (a) 108 (b) 72 (c) 21 (d) 36
  5. 5.A rectangle is 13 cm long and 4 cm wide. What is its area? (a) 65 sq cm (b) 17 sq cm (c) 52 sq cm (d) 34 sq cm
  6. 6.What is 10% of 740? (a) 740 (b) 666 (c) 148 (d) 74
  7. 7.If 9x + 27 = 72, what is x? (a) 6 (b) 11 (c) 45 (d) 5
  8. 8.A teacher has 12 pencils and 18 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 3 (b) 36 (c) 12 (d) 6
  9. 9.If 14 September is a Saturday, what day of the week is 8 October? (a) Wednesday (b) Thursday (c) Tuesday (d) Monday
  10. 10.Which is the greatest: 0.66, 0.545, 0.6, 0.081? (a) 0.66 (b) 0.545 (c) 0.6 (d) 0.081
  11. 11.What is the average of 34, 45, 45, 47, 41 and 10? (a) 37 (b) 39 (c) 36 (d) 38
  12. 12.A square has a perimeter of 52 cm. What is its area? (a) 26 sq cm (b) 196 sq cm (c) 52 sq cm (d) 169 sq cm
  13. 13.If 6x + 8 = 2x + 44, what is x? (a) 10 (b) 9 (c) 13 (d) 11
  14. 14.A shopkeeper buys a toy for ₹800 and sells it for ₹1040. What is his profit percent? (a) 30% (b) 25% (c) 31% (d) 35%
  15. 15.2/3 + 3/6 = ? (a) 4/3 (b) 5/9 (c) 1 (d) 7/6
  16. 16.A rectangle is 15 cm long and 11 cm wide. What is its area? (a) 26 sq cm (b) 180 sq cm (c) 52 sq cm (d) 165 sq cm
  17. 17.A bag marked ₹900 is sold at a 25% discount. What is its selling price? (a) ₹875 (b) ₹675 (c) ₹1125 (d) ₹225
  18. 18.A batter has an average of 38 runs in 8 matches. How many runs are needed in the next match to raise the average to 40? (a) 40 (b) 56 (c) 42 (d) 18
  19. 19.Two bells ring every 20 minutes and every 28 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 140 min (b) 48 min (c) 4 min (d) 560 min
  20. 20.A rectangle is 16 cm long and 2 cm wide. What is its perimeter? (a) 18 cm (b) 36 cm (c) 34 cm (d) 32 cm
  21. 21.What is the simple interest on ₹2000 at 10% per year for 5 years? (a) ₹1000 (b) ₹3000 (c) ₹200 (d) ₹1200
  22. 22.What is the smallest number of sweets that can be shared equally among 9 children or among 15 children, with none left over? (a) 45 (b) 24 (c) 135 (d) 90
  23. 23.If 12 August is a Monday, what day of the week is 9 September? (a) Monday (b) Wednesday (c) Sunday (d) Tuesday
  24. 24.If 6x − 9 = 3, what is x? (a) 1 (b) 2 (c) 3 (d) 12
  25. 25.What is the units digit of 8^54? (a) 4 (b) 2 (c) 8 (d) 6
  26. 26.A batter has an average of 29 runs in 9 matches. How many runs are needed in the next match to raise the average to 34? (a) 79 (b) 50 (c) 34 (d) 39
  27. 27.Which fraction is greater: 3/5 or 1/4? (a) They are equal (b) 1/4 (c) 3/5
  28. 28.A rectangle is 9 cm long and 8 cm wide. What is its perimeter? (a) 26 cm (b) 72 cm (c) 34 cm (d) 17 cm
  29. 29.Every pair follows the same rule: 2 : 16, 7 : 56, 9 : 72. What is 6 : ? (a) 47 (b) 49 (c) 48 (d) 20
  30. 30.What is the value of the digit 6 in 36.451? (a) 0.06 (b) 0.6 (c) 6 (d) 60
  31. 31.If 8 July is a Monday, what day of the week is 16 July? (a) Tuesday (b) Thursday (c) Wednesday (d) Monday
  32. 32.Every pair follows the same rule: 3 : 11, 6 : 14, 7 : 15. What is 8 : ? (a) 16 (b) 18 (c) 17 (d) 15
  33. 33.Two bells ring every 10 minutes and every 12 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 22 min (b) 2 min (c) 60 min (d) 120 min
  34. 34.Which fraction is greater: 1/3 or 2/11? (a) 2/11 (b) They are equal (c) 1/3
  35. 35.If 4 December is a Monday, what day of the week is 19 December? (a) Wednesday (b) Tuesday (c) Monday (d) Thursday
  36. 36.What is the smallest number of sweets that can be shared equally among 18 children or among 42 children, with none left over? (a) 60 (b) 126 (c) 756 (d) 252
  37. 37.What is the remainder when 776 is divided by 11? (a) 5 (b) 8 (c) 7 (d) 6
  38. 38.5.33 + 8.1 = ? (a) 13.33 (b) 6.14 (c) 13.53 (d) 13.43
  39. 39.If 8 pens cost ₹120, how much do 9 pens cost? (a) ₹1080 (b) ₹121 (c) ₹135 (d) ₹150
  40. 40.Which fraction is greater: 1/5 or 3/4? (a) 1/5 (b) They are equal (c) 3/4

Answer key

  1. 89
  2. 0.87
  3. 5%
  4. 36
  5. 52 sq cm
  6. 74
  7. 5
  8. 6
  9. Tuesday
  10. 0.66
  11. 37
  12. 169 sq cm
  13. 9
  14. 30%
  15. 7/6
  16. 165 sq cm
  17. ₹675
  18. 56
  19. 140 min
  20. 36 cm
  21. ₹1000
  22. 45
  23. Monday
  24. 2
  25. 4
  26. 79
  27. 3/5
  28. 34 cm
  29. 48
  30. 6
  31. Tuesday
  32. 16
  33. 60 min
  34. 1/3
  35. Tuesday
  36. 126
  37. 6
  38. 13.43
  39. ₹135
  40. 3/4

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