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Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 876 · 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 the units digit of 3^30? (a) 1 (b) 3 (c) 7 (d) 9
  2. 2.What is the smallest number of sweets that can be shared equally among 8 children or among 20 children, with none left over? (a) 28 (b) 160 (c) 40 (d) 80
  3. 3.A teacher has 10 pencils and 18 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 10 (b) 1 (c) 2 (d) 8
  4. 4.Which is the greatest: 0.6, 0.087, 0.63, 0.516? (a) 0.6 (b) 0.087 (c) 0.63 (d) 0.516
  5. 5.If 8x + 16 = 40, what is x? (a) 3 (b) 24 (c) 7 (d) 4
  6. 6.If x/3 + 3 = 5, what is x? (a) 2 (b) 12 (c) 24 (d) 6
  7. 7.Every pair follows the same rule: 4 : 13, 6 : 21, 7 : 25. What is 5 : ? (a) 17 (b) 16 (c) 14 (d) 18
  8. 8.5 workers can build a wall in 15 days. How many days will 3 workers take, working at the same speed? (a) 25 days (b) 13 days (c) 17 days (d) 9 days
  9. 9.What is 1/2 of 24? (a) 13 (b) 24 (c) 11 (d) 12
  10. 10.Which fraction is greater: 4/11 or 3/4? (a) They are equal (b) 4/11 (c) 3/4
  11. 11.3/8 + 2/8 = ? (a) 1/2 (b) 3/4 (c) 5/8 (d) 5/16
  12. 12.A bag marked ₹1760 is sold at a 10% discount. What is its selling price? (a) ₹176 (b) ₹1936 (c) ₹1584 (d) ₹1750
  13. 13.What is the smallest number of sweets that can be shared equally among 6 children or among 10 children, with none left over? (a) 16 (b) 31 (c) 30 (d) 60
  14. 14.Every pair follows the same rule: 2 : 13, 6 : 45, 7 : 58. What is 5 : ? (a) 16 (b) 32 (c) 35 (d) 34
  15. 15.Which fraction is greater: 5/6 or 1/3? (a) 1/3 (b) They are equal (c) 5/6
  16. 16.If 23 July is a Sunday, what day of the week is 17 August? (a) Wednesday (b) Thursday (c) Saturday (d) Friday
  17. 17.What is the average of all the whole numbers from 28 to 38? (a) 10 (b) 34 (c) 5 (d) 33
  18. 18.What is the smallest number of sweets that can be shared equally among 16 children or among 20 children, with none left over? (a) 320 (b) 80 (c) 160 (d) 36
  19. 19.A teacher has 28 pencils and 36 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 4 (b) 2 (c) 28 (d) 8
  20. 20.A square has a perimeter of 24 cm. What is its area? (a) 49 sq cm (b) 24 sq cm (c) 36 sq cm (d) 12 sq cm
  21. 21.A teacher has 4 pencils and 10 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 4 (b) 2 (c) 6 (d) 1
  22. 22.Every pair follows the same rule: 2 : 1, 5 : 16, 8 : 31. What is 9 : ? (a) 37 (b) 36 (c) 38 (d) 35
  23. 23.₹468 is shared between two friends in the ratio 4 : 9. How much is the bigger share? (a) ₹144 (b) ₹234 (c) ₹36 (d) ₹324
  24. 24.If 4x − 1 = 7, what is x? (a) 1 (b) 2 (c) 8 (d) 3
  25. 25.If 4 mangoes cost ₹36, how much do 2 mangoes cost? (a) ₹18 (b) ₹34 (c) ₹72 (d) ₹27
  26. 26.Two bells ring every 6 minutes and every 15 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 30 min (b) 21 min (c) 90 min (d) 3 min
  27. 27.In how many years will ₹6000 earn ₹1200 simple interest at 10% per year? (a) 2 years (b) 4 years (c) 3 years (d) 1 year
  28. 28.What is the smallest number of sweets that can be shared equally among 15 children or among 25 children, with none left over? (a) 150 (b) 375 (c) 75 (d) 40
  29. 29.Every pair follows the same rule: 3 : 21, 4 : 25, 8 : 41. What is 5 : ? (a) 35 (b) 29 (c) 30 (d) 23
  30. 30.What is the remainder when 145 is divided by 3? (a) 2 (b) 1 (c) 0
  31. 31.Which is the smallest: 0.023, 0.2, 0.132, 0.22? (a) 0.023 (b) 0.2 (c) 0.132 (d) 0.22
  32. 32.If 8 pens cost ₹120, how much do 10 pens cost? (a) ₹150 (b) ₹122 (c) ₹165 (d) ₹1200
  33. 33.Which is the smallest: 0.643, 0.72, 0.055, 0.7? (a) 0.643 (b) 0.72 (c) 0.055 (d) 0.7
  34. 34.A shopkeeper buys a toy for ₹400 and sells it for ₹520. What is his profit percent? (a) 31% (b) 25% (c) 35% (d) 30%
  35. 35.What is 25% of 720? (a) 180 (b) 1800 (c) 360 (d) 540
  36. 36.If 2x + 20 = 32, what is x? (a) 26 (b) 12 (c) 6 (d) 7
  37. 37.₹84 is shared between two friends in the ratio 5 : 7. How much is the bigger share? (a) ₹49 (b) ₹7 (c) ₹35 (d) ₹42
  38. 38.A shopkeeper buys a toy for ₹380 and sells it for ₹456. What is his profit percent? (a) 15% (b) 76% (c) 20% (d) 25%
  39. 39.If 16 May is a Thursday, what day of the week is 1 June? (a) Saturday (b) Sunday (c) Friday (d) Monday
  40. 40.If x/4 + 7 = 10, what is x? (a) 33 (b) 3 (c) 12 (d) 68

Answer key

  1. 9
  2. 40
  3. 2
  4. 0.63
  5. 3
  6. 6
  7. 17
  8. 25 days
  9. 12
  10. 3/4
  11. 5/8
  12. ₹1584
  13. 30
  14. 34
  15. 5/6
  16. Thursday
  17. 33
  18. 80
  19. 4
  20. 36 sq cm
  21. 2
  22. 36
  23. ₹324
  24. 2
  25. ₹18
  26. 30 min
  27. 2 years
  28. 75
  29. 29
  30. 1
  31. 0.023
  32. ₹150
  33. 0.055
  34. 30%
  35. 180
  36. 6
  37. ₹49
  38. 20%
  39. Saturday
  40. 12

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