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Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 972 · 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.A shopkeeper buys a toy for ₹580 and sells it for ₹812. What is his profit percent? (a) 35% (b) 40% (c) 41% (d) 45%
  2. 2.7/9 + 3/6 = ? (a) 23/18 (b) 2/3 (c) 11/9 (d) 4/3
  3. 3.If 9 January is a Wednesday, what day of the week is 18 January? (a) Friday (b) Saturday (c) Thursday (d) Sunday
  4. 4.What is the average of 44, 35, 15, 23 and 28? (a) 31 (b) 29 (c) 30 (d) 28
  5. 5.Every pair follows the same rule: 4 : 22, 5 : 27, 7 : 37. What is 2 : ? (a) 13 (b) 11 (c) 12 (d) 20
  6. 6.4.02 + 6.5 = ? (a) 10.52 (b) 10.62 (c) 10.42 (d) 4.67
  7. 7.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) 2 min (b) 120 min (c) 22 min (d) 60 min
  8. 8.A shopkeeper buys a toy for ₹1000 and sells it for ₹850. What is his loss percent? (a) 15% (b) 20% (c) 10% (d) 16%
  9. 9.A teacher has 28 pencils and 63 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 28 (b) 35 (c) 1 (d) 7
  10. 10.3 workers can build a wall in 14 days. How many days will 7 workers take, working at the same speed? (a) 6 days (b) 7 days (c) 18 days (d) 10 days
  11. 11.Which is the greatest: 0.332, 0.041, 0.4, 0.48? (a) 0.332 (b) 0.041 (c) 0.4 (d) 0.48
  12. 12.Every pair follows the same rule: 3 : 9, 7 : 49, 8 : 64. What is 6 : ? (a) 18 (b) 34 (c) 12 (d) 36
  13. 13.Which is the greatest: 0.043, 0.85, 0.8, 0.739? (a) 0.043 (b) 0.85 (c) 0.8 (d) 0.739
  14. 14.If 5x + 7 = 47, what is x? (a) 8 (b) 40 (c) 9 (d) 7
  15. 15.A shopkeeper buys a toy for ₹300 and sells it for ₹225. What is his loss percent? (a) 20% (b) 25% (c) 75% (d) 30%
  16. 16.If 5 pens cost ₹85, how much do 8 pens cost? (a) ₹136 (b) ₹88 (c) ₹153 (d) ₹680
  17. 17.Which is the smallest: 0.86, 0.786, 0.032, 0.8? (a) 0.86 (b) 0.786 (c) 0.032 (d) 0.8
  18. 18.What is the remainder when 276 is divided by 11? (a) 0 (b) 10 (c) 1 (d) 2
  19. 19.Two bells ring every 20 minutes and every 35 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 5 min (b) 55 min (c) 700 min (d) 140 min
  20. 20.What is the smallest number of sweets that can be shared equally among 18 children or among 42 children, with none left over? (a) 252 (b) 60 (c) 756 (d) 126
  21. 21.Which fraction is greater: 3/10 or 2/5? (a) 2/5 (b) They are equal (c) 3/10
  22. 22.If 5x + 1 = 3x + 15, what is x? (a) 9 (b) 7 (c) 6 (d) 8
  23. 23.Which fraction is greater: 2/7 or 5/8? (a) 5/8 (b) They are equal (c) 2/7
  24. 24.Every pair follows the same rule: 3 : 27, 5 : 125, 6 : 216. What is 2 : ? (a) 8 (b) 9 (c) 18 (d) 26
  25. 25.Every pair follows the same rule: 2 : 14, 7 : 29, 8 : 32. What is 3 : ? (a) 18 (b) 17 (c) 21 (d) 15
  26. 26.What is 2/3 of 24? (a) 24 (b) 8 (c) 17 (d) 16
  27. 27.What is the value of the digit 1 in 65.174? (a) 0.01 (b) 0.1 (c) 0.001 (d) 1
  28. 28.2.71 + 9.2 = ? (a) 3.63 (b) 12.01 (c) 11.81 (d) 11.91
  29. 29.If 15 April is a Friday, what day of the week is 20 May? (a) Sunday (b) Friday (c) Thursday (d) Saturday
  30. 30.Which fraction is greater: 4/7 or 5/6? (a) They are equal (b) 4/7 (c) 5/6
  31. 31.Which fraction is greater: 1/6 or 3/5? (a) They are equal (b) 3/5 (c) 1/6
  32. 32.A rectangle is 14 cm long and 2 cm wide. What is its perimeter? (a) 32 cm (b) 30 cm (c) 28 cm (d) 16 cm
  33. 33.Which fraction is greater: 6/11 or 1/6? (a) 1/6 (b) 6/11 (c) They are equal
  34. 34.What is the smallest number of sweets that can be shared equally among 8 children or among 28 children, with none left over? (a) 36 (b) 224 (c) 56 (d) 112
  35. 35.Which fraction is greater: 1/3 or 1/5? (a) They are equal (b) 1/5 (c) 1/3
  36. 36.₹60 is shared between two friends in the ratio 2 : 3. How much is the bigger share? (a) ₹36 (b) ₹30 (c) ₹12 (d) ₹24
  37. 37.If 8x + 17 = 137, what is x? (a) 14 (b) 15 (c) 120 (d) 16
  38. 38.A square has a perimeter of 40 cm. What is its area? (a) 40 sq cm (b) 20 sq cm (c) 121 sq cm (d) 100 sq cm
  39. 39.If 7 May is a Monday, what day of the week is 18 May? (a) Sunday (b) Friday (c) Thursday (d) Saturday
  40. 40.5.44 + 9.2 = ? (a) 6.36 (b) 14.54 (c) 14.74 (d) 14.64

Answer key

  1. 40%
  2. 23/18
  3. Friday
  4. 29
  5. 12
  6. 10.52
  7. 60 min
  8. 15%
  9. 7
  10. 6 days
  11. 0.48
  12. 36
  13. 0.85
  14. 8
  15. 25%
  16. ₹136
  17. 0.032
  18. 1
  19. 140 min
  20. 126
  21. 2/5
  22. 7
  23. 5/8
  24. 8
  25. 17
  26. 16
  27. 0.1
  28. 11.91
  29. Friday
  30. 5/6
  31. 3/5
  32. 32 cm
  33. 6/11
  34. 56
  35. 1/3
  36. ₹36
  37. 15
  38. 100 sq cm
  39. Friday
  40. 14.64

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