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Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 921 · 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. 1.1.03 + 5.5 = ? (a) 6.53 (b) 6.43 (c) 1.58 (d) 6.63
  2. 2.7.62 + 2.1 = ? (a) 7.83 (b) 9.62 (c) 9.82 (d) 9.72
  3. 3.3.45 + 8.1 = ? (a) 4.26 (b) 11.65 (c) 11.55 (d) 11.45
  4. 4.Every pair follows the same rule: 2 : 14, 4 : 28, 9 : 63. What is 8 : ? (a) 55 (b) 20 (c) 56 (d) 57
  5. 5.If 5x + 7 = 57, what is x? (a) 50 (b) 10 (c) 9 (d) 11
  6. 6.In how many years will ₹10000 earn ₹900 simple interest at 3% per year? (a) 6 years (b) 3 years (c) 2 years (d) 4 years
  7. 7.Two bells ring every 15 minutes and every 18 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 33 min (b) 3 min (c) 90 min (d) 270 min
  8. 8.If 3x + 17 = 41, what is x? (a) 7 (b) 24 (c) 8 (d) 9
  9. 9.What is the smallest number of sweets that can be shared equally among 10 children or among 15 children, with none left over? (a) 30 (b) 60 (c) 25 (d) 150
  10. 10.A bag marked ₹360 is sold at a 15% discount. What is its selling price? (a) ₹345 (b) ₹54 (c) ₹414 (d) ₹306
  11. 11.What is the average of all the whole numbers from 34 to 66? (a) 51 (b) 50 (c) 32 (d) 16
  12. 12.Two ribbons are 16 cm and 18 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 16 cm (b) 1 cm (c) 2 cm (d) 144 cm
  13. 13.A rectangle is 10 cm long and 8 cm wide. What is its perimeter? (a) 80 cm (b) 28 cm (c) 36 cm (d) 18 cm
  14. 14.What is the units digit of 8^32? (a) 2 (b) 4 (c) 6 (d) 8
  15. 15.Every pair follows the same rule: 2 : 3, 3 : 8, 6 : 35. What is 9 : ? (a) 81 (b) 10 (c) 62 (d) 80
  16. 16.A teacher has 21 pencils and 24 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 21 (b) 3 (c) 168 (d) 1
  17. 17.Which is the greatest: 0.6, 0.63, 0.059, 0.551? (a) 0.6 (b) 0.63 (c) 0.059 (d) 0.551
  18. 18.The average of 5 numbers is 40. When one number is taken away, the average of the rest is 35. Which number was taken away? (a) 40 (b) 75 (c) 60 (d) 25
  19. 19.Every pair follows the same rule: 2 : 1, 4 : 7, 9 : 22. What is 8 : ? (a) 21 (b) 18 (c) 19 (d) 20
  20. 20.In how many years will ₹2000 earn ₹700 simple interest at 7% per year? (a) 5 years (b) 6 years (c) 10 years (d) 4 years
  21. 21.5.06 + 3.5 = ? (a) 5.41 (b) 8.66 (c) 8.56 (d) 8.46
  22. 22.₹273 is shared between two friends in the ratio 2 : 5. How much is the bigger share? (a) ₹78 (b) ₹234 (c) ₹195 (d) ₹39
  23. 23.What is the average of 75, 70, 73 and 42? (a) 67 (b) 65 (c) 66 (d) 64
  24. 24.If 2x − 1 = 9, what is x? (a) 6 (b) 4 (c) 10 (d) 5
  25. 25.A shopkeeper buys a toy for ₹740 and sells it for ₹666. What is his loss percent? (a) 15% (b) 74% (c) 5% (d) 10%
  26. 26.If 9x − 13 = 14, what is x? (a) 27 (b) 4 (c) 2 (d) 3
  27. 27.1/2 + 3/7 = ? (a) 4/9 (b) 13/14 (c) 1 (d) 6/7
  28. 28.₹240 is shared between two friends in the ratio 3 : 5. How much is the bigger share? (a) ₹120 (b) ₹150 (c) ₹30 (d) ₹90
  29. 29.A rectangle is 8 cm long and 4 cm wide. What is its area? (a) 12 sq cm (b) 24 sq cm (c) 32 sq cm (d) 40 sq cm
  30. 30.The average of 7 numbers is 38. When one number is taken away, the average of the rest is 34. Which number was taken away? (a) 38 (b) 28 (c) 72 (d) 62
  31. 31.If 4x + 27 = 79, what is x? (a) 13 (b) 14 (c) 52 (d) 12
  32. 32.2.97 + 2.6 = ? (a) 5.47 (b) 5.57 (c) 3.23 (d) 5.67
  33. 33.A bag marked ₹340 is sold at a 25% discount. What is its selling price? (a) ₹255 (b) ₹85 (c) ₹315 (d) ₹425
  34. 34.₹352 is shared between two friends in the ratio 1 : 7. How much is the bigger share? (a) ₹44 (b) ₹352 (c) ₹176 (d) ₹308
  35. 35.In how many years will ₹1000 earn ₹160 simple interest at 4% per year? (a) 8 years (b) 3 years (c) 5 years (d) 4 years
  36. 36.A rectangle is 11 cm long and 4 cm wide. What is its area? (a) 55 sq cm (b) 15 sq cm (c) 44 sq cm (d) 30 sq cm
  37. 37.What is the smallest number of sweets that can be shared equally among 10 children or among 12 children, with none left over? (a) 22 (b) 60 (c) 120 (d) 61
  38. 38.4/8 + 1/4 = ? (a) 7/8 (b) 5/12 (c) 5/8 (d) 3/4
  39. 39.Every pair follows the same rule: 2 : 18, 7 : 43, 8 : 48. What is 9 : ? (a) 54 (b) 81 (c) 53 (d) 25
  40. 40.If 1 July is a Thursday, what day of the week is 16 July? (a) Friday (b) Thursday (c) Saturday (d) Sunday

Answer key

  1. 6.53
  2. 9.72
  3. 11.55
  4. 56
  5. 10
  6. 3 years
  7. 90 min
  8. 8
  9. 30
  10. ₹306
  11. 50
  12. 2 cm
  13. 36 cm
  14. 6
  15. 80
  16. 3
  17. 0.63
  18. 60
  19. 19
  20. 5 years
  21. 8.56
  22. ₹195
  23. 65
  24. 5
  25. 10%
  26. 3
  27. 13/14
  28. ₹150
  29. 32 sq cm
  30. 62
  31. 13
  32. 5.57
  33. ₹255
  34. ₹308
  35. 4 years
  36. 44 sq cm
  37. 60
  38. 3/4
  39. 53
  40. Friday

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