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Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 909 · 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 average of 54, 73, 63, 54 and 86? (a) 68 (b) 65 (c) 67 (d) 66
  2. 2.What is the smallest number you must add to 213 to make it divisible by 6? (a) 2 (b) 5 (c) 4 (d) 3
  3. 3.Every pair follows the same rule: 2 : 4, 3 : 9, 8 : 64. What is 9 : ? (a) 75 (b) 81 (c) 18 (d) 11
  4. 4.Every pair follows the same rule: 2 : 8, 3 : 12, 6 : 24. What is 8 : ? (a) 14 (b) 33 (c) 32 (d) 31
  5. 5.What is the value of the digit 4 in 93.254? (a) 0.004 (b) 0.4 (c) 0.04 (d) 4
  6. 6.Two bells ring every 6 minutes and every 14 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 42 min (b) 84 min (c) 2 min (d) 20 min
  7. 7.What is the simple interest on ₹6000 at 2% per year for 5 years? (a) ₹6600 (b) ₹120 (c) ₹720 (d) ₹600
  8. 8.Today is Thursday. What day of the week will it be after 100 days? (a) Monday (b) Friday (c) Sunday (d) Saturday
  9. 9.Two bells ring every 12 minutes and every 14 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 168 min (b) 26 min (c) 2 min (d) 84 min
  10. 10.A bag marked ₹1760 is sold at a 50% discount. What is its selling price? (a) ₹881 (b) ₹2640 (c) ₹880 (d) ₹1710
  11. 11.Today is Thursday. What day of the week will it be after 12 days? (a) Monday (b) Thursday (c) Tuesday (d) Wednesday
  12. 12.What is 3/7 of 49? (a) 21 (b) 7 (c) 22 (d) 28
  13. 13.If 8x + 5 = 5x + 29, what is x? (a) 10 (b) 7 (c) 8 (d) 9
  14. 14.What is the smallest number you must add to 460 to make it divisible by 6? (a) 4 (b) 1 (c) 2 (d) 3
  15. 15.A teacher has 4 pencils and 6 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 4 (b) 1 (c) 12 (d) 2
  16. 16.A square has a perimeter of 48 cm. What is its area? (a) 144 sq cm (b) 24 sq cm (c) 169 sq cm (d) 48 sq cm
  17. 17.What is the average of 58, 45, 63 and 58? (a) 56 (b) 58 (c) 55 (d) 57
  18. 18.Which fraction is greater: 1/4 or 4/5? (a) 4/5 (b) 1/4 (c) They are equal
  19. 19.What is the average of all the whole numbers from 60 to 84? (a) 12 (b) 24 (c) 73 (d) 72
  20. 20.₹143 is shared between two friends in the ratio 4 : 9. How much is the bigger share? (a) ₹11 (b) ₹110 (c) ₹44 (d) ₹99
  21. 21.A teacher has 33 pencils and 88 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 55 (b) 1 (c) 11 (d) 33
  22. 22.What is the average of all the whole numbers from 12 to 20? (a) 16 (b) 8 (c) 4 (d) 17
  23. 23.A batter has an average of 26 runs in 3 matches. How many runs are needed in the next match to raise the average to 33? (a) 33 (b) 54 (c) 40 (d) 28
  24. 24.9 workers can build a wall in 13 days. How many days will 3 workers take, working at the same speed? (a) 40 days (b) 19 days (c) 7 days (d) 39 days
  25. 25.What is 4/7 of 70? (a) 40 (b) 10 (c) 30 (d) 50
  26. 26.Every pair follows the same rule: 2 : 5, 3 : 10, 9 : 40. What is 4 : ? (a) 14 (b) 7 (c) 15 (d) 16
  27. 27.If 7x + 11 = x + 47, what is x? (a) 6 (b) 5 (c) 7 (d) 8
  28. 28.5.98 + 9.8 = ? (a) 6.96 (b) 15.68 (c) 15.78 (d) 15.88
  29. 29.In how many years will ₹1000 earn ₹180 simple interest at 9% per year? (a) 2 years (b) 3 years (c) 4 years (d) 1 year
  30. 30.A batter has an average of 47 runs in 3 matches. How many runs are needed in the next match to raise the average to 53? (a) 24 (b) 59 (c) 71 (d) 53
  31. 31.Which fraction is greater: 2/9 or 4/7? (a) They are equal (b) 4/7 (c) 2/9
  32. 32.A batter has an average of 57 runs in 5 matches. How many runs are needed in the next match to raise the average to 64? (a) 99 (b) 71 (c) 64 (d) 42
  33. 33.₹324 is shared between two friends in the ratio 4 : 5. How much is the bigger share? (a) ₹144 (b) ₹180 (c) ₹36 (d) ₹162
  34. 34.What is the value of the digit 6 in 67.148? (a) 0.06 (b) 0.6 (c) 6 (d) 60
  35. 35.4/9 + 1/4 = ? (a) 5/13 (b) 13/18 (c) 2/3 (d) 25/36
  36. 36.Today is Saturday. What day of the week will it be after 48 days? (a) Friday (b) Thursday (c) Saturday (d) Sunday
  37. 37.If 6 notebooks cost ₹24, how much do 12 notebooks cost? (a) ₹48 (b) ₹52 (c) ₹288 (d) ₹30
  38. 38.6.29 + 2.8 = ? (a) 6.57 (b) 9.19 (c) 8.99 (d) 9.09
  39. 39.3/6 + 2/5 = ? (a) 9/10 (b) 13/15 (c) 5/11 (d) 14/15
  40. 40.Which is the greatest: 0.192, 0.23, 0.043, 0.2? (a) 0.192 (b) 0.23 (c) 0.043 (d) 0.2

Answer key

  1. 66
  2. 3
  3. 81
  4. 32
  5. 0.004
  6. 42 min
  7. ₹600
  8. Saturday
  9. 84 min
  10. ₹880
  11. Tuesday
  12. 21
  13. 8
  14. 2
  15. 2
  16. 144 sq cm
  17. 56
  18. 4/5
  19. 72
  20. ₹99
  21. 11
  22. 16
  23. 54
  24. 39 days
  25. 40
  26. 15
  27. 6
  28. 15.78
  29. 2 years
  30. 71
  31. 4/7
  32. 99
  33. ₹180
  34. 60
  35. 25/36
  36. Friday
  37. ₹48
  38. 9.09
  39. 9/10
  40. 0.23

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