6th Std Term 3 Fractions Full Study Material

6th Standard

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Maths

Time : 01:40:00 Hrs
Total Marks : 100
    5 x 1 = 5
  1. Which of the following statement is incorrect?

    (a)

    \({1\over2}>{1\over3}\)

    (b)

    \({7\over8}>{6\over7}\)

    (c)

    \({8\over9}>{9\over10}\)

    (d)

    \({10\over11}>{9\over10}\)

  2. The difference between \(3\over7\) and \(2\over9\) is

    (a)

    \(\frac{13}{63} \)

    (b)

    \(\frac{1}{9}\)

    (c)

    \(\frac{1}{7} \)

    (d)

    \(\frac{9}{16}\)

  3. The reciprocal of \(53\over17\) is

    (a)

    \(\frac{53}{17}\)

    (b)

    \(5 \frac{3}{17}\)

    (c)

    \(\frac{17}{53}\)

    (d)

    \(3 \frac{5}{17}\)

  4. If \({6\over7}={A\over49}\)then the value of A is

    (a)

    42

    (b)

    36

    (c)

    25

    (d)

    48

  5. Pugazh has been given four choices for his pocket money by his father. Which of the choices should he take in order to get the maximum money?

    (a)

    \(\frac{2}{3}\) of Rs. 150

    (b)

    \(\frac{3}{5}\) of Rs. 150

    (c)

    \(\frac{1}{5}\) of Rs. 150

    (d)

    \(\frac{4}{5}\) of Rs. 150

  6. 5 x 1 = 5
  7. \(7{3\over4}+6{1\over2}=\)_________

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    \(14{1\over4}\)

  8. The sum of a whole number and a proper fraction is called ______

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    Mixed Fraction

  9. \(5{1\over3}-3{1\over2}=\)_______

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    \(1{5\over6}\)

  10. \(8\div{1\over2}=\)_____

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    16

  11. The number which has its own reciprocal is ________

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    1

  12. 5 x 1 = 5
  13. \(3{1\over2}\)can be written as \(3+{1\over2}\)

    (a) True
    (b) False
  14. The sum of any two proper fractions is always an improper fraction

    (a) True
    (b) False
  15. The mixed fraction of \(13\over4\)is \(3{1\over4}\)

    (a) True
    (b) False
  16. The reciprocal of an improper fraction is always a proper fraction

    (a) True
    (b) False
  17. \(3{1\over4}\times3{1\over 3}=9{1\over16}\)

    (a) True
    (b) False
  18. 5 x 2 = 10
  19. Sankari purchased \(2{1\over2}\) m cloth to stich a long skirt and \(1{3\over 4}m\) cloth to stitch blouse. If the cost is Rs.120 per metre then find the cost of cloth purchased by her

  20. From his office, a person wants to reach his house on foot which is at a distance of \(5{3\over4}\)km. If he had walked \(2{1\over 2}km\)  how much distance still he has to walk to reach his house?

  21. Which is smaller? The difference between \(2{1\over2}\ and\ 3{2\over3}\) or the sum of \(1{1\over2}\ and\ 2{1\over4}\)

  22. Mangai bought \(6{3\over4}\) kg of apples. If Kalai bought \(1{1\over2}\) times as Mangai bought, then how many kilograms of apples did Kalai buy?

  23. The length of the staircase is 5 \(\frac{1}{2}\) m If one step is set at \(\frac{1}{4}\) m then how many steps will be there in the staircase?

  24. 15 x 3 = 45
  25. Find three equivalent fractions of \(3\over 4\) and \(2 \over 7\)

  26. Vinotha, Mugilarasi, Senthamizh were participating in the water filling competition. Each one was given a bottle of equal volume to fill water in it within 30 seconds. If Vinotha filled \(1\over 2\) portion of her bottle, Senthamizh filled \(3\over 4\) portion of her bottle and Mugilarasi filled \(1\over4\) portion of her bottle, then who would get the first, second and third prize?

  27. Arrange \({2\over 3},{1\over 6},{4\over 9}\) in ascending order

  28. Add \(2\over3\)and\(3\over5\)

  29. Simplify: \({3\over4}-{1\over2}\)

  30. Convert \(5{3\over7}\)into an improper fraction.

  31. In the above situation, find the quantity of milk left over. So subtract \(3{1\over4}\)from \(5{1\over2}\)

  32. Simplify: \(9{1\over4}-3{5\over6}\)

  33. An oil tin contains \(7{1\over2}\) litres of oil which is poured in \(2{1\over2}\) litres bottles How many bottles are required to fill \(7{1\over2}\) litres of oil?

  34. A rod of length 6m is cut into small rods of length \(1{1\over2}\) each. How many small rods can be cut?

  35. Gowri purchased \(3{1\over2}\)kg of tomatoes, \(3\over4\)kg of brinjal and \(1{1\over4}\)kg of onion. What is the total weight of the vegetables she bought?

  36. Nilavan can walk \(4{1\over2}\)km in an hour. How much distance will he cover in \(3{1\over2}\)hours?

  37. Add the difference between \(1{1\over3}\) and \(3{1\over6}\) and the difference between \(4{1\over6}\ and\ 2{1\over3}\)

  38. What fraction is to be subtracted from 9 \(\frac{3}{7}\)to get 3 \(\frac{1}{5}\)?

  39. By what number should \(3{1\over16}\)be multiplied to get \(9{3\over16}\) ?

  40. 6 x 5 = 30
  41. Answer the following:
    i) Find the sum of \(1\over7\)and \(3\over9\).
    ii) What is the total of \(3{1\over3}\)and \(4{1\over6}\) ?
    iii) Simplify: \(1{3\over5}+5{4\over7}\)
    iv) Find the difference between \(8\over 9\)and \(2\over7\)
    v) Subtract \(1{3\over 5}\)from \(2{1\over3}\)
    vi) Simplify : \(7{2\over7}-3{4\over 21}\)

  42. Convert mixed fractions into improper fractions and vice versa:
    \(i)\ 3{7\over 18}\)
    \(ii)\ {99\over7}\)
    \(iii)\ {47\over6}\)
    \(iv)\ 12{1\over9}\)

  43. Multiply the following:
    \(i)\ {2\over3}\times6\)
    \(ii)\ 8{1\over3}\times5\)
    \(iii)\ {3\over8}\times{4\over5}\)
    \(iv)\ {3{5\over7}}\times1{1\over13}\)

  44. Divide the following :
    \(i) \ {3\over7}\div4\)
    \(ii)\ {4\over3}\div{5\over9}\)
    \(iii)\ 4{1\over5}\div3{3\over 4}\)
    \(iv)\ 9{2\over3}\div1{2\over3}\)

  45. A painter painted \(3\over8\) of the wall of which one third is painted in yellow colour. What fraction is the yellow colour of the entire wall?

  46. A rabbit has to cover \(26{1\over4}\)m to fetch its food. If it covers \(1{3\over4}\)m in one jump, then how many jumps will it take to fetch its food?

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