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Fractions Test - 2

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Fractions Test - 2
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  • Question 1
    1 / -0
    Which of the following fractions would be used to represent shaded parts in the following diagram?


    Solution
    For first shape:
    Number of equal parts = 8
    Number of shaded parts = 4
    Therefore, fraction =
    For second shape:
    Number of equal parts = 8
    Number of shaded parts = 4

    Therefore, fraction =

    So, =
  • Question 2
    1 / -0
    is greater than by
    Solution
    In order to solve this question, we need to subtract from .

  • Question 3
    1 / -0
    is the same as
    Solution
    = =
  • Question 4
    1 / -0
    Which of the following options will replace '', if ?
    Solution


    So, '' has to be replaced with a 9.
  • Question 5
    1 / -0
    How many one-sevenths will make one whole?
    Solution


    So, seven one sevenths will make one whole.
  • Question 6
    1 / -0
    is the same as
    Solution
  • Question 7
    1 / -0
    If y = , then what is y?
    Solution
    y =

    (Because the denominators are the same)
  • Question 8
    1 / -0
    The sum of shaded fractions of the following two figures is


    Solution
    Total number of equals parts in each figure = 6
    Number of shaded parts in first figure = 3

    Fraction of shaded parts in first figure =

    Now, total number of shaded parts in second figure = 4

    Fraction of shaded parts in second figure =

    Sum of the fractions of shaded parts =
  • Question 9
    1 / -0
    Which of the following sets of fractions is in ascending order?
    Solution
    In the options, we notice that all the denominators are the same.
    So, the ascending order of fractions can be done by arranging the numerators or top part of the fraction in ascending order.
    Only option 1 is in ascending order and hence, the correct option.
  • Question 10
    1 / -0
    Which of the following options can make the given number sentence true?

    _____
    Solution
    For comparing fractions, we need to make the denominators same.

    First fraction =

    Second fraction =

    Since, ,

    Therefore,
  • Question 11
    1 / -0
    6 times is
    Solution
    6 times = 6 ×
    = =
  • Question 12
    1 / -0
    What fraction of the following figure is unshaded?



    Solution
    Total number of parts = 6
    Number of unshaded parts = 2

    Fraction =
  • Question 13
    1 / -0
    What is the sum of and ?
    Solution


    =

    =

    =

    =
  • Question 14
    1 / -0
    What fraction of the following figure is shaded?


    Solution
    Total number of parts = 9
    Number of shaded parts = 4
    Fraction =
  • Question 15
    1 / -0
    The figure is showing which of the following fractions?


    Solution
    From the given figure, we see that two wholes are shaded and 5 parts out of nine are shaded in the third one.
    Thus, it is 1 + 1 + .
    = 2
  • Question 16
    1 / -0
    What fraction of the total area is shaded?

    Solution
    Total number of squares in figure = 16
    Number of shaded squares = 4
    So, fraction of area shaded = .
  • Question 17
    1 / -0
    Evie has 12 green, 10 blue, 8 red and 7 yellow balls. All the balls are of the same size. What fraction of the balls is blue?
    Solution
    Total number of balls = 12 + 10 + 8 + 7 = 37
    Number of blue balls = 10
    Required fraction =
  • Question 18
    1 / -0
    Evie has 12 green, 10 blue, 8 red and 7 yellow balls. All the balls are of the same size. What fraction of the balls is not green?
    Solution
    Total number of balls = 12 + 10 + 8 + 7 = 37
    Number of balls that are not green = 10 + 8 + 7 = 25
    Required fraction =
  • Question 19
    1 / -0
    What fraction of the figure is shaded?


    Solution
    Total number of equal parts = 42
    Number of shaded parts = 20
    Therefore, required fraction =
  • Question 20
    1 / -0
    The difference between and is
    Solution
    = and =

    Convert the fractions into like fractions.
    LCM of 4 and 8 = 8

    Therefore, and

    Now,

    =

    =
  • Question 21
    1 / -0
    Rahul has some shape cards as shown. What fraction of the cards are the triangle cards?


    Solution
    Total number of cards = 12
    Number of triangle cards = 2
    Required fraction =
  • Question 22
    1 / -0
    Rohan puts the following scrabble tiles in a bag. What fraction of these tiles have vowels on them?

    Solution
    HAPPINESS = 9 letters
    Number of vowels = 3(A, I and E)
    Required fraction =
  • Question 23
    1 / -0
    Armaan has exactly of 2nd position prizes. Which of the following could be the group of prizes Armaan has?
    Solution
    of 2nd place prizes means four 2nd place prizes out of seven.
    Only option 2 has four 2nd place prizes out of seven, hence the correct option.
  • Question 24
    1 / -0
    Directions: Following table shows the names of students who are a part of drama club.

    Students in Drama Club
    Raghav Rajiv
    Manav Kanika
    Shreya Kajal
    Manish Rishi

    What fraction of the names end with alphabet V?
    Solution
    Total number of names = 8
    Names that end with V are Raghav, Rajiv and Manav i.e. 3
    Required fraction =
  • Question 25
    1 / -0
    Sneha bought 11 red and blue balls from a toy shop. 5 balls are coloured blue. What is the fraction of red balls?
    Solution
    Total number of balls = 11
    Number of blue balls = 5
    Number of red balls = 11 - 5 = 6
    Required fraction =
  • Question 26
    1 / -0
    Which of the following figures represents the lowest fraction?

    Solution
    Represented fraction by A = 2/8 = 1/4
    Represented fraction by B = 4/8 = 1/2
    Represented fraction by C = 4/8 = 1/2
    Hence, A represent the lowest fraction.
  • Question 27
    1 / -0
    A set of pens contains 3 black, 5 blue and 2 red pens. Which of the following about red pens is correct?
    Solution
    Total number of pens = 3 + 5 + 2 = 10
    Number of red pens = 2
    Fraction =
    Hence, one-fifth of the pens are red in colour, i.e. only option 3 is correct.
  • Question 28
    1 / -0
    What should be the value of 'x' such that the sum of all these five fractions is equal to 4?

    Solution







  • Question 29
    1 / -0
    Out of 40 people, like to drink tea, like to drink coffee and the rest like to drink juice. What is the number of people who like to drink juice?
    Solution
    Total people = 40
    Number of people who like to drink tea =
    Number of people who like to drink coffee =
    Number of people who like to drink juice = 40 - (16 + 12) = 40 - 28 = 12
  • Question 30
    1 / -0
    A fraction of the following set of squares is shaded. Which of the following sets of diamonds represents the same shaded fraction?

    Solution
    The fraction shaded in the question = = Fraction shaded in option 3.
    Thus, option (3) is correct.
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