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Fractions Test - 11

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Fractions Test - 11
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  • Question 1
    1 / -0
    Directions: Study the given figures carefully and answer the question that follows.



    The models are shaded to show which of the following?
    Solution


    >

    Hence, option (1) is the correct answer.
  • Question 2
    1 / -0
    Three equivalent fractions of are
    Solution






    Hence, these are the three equivalent fractions.
  • Question 3
    1 / -0
    In which of the following figures does the shaded portion represent?
    Solution
    In option (2),
    Total number of parts = 6
    Number of shaded parts = 2
    Fraction of shaded portion =
  • Question 4
    1 / -0
    Mia wants to bake a cake. For that, she needskg of chocolate. How many cakes can she bake from 24 kg chocolate?
    Solution
    Quantity of chocolate required to make a cake ==

    So, cakes that can be made from 24 kg chocolate = 24 ÷
    = =

    =
  • Question 5
    1 / -0
    Which of the following numbers should come in the place of question mark?

    Solution


    ? = 11
  • Question 6
    1 / -0
    Directions: Arrange the following in ascending order.

    Solution
    The denominators for all the fractions should be the same.

    So,











    Now, ascending order will be

  • Question 7
    1 / -0
    What is the difference between the fractions of shaded parts of the given figures?
    Solution
    Fraction of shaded part of first figure =

    Fraction of shaded part of second figure =

    Difference =

  • Question 8
    1 / -0
    Bottle E is filled with of its capacity with water. The water is then put into another empty bottle F, which is three times the size of bottle E. What fraction of the bottle F is filled with water?
    Solution
    Let the capacity of bottle E = x
    The capacity of bottle F = 3x

    Water in bottle E =

    Required fraction = ÷ 3x =
  • Question 9
    1 / -0
    How many ninths are there in?
    Solution
    We have

     =

    =>

    Hence, there are 14 ninths in all.
  • Question 10
    1 / -0
    Which of the following is true for the unshaded parts of the given figure?


    M = Unshaded parts of figure 1
    N = Unshaded parts of figure 2
    Solution
    In figure 1, total parts = 16
    Number of unshaded parts = 9
    Therefore, fraction of unshaded parts = M =
    In figure 2, total parts = 8
    Number of unshaded parts = 3
    Therefore, fraction of unshaded parts = N =
    =>
    =
    Therefore, >.
    M > N
  • Question 11
    1 / -0
    The following figure has 2 equal sized parts. How many such parts would be needed to make a whole for the given figure?


    Solution
    Hence, 6 equal sized parts are needed to make a whole for the given figure.

  • Question 12
    1 / -0
    What fraction of the given squares are marked with an arrow?

    Solution
    Total squares = 10
    Number of squares with arrow = 3
    Therefore, fraction is.
  • Question 13
    1 / -0
    What fraction of a minute is 16 seconds?
    Solution
    1 minute = 60 seconds
    Therefore, required fraction =
    =
  • Question 14
    1 / -0
    Which of the following options is correct?
    Solution
    After simplifying , we get =

    Hence, option (3) is correct.
  • Question 15
    1 / -0
    Directions: Write the equivalent fractions represented by the shaded portion in the given figures.
    Solution
    First figure:
    Number of equal parts = 4
    Number of shaded parts = 1
    Fraction =
    Second figure:
    Number of equal parts = 16
    Number of shaded parts = 4
    Fraction =
    Therefore,

  • Question 16
    1 / -0
    Aditya eats 2 full apples. Then he divides another apple into 6 equal parts and eats 4 parts of those. The fraction of apples he has eaten is
    Solution
    Fraction of apples eaten by Aditya =
  • Question 17
    1 / -0
    If , then the values of x and y, respectively, are
    Solution


    Now,

    x =

    Now,

    y =

    Therefore, x = 48, y = 108
  • Question 18
    1 / -0
    Find y, if
    Solution



    =

    =

    =

    =

    Now,



    y =

    y =
  • Question 19
    1 / -0
    Simplify .
    Solution
  • Question 20
    1 / -0
    What can be the value of x and y, respectively?

    Solution


    Let x = 4 and y = 1.



    =
  • Question 21
    1 / -0
    16 friends went on a trip. Each one brought a chocolate for the trip. Each children ate of the chocolate they had. How many chocolates were eaten in all?
    Solution
    Fraction of chocolate eaten by each friend =
    Number of friends = 16
    Therefore, total number of chocolate eaten =
  • Question 22
    1 / -0
    Becca had of soda. She bought more soda to make lemon soda. Find the total soda she used to make lemon soda.
    Solution
    Quantity of soda =
    Quantity of soda she bought =
    Total soda used =
  • Question 23
    1 / -0
    Tyler had 153 points. He gave of his points to Reena and of his points to Kavita. How many points were left with him now?
    Solution
    Total number of points with Tyler = 153
    Number of points he gave to Reena =
    Number of points given to Kavita =
    Total number of points given = 85 + 51 = 136

    Number of points left = 153 - 136 = 17

  • Question 24
    1 / -0
    In a bag, there are 126 marbles which are green, yellow and red in colour. Out of which, marbles are green, are yellow and the remaining are red. How many red coloured marbles are there?
    Solution
    Total marbles = 126
    Number of green colour marbles =

    Number of yellow colour marbles =
    Number of red colour marbles = x
    Therefore,
    126 = 42 + 36 + x
    48 = x
    Number of red colour marbles = 48
  • Question 25
    1 / -0
    Amaira painted of a painting. Her friend helped and painted of the painting. What fraction of painting did they paint altogether?
    Solution
    Fraction of painting painted by Amaira =
    Fraction of painting painted by her friend =
    Total fraction of painting painted by Amaira and her friend =
  • Question 26
    1 / -0
    What fraction of the figure is shaded?

    Solution

    In the above figure different levels of the figure are mentioned by the numbers.
    Now, at each level,
    Total number of equal parts = 8
    Number of shaded parts = 4
    Required fraction =
    =
  • Question 27
    1 / -0
    The value of is

    Solution

  • Question 28
    1 / -0
    Directions: Look at the letters given below and answer the following question.

    M E Z Z O S

    (a) What fraction of letters is made of exactly four straight lines?
    (b) What fraction of letters is made up of consonants?
    Solution
    (a) Letters made up of exactly four straight lines are M and E.
    Total number of letters = 6

    Required fraction =

    (b) Number of consonants = 4
    Required fraction =
  • Question 29
    1 / -0
    If the fractions on the adjacent corner are subtracted from the fraction in between them, then the answer would be same. For example: , then what is the value of the question mark?

    Solution











  • Question 30
    1 / -0
    Which of the following statements is/are correct?

    Statement-1: Yami had kg of flour. She wants to bake a cake. For that, she bought kg more flour. Now, she has kg of total flour.

    Statement-2: Ravi eats of a cake. He finds that there is still 72 kg of cake left to be eaten. Total weight of the cake was 220 kg.
    Solution
    Statement-1: Quantity of flour = kg

    Quantity she bought = kg

    Total quantity of flour = +

    = kg (Correct)

    Statement-2: Let total weight of cake be x kg.
    ATQ,

    x + 72 = x




    x = 216 kg

    Therefore, total weight of the cake is 216 kg. (Incorrect)
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