Page 80 - Maths Skill - 6
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78                                                                                                  Maths


            3    5
          4.   +   = ?                                                    40–60                    30,000
            7    7
                 6          1            22           8                   60–80                    12,000
             (i)       (ii)          (iii)       (iv)                    Above 80                   5,000
                 7          7             7           7
             6 10      15                                        Answer the following questions on the basis of the
          5.   ,    and    are:
            11 17      31                                        above data.

             (i)  like fractions     (ii)  mixed fractions       1.  What  is  the  fraction  of  the  population
            (iii)  unlike fractions   (iv)  equivalent fractions     representing the population aged below 18 years?
                                                                 2.  What  is  the  simplest  form  of  the  fraction
        B. Fill in the Blanks                                        representing the population above 80 years?

                                                                 3.  What  is  the  fractional  difference  between  the
          1.   2  =                                                  population  representing  people  aged  between
             3   12                                                  40–60 years and 60–80 years?
          2.   A fraction in which the numerator is 1, is called a
            _____________ fraction.                              4.  What  is  the  sum  of  the  fraction  representing
                                                                     the  population  aged  between  below  18  and
          3.   A  proper  fraction  is  the  fraction  in  which  the   40–60 years?
            numerator is _____________ than the denominator.
          4.   An  _____________  fraction  can  be  written  as      E. Assertion-Reason Based Questions
            mixed fraction.                                      Directions for Questions  1 to 3:  In  each  of  the
                                        2
          5.   Two equivalent fractions of   are ____________    questions  given  below,  there  are  two  statements
            and _____________.          7                        marked as Assertion (A) and Reason (R). Mark your
                                                                 answer as per the codes provided below:
        C. Write ‘T’ for true and ‘F’ for false statements
                                                                 (a)  Both  A  and  R  are  true  and  R  is  the  correct

          1.   14  is a proper fraction.                             explanation of A.
             9                                                   (b)  Both A and R are true but R is not the correct
              3   2   13                                             explanation of A.
          2.  1  –   =
              4   3   12                                         (c)  A is true but R is false.
          3.  A fraction is a part of whole.                     (d)  A is false but R is true.
                                                                                      1
          4.  The fractions having different numerators are said     Q. 1. Assertion (A) : 5   can be written as 5 +  1
            to be unlike fractions.                                                   7                      7
                                                                      Reason (R) : A mixed fraction can be written as
          5.  Every fraction can be represented by a point on a                   an improper fraction.
            number line.                                                            18             18
                                                                 Q. 2. Assertion (A) :    is less than
                                                                                    93             79
                  D. Case Study Based Questions                      Reason  (R)  :  When  the  fractions  have  the
                                                                     same numerator then the fraction with greater
         The population of a town is 1,80,000 and the people         denominator has less value.
         living in the city belong to following age categories.                                 36
                                                                 Q. 3. Assertion (A) : The fraction    in simplest form
                Age (in years)         Number of People                               3         48
                 Belong 18                  50,000                                  is  4
                   28–25                    38,000                   Reason (R) : A fraction is said to be in simplest

                   25–40                    45,000                   form  if  its  numerator  and  denominator  are
                                                                     co-prime.
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