Page 89 - ICSE Math 6
P. 89

10.  Evaluate.

                             11    2                           2                         5   3   1
                         (a)    +                     (b) 1−                        (c)    +   −
                             19 19                            11                         7   7   7
                               1   4    5                   1    3    5                       8    3 
                        (d) 2 +      +  3             (e) 1 +      −                (f) 4 −     −   3  
                               3   9    6                   7   14   21                       11  11
                                                                                          2
                        (g)   2 ×  9                  (h)  11 169 4 25              (i) 3 ×1    1  ×2  1
                                                                    × ×
                                                              ×
                              3 14                         13 121 5 16                    3    11    4
                               1     1    2 2                1     3                      4    5
                         (j) 7 ×12 ×1 ×               (k) 2 ÷    3                  (l) 3 ÷
                               5     2    95                 7    14                      7   21
                           5
                     11.  If   of a number is 125, then find the number.
                           9
                     12.  Simplify:
                                                     1
                        (a)  1  of 90 1 of 1+  3  6  +  2 of 25         (b)  5  of    7  +  1   5  −  3  +  2 1
                                                                                            ÷
                                                                                   
                                                                                                     
                                                                                            
                             3          4     14     5                       24     15  3   6   5     2
                        (c)    1  −  1   3  −  4    1  −  2  +  1  +  1 3  (d)  1  of 60 ÷ 40 +      7  –  3     ×1  5
                                              ÷
                                                           
                                             
                                    
                             
                               2  3  4  5    2  5   7     4           3                8  5   11
                                                                                       ÷
                        (e)   1 ÷  7  1 1  of 7 ÷    1  1 2   2 −  3  2 6   (f)     1  ÷  1   1  –  4  ÷  20      –   4  of 3 1 
                                                     −
                                                                                                          
                                                                                                                   
                                                                                                     
                                                                                       
                                      
                                                     
                             
                                                                 
                               8   2       3   9     4     7               2  32   3  5  3     5     8 
                                                                                       3
                                                              1
                     13.  There are 400 oranges in a basket. If   of them are rotten and   of them have been peeled, how
                                                              8                        4
                        many oranges are neither rotten nor peeled?
                                        3
                     14.  After covering   of the journey, Gaurav finds that 27 km have been covered. How much distance
                                        5
                        is still left to be covered?
                                                                         1              1
                     15.  Rehan’s monthly salary is ` 27,000. If he spends   on food and   on house rent, then how much
                        money does he save?                              3              6
                                               2          8
                     16.  A train can cover 950  km in  6  h. What distance can it cover in:
                                               3          9
                                                       4
                        (a)  1 h                (b)  2  h
                                                      5
                                       1                                                    3
                     17.  If Nitin reads    of a book having 350 pages on the first day and    of the remaining book on
                                       7                                                    4
                        the second day, then how many pages are left to be read?

                           a   15                             a b−       a b+
                     18.  If   =  , then what is the value of       and       ?
                           b    8                               b         b
                                   a    c       a b−    c −  d    a b+    c +  d 
                           Hint:   If  =  , then      =      and        =       
                                   b   d          b      d          b       d   


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