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Chapter 6: Perimeter and Area                 Case Study Based Questions
              Exercise 6.1                                              1.  15000 sq. m  2. 500 m   3. 1500 m   4. 50 poles
                  1.  10 m      2. 900 m    3. 21 cm                    5.  `54750    6. 10,000 sq. m
                  4.  (a) 9cm   (b) 12 cm   (c) 6 cm                    7.  Seven crore fifty lakh rupees (`7,50,00,000)
                  5.  (a) 28 units  (b) 28 units  (c) 28 units  (d) 26 units  Chapter Test
                  6.  100 m                 7. Length = 60 m        I.   1.  (b)      2. (b)      3. (b)     4. (b)
                  8.  250 m, 170 m, and 120 m  9. 16 m                  5.  (a)       6. (b)      7. (c)
                 10. Mohan covers 260 m and Gopi covers 170 m, therefore   II.  1.  5 × length of one side   2. `18000   3. `10000

                     Mohan covers more distance.                        4.  1600 m    5. 90 cm 2
              Exercise 6.2                                          III.  1.  False   2. False    3. True    4. True
                  1.  (a) 25 sq. units     (b) 12 sq. units             5.  True
                                                1                                              2
                  2.  (a) 13 sq. units     (b) 16   sq. units       IV.  1. 150 marbles  2. 1400 m   3. `6800
              Exercise 6.3                      2                       4.  25 tin sheets  5. 24 m   6. 2400 sq. m
                  1.  50 sq. unit, 42 sq. units, 63 sq. units           7.  10000 m 2                1
              Exercise 6.4                                              8.  (a) 8 sq. units      (b) 4 2   sq. units
                  1.  126 cm    2. 6 times of old area                      (c) 7 sq. units
                  3.  880 cm    4. 48 tiles                             9.  Greatest = 100 cm, least = 28 cm.
                  5.  56 cm     6. `45000   7. `2700                Hints: (Activity 1):
              Miscellaneous Exercise 6.5                                1.  Squares have the least perimeter.   Ans: 12.

                  1.  (d)       2. (c)      3. (d)     4. (b)           2. Horizontal or vertical rectangles have the maximum
                  5.  (a)       6. (b)                                     perimeter.                          Ans: 20.
                  7.  (a) False   (b) False   (c) True   (d) False      3.  The figure has a perimeter of 18 units.
                  8.  (a) simple   (b) regular   (c) area   (d) n × a
                     (e) 10,000
                                       2
                  9.  52 cm    10. 56 m .                               4.  For smallest perimeter, No.
                  11.  (a) 13 sq. unit      (b) 9 sq. unit                   Because a square will have the smallest perimeter there
                     (c) 15 sq. unit                                       is no other  way to have a square with area 9. It can
                 12.  (a) 36 sq. m (b) 13 m   (c) 11 m   (d) 341 sq. m     only be 3 × 3.
                 13.  200 trees                                              For the other two, yes, Students are expected to explore
                 14.  (a) 30 sq. cm        (b) 9 sq. cm                    them.
                     (c) 16 sq. cm         (d) 5 cm
                 15.  20 m                 16. 172 sq. m                          Chapter 7: Fractions
                 17.  624 sq. m            18. 196 sq. m            Exercise 7.1
                 19.  (a) 9 sq. m  (b) 5 sq. m  (c) 10 sq. m (d) 6 sq. m  1.  (a) → (iii)  (b) → (iv)  (c) → (i)  (d) → (ii)
                                                                                                    2 4
                     (e) 6 sq. m  (f) 6 sq. m                           2.  (a)   1   (b)   2    (c)  ,
                 20.  square; 900 sq. m.   21. 96 tiles                       2          3          5 5
                 22.  (a) 40 sq. cm.       (b) 245 sq. cm.              3.  (a) Yes
                     (c) 9 sq. cm.                                         (b)  Yes; all represent the same length on the fraction
                                                                              wall.
                 23.  32 cm; 64 sq. cm.                                    (c) 3-pieces          (d) 2-pieces
                 24.  Least = 24 cm, greatest = 74.
              Assertion Reason Type Questions                              (e)  Yes; all represent the same length on the fraction
                                                                              wall.
                  1.  (d)       2. (a)      3. (c)     4. (b)                 1     3               2   6   8
                  5.  (b)       6. (a)      7. (b)                         (f)   3  and   9         (g)   3  =  9  = 12


              300     Mathematics-6
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