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E:\Working\Focus_Learning\Math_Genius-6\Open_Files\17_Answers\Answers
             \ 07-Nov-2024  Bharat Arora   Proof-8                                        Reader’s Sign _______________________ Date __________





            Mental Maths                                            8.  (a)
               1.  9     2.  97   3.  10   4.  8   5.  2   6.  4                 Y             Scale: 1 unit length = 500 km
            Brain Sizzlers                                                   3000
               1. 11 × 11 = 121, 3 × 7 × 11 × 13 = 3003, 2 × 7 × 11 × 13 = 2002, 2 × 17 × 19   2500

                 = 646, 3 × 17 × 19 = 969 [Answers may vary]                 2000
               2.  89, 233   3.  1   4.  3, 18   5.  No                      1500
            Life Skills                                                     Length (in km)   1000
               1.  7 × 5   2.  (b)                                            500

               3. No, as  money collected  is  less  than  the  required  money for  the   0                     X
                 mentioned number of photographs.                                   Ganga Yamuna Godavari Krishna kaveri
                                                                                          Rivers
            Chapter Assessment
            A.  1.  (c)                                                (b)  1700 km
               2.  (d)                                                 (c)  808,818,828
               3.  (b)    4.  (a)   5.  (d)
               6.  (c)    7.  (c)                                               Chapter 6: Perimeter and Area
            B.  1.  (a)    2.  (b)   3.  (d)                      Let’s Recall
            C.  1.  39    2.  2
               3.  Product   4.  5   5.  15                         1.  (a)  Perimeter   (b)  Perimeter   (c)  Area   (d)  Area
            D.  1.  F    2.  T   3.  F   4.  T   5.  F                 (e)  Perimeter   (f)  Area
            E.  1.  41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97  2.       (a)   (b)    (c)   (d)   (e)
               2.  (a) 44 = 3 + 41 or 7 + 37        (b)  50 = 3 + 47 or 19 + 31  Perimeter  16  18  14  26  30
                 (c)  64 = 3 + 61 or 5 + 59       (d)  88 = 5 + 83 or 17 + 71  (Units)
                                                   [Answers may vary]    Area    12     16    8     17    14
               3.  (a)  63 = 3 + 29 + 31   (b)  79 = 3 + 5 + 71   (c)  15 = 3 + 5 + 7  (Sq. units)
                 (d)  31 = 7 + 11 + 13     [Answers may vary]     Quick Check
               4.  (a)  1, 3, 5, 15     (b)  1, 2   (c)  1, 2, 3, 6  1.  205 m     2.  40 m
               5.  (a)  30, 60, 90, 120, 150        (b)  60, 120, 180, 240, 300  Think and Answer
                 (c)  35, 70, 105, 140, 175       (d)  120, 240, 360, 480, 600
               6.  (a)  24 = 2 × 2 × 2 × 3         (b)  364 = 2 × 2 × 7 × 13  40 cm
                 (c)  1000 = 2 × 2 × 2 × 5 × 5 × 5   (d)  162 = 2 × 3 × 3 × 3 × 3  Think and Answer
               7.  37 (2 + 30 + 5)                                  1.  Shreya by 280 m.
               8.  (13, 31), (17, 71), (37, 73), (79, 97); 4        2.
               9.  12    10. 1   11. (a) 18  (b)  25   12. 6
                                                                                   80 m
                              Model Test Paper – 1                        S           70 m                 R
            A.  1.  (d)    2.  (d)   3.  (c)   4.  (a)   5.  (b)
               6.  (d)    7.  (b)   8.  (c)   9.  (a)   10. (c)        40 m
            B.  1.  36    2.  coplanar      3.  palindromic                                               Starting point
               4.  Five   5.  19                                     50 m                                 for Shreya
            C.  1.  F    2.  T   3.  T   4.  F   5.  T
            D.  1.  (a)   172            (b)      148                     Q
                        2 ×  86                  2 × 74                                                    Starting point
                                                                                      P                    for Mukulika
                          2 ×  43                  2 ×  37
                                                                        (c)  Mukulika finished 3 full rounds.
                    Prime factorisation of 172     Prime factorisation of 148
                        = 2 × 2 × 43             = 2 × 2 × 37             Shreya finished 4 full rounds.
               2.  81 litres                                      Practice Time 6A
               3.  (a)  T is the mid point of side PS.
                    N is the mid point of side QR.                  1.  (a) 52 cm   (b)  88 cm
                    L is the mid point of side PQ.                  2.  (a)  60 cm   (b)  44 m
                 (b)  l is the perpendicular bisector of line PQ.   3.  (a)  30 cm   (b)  36 cm   (c)  26 cm   (d)  102 cm
                    m is the perpendicular bisector of line QR.     4.  (a)  54 cm   (b)  60 cm   (c)  45 cm   (d)  48 cm
                    n is the perpendicular bisector of line PS.        The square with a side of 15 cm has the Largest Perimeter.
               4.  6336   5.  (a) 1   (b)  8                        5.  8 m 80 cm   6.  8 m    7.  Fencing a square field; `100
               6.  (a)  2024 ; 16 symbols   (b)  45 symbols         8.  `7200      9.  (a) 14 cm   (b)  6 cm
               7.  12                                               10.  Breadth = 13 m   11. 324 m

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