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Thinking Skills                                         (iii)   (proper fraction)    (iv)   (proper fraction)
                                                                                               5
                                                                       7
              1.  (a) Colour any 3 sectors red                         7 9                     6
                 (b) Colour any 4 sectors blue                      (v)  12  (proper fraction)    (vi) 8 (whole number)
                (c) Colour any 1 sector green                       (vii) 11 (whole number)
                (d) Colour remaining 2 sectors yellow                              Chapter 3
                   3       4       6        1
              2.  (a)      (b)      (c)      (d)      (e) 1   (f) 0    1.  (i) 0.5  (ii) 0.7  (iii) 7  (iv) 1.49  (v) 2.30  (vi) 0.88
                  13       13      13      13
                                                                  2.  (i) Ones  (ii) Hundredths  (iii) Tenths
              3.  (a)  1     (b)   1  (c)  1  (d)  1                (iv) Hundredths  (v) Thousandths
                   9        4         2        2                  3.  Ayub travelled more by 0.9 km or 900 m
              4.  The probabilities will be half of that are in Q. 3 above.    4.  14.6 km   5.  553 km
              5.  (i) c   (ii)  e   (iii)  a   (iv)  b   (v)  d    6.  (i) 2  (ii) 180  (iii) 6.5  (iv) 44.2  (v) 2  (vi) 31
                                                                    (vii) 510 (viii) 27  (ix) 2.1
            Values and Life Skills
                                                                  7.  18 km
                Fair to both : (a), (b), (c) and (e)
                                                                                   Chapter 4
            Exemplar Problems
                                                                  1.  (a), (c), (d), (e)
              1.  d      2.  b    3.  1     4.  6
                                                                  2.  (a) <  (b) <  (c) =  (d) >  (e) <  (f) =  (g) >
                                     1
                                                                       5
                                                                                           1
              5.  False   6.  False   7.                          3.  (a)    (b)  –5   (c)   2    (d)    (e) –3 2
                                     6                                 2     6      –3     4        7
                            2        1                                –63     –27     –54     –6     6
              8.  (a) 1   (b)     (c)      (d)  0                 4.  (a)     (b)     (c)     (d)     (e)     (f) 1
                            5        5                                 8       10      55     35     55
                                                                                     4
                  Some NCERT Textbook Questions                   5.  (a) –6  (b)  –3   (c)  15   (d)  –1   (e)  –14
                                                                                                  13
                                                                             10
                                                                                           6
                               Chapter 1                            (f)  91   (g)  –15
                                                                      24
                                                                              4
              1.  (a) <  (b) <  (c) >  (d) <  (e) >                                Chapter 5
              2.  One such pair could be:                              4      5     8      100    10
                (a) –2, –10; [–2 – (–10) = 8]  (b) –6, 1(–6 + 1 = 5)     1.  (a) 3   (b) 3   (c) 2   (d) 2   (e) 2  4  2  2
                                                                           4
                                                                                               3
                                                                                           2
                                                                       3
                                                                                     4
                (c) –1, 2; (–1 – 2 = –3)                          2.  (a) 2  × 3   (b) 5 × 3   (c) 2  × 3  × 5  (d) 2  × 3  × 5
              3.  Scores of both the teams are same, i.e., –30; Yes    3.  (a) 2000  (b) 196  (c) 40  (d) 768  (e) 0  (f) 675
              4.  Students to do one their own.                     (g) 144  (h) 90000
                                                                                                     0
                                                                                    5
                                                                              3
                                                                       3
                                                                                               5
              5.  (a) Loss of ` 1000  (b) 4000 bags               4.  (a) 3   (b) 5   (c) 5   (d) 7 × 11   (e) 3  or 1  (f) 3
                                                                                     2
                                                                                                  3
                                                                                           10
              6.   (–6, 2), (–12, 4), (12, –4), (9, –3), (–9 ,3) (there could be       (g) 1  (h) 2  (i) (2a)   (j) a   (k) a b  (l) 2 8
               many such pairs)                                   5.  (a) False; 10 × 10  = 10  and (100)  = 10
                                                                                                 11
                                                                                       12
                                                                                                      22
                                                                                  11
              7.  9 p.m., –14°C                                     (b) False; 2  = 8, 5  = 25  (c) False; 6  = 2  × 3
                                                                             3
                                                                                   2
                                                                                                   5
                                                                                                      5
                                                                                                          5
                               Chapter 2                            (d) True; 3  = 1, (1000)  = 1
                                                                            0
                                                                                       0
              1.  Yes         2.   3   cm                         6.  (a) 86045  (b) 405302  (c) 30705  (d) 900230
                                10
              3.  (i) (d)  (ii) (b)  (iii) (a)  (iv) (c)                           Chapter 6
              4.  One way of doing this is:                       1.  (a) x  + 2xy – y   (b) 5a + b – 6
                                                                       2
                                                                                2
                (a)          (b)           (c)
                                                                  2.  4x  – 3y  – xy
                                                                      2
                                                                          2
                                                                  3.  (a) –y + 11  (b) 2x + 4
                                                                  4.  (a) 0  (b) 1  (c) –1  (d) 1  (e) 1
                             3
                                      1
              5.  (i) 2 litres  (ii)     6.  2   m    7.  44 km    5.  (a)  5x  –  13;  –3  (b)  8x  –  1;  15  (c)  11x  –  10;  12
                                                                    (d) 11x +7; 29
                             5
                                      4
                  7
                                        8
              8.  (i)   (improper fraction)  (ii)   (improper fraction)    6.  (a) 1000  (b) 20
                  3                     5
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