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E:\Working\Orange_Education\TouchPad_Maths_4_(10-11-2025)\Open_Files\Chap_14_Ans\Chap_14_Ans
                 \ 12-Nov-2025  Bharat Arora   Proof-8                                    Reader’s Sign _______________________ Date __________





                  4.  i.    b  ii.    d  iii.    a  iv.    c           2. a.  24      b.  20    c.  30
                  6.  F + V – E = 2       7.  a. 22   b.  30   c.  66    3. a.  1234 × 8 + 4 = 9876   b.  123 × 9 + 4 = 1111
                Exercise 7B                                                  12345 × 8 + 5 = 98765       1234 × 9 + 5 = 11111



                  1. a.  point, P  b.  line,  ST   c.  Ray,  CD   d.  line segment, UV or VU  c.  987 × 9 + 5 = 8888,  9876 × 9 + 4 = 88888
                  2. a.  4   b.  3    c.  5    d.  0





                                                                       4. a.  333, 5   b.  555, 5, 277775







                  3. a.  OA OB OC OD,  ,  ,     b.  OP OQ OR OS OT OU OV OW,  ,  ,  ,  ,  ,  ,  Learning Logs





                   c.  PA PB PH CH CE DF PG DG,  ,  ,  ,  ,  ,  ,      1.  a, d, e, f and g  3.  a
                  4. a.  4 cm  b. 6 cm   c.  7 cm   d.  8 cm   e.  10 cm  f.  11 cm    4. a.       b.  I ,  K    c.  E10,  F12
                Exercise 7C                                            5. a.  8000 + 1000 = 9000   b.  6666 × 6 = 39996
                  2. a.  Right angles  b.  Acute angles  c.  Acute angle  d.  Right angle          80000 + 10000 = 90000     66666 × 6 = 399996
                   e.  Obtuse angle                                      c.  24000 ÷ 8 = 3000,  240000 ÷ 8 = 30000
                Exercise 7D                                            6. a and c    7.
                  1. a.  5      b.  4      c.  10     2.  a, b, c and e
                  3. a.  Quadrilateral, AB, BC, CD, DA
                   b.   Triangle, XY, YZ, ZX   c.  Quadrilateral, MN, NO, PM, OP
                   d.  Pentagon,  AB, BC, CD, DE, AE                 Mental Maths
                  5. a.  True   b.  False, all squares are rectangles.    1.  a         2.  d   3.  c
                   c.  False, a polygon has three or more sides.     HOTS
                   d.  True   e.  False, all rectangles are quadrilaterals.    1. a.  Scalene Triangle    b.  Isosceles Triangle
                  6. 12 triangles, No                                    c.  Rectangle          d.  Square (Answer may vary)
                Exercise 7E                                                        Chapter 9: Measurement
                  1. a.  O   b. OE, OG, OF      c.  EF               Warm Up
                  2.   OA    3. AB                                     1. a.  cm     b.  m      c.  m       d.  km
                  5. a.  3 cm  b. 10 cm  c.  7 cm  6. a.  2 cm   b.  48 cm  c.  60 cm    2. a.  g      b.  kg   c.  kg   d.  g
                  7. a.  Right angle   b.  Acute angle    c.  Obtuse  angle    3. a.  L      b.  mL
                   d.  Acute angle
                  8. a.  False  b. True   c.  True   d.  False   e.  True   f.  True  Exercise 9A
                                                                       1. a.  8000 m   b.  12000 m   c.  24000 m   d.  96000 m
                Learning Logs                                            e.  8417 m   f.  26042 m   g.  56018 m   h.  13005 m





                  1. a.  A, B , D, E, F   b.  BF    c.  OA OB OD OF,  ,  ,    2. a.  130 dm   b.  150 dm   c.  390 dm   d.  4120 dm
                   d.  OA OB OD OF EB,  ,  ,  ,                          e.  128 dm   f.  199 dm   g.  1092 dm   h.  35 dm
                  4. a.  centre   b.  radius   c.  radius   d.  diameter    3. a.  900 cm   b.  1500 cm   c.  6300 cm   d.  15000 cm
                  5. c                                                   e.  1640 cm   f.  1782 cm   g.  3005 cm   h.  562 cm
                Mental Maths                                           4. a.  100 mm   b.  500 mm   c.  290 mm   d.  1800 mm
                  1.  d     2.  d     3.  d    4.  c    5.  b   6. b     e.  163 mm   f.  258 mm   g.  358 mm   h.  41 mm
                HOTS                                                 Exercise 9B
                  1. Circle, rectangle, square, cylinder, triangle     1. a.  8 cm 5 mm  b.  10 cm 5 mm  c.  6 cm 3 mm  d.  9 cm 5 mm
                         Chapter 8: Symmetry and Patterns              2. a.  6 m 85 cm  b.  3 m 5 cm   c.  9 m 25 cm   d.  7 m 98 cm
                                                                         e.  5 m 68 cm   f.  4 m 9 cm   g.  66 m 66 cm  h.  23 m 33 cm
                Warm Up                                                3. a.  8 km   b.  15 km   c.  79 km   d.  45 km
                  1.  No    2.  1     3.  1, 2, 3, 6   4.  4           4.  9 m 490 mm
                  5.  4, 5, 7, 8, 9, 10
                                                                       5. a.  8 km 586 m  b.  7 km 816 m  c.  7 km 756 m  d.  7 km 242 m
                Exercise 8A                                              e.  6 km 992 m
                  1.  a, c and d                                     Exercise 9C
                  2. a.  no      b.  no    c.  yes    d.  no           1. a.  46 km 279 m b.  270 m 34 cm  c.  81 cm 3 mm
                  4. One line of symmetry: A, B, C, D, E, K, M, T, U, V, W, Y    2. a.  28 m 21 cm  b.  79 m 33 cm  c.  72 km 120 m  d.  66 km 139 m
                     Two lines of symmetry: H, I, O, X
                                                                       3. a.  8 km 752 m  b.  34 m 5 cm    c.  142 km 276 m
                     No line of symmetry: F, G, J, L, N, P, Q, R, S, Z    4. a.  8 m 20 cm  b.  576 m 78 cm  c.  38 km 879 m d.  29 km 795 m
                  5. 3, 5, 6, 1 and 8
                                                                       5.  8 m 74 cm   6.  95 km 248 m  7.  11 km 646 m
                Exercise 8B                                            8.   2232 km 500 m
                  1. a, b, c, d and e
                                                                     Exercise 9D
                  2.                                                   1. a.  9000 g   b.  26000 g   c.  215000 g   d.  320000 g
                  3.                                                     e.  8232 g   f.  18020 g   g.  19006 g   h.  55350 g
                Exercise 8C                                            2. a.  8000 mg   b.  45000 mg   c.  750000 mg  d.  945000 mg
                  2. a, e and f                                          e.  8370 mg   f.  15013 mg   g.  150009 mg  h.  14203 mg
                Exercise 8D                                            3. a.  9100 g   b.  20400 g
                  1. a.  16, 19, 22, 25  b.  64, 32, 16, 8             4.   Anu’s cat: 5000 g, Leena’s cat: 3250 g
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