Exercise 12.1 : Solutions of Questions on Page Number : 197 Q1 : Evaluate (i) 3 – 2 (ii) ( – 4) – 2 (iii) Answer : (i) (ii) (iii) Q2 :Simplify and express the result in power notation with positive exponent. (i) (ii) (iii) (iv) (v) Answer : (i) ( – 4)5 ÷( – 4)8 = ( – 4)5 – 8 (am ÷ an = am – n) = ( – 4) – 3 (ii) (iii) (iv) (3 – 7 ÷ 3 – 10) × 3 – 5 = (3 – 7 – ( – 10)) × 3 – 5…
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Exercise 11.1 : Solutions of Questions on Page Number : 171 Q1 :A square and a rectangular field with measurements as given in the figure have the same perimeter. Which field has a larger area? Answer : Perimeter of square = 4 (Side of the square) = 4 (60 m) = 240 m Perimeter of rectangle = 2 (Length + Breadth) = 2 (80 m + Breadth) = 160 m + 2 × Breadth It is given that the perimeter of the square and the rectangle are the same. 160 m + 2 × Breadth = 240 m Breadth of…
Exercise 10.1 : Solutions of Questions on Page Number : 157 Q1 : For each of the given solid, the two views are given. Match for each solid the corresponding top and front views. Answer : The given solids, matched to their respective side view and top view, are as follows. Object Side view Top view Q2 : For each of the given solid, the three views are given. Identify for each solid the corresponding top, front and side views. Answer : (a) (i) Front (ii) Side (iii) Top (b) (i) Side (ii) Front (iii) Top (c) (i) Front (ii)…
Exercise 9.1 : Solutions of Questions on Page Number : 140 Q1 : Identify the terms, their coefficients for each of the following expressions. (i) 5xyz2 – 3zy (ii) 1 + x + x2 (iii) 4x2y2 – 4x2y2z2 + z2 (iv) 3 – pq + qr – rp (v) (vi) 0.3a – 0.6ab + 0.5b Answer : The terms and the respective coefficients of the given expressions are as follows. – Terms Coefficients (i) 5xyz2 – 3zy 5 – 3 (ii) 1 x x2 1 1 1 (iii) 4x2y2 – 4x2y2z2 z2 4 – 4 1 (iv) …
Exercise 8.1 : Solutions of Questions on Page Number : 119 Q1 : Find the ratio of the following: (a) Speed of a cycle 15 km per hour to the speed of scooter 30 km per hour. (b) 5 m to 10 km (c) 50 paise to Rs 5 Answer : (a) Ratio of the speed of cycle to the speed of scooter (b) Since 1 km = 1000 m, Required ratio (c) Since Re 1 = 100 paise, Required ratio Q2 : Convert the following ratios to percentages. (a) 3:4 (b) 2:3 Answer : (a) (b) Q3 : 72%…
Exercise 7.1 : Solutions of Questions on Page Number : 114 NCERT Solutions for Class 8 Maths Chapter 7 – Cubes and Cube Roots Q1 : Which of the following numbers are notperfect cubes? (i) 216 (ii) 128 (iii) 1000 (iv) 100 (v) 46656 Answer : (i) The prime factorisation of 216 is as follows. prime factorization of 46656 Q2 : Find the smallest number by which each of the following numbers must be multiplied to obtain a perfect cube. (i) 243 (ii) 256 (iii) 72 (iv) 675 (v) 100 Answer : (i) 243 = 3 x 3 x 3 x…
Exercise 6.1 : Solutions of Questions on Page Number : 96 Q1 : What will be the unit digit of the squares of the following numbers? (i) 81 (ii) 272 (iii) 799 (iv) 3853 (v) 1234 (vi) 26387 (vii) 52698 (viii) 99880 (ix) 12796 (x) 55555 Answer : We know that if a number has its unit’s place digit as a, then its square will end with the unit digit of the multiplication a x a. (i) 81 Since the given number has its unit’s place digit as 1, its square will end with the unit digit of the multiplication…
Exercise 5.1 : Solutions of Questions on Page Number : 76 Q1 : For which of these would you use a histogram to show the data? (a) The number of letters for different areas in a postman’s bag. (b) The height of competitors in an athletics meet. (c) The number of cassettes produced by 5 companies. (d) The number of passengers boarding trains from 7:00 a.m. to 7:00 p.m. at a station. Give reasons for each. Answer : In case of the data given in alternative (b) and (d), we will use histogram as we can divide the given data…
Exercise 4.1 : Solutions of Questions on Page Number : 60 Q1 : Construct the following quadrilaterals. (i) Quadrilateral ABCD AB = 4.5 cm BC = 5.5 cm CD = 4 cm AD = 6 cm AC = 7 cm (ii) Quadrilateral JUMP JU = 3.5 cm UM = 4 cm MP = 5 cm PJ = 4.5 cm PU = 6.5 cm (iii) Parallelogram MORE OR = 6 cm RE = 4.5 cm EO = 7.5 cm (iv) Rhombus BEST BE = 4.5 cm ET = 6 cm Answer : (i) Firstly, a rough sketch of this quadrilateral can…
Exercise 3.1 : Solutions of Questions on Page Number : 41 Q1 : Given here are some figures. (1) (2) (3) (4) (5) (6) (7) (8) Answer : (a) 1, 2, 5, 6, 7 (b) 1, 2, 5, 6, 7 (c) 1, 2 (d) 2 (e) 1 Q2 : How many diagonals does each of the following have? (a) A convex quadrilateral (b) A regular hexagon (c) A triangle Answer : (a) There are 2 diagonals in a convex quadrilateral. (b) There are 9 diagonals in a regular hexagon. (c)…