Exercise 12.1 Page No: 197 1. Evaluate: (i) 3-2 (ii) (-4)-2 (iii) (1/2)-5 Solution: (i) 3-2 = (1/3)2 = 1/9 (ii) (-4)-2 = (1/-4)2 = 1/16 (iii) (1/2)-5 = (2/1)5 = 25 = 32 2. Simplify and express the result in power notation with positive exponent: (i) (-4)4 ÷(-4)8 (ii) (1/23)2 (iii) -(3)4×(5/3)4 (iv) (3-7÷3-10)×3-5 (v) 2-3×(-7)-3 Solution: (i) = (-4)5/(-4)8 = (-4)5-8 = 1/(-4)3 (ii) (1/23)2 = 12/(23)2 = … Read more
Exercise 11.1 Page No: 171 1.A square and a rectangular field with measurements as given in the figure have the same perimeter. Which field has a larger area? Solution: Side of a square = 60 m (Given) And the length of rectangular field, l = 80 m (Given) According to question, Perimeter of rectangular field … Read more
Ex 10.1 Question 1.For each of the given solid, the two views are given. Match for each solid the corresponding top and front views. The first one is done for you.Solution. Question 2.For each of the given solid, the three views are given. Identify for each solid the corresponding top, front and side views.Solution. Question … Read more
Exercise 9.1 Page No: 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 – p (v) (x/2) + (y/2) – xy (vi) 0.3a – 0.6ab + 0.5b Solution : Sl. No. Expression Term Coefficient i) 5xyz2 – 3zy Term: 5xyz2Term: -3zy 5 -3 ii) 1 + x + x2 Term: 1Term: xTerm: … Read more
Ex 8.1 Question 1.Find 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 ₹ 5Solution.(a)Speed of a cycle 15 km per hour to the speed of scooter 30 km per hourRatio of the speed of cycle which is 15 … Read more
Exercise 7.1 Page: 114 1. Which of the following numbers are not perfect cubes? (i) 216 Solution: By resolving 216 into prime factor, 216 = 2×2×2×3×3×3 By grouping the factors in triplets of equal factors, 216 = (2×2×2)×(3×3×3) Here, 216 can be grouped into triplets of equal factors, ∴ 216 = (2×3) = 6 Hence, … Read more
Exercise 6.1 Page: 96 1. 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 Solution: The unit digit of square of a number having ‘a’ at its unit place ends with … Read more
Exercise 5.1 Page: 76 1. 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 cassettes produced by 5 companies. (d) The number of passengers boarding trains from … Read more
Exercise 4.1 Page: 60 1. Construct the following quadrilaterals. (i) Quadrilateral ABCD AB = 4.5 cm BC = 5.5 cm CD = 4 cm AD = 6 cm AC = 7 cm Solution: The rough sketch of the quadrilateral ABCD can be drawn as follows. (1) ∆ABC can be constructed by using the given measurements … Read more
Exercise 3.1 Page: 41 1. Given here are some figures. Classify each of them on the basis of the following. Simple curve (b) Simple closed curve (c) Polygon (d) Convex polygon (e) Concave polygon Solution: a) Simple curve: 1, 2, 5, 6 and 7 b) Simple closed curve: 1, 2, 5, 6 and 7 c) … Read more
