Exercise 15.1 1. In a cricket match, a batswoman hits a boundary 6 times out of 30 balls she plays. Find the probability that she did not hit a boundary. Solution: According to the question, Total number…

Exercise 1.1 1. Using appropriate properties find. (i) -2/3 × 3/5 + 5/2 – 3/5 × 1/6 Solution: – -2/3 × 3/5 + 5/2 – 3/5 × 1/6 = -2/3 × 3/5– 3/5 × 1/6+ 5/2 =…

Exercise 3.1 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:…

Exercise 5.1 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….

Exercise 14.1 1. Find the common factors of the given terms. (i) 12x, 36 (ii) 2y, 22xy (iii) 14 pq, 28p2q2 (iv) 2x, 3×2, 4 (v) 6 abc, 24ab2, 12a2b (vi) 16 x3, – 4×2 , 32 x…

Exercise 6.1 1. In Δ PQR, D is the mid-point of QR. (i)  PM is ___. Solution: – Altitude An altitude has one end point at a vertex of the triangle and other on the line containing the opposite…

Exercise 7.1 1. Complete the following statements: (a) Two-line segments are congruent if ___________. Solution: – Two line segments are congruent if they have the same length. (b) Among two congruent angles, one has a measure of…

Exercise 8.1 1. Find the ratio of: (a) ₹ 5 to 50 paise Solution: – We know that, ₹ 1 = 100 paise Then, ₹ 5 = 5 × 100 = 500 paise Now we have to…

Exercise 11.1 1. The Length and the breadth of a rectangular piece of land are 500 m and 300 m, respectively. Find (i) Its area (ii) the cost of the land, if 1 m2 of the land costs…

Exercise 12.1 1. Get the algebraic expressions in the following cases using variables, constants and arithmetic operations. (i) Subtraction of z from y. Solution: – = Y – z (ii) One-half of the sum of numbers x…