## Chapter – 2: Polynomials

Exercise 2.1 1. Which of the following expressions are polynomials in one variable and which are not? State reasons for your answer. (i) 4×2–3x+7 Solution: The equation 4×2–3x+7 can be written as 4×2–3×1+7×0 Since x is the only variable…

## Chapter – 6: Lines and Angles

Exercise: 6.1 1. In Fig. 6.13, lines AB and CD intersect at O. If ∠AOC +∠BOE = 70° and ∠BOD = 40°, find ∠BOE and reflex ∠COE. Solution: From the diagram, we have (∠AOC +∠BOE +∠COE) and…

## Chapter – 10: Circles

Exercise: 10.1 1. Fill in the blanks: (i) The centre of a circle lies in ____________ of the circle. (exterior/ interior) (ii) A point, whose distance from the centre of a circle is greater than its radius…

## Chapter – 11: Constructions

Exercise 11.1 1. Construct an angle of 90° at the initial point of a given ray and justify the construction. Construction Procedure: To construct an angle 90°, follow the given steps: 1. Draw a ray OA 2….

## Chapter – 1: Rational 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 =…

## Chapter – 2: Linear Equations in One Variable

Exercise 2.1 Solve the following equations. 1. x – 2 = 7 Solution: – x – 2 = 7 x=7+2 x=9 2. y + 3 = 10 Solution: – y + 3 = 10 y = 10…

## Chapter – 3: Understanding Quadrilaterals

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:…

## Chapter – 4: Practical Geometry

Exercise 4.1 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…

## Chapter – 5: Data Handling

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….

## Chapter – 6: Squares and Square Roots

Exercise 6.1 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:…

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