Chapter 12 Algebraic Expressions Exercise 12.1
Chapter 12 Algebraic Expressions Exercise 12.1 Question 1. Get the algebraic expressions in the following cases using variables, constants and arithmetic operations: (i) Subtraction of z from y. (ii) One half of the sum of numbers x and y. (iii) The number z multiplied by itself. (iv) One-fourth of the product of numbers p and […]
Chapter 11 Perimeter and Area
Chapter 11 Perimeter and Area Very Short Answer Type Question 1. The side of a square is 2.5 cm. Find its perimeter and area. Solution: Side of the square = 2.5 cm Perimeter = 4 × Side = 4 × 2.5 = 10 cm Area = (side)2 = (4)2 = 16 cm2 Question 2. If the perimeter […]
Chapter 11 Perimeter and Area Exercise 11.4
Chapter 11 Perimeter and Area Exercise 11.4 Question 1. A garden is 90 m long and 75 m broad. A path 5 m wide is to be built outside and around it. Find the area of the path. Also find the area of the garden in hectare. Solution: Given: Length = 90 m Breadth = […]
Chapter 11 Perimeter and Area Exercise 11.3
Chapter 11 Perimeter and Area Exercise 11.3 Question 5. From a circular sheet of radius 4 cm, a circle of radius 3 cm is removed. Find the area of the remaining sheet. (Take π = 3.14) Solution: Radius of the circular sheet = 4 cm ∴ Area = πr2 = π × 4 × 4 = […]
Chapter 11 Perimeter and Area Exercise 11.2
Chapter 11 Perimeter and Area Exercise 11.2 Question 1. Find the area of each of the following parallelograms: Solution: (a) Area of the parallelogram = base × altitude = 7 cm × 4 cm = 28 cm2 (b) Area of the parallelogram = base × altitude = 5 cm × 3 cm = 15 cm2 […]
Chapter 11 Perimeter and Area Exercise 11.1
Chapter 11 Perimeter and Area Exercise 11.1 Question 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 ₹ 10,000 Solution: Given: l = 500 m, b = 300 […]
Chapter 10 Practical Geometry
Chapter 10 Practical Geometry Very Short Answer Type Question 1. State whether the triangle is possible to construct if (a) In ΔABC, m∠A = 80°, m∠B = 60°, AB = 5.5 cm (b) In ΔPQR, PQ = 5 cm, QR = 3 cm, PR = 8.8 cm Solution: (a) m∠A = 80°, m∠B = 60° […]
Chapter 10 Practical Geometry Exercise 10.5
Chapter 10 Practical Geometry Exercise 10.5 Question 1. Construct the right angled ∆PQR, where m∠Q = 90°, QR = 8 cm and PR = 10 cm. Solution: Steps of construction: (i) Draw QR = 8 cm. (ii) Draw m∠Q = 90°. (iii) Draw an arc with centre R and radius 10 cm to cut the […]
Chapter 10 Practical Geometry Exercise 10.4
Chapter 10 Practical Geometry Exercise 10.4 Question 1. Construct ∆ABC, given m ∠A = 60°, m ∠B = 30° and AB = 5.8 cm. Solution: Steps of construction: (i) Draw AB = 5.8 cm. (ii) Draw ∠A = 60° and ∠B = 30° to meet each other at C. (iii) ABC is the required triangle. […]
Chapter 10 Practical Geometry Exercise 10.3
Chapter 10 Practical Geometry Exercise 10.3 Question 1. Construct ∆DEF such that DE = 5 cm, DF = 3 cm and m ∠DEF = 90°. Solution: Steps of construction: (i) Draw DF = 3 cm. (ii) Draw an angle of 90° at D and cut DE = 5 cm. (iii) Join EF. (iv) EPF is […]