Chapter 14 Factorisation Exercise 14.1
Chapter 14 Factorisation Exercise 14.1 Question 1. Find the common factors of the given terms. (i) 12x, 36 (ii) 2y, 22xy (iii) 14pq, 28p2q2 (iv) 2x, 3×2, 4 (v) 6abc, 24ab2, 12a2b (vi) 16×3, -4×2, 32x (vii) 10pq, 20qr, 30rp (viii) 3x2y3, 10x3y2, 6x2y2z Solution: (i) 12x, 36 (2 × 2 × 3 × x) […]
Chapter 13 Direct and Inverse Proportions
Chapter 13 Direct and Inverse Proportions Very Short Answer Type Question 1. A train is moving at a uniform speed of 100 km/h. How far will it travel in 20 minutes? Solution: Let the distance travelled by train in 20 minutes be x km. Since the speed is uniform, the distance travelled will be directly […]
Chapter 13 Direct and Inverse Proportions Ex 13.2
Chapter 13 Direct and Inverse Proportions Ex 13.2 Question 1. Which of the following are in inverse proportion? (i) The number of workers on a job and the time to complete the job. (ii) The time taken for a journey and the distance travelled in a uniform speed. (iii) Area of cultivated land and the […]
Chapter 13 Direct and Inverse Proportions Exercise 13.1
Chapter 13 Direct and Inverse Proportions Exercise 13.1 Question 1. Following are the car parking charges near a railway station up to. 4 hours – ₹ 60 8 hours – ₹ 100 12 hours – ₹ 140 24 hours – ₹ 180 Check if the parking charges are in direct proportions to the parking time. […]
Chapter 12 Exponents and Powers
Chapter 12 Exponents and Powers Very Short Answer Type Question 1. Find the multiplicative inverse of: (i) (ii) Solution: Question 2. Expand the following using exponents. (i) 0.0523 (ii) 32.005 Solution: Question 3. Simplify and write in exponential form. Solution: Question 4. Simplify the following and write in exponential form. Solution: Question 5. Express as […]
Chapter 12 Exponents and Powers Exercise 12.2
Chapter 12 Exponents and Powers Exercise 12.2 Question 1. Express the following numbers in standard form: (i) 0.0000000000085 (ii) 0.00000000000942 (iii) 6020000000000000 (iv) 0.00000000837 (v) 31860000000 Solution: (v) 31860000000 = 3.186 × 10000000000 = 3.186 × 1010 Hence, the required standard from = 3.186 × 1010 Question 2. Express the following numbers in usual form. […]
Chapter 12 Exponents and Powers Exercise 12.1
Chapter 12 Exponents and Powers Exercise 12.1 Question 1. Evaluate: Solution: Question 2. Simplify and express the result in power notation with a positive exponent. Solution: Question 3. Find the value of Solution: Question 4. Solution: Question 5. Find the value of m for which 5m ÷ 5-3 = 55. Solution: 5m ÷ 5-3 = 55 ⇒ 5m-(-3) = 55 [∵ […]
Chapter 11 Mensuration
Chapter 11 Mensuration Very Short Answer Type Question 1. Find the perimeter of the following figures: So, the circle will have a larger area. Question 4. The length and breadth of a rectangle are in the ratio 4 : 3. If its perimeter is 154 cm, find its length and breadth. Solution: Let the length […]
Chapter 11 Mensuration Exercise 11.4
Chapter 11 Mensuration Exercise 11.4 Question 1. Given a cylindrical tank, in which situation will you find the surface area and in which situation volume. (a) To find how much it can hold. (b) Number of cement bags required to plaster it. (c) To find the number of smaller tanks that can be filled with […]
Chapter 11 Mensuration Exercise 11.3
Chapter 11 Mensuration Exercise 11.3 Question 1. There are two cuboidal boxes as shown in the figure. Which box requires the lesser amount of material to make? Solution: (a) Volume of the cuboid = l × b × h = 60 × 40 × 50 = 120000 cm3 (b) Volume of cube = (Side)3 = (50)3 = […]