Chapter 15 Introduction to Graphs Exercise 15.2
Chapter 15 Introduction to Graphs Exercise 15.2 Question 1. Plot the following points on a graph sheet. Verify if they lie on a line. (a) A (4, 0), B(4, 2), C(4, 6), D(4, 2.5) (b) P(1, 1), Q(2, 2), R(3, 3), S(4, 4) (c) K(2, 3), L(6, 3), M(5, 5), N (2, 5) Solution: Yes, […]
Chapter 15 Introduction to Graphs Exercise 15.1
Chapter 15 Introduction to Graphs Exercise 15.1 Question 1. The following graph shows the temperature of a patient in a hospital, recorded every hour. (a) What was the patient’s temperature at 1 pm? (b) When was the patient’s temperature 38.5°C? (c) The patient’s temperature was the same two times during the period given. What were […]
Chapter 14 Factorisation
Chapter 14 Factorisation Very Short Answer Type Question 1. Find the common factors of the following terms. (a) 25x2y, 30xy2 (b) 63m3n, 54mn4 Solution: (a) 25x2y, 30xy2 25x2y = 5 × 5 × x × x × y 30xy2 = 2 × 3 × 5 × x × y × y Common factors are 5× x […]
Chapter 14 Factorisation Exercise 14.3
Chapter 14 Factorisation Exercise 14.3 Question 1. Carry out the following divisions. (i) 28×4 ÷ 56x (ii) -36y3 ÷ 9y2 (iii) 66pq2r3 ÷ 11qr2 (iv) 34x3y3z3 ÷ 51xy2z3 (v) 12a8b8 ÷ (-6a6b4) Solution: Question 2. Divide the following polynomial by the given monomial. (i) (5×2 – 6x) ÷ 3x (ii) (3y8 – 4y6 + 5y4) ÷ y4 (iii) 8(x3y2z2 + x2y3z2 + x2y2z3) ÷ 4x2y2z2 […]
Chapter 14 Factorisation Exercise 14.2
Chapter 14 Factorisation Exercise 14.2 Question 1. Factorise the following expressions. (i) a2 + 8a +16 (ii) p2 – 10p + 25 (iii) 25m2 + 30m + 9 (iv) 49y2 + 84yz + 36z2 (v) 4×2 – 8x + 4 (vi) 121b2 – 88bc + 16c2 (vii) (l + m)2 – 4lm. (Hint: Expand (l + m)2 first) (viii) a4 + 2a2b2 + b4 Solution: […]
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 […]