Chapter 15 Introduction to Graphs
Chapter 15 Introduction to Graphs Question 1. Write the coordinates of each point shown is the graph. Solution: Question 2. From the given figure, choose the letters indicate the location of the points. (i) (3, 1) (ii) (0, 5) (iii) (3, 0) (iv) (1, 2) (v) (2, 3) (vi) (8, 12) (vii) (6, 10) (viii) […]
Chapter 15 Introduction to Graphs Exercise 15.3
Chapter 15 Introduction to Graphs Exercise 15.3 Question 1. Draw the graphs for the following tables of values, with suitable scales on the axes. (a) Cost of apples (b) Distance travelled by car. (i) How much distance did the car cover during the period 7:30 am to 8 am? (ii) What was the time when […]
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 […]