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Question 1.In each pair of triangles given below, parts shown by identical marks are congruent. State the test and the one-to-one correspondence of vertices by which triangles in each pair are congruent. Also state the remaining congruent parts. Solution:i. In ∆MST and ∆TBM,∴ side MS ≅ side TB … [Given]m∠MST = m∠TBM = 90° … … Read more

Question 1.In each pair of triangles in the following figures, parts bearing identical marks are congruent. State the test and correspondence of vertices by which triangles in each pair are congruent.i. ii.iii.iv.v.Solution:i.The two triangles are congruent by SAS test in the correspondence XWZ ↔ YWZ. ii.The two triangles are congruent by hypotenuse-side test in the … Read more

Chapter 12 Equations in One Variable 12.2 Question 3.The ratio of the weights of copper and zinc in brass is 13:7. Find the weight of zinc in a brass utensil weighing 700 gm.Solution:Let the weight of zinc in the brass utensil be x gm.Since, the ratio of the weights of copper to zinc in brass … Read more

Question 1. Each equation is followed by the values of the variable. Decide whether these values are the solutions of that equation.i. x – 4 = 3, x = – 1, 7, – 7ii. 9m = 81, m = 3, 9, -3iii. 2a + 4 = 0, a = 2, – 2, 1iv. 3 – … Read more

Question 1.Show the following information by a percentage bar graph. Division of standard 8 A B C D Number of students securing grade A 45 33 10 15 Total number of students 60 55 40 75 Solution: Division of standard 8 A B C D Number of students securing grade A 45 33 10 15 … Read more

Chapter 11 Statistics Set 11.2 Question 1.Observe the following graph and answer the questions. i. State the type of the graph.ii. How much is the savings of Vaishali in the month of April?iii. How much is the total of savings of Saroj in the months March and April?iv. How much more is the total savings … Read more

Chapter 11 Statistics Set 11.1 Question 1.The following table shows the number of saplings planted by 30 students. Fill in the boxes and find the average number of saplings planted by each student. No. of saplings (Scores) xi No. of students (frequency) fi fi × xi 1 4 4 2 6 __ 3 12 __ 4 … Read more

Division of Polynomials Class 8 Practice Set 10.2 Question 1. Divide and write the quotient and the remainder.i. (y2 + 10y + 24) ÷ (y + 4)ii. (p2 + 7p – 5) ÷ (p + 3)iii. (3x + 2×2 + 4×3) ÷ (x – 4)iv. (2m3 + m2 + m + 9) ÷ (2m – 1)v. (3x – 3×2 – 12 … Read more

Question 1.Divide and write the quotient and the remainder.i. 21m² ÷ 7mii. 40a³ ÷ (-10a)iii. (- 48p4) ÷ (- 9p2)iv. 40m5 ÷ 30m3v. (5×3 – 3×2) ÷ x²vi. (8p3 – 4p2) ÷ 2p2vii. (2y3 + 4y2 + 3 ) ÷ 2y2viii. (21×4 – 14×2 + 7x) ÷ 7x3ix. (6×5 – 4×4 + 8×3 + 2×2) ÷ 2x2x. (25m4 – 15m3 + 10m + 8) ÷ 5m3Solution:i. 21m² … Read more

Question 1.John sold books worth Rs 4500 for a publisher. For this he received 15% commission. Complete the following activity to find the total commission John obtained.Solution:Selling price of the books = Rs 4500Rate of commission = 15%Commission obtained = 15% of selling price = 15 × 45∴ Commission obtained = 675 Rupees.∴ The total … Read more