Chapter 9 Rational Numbers Exercise 9.2
Chapter 9 Rational Numbers Exercise 9.2 Question 1. Find the sum: Solution. Question 2. Find: Solution: Question 3. Find the product: Solution: Question 4. Find the value of: Solution:
Chapter 9 Rational Numbers Exercise 9.1
Chapter 9 Rational Numbers Exercise 9.1 Question 1. List five rational numbers between: (i) -1 and 0 (ii) -2 and -1 Solution: (i) -1 and 0 Converting each of rational numbers as a denominator 5 + 1 = 6, we have (ii) -2 and -1 Converting each of rational numbers as a denominator 5 + […]
Chapter 8 Comparing Quantities
Chapter 8 Comparing Quantities Very Short Answer Type Question 1. Find the ratio of: (a) 5 km to 400 m (b) 2 hours to 160 minutes Solution: (a) 5 km = 5 × 1000 = 5000 m Ratio of 5 km to 400 m = 5000 m : 400 m = 25 : 2 Required […]
Chapter 8 Comparing Quantities Exercise 8.3
Chapter 8 Comparing Quantities Exercise 8.3 Question 1. Tell what is the profit or loss in the following transactions. Also find profit per cent or loss per cent in each case. (a) Gardening shears bought for ₹ 250 and sold for ₹ 325. (b) A refrigerator bought for ₹ 12,000 and sold at ₹ 13,500. […]
Chapter 8 Comparing Quantities Exercise 8.2
Chapter 8 Comparing Quantities Exercise 8.2 Question 1. Convert the given fractional numbers to per cents: Solution: Question 2. Convert the given decimal fractions to per cents: (а) 0.65 (b) 2.1 (c) 0.02 (d) 12.35 Solution: Question 4. Find: (a) 15% of 250 (b) 1% of 1 hour (c) 20% of ₹ 2500 (d) 75% […]
Chapter 8 Comparing Quantities Exercise 8.1
Chapter 8 Comparing Quantities Exercise 8.1 Question 1. Find the ratio of: (a) ₹ 5 to 50 paise (b) 15 kg to 210 g (c) 9 m to 27 cm (d) 30 days to 36 hours Solution: (a) ₹ 5 to 50 paise Converting the given quantities into same units, we have ₹ 5 = […]
Chapter 7 Congruence of Triangles
Chapter 7 Congruence of Triangles Very Short Answer Type Question 1. In the given figure, name (a) the side opposite to vertex A (b) the vertex opposite A to side AB (c) the angle opposite to side AC (d) the angle made by the sides CB and CA. Solution: (a) The side opposite to vertex […]
Chapter 7 Congruence of Triangles Exercise 7.2
Chapter 7 Congruence of Triangles Exercise 7.2 Question 1. Which congruence criterion do you use in the following? (a) Given: AC = DF AB = DE BC = EF So, ∆ABC = ∆DEF (b) Given: ZX = RP RQ = ZY ∠PRQ = ∠XZY So, ∆PQR ≅ ∆XYZ (c) Given: ∠MLN = ∠FGH ∠NML = […]
Chapter 7 Congruence of Triangles Exercise 7.1
Chapter 7 Congruence of Triangles Exercise 7.1 Question 1. Complete the following statements: (a) Two line segments are congruent if _______ . (b) Among the congruent angles, one has a measure of 70°, the measure of the other angle is _______ . (c) When we write ∠A = ∠B, we actually mean Solution: (a) they have […]
Chapter 6 The Triangles and its Properties
Chapter 6 The Triangles and its Properties Very Short Answer Type Question 1. In ∆ABC, write the following: (a) Angle opposite to side BC. (b) The side opposite to ∠ABC. (c) Vertex opposite to side AC. Solution: (a) In ∆ABC, Angle opposite to BC is ∠BAC (b) Side opposite to ∠ABC is AC (c) Vertex […]