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Chapter 7: Cubes and Cube Roots Ex 7.1 1. Which of the following numbers are not perfect cubes? (i) 216 (ii) 128 (iii) 1000 (iv) 100 (v) 46656 2. Find the smallest number by which each of the following numbers must be multiplied to obtain a perfect cube. (i) 243…
Chapter 8:Comparing Quantities Ex 8.1 1. Find the ratio of the following. (a) Speed of a…
Chapter 9: Algebraic Expressions and Identities Ex 9.1 1. Identify the terms, their coefficients for each of the following expressions. (i) 5xyz2 – 3zy(ii) 1 + x + x2(iii) 4x2y2 – 4x2y2z2 + z2(iv) 3 – pq + qr – rp(v) + – xy(vi) 0.3a – 0.6ab + 0.5b 2. Classify the following polynomials as monomials,…
Chapter 11: Mensuration Ex 11.1 1. A square and a rectangular field with measurements as given in the figure have the same perimeter. Which field has a larger area? 2. Mrs Kaushik has a square plot with the measurement as shown in the figure. She wants to construct a house…
Chapter 12: Powers and Exponents Ex 12.1 1. Evaluate i) 3-2 ii) (-4)-2 iii) (1/2) ⁻⁵ 2. Simplify and express the result in power notation with a positive exponent i) (-4)5 ÷ (-4)8 ii) (1/23)2 iii) (-3)4 × (5/3)4 iv) (3-7 ÷ 3-10) × 3-5 v) 2-3 × (-7)-3 3. Find the value of i)…
Chapter 13: Direct and Inverse Proportion Ex 13.1 1. Following are the car parking charges near a railway station up to 4 hours ₹60 8 hours ₹100 2 hours ₹140 24 hours ₹180 Check if the parking charges are in direct proportion to the parking time 2. A mixture of…
Chapter 14: Factorisation Ex 14.1 1. Find the common factors of the given terms. First 6 sum link (i) 12x, 36 (ii) 2y, 22xy (iii) 14 pq, 28p² q² (iv) 2x, 3x² , 4 (v) 6 abc, 24ab², 12 a²b (vi) 16 x³, – 4x², 32x (vii) 10 pq, 20qr,…
Chapter 15: Introduction to Graphs Ex 15.1 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 p.m.? (b) When was the patient’s temperature 38.5° C? (c) The patient’s temperature was the same two times during the…
Chapter 16: Playing With Numbers Ex 16.1 Find the values of the letters in each of the following and give reasons for the steps involved. First 4 sums 5 and 6th sum 7 and 8th sum 9 and 10th sum 1. 3 A 2. 4 A …