NCERT Solutions Class 8 Mathematics Playing with Numbers Ex 16.2

Class 8 – Mathematics Playing with Numbers – Exercise 16.2 Question :1.If 21y5 is a multiple of 9, where y is a digit, what is the value of y? Answer : Since 21y5 is a multiple of 9. Therefore according to the divisibility rule of 9, the sum of all the digits should be a …
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NCERT Solutions Class 8 Mathematics Playing with Numbers Ex 16.1

Class 8 – Mathematics Playing with Numbers – Exercise 16.1 Find the values of the letters in each of the following and give reasons for the steps involved. Question :1. Answer : On putting A = 1, 2, 3, 4, 5, 6, 7 and so on and we get, 7 + 5 = 12 in …
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NCERT Solutions Class 8 Mathematics Introduction to Graphs Ex 15.3

Class 8 – Mathematics 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 No. of apples 1 2 3 4 5 Cost (in 荷) 5 10 15 20 25 (b) Distance travelled by a car Time (in …
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NCERT Solutions Class 8 Mathematics Introduction to Graphs Ex 15.2

Class 8 – Mathematics 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(5, 3), M(5, 5), N(2, 5) Answer : (a) All points A, B, C …
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NCERT Solutions Class 8 Mathematics Introduction to Graphs Ex 15.1

Class 8 – Mathematics 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 p.m.? (b) When was the patient’s temperature 38.5°C? (c) The patient’s temperature was the same two times during the period given. …
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NCERT Solutions Class 8 Mathematics Factorisation Ex 14.4

Class 8 – Mathematics Factorisation – Exercise 14.4 Find and correct the errors in the following mathematical statements: Question : 1. 4(? − 5) = 4? − 5 Answer : L.H.S. = 4(? − 5) = 4? − 20 ≠ R.H.S. Hence the correct mathmatical statement is 4(? − 5) = 4? − 20 Question …
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NCERT Solutions Class 8 Mathematics Factorisation Ex 14.3

Class 8 – Mathematics Factorisation – Exercise 14.3 Question :1. Carry out the following divisions: (i) 28?4 ÷ 56? (ii) −36y3 ÷ 9y2 (iii) 66pq2r3 ÷ 11qr2 (iv) 34?3y3z3 ÷ 51?y2z3 (v) 12a8b8 ÷ (−6a6b4) Answer : Question :2. Divide the given polynomial by the given monomial: (i) (5?2 − 6?) ÷ 3? (ii) (3y8 …
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NCERT Solutions Class 8 Mathematics Factorisation Ex 14.2

Class 8 – Mathematics Factorisation – Exercise 14.2 Question :1. Factorize the following expressions: (i) a² + 8a + 16 (ii) p² − 10p + 25 (iii) 25m² + 30m + 9 (iv) 49y² + 84yz + 36z² (v) 4?² − 8? + 4 (vi) 121b² − 88bc + 16c² (vii) (? + m)² − …
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NCERT Solutions Class 8 Mathematics Factorisation Ex 14.1

Class 8 – Mathematics 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, 3x², 4 (v) 6abc, 24ab², 12a²b (vi) 16x³, −4x², 32x (vii) 10pq, 20qr, 30rp (viii)3x²y³, 10x³y², 6x²y²z   Answer : Question :2. Factorize the following expressions. …
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NCERT Solutions Class 8 Mathematics Direct and Inverse Proportions Ex 13.2

Class 8 – Mathematics Direct and Inverse Proportions – Exercise 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 …
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NCERT Solutions Class 8 Mathematics Direct and Inverse Proportions Ex 13.1

Class 8 – Mathematics Direct and Inverse Proportions – Exercise 13.1 Question : 1.Following are he car parking charges near a railway station up to: 4 hours Rs.60 8 hours Rs.100 12 hours Rs.140 24 hours Rs.180 Check if the parking charges are in direct proportion to the parking time. Answer : Charges per hour: …
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NCERT Solutions Class 8 Mathematics Exponents and Powers Ex 12.2

Class 8 – Mathematics Exponents and Powers – Exercise 12.2 1. Express the following numbers in standard form: (i) 0.0000000000085 (ii) 0.00000000000942 (iii) 6020000000000000 (iv) 0.00000000837 (v) 31860000000 Answer : (i) 0.0000000000085 = 0.0000000000085 x 1012⁄1012 = 8.5 x 10-12 (ii) 0.00000000000942 = 0.00000000000942 x 1012⁄1012 = 9.42 x 10-12 (iii) 6020000000000000 = 6020000000000000 x …
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NCERT Solutions Class 8 Mathematics Exponents and Powers Ex 12.1

Class 8 – Mathematics Exponents and Powers – Exercise 12.1 1. Evaluate: Answer : 2. Simplify and express the result in power notation with positive exponent: Answer : 3. Find the value of: Answer : 4. Evaluate: Answer : 5. Find the value of m for which 5m ÷ 5-3 = 55. Answer : 6. …
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NCERT Solutions Class 8 Mathematics Mensuration Ex 11.3

Class 8 – Mathematics Algebraic Expressions and Identities – Exercise 11.3 Question :1. There are two cuboidal boxes as shown in the adjoining figure. Which box requires the lesser amount of material to make? Answer : (a) Given: Length of cuboidal box ? = 60 cm Breadth of cuboidal box ? = 40 cm Height …
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NCERT Solutions Class 8 Mathematics Mensuration Ex 11.4

Class 8 – Mathematics Algebraic Expressions and Identities – Exercise 11.4 Question :1.Given a cylindrical tank, in which situation will you find surface are and in which situation volume. (a) To find how much it can hold. (b) Number of cement bags required to plaster it. (c) To find the number of smaller tanks that …
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NCERT Solutions Class 8 Mathematics Mensuration Ex 11.1

Class 8 – Mathematics Algebraic Expressions and Identities – Exercise 11.1 Question :1. A square and a rectangular field with measurements as given in the figure have the same perimeter. Which field has a larger area? Answer : Given: The side of a square = 60 m And the length of rectangular field = 80 …
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NCERT Solutions Class 8 Mathematics Mensuration Ex 11.2

Class 8 – Mathematics Algebraic Expressions and Identities – Exercise 11.2 Question :1.The shape of the top surface of a table is a trapezium. Find its area if its parallel sides are 1 m and 1.2 m and perpendicular distance between them is 0.8 m. Answer : Here one parallel side of the trapezium a …
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NCERT Solutions Class 8 Mathematics Visualising Solid Shapes 10.2

Class 8 – Mathematics Visualising Solid Shapes – Exercise 10.2rm Question :1.Can a polyhedron have for its faces Answer : (i) 3 triangles? (ii) 4 triangles? (iii) a square and four triangles? A polyhedron is bounded by four or more than four polygonal faces. (i) No, it is not possible that a polyhedron has 3 …
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NCERT Solutions Class 8 Mathematics Algebraic Expressions and Identities Ex 9.4

Class 8 – Mathematics Algebraic Expressions and Identities – Exercise 9.4 Question :1. Multiply the binomials: (i) (2x + 5) and (4x – 3) (ii) (y – 8) and (3y – 4) (iii) (2.5? – 0.5m) and (2.5? + 0.5m) (iv) (a + 3b) and (x + 5) (v) (2pq + 3q²) and (3pq – …
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NCERT Solutions Class 8 Mathematics Algebraic Expressions and Identities Ex 9.5

Class 8 – Mathematics Algebraic Expressions and Identities – Exercise 9.5 Question :1. Use a suitable identity to get each of the following products: (i) (x + 3)(x + 3) (ii) (2y + 5)(2y + 5) (iii) (2a − 7)(2a − 7) (iv)  (v) (1.1m − 0.4)(1.1m + 0.4) (vi) (a² + b²)(−a² + b²) …
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