Main Contents in class 8th NCERT Book Mathematics
Chapter 1 Rational Numbers
परिमेय संख्याएँ
In this chapter we have discussed that Rational numbers are closed under the operations of addition, subtraction and muliplication, addition and multiplication are commutative
and associative, 0 is additive identity and 1 is the multiplicative identity. Additive inverse and multiplicative inverse of a rational number.
Distributive property NCERT solution of all questions Exercise 1.1, 1.2
Chapter 2 Linear Equations in One Variable
एक चर वाले रैखिक समीकरण
The equations having highest power of the variable appearing in the equation is 1 are called lnear equation. A linear equation may have for its solution any rational number.
Reducing equation to linear equation by multiplying both sides of the equation by suitable expression. uses of linear equations in finding perimeters
currencey notes ages problems etc. Exercise 2.1, 2.2, 2.3, 2.4, 2.5, 5.6, 2.7
Chapter 3 Understanding Quadrilaterals
चतुर्भुजों को समझना
In this chapter we have disscussed the different types of Quadrilateral like Parallelogram - aquadrilateral with each pair of opposite sides parallel. , Rhombus, Rectangle, Square, Kite NCERT Solution of Exercise 3.1, 3.2, 3.3, 3.4
Chapter 4 Practical Geometry
प्रायोगिक ज्यामिति
in this chapter we have discussed that five measurements can determine a quadrilateal uniquely. A quadrilateral can be constructed uniquely if the lengths of its four sides and a diagonal is given or
its two diagonals and three sides are known or its two adjacent sides and three angles are known or if its three sides and two included angles are given. Exercise 4.1,4.2,4.3,4.4, 4.5
Chapter 5 Data Handling
आँकड़ों का प्रबंधन
Concept of raw data, frequency histogram circle graph pie chart random experimentProbailit of an event. Exercise 5.1, 5.2 and 5.3
Chapter 6 Squares and Square Roots
वर्ग और वर्गमूल
Square numbers and Square roots - all squae numbers end with 0, 1,4,,6 or 9 at unit place also square numbers can only have even numbers of zeros at the end. Square root is the inverse operation of square. There are two integral square roots of a perfect square number. NCERT Book Exercise 6.1, 6.2, 6.3, 6.4
Chapter 7 Cube and Cube Roots
घन और घनमूल
Hardy-Ramanujan Numbers those numbers which can be expressed as sum of two cubes in two different ways like 1729, 414, 13832. Cube numbers- nuber obtained by multiplying by itself three times . Perfect cube- a number in prime factorisation of which each factor appears three times is known as perfect cube. 7.1, 7.2
Chapter 8 Comparing Quantities
राशियों की तुलना
Recalling Ratios and Percentages, finding Increase or decrease percent, discounts, profit and Loss Sale tax value added tax Goods and Services tax Compound Interest
compound interest formula NCERT Solution of Exercise 8.1, 8.2 and 8.3
Chapter 9 Algebraic Expressions and Identities
बीजीय व्यंजक एवं सर्वसमिकाएँ
Adding and subtracting Polynomials multiplying algebric expressions findingarea of a rectangle and sides of . use of stanard identities Exercise Solution 9.1, 9.2, 9.3,9.4
Chapter 10 Visualising Solid Shapes
ठोस आकारों का चित्रण
Front side and top views of 3D Shapes mapping space around us Faces edges and Vertices Euler's Formula F + V = E + 2 Exercise 10.1, 10.2, 10.3, 10.4 , 10.5 with miscellaneous questions
Chapter 11 Mensuration
क्षेत्रमिति
Area of a trapezium and rhombus. surface area of Cuboid cube and cylinder. Volume of cuboid cube and cylinder Exercise 11.1, 11.2, 11.3, 11.4
Chapter 12 Exponents and Powers
घातांक और घात
Power with negative exponets laws of exponents useses of exponents to express small numbers in standard form. Comparing very large and ery small numbers NCERT Book Exercise 12.1,12.2
Chapter 13 Direct and Inverse Proportions
सीधा और प्रतिलोम समानुपात
Direct Proportion and Inverse Proportion Exercise 13.1, 13.2
Chapter 14 Factorisation
गुणनखंडन
Factors of algebraic expressions method of common factors factorisation by regrouping terms and using identities. Division of algebraic expressions Exercise 14.1, 14.2, 14.3 and 14.4
Chapter 15 Introduction to Graphs
आलेखों से परिचय
Bar Graph Pie Graph or circle graph Histogram line graph Linear Graphs Coordinates Quantity and cost Principal and Simple InterestTime and Distance Exercise 15.1, 15.2, 15.3
Chapter 16 Playing with Numbers
संख्याओं के साथ खेलना
Numbers can be written in general form e.g. a two digit number ab will be written as ab= 10a +b, use of general form of numbers for solving puzzles or number games. Divisibility rules. Exercise 15.1, 15.2, 15.3