C. Math || Class 8 || BLE
Chapter 1 : Set
Chapter 2 : Whole Numbers
Chapter 3 : Rational and Irrational Numbers
Chapter 4 : Ratio and Proportion
Chapter 5 : Profit and Loss
Chapter 6 : Unitary Method
Chapter 7 : Simple Interest
Chapter 8 : Area and Volume
Chapter 9 : Indices
Chapter 10 : Algebraic Expression
Chapter 11 : Algebraic Fraction
Chapter 12 : Equation and Graph
Chapter 13 : Lines and Angles
Chapter 14 : Plane Figures
Chapter 15 : Congruency and Similarity
Chapter 16 : Solid Objects
Chapter 17 : Coordinates
Chapter 18 : Tessellation
Chapter 19 : Transformation
Chapter 20 : Bearing and Scale Drawing
Chapter 21 : Statistics
Syllabus in Details
1. Set :
- Disjoint and Overlapping sets
- Subset
2. Whole Numbers:
- Binary Number System - Introduction
- Binary Number System and its expansion
- Conversion from Decimal System to Binary
- Conversion from Binary to Decimal Number System
- Quinary Number System - Introduction
- Quinary Number System and its expansion
- Conversion from Decimal Number System into quinary number
- Conversion from Quinary
3. Rational and Irrational Numbers:
- Irrational Number
- Scientific Notation of Numbers
- Simplification of Numbers with Scientific Notations
4. Ratio and Proportion:
- Ratio
- Proportion
5. Profit and Loss:
- Discount Amount
- Selling Price
- Marked Price
- Percentage
- C.P.
6. Unitary Method:
- Application of Direct Variation
- Application of Indirect Variation
7. Simple Interest:
- Simple Interest - Yearly and Half Yearly
- A = P+I
- S.I. = PTR/100
8. Area and Volume:
- Area of Triangles and Quadrilaterals
- Area of Equilateral Triangle
- Area of Right-angled Triangle
- Area of Isosceles Triangle
- Area of a Parallelogram
- Area of a Rhombus
- Area of a Trapezium
- Area of Quadrilateral
- Area of Circle
9. Indices:
- Laws of Indices
10. Algebraic Expression:
Factorization:
- Factorization by taking common factor and grouping the terms.
- Factorization of the expression of the form (a² - b² ).
- Factorization of trinomial expression reducible to perfect square.
- Factorization of the expression of the form ax² + bx + c
HCF and LCM:
- HCF of algebraic expression
- LCM of algebraic expression
11. Algebraic Fraction:
- Algebraic fraction
- Addition and subtraction of Algebraic fraction having same denominator
- Addition and subtraction of Algebraic fraction having different denominator
- Multiplication and Division of Algebraic expression
12. Equation and Graph:
- Simultaneous equations with two variables.
- Solving quadratic equations by factorization method.
13. Lines and Angles:
- Straight line and transversal
- Parallel lines and transversal
- Relation: When two parallel lines are transversed by a transversal, then the corresponding angles are equal.
14. Plane Figures:
- Identification and verification of the properties of triangle.
- The sum of three interior angles of a triangle is 180°.
- All the angles of an equilateral triangle are equal so each angle of equilateral triangle is 60°.
- The base angles of an isosceles triangle are equal.
- The base angle of right angle isosceles triangles are equal and each is 45°.
- The diagonal of rhombus bisect each other at right angle.
- The diagonals of rhombus bisect the vertical angles
- A quadrilateral having two pairs of equal adjacent sides is a kite. The longer diagonal bisects the other at right angle. The angles between the non - equal sides are equal.
- The longer diagonal of a kite bisects the shorter diagonal at right angle.
- A quadrilateral having a pair of parallel sides is called Trapezium.
- The sum of co-interior angles on each of non-parallel side is 180°.So, a pair of a opposite sides in trapezium is parallel.
Construction:
- Construction of rectangle
- Construction of a square
- Construction of a Parallelogram
Polygon:
- Regular polygon
- Measurement of interior angles of regular polygon:::The sum of interior angles is ( n-2)180° and each angle of regular polygon is (n-2)/n * 180°
- Measurement of exterior angles of regular polygon::: The sum of exterior angles is
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Total 12 Questions
- Question No. 1 = 3 Marks - Set
- Question No. 2 = 4 Marks - Profit and Loss
- Question No. 3 = 4 Marks - Simple Interest
- Question No. 4 = 6 Marks - Whole numbers, ratio & proportion, unitary method
- Question No. 5 = 5 Marks - Area and Volume
- Question No. 6 = 3 Marks - Indices, Algebraic Expression
- Question No. 7 = 3 Marks - Equation and Graph
- Question No. 8 = 4 Marks - HCF, LCM, Algebraic fraction
- Question No. 9 = 4 Marks - Lines and angle
- Question No. 10 = 5 Marks - construction-plane figures, solid objects, similarity
- Question No. 11 = 5 Marks - coordinates, bearing, transformation
- Question No. 12 = 4 Marks - statistics
For Q.No. 2 )
1. Binita went to a shop to buy a mobile set. The cost price of the mobile is Rs. 30,000. The marked price of the mobile is 30% more than the cost price.
- What do you mean by marked price? [1] Ans. Marked price is the price written or labelled on an article before giving any discount.
- Find the marked price of the mobile. [1] Ans. Rs. 39,000
- If Binita bought the mobile at 20% discount, what is the profit or loss percentage of the shopkeeper? [2] Ans. 4%
2. On the occasion of Black Friday 2025, Max International was offering a 25% discount on a laptop purchase with a marked price of Rs. 1,60,000.
- If marked price is represented by MP and discount by D, write the formula to find the selling price.[1]Ans. S.P. = M.P. -D
- How much discount was provided on the laptop?[1] Ans. Rs. 120,000
- If the store made a profit of Rs. 5,000, express the profit in percentage.[2] Ans. 4.35%
Concept and Formulae:
S.P. = Selling Price, C.P. = Cost Price, M.P. = Marked Price
Profit = S.P. - C.P.
Loss = C.P. - S.P.
P% = (Profit Amount / CP ) * 100
L% = ( Loss Amount / CP) * 100
M.P. = S.P. + D%
S.P. = M.P. - D%
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