Syllabus - Math's

 महाराष्ट्र राज्य परीक्षा परिषद, पुणे-१ शासन पत्र क्र. एफईटी-१४/५४३/प्र.क्र./एसडी-५, दिनांक २३ मार्च, २०१६ अन्वये

पूर्व माध्यमिक शिष्यवृत्ती परीक्षा इ.८ वी करिता अभ्यासक्रम माध्यम :-इंग्रजी

Sub  :- MATHEMATICS

Sub-Units                                                                                                                                                     

Unit 1 : Number Work

1.  Natural numbers, whole numbers, integer rational numbers, irrational numbers, real numbers.
2. Rational numbers and operations on rational
3. Even, Odd numbers, prime, twin prime numbers. 06 co-prime numbers, composite numbers.
4.  Additive inverse and multiplicative inverse of
5.  Number line.

Unit 2 : Operation on Numbers

1. Dividend, Divisor, Test of Divisibility,
2. L.C.M. and H.C.F.
3. Square and Square Root Cube and Cube-Root Operations
4. Vulgar fraction and Decimal fractions. numbers .
5. Indices.
6. Ratio, proportion and variation. (time-work Speed)
7. Average

Unit 3 : Geometry

1. Point, segment, line, ray, angle (Straight angle, Zero angle, Whole angle, Reflex angle)
2.  Properties of parallel lines.
3.  Circle, Circular region, Segment.  arc.
4. Properties of triangle and congruence of the triangles.
5. Properties of quadrilateral

Unit 4 : Mensuration

1.   Measures-Length, Mass, Capacity, Measurement of Coins and Currency Notes
2. Perimeter. Triangle, Quadrilateral Polygon.
3. Area-Triangle, Square, Rectangle, Parallelogram Rhombus Quadrilateral, Circle, Irregular Figure, Shaded Portion Trapezium.
4. Volume and Surface area, Cuboid, Cube,

Unit 5 : Statistics

1. Mean, Pictographs, Har Graph, Joint Bar Graph Pie Chart Statistics
2. Sub divided bar graph, Percentage bar graph (Only introduction)

Unit 6 : Applied Mathematics

1. Percentage Applied
2. Simple interest, Compound interest.
3. Profit Loss
4. Discount, Rebate, Commission

Unit 7 : Algebra

1. Use of letters for numbers, factors of algebraic expressions. Value of the polynomial and operations on them.
2. .Identity Algebra
3. Equations in one variable and word problems
4. Polynomial, their operations and factors of polynomial.