Syllabus Madhyamik 2018

Mathematics
Class X
Syllabus
1. Quadratic equation in one variable
iV Concept of quadratic equation in one variable
iiV Concept of quadratic equation in one variable ax²+bx+c=0 ÈSa,b,c are real numbers and a0V
iiiV Solution of quadratic equation with the help factorization. (Roots are rational numbers.)
ivV Solution of quadratic equation by expressing perfect square.
vV Concept of Sridhara Acharyya's formula.
viV Concept about the nature of roots.
viiV Concept of construction of a quadratic equation in one variable if roots are known.
viiiV Solution of real problems of quadratic equation in one variable.
2. Simple Interest
iV Concept of principal, interest, rate of interest in percent per annum, amount, time.
iiV Concept of the formula SI = prt
100 V
iiiV Concept of solution of different real problems.
3. Theorems related to circle.
iV In the same circle or in equal circles, equal chords intercept equal arcs and subtend equal angels at the
centre (Proof is not necessary)
iiV In the same circle or in equal circles, the chords which subtend equal angles at the centre are equal
(proof is not necessary).
iiiV One and only one circle can be drawn through three non-collinear points. (Proof is not necessary)
ivV If a line drawn from the centre of any circle bisects the chord, which is not a diameter, will be a
perpendicular on the chord— proof.
vV A perpendicular drawn from the centre of a circle on a chord, which in not a diameter, bisects the
chord - proof.
viV Application of above statements.
4. Rectangular Parallelopiped or Cuboid
iV Concept of the things of the shape of retanglular parallelopiped and cube which are seen in real life.
iiV Concept of the number of the surfaces, edges, vertices and diagonals.
iiiV Concept of formation of formula of total surface area.
ivV Concept of formation of formula of volume.
vV Concept of formation of formula of the length of a diagonal.
viV Concept of solution of different real problems.
5. Ratio and proportion
iV Concept of ratio and proportion in Algebra.
iiV Concept of different types of ratio and proportion
iiiV Concept of application of different proportional properties in the problems related to proportion
6. Compound Interest (upto 3 years) and uniform rate of increase or decrease
iV Concept of difference in simple interest and compound interest.
iiV Concept of formation of formula if the compound interest is given yearly, half-yearly and quarterly.
iiiV Concept of solution of different real problems.