ICSE Class 10 Math Syllabus 2024-25 - ICSE 10th Math Syllabus Download PDF

(i). Goods and Services Tax (GST)

Calculating taxes, including issues with discounts, list prices, profits, losses, and basic/cost prices, as well as inverse scenarios. The price paid by the consumer after paying State Goods and Service Tax (SGST) and Central Goods and Service Tax (CGST) is also required of candidates.

(ii). Banking

(iii)Shares and Dividends

(a) Face/Nominal Value, Market Value, Dividend, Rate of Dividend, Premium.

(i) Linear Inequations

Solving: Linear equations with one unknown for x = N, W, Z, and R. Using algebra and putting the answer in set notation.  Solution representation on a number line.
(ii) One-variable quadratic equations

(a) Nature of roots

If b2 - 4ac > 0, there are two distinct real roots.

If b2 - 4ac = 0, there are two equal real roots.

No real roots if b2 - 4ac 0

(b). How to solve quadratic equations

(c) Solving simple quadratic equation problems.

(iii) Ratio and Proportion

(a) Proportion, Continuation, and Mean Proportion

(b) Properties that combine to form compounds, dividends, alternations, and inversions.

(iv) Factorisation of polynomials:

(v) Matrices

(vi) Arithmetic and Geometric Progression

Finding their General term.

Finding Sum of their first ‘n’ terms.

Simple Applications.

(vii) Co-ordinate Geometry
(a) Similarity conditions of similar triangles, similarity.

(i) Comparison with congruency, using proportionality as the crucial word.

(ii) The SSS, SAS, and AA three conditions. Simple examples (evidence not provided).

(iii)Applications of Basic Proportionality Theorem.

(b) Circles
Angle Properties (i)An arc's angle at the center of a circle is twice as large as its angle at any other point on the rest of the circle.

Angles within a single circle segment are equal.

A right angle exists in a semicircle.

(ii) Cyclic Properties

A cyclic quadrilateral's opposing angles are supplementary.

A cyclic quadrilateral has an exterior angle equal to its opposite interior angle.

(iii)Tangent and Secant Properties

(iv). Constructions

Solids' cylinder, cone, and sphere areas and volumes.

Right circular cylinder, right circular cone, and right circular sphere are three-dimensional solids. Volume and Area (total surface area and curved surface area).

Cost issues, inner and outer volume issues, melting and recasting issues, and more are direct application questions.

a technique for calculating a new solid's volume or surface area. solid mixture is added.

Problems with Frustum are not included, please note.

(a) To demonstrate the validity of the following basic algebraic trigonometric expressions: sin2A + cos2a = 1 1+tan2a = sec2a 1+cot2a = cosec2a; 0 A 90°

(a) Heights and distances: Using trigonometric tables, solve 2-D problems involving angles of elevation and depression.

Note: Cases involving more than two right angled triangles excluded.

Basic statistical concepts: Mean, Median, and Mode.

Ogive and histogrammes.

a. Calculation ofMean*, median class, and modal class for grouped data (only continuous data) are measures of central tendency.

* Mean by all 3 methods included:

(b) Graphical Representation. Histograms and Less than Ogive.

Finding the mode from the histogram, the upper quartile, lower Quartile and

median etc.

• Calculation of inter Quartile range.

Random experiments, Sample space, Events, definition of probability, Simple problems on single events