ICSE Class 10 Maths Reduced Syllabus 2023-24: Chapter Wise Topics

1) The GST (Goods and Services Tax) 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; the varying rates as popular on various types of goods will be presented. There are similar issues based on corresponding inverse circumstances.

2) Banking Recurring Deposit Accounts: Interest and maturity values are calculated using the following formula: I=P[n(n+1)2x12]xr/100MV=Pxn+I

Linear EquationsSolving: 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) The roots' natureIf b2 - 4ac > 0, there are two distinct real roots. If b2 - 4ac = 0, there are two equal real roots. No roots at all if b2 - 4ac 0.

(b) Resolving quadratic equations using. Utilizing a Factorization Formula.

(c) Handling straightforward quadratic equation issues.

(iii) Proportion and Ratio

(a) Proportion, Continuation, and Mean Proportion

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

(iv) Polynomial factorization Factor Theorem, in (a). Remainder Theorem (b). (c) Fully factorizing a polynomial after discovering one factor via the factor theorem.

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 the Fundamental Proportionality Theorem

b) Circles

i) Angle Properties An arc's angle at the center of a circle is twice as large as its angle at any other point in the rest of the circle.
Angles within a single circle segment are equal.
A right angle exists in a semicircle.

ii) Cyclic CharacteristicsA cyclic quadrilateral's opposite angles are supplementary.
A cyclic quadrilateral has an exterior angle equal to its opposite interior angle.

iii) Tangent and Secant Properties 

Any point on a circle's tangent line and its radius are perpendicular to one another.

The point of contact between two circles is the straight line connecting their centers.

Two tangents that are the same length can be drawn from any point outside of a circle.

The product of the segment lengths is equal when two chords intersect either internally or outside.

The product of the lengths of the chord segments is equal to the square of the length of the tangent from the point of contact to the point of intersection if a chord and tangent externally intersect.

If a line intersects a circle and a chord results from the point of contact

iv) Constructions

(a) Construction of tangents to a circle from an external point.

(b) Circumscribing and inscribing a circle on a triangle and a regular hexagon.

(a) a) Proving basic algebraic trigonometric formulas using Identitiessin2 A + cos2 A = 11 + tan2 A = sec2A1+cot2A = cosec2A; 0 ≤A ≤90°

(b) 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 are excluded.

Obtaining the median, upper quartile, lower quartile, and other values from the ogive, as well as the mode from the histogram.

Measurement of the interquartile range.