ICSE Class 10 Mathematics Syllabus 2023-24: Download Class 10 Maths Syllabus PDF

ICSE Class 10 Mathematics Syllabus 2024: Get here the updated and detailed syllabus for ICSE Mathematics Class 10. Download the 2023-24 unit-wise syllabus pdf.

Apr 13, 2023, 12:32 IST

Download ICSE Class 10 Maths Syllabus 2023-24 PDF

ICSE Mathematics Syllabus for Class 10: ICSE Class 10 2022-23 examinations are over and its the time for the beginning of the new academic session. The 2023-24 academic year has started with all freshness. This year will be important for class 10 students as at the end of this year they will be sitting for the ICSE Class 10 board examinations. To ensure that you give your 100% and remain at the top, you need to be 360-degree ready with your preparations. How you start will frame the path to the end. Students must have a syllabus for all the subjects added to their curriculum and compile the material accordingly. Here we have provided the detailed syllabus for ICSE Class 10 Mathematics 2024. Students can check and download the pdf as well.

ICSE Class 10 Mathematics Syllabus Aims:

1. To acquire knowledge and understanding of the terms, symbols, concepts, principles, processes, proofs, etc. of mathematics.

2. To develop an understanding of mathematical concepts and their application to further studies in mathematics and science.

3. To develop skills to apply mathematical knowledge to solve real-life problems.

4. To develop the necessary skills to work with modern technological devices such as calculators and computers in real-life situations.

5. To develop drawing skills, and skills of reading tables, charts and graphs.

6. To develop an interest in mathematics.

ICSE Class 10 Mathematics Highlights:

1. There will be one paper of two and a half hours duration carrying 80 marks and an Internal Assessment of 20 marks.

2. The paper will be divided into two sections, Section I (40 marks) and Section II (40 marks).

3. Section I: will consist of compulsory short answer questions.

4. Section II: Candidates will be required to answer four out of seven questions.

ICSE Class 10 Maths Syllabus 2023-24

1. Commercial Mathematics

(i) Goods and Services Tax (GST)

Computation of tax including problems involving discounts, list-price, profit, loss, basic/cost price including inverse cases. Candidates are also expected to find price paid by the consumer after paying State Goods and Service Tax (SGST) and Central Goods and Service Tax (CGST) - the different rates as in vogue on different types of items will be provided. Problems based on corresponding inverse cases are also included.

(ii) Banking

Recurring Deposit Accounts: computation of interest and maturity value using the formula:

(iii)Shares and Dividends

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

(b) Formulae

Income = number of shares rate of dividend FV. Return = (Income / Investment) 100. Note: Brokerage and fractional shares not included.

2. Algebra

(i) Linear Inequations

Linear Inequations in one unknown for x ϵ N, W, Z, R. Solving:

Algebraically and writing the solution in set notation form.
Representation of solution on the number line.

(ii) Quadratic Equations in one variable

(a) Nature of roots

Two distinct real roots if b2 – 4ac >0
Two equal real roots if b2 – 4ac = 0
No real roots if b2 – 4ac < 0

(b) Solving Quadratic equations by:

Factorisation
Using Formula.

(iii)Ratio and Proportion

(a) Proportion, Continued proportion, mean proportion

(b) Componendo, dividendo, alternendo, invertendo properties and their combinations.

(iv) Factorisation of polynomials:

(a) Factor Theorem.

(b) Remainder Theorem.

Note: f (x) not to exceed degree 3.

(v) Matrices

(a) Order of a matrix. Row and column matrices.

(b) Compatibility for addition and multiplication.

(d) Addition and subtraction of 2x2 matrices.

(e) Multiplication of a 2x2 matrix by

a non-zero rational number
a matrix.

(vi) Arithmetic and Geometric Progression

Finding their General term.
Finding Sum of their first ‘n’ terms.
Simple Applications.

(vii) Co-ordinate Geometry

(a) Reflection

(i) Reflection of a point in a line: x=0, y =0, x= a, y=a, the origin.

(ii) Reflection of a point in the origin.

(iii)Invariant points.

(b) Co-ordinates expressed as (x,y), Section formula, Midpoint formula, Concept of slope, equation of a line, Various forms of straight lines.

(i) Section and Mid-point formula (Internal section only, co-ordinates of the centroid of a triangle included).

(ii) Equation of a line:

Slope –intercept form y = mx c
Two- point form (y-y1) = m(x-x1) Geometric understanding of ‘m’ as slope/ gradient/ tan where is the angle the line makes with the positive direction of the x axis. Geometric understanding of ‘c’ as the y-intercept/the ordinate of the point where the line intercepts the y axis/ the point on the line where x=0.
Conditions for two lines to be parallel or perpendicular.

Simple applications of all the above.

3. Geometry

(a) Similarity

Similarity, conditions of similar triangles.

(i) As a size transformation.

(ii) Comparison with congruency, keyword being proportionality.

(iii) Three conditions: SSS, SAS, AA. Simple applications (proof not included).

(iv) Applications of Basic Proportionality Theorem.

(v) Areas of similar triangles are proportional to the squares of corresponding sides.

(vi) Direct applications based on the above including applications to maps and models.

(b) Loci

Loci: Definition, meaning, Theorems and constructions based on Loci.

(i) The locus of a point at a fixed distance from a fixed point is a circle with the fixed point as centre and fixed distance as radius.

(ii) The locus of a point equidistant from two intersecting lines is the bisector of the angles between the lines.

(iii)The locus of a point equidistant from two given points is the perpendicular bisector of the line joining the points.

Proofs not required.

(i) Angle Properties

The angle that an arc of a circle subtends at the centre is double that which it subtends at any point on the remaining part of the circle.
Angles in the same segment of a circle are equal (without proof).
Angle in a semi-circle is a right angle.

(ii) Cyclic Properties:

Opposite angles of a cyclic quadrilateral are supplementary.
The exterior angle of a cyclic quadrilateral is equal to the opposite interior angle (without proof).

(iii)Tangent and Secant Properties:

The tangent at any point of a circle and the radius through the point are perpendicular to each other.
If two circles touch, the point of contact lies on the straight line joining their centres.
From any point outside a circle, two tangents can be drawn, and they are equal in length.
If two chords intersect internally or externally then the product of the lengths of the segments are equal.
If a chord and a tangent intersect externally, then the product of the lengths of segments of the chord is equal to the square of the length of the tangent from the point of contact to the point of intersection.
If a line touches a circle and from the point of contact, a chord is drawn, the angles between the tangent and the chord are respectively equal to the angles in the corresponding alternate segments.

Note: Proofs of the theorems given above are to be taught unless specified otherwise.

(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

4. Mensuration

Area and volume of solids – Cylinder, Cone and Sphere. Three-dimensional solids - right circular cylinder, right circular cone and sphere: Area (total surface and curved surface) and Volume.

Direct application problems including cost, Inner and Outer volume and melting and recasting methods to find the volume or surface area of a new solid. Combination of solids included.

Note: Problems on Frustum are not included.

5. Trigonometry

(a) Using Identities to solve/prove simple algebraic trigonometric expressions

sin2 A + cos2 A = 1

1 + tan2 A = sec2A

1+cot2A = cosec2A; 0 ≤A ≤90

(b) Heights and distances: Solving 2-D problems involving angles of elevation and depression using trigonometric tables.

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

6. Statistics

Statistics – basic concepts, Mean, Median, Mode. Histograms and Ogive.

(a) Computation of: Measures of Central Tendency: Mean, median, mode for raw and arrayed data. Mean*, median class and modal class for grouped data. (both continuous and discontinuous).

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. from the ogive.
Calculation of inter Quartile range.

7. Probability

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

SI units, Signs, Symbols and Abbreviations

(1) Agreed conventions

(a) Units may be written in full or using the agreed symbols, but no other abbreviation may be used.

(b) The letter ‘s’ is never added to symbols to indicate the plural form.

(d) When unit symbols are combined as a quotient, e.g., metre per second, it is recommended that it should be written as m/s, or as m s -1 .

(e) Three decimal signs are in common international use: the full point, the mid-point and the comma. Since the full point is sometimes used for multiplication and the comma for spacing digits in large numbers, it is recommended that the mid-point be used for decimals.

(2) Names and symbols