ICSE Syllabus Class 10 Maths
ICSE Class 10 Maths Syllabus For Semester (1 & 2) 2023-24
ICSE Class 10 Maths Syllabus is available for the students on the Extramarks website. The students can refer to the latest syllabus while studying and preparing for exams. They get well versed with the topics/chapters included in the course structure. The concepts of Maths will help the students to prepare for the upcoming higher classes. It will prepare them for Semester 1 and Semester 2.
The ICSE Syllabus Class 10 Maths covers essential topics such as Commercial Maths, Algebra, Geometry, and Trigonometry. The students will learn simple algebraic trigonometric expressions. They will understand how to measure heights and distances. The students will be introduced to statistics and various concepts such as mean, median, mode, histogram, and ogive.
ICSE Class 10 Maths Syllabus is divided into two parts, Semester 1 and 2. In Semester 1, the students are required to study Geometry, Algebra, Mensuration, and Trigonometry. In addition, Semester 2 includes practical work.
ICSE Class 10 Maths Syllabus for Semester (1 & 2)
ICSE Class 10 Maths Syllabus is available on the Extramarks website for students who want to refer to it. It will help the students to divide their study process and get the best preparation for the final exams. The entire syllabus is built on the latest 2023-2024 topics, which will prepare the students for their upcoming academic years, Class 11 and Class 12. They will also learn various concepts that are essential for the examinations.
ICSE Maths Syllabus is divided as per Semester 1 and Semester 2 and the topics covered are shown in the table below.
|ICSE Class 10 Maths Syllabus – Semester 1|
|ICSE Class 10 Maths Syllabus Semester 2|
The ICSE Class 10 Maths Syllabus Semester 1:
- Goods and Services Tax
- Linear Inequations
- Quadratic Equations in one variable
- Ratio and Proportion
- Factorization of polynomials
- Arithmetic Progression
- Coordinate Geometry
- Angles Properties
- Cyclic Properties
- Tangent and Secant Properties
The ICSE Class 10 Maths Syllabus Semester 2:
- Coordinate Geometry
- Area and volume of solids, cylinder, cone, and sphere.
- Using Identities to solve simple algebraic, trigonometric expressions
- Measuring the heights and distance. Solving 2-D problems along with angles of elevation and depression using trigonometric tables.
- Statistics and its basic concepts include meaning, median, mode, and histogram.
- Random Experiments
- Sample space
- Definition of probability
- Simple problems on single events
ICSE Class 10 Maths Paper Pattern
ICSE Class 10 Maths exam pattern provides an overview of the questions, distribution of marks, and mandatory questions. Thus, the students can look at the exam pattern before starting their preparation. To score better in the upcoming board exams, the students can study from ICSE Class 10 Maths Paper Pattern. The paper is divided into two parts:
- Semester 1 (40 Marks)-Theoretical Paper and one practical exam (10 Marks)
- Semester 2 (40 Marks)- Theoretical Paper and one practical exam (10 Marks)
Stay tuned to the Extramarks website to get the latest news on the ICSE syllabus and the marking scheme of the exam, timetable, and other exam details.
Evaluation of Practical Work
The students are required to complete Maths assignments/projects. The External Examiner will evaluate it. Further, the Internal and External Examiners assess the tasks independently. Thus, the total marks obtained by the student will be added to the final score. It includes a total of 20 marks.
Students also have to prepare for the internal assessment, which consists of 20 marks. They have to solve selected problems and complete assignments based on the ICSE Class 10 Maths Syllabus. The marking and weightage for each section are as follows:
- Algebra – 19 marks
- Geometry – 14 marks
- Trigonometry – 8 marks
- Probability – 8 marks
- Coordinate Geometry – 10 marks
- Mensuration – 21 marks
Students should regularly visit the Extramarks website for the latest update on ICSE Class 10 Maths Syllabus.
ICSE Class 10 Maths Syllabus & Study Materials 2023-24
Students will get an idea about the topics they will be studying in their academic sessions. Thus, they can refer to the ICSE Class 10 Maths Syllabus to attain a good score. The students will learn how to solve complex quadratic equations in one variable. They will also learn about matrices’ ratios, proportion, and basics.
The syllabus will help the students to prepare for the upcoming Maths chapters in higher classes. It covers essential topics including Probability, Trigonometry, and Statistics. Thus, these chapters will be extended in the upcoming academic year of Class 11 and Class 12. The students will explore from basic to advanced concepts and theories in ICSE Class 10 Maths Syllabus. It will help them to score more in the exam.
The ICSE Class 10 Maths Syllabus is available on the Extramarks website. In addition, the students can also refer to various study materials by clicking on the links below.
Benefits of knowing the ICSE Class 10 Maths Syllabus:
The benefits of referring to ICSE Class 10 Maths Syllabus include
- It prepares the students to expect, learn and understand complex concepts.
- Extramarks provide a detailed and structured syllabus that helps the students follow the correct sequence for the preparation.
- The students can learn the essential topics and sub-topics involved in their course.
- The syllabus helps the students enhance their overall preparation and thus pass the examinations.
- It covers essential concepts such as Algebra, Trigonometry, Probability, and Linear equations.
- The syllabus covers a portion for internal assessment and can start their preparation.
ICSE Maths Class 10 Syllabus
There is one paper of two and a half hours duration carrying 80 marks and Internal Assessment of 20 marks. The paper is divided into two sections: Section I (40 marks) and Section II (40 marks).
Section I consists of compulsory short answer questions. In Section II, you are required to answer four out of seven questions.
1. Commercial Maths
(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.
Recurring Deposit Accounts: computation of interest and maturity value using the formula:
I = P x [n(n+1)/(2 x 12)] x r/100
MV = P x n + I
(iii) Shares and Dividends
(a) Face/Nominal Value, Market Value, Dividend, Rate of Dividend, Premium.
- Income = number of shares x rate of dividend x FV
- Return = (Income / Investment) x 100.
Note: Brokerage and fractional shares not included
(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:
- Using Formula
(c) Solving simple quadratic equation problems.
(iii) Ratio and Proportion
(a) Proportion, Continued proportion, mean proportion.
(b) Componendo, dividendo, alternendo, invertendo properties and their combinations.
(c) Direct simple applications on proportions only.
(iv) Factorisation of Polynomials
(a) Factor Theorem.
(b) Remainder Theorem.
(c) Factorizing a polynomial completely afterobtaining one factor by factor theorem.
Note: f(x) not to exceed degree 3.
(a) Order of a matrix. Row and column matrices.
(b) Compatibility for addition and multiplication.
(c) Null and Identity matrices.
(d) Addition and subtraction of 2 x 2 matrices.
(e) Multiplication of a 2 x 2 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
- Reflection of a point in a line: x = 0, y = 0, x = a, y = a, the origin.
- Reflection of a point in the origin.
- 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 / tanθ where θ 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 of the above.
Similarity, conditions of similar triangles.
- As a size transformation.
- Comparison with congruency, keyword being proportionality.
- Three conditions: SSS, SAS, AA. Simple applications (proof not included).
- Applications of Basic Proportionality Theorem.
- Areas of similar triangles are proportional to the squares of corresponding sides.
- Direct applications based on the above including applications to maps and models.
Loci: Definition, meaning, Theorems and constructions based on Loci.
- 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.
- The locus of a point equidistant from two intersecting lines is the bisector of the angles between the lines.
- 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.
- (a) Construction of tangents to a circle from an external point.
- (b) Circumscribing and inscribing a circle on a triangle and a regular hexagon.
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 method to find the volume or surface area of a new solid. Combination of solids included.
Note: Problems on Frustum are not included.
(a) Using Identities to solve/prove simple algebraic trigonometric expressions
- sin2A + cos2A = 1
- 1 + tan2A = 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.
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: Direct, Short-cut, Step-deviation.
(b) Graphical Representation. Histograms and Less than Ogive.
- Finding the mode from the histogram, the upper quartile, lower Quartile and median from the ogive.
- Calculation of inter Quartile range.
- Random experiments
- Sample space
- Definition of probability
- Simple problems on single events
FAQs (Frequently Asked Questions)
1. What is Abstract and Universal Algebra in ICSE Class 10 Maths?
Abstract algebra deals with general concepts like groups, rings, vectors, and simple fine number systems. The students will learn about the group and ring propositions as two essential generalities of abstract algebra. Besides, Universal algebra includes real-life problems and involves broad concepts of trigonometry.
2. What can you expect in the Probability chapter in ICSE Class 10 Maths Syllabus?
Probability is the branch of Maths that deals with possible issues of relative liability and distributions. The students will learn about the viscosity function and how to calculate the accretive value and distribution function.
3. What is the paper pattern of ICSE Maths?
The ICSE Maths paper is divided into two parts. Part I includes the theoretical part (80 Marks), where the students are required to attempt questions. Further, Paper II involves a practical exam (20 Marks).