ICSE Syllabus Class 10 Math 2024
ICSE Syllabus Class 10 Math 2024: ICSE Syllabus Class 10 Math Year 2024 Chapter 1, 2, 3, 4, 5, 6, 7, & 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25 Include Parts, Exclude Parts full details in this page. Total Marks for the Exam 100.
ICSE Board Class 10 Math have total 25 chapters. Chapter 1 GST [Goods and Services Tax] ,Chapter 2 Banking (Recurring Deposit Accounts) ,Chapter 3 Shares and Dividend In Two Variables,Chapter 4 Linear Inequations (In One Variable),Chapter 5 Quadratic Equations,Chapter 6 Solving (simple) Problems (Based on Quadratic Equations),Chapter 7 Ratio and Proportion (Including Properties and Uses),Chapter 8 Remainder and Factor Theorems,Chapter 9 Matrices, Chapter 10 Arithmetic Progressions, Chapter 11 Geometric Progressions, Chapter 12 Reflection, Chapter 13 Section and Mid-Point Formula, Chapter 14 Equation of a Line, Chapter 15 Similarity (With Applications to Maps and Models), Chapter 16 Loci (Locus and its Constructions), Chapter 17 Circles, Chapter 18 Tangents and Intersecting Chords, Chapter 19 Constructions (Circles), Chapter 20 Cylinder, Cone and Sphere (Surface Area and Volume), Chapter 21 Trigonometrical Identities Chapter 22 Heights and Distances, Chapter 23 Graphical Representation (Histograms and Ogives), Chapter 24 Measures of Central Tendency (Mean, Median, Quartiles and Mode), Chapter 25 Probability
Topic |
Syllabus |
Board |
ICSE |
Class |
10 |
Subject |
Math |
Total Marks for Exam |
100 |
Written Exam Marks |
80 |
Practical Marks |
20 |
ICSE Class 10 Math 2024 Exam Pattern:
- Written Exam: 80 Marks.
- Practical Exam: 20 Marks.
- Total Marks for Exam: 80 +20 = 100.
Chapter wise Syllabus for Class 10 Math:
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:
(ii) Banking
Recurring Deposit Accounts: computation of interest and maturity value using the formula:
I = P n(n+1)/2 x 12 x r /100
M V = P x n + 1
2.) Algebra
(i) Linear Inequations
Linear Inequations in one unknown for x ∈ N, W, Z, R. Solving: Algebraically and writing the solution inn set notation form. Representation of solution on the numbern 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 = 0n
- No real roots if b2 – 4acn < 0
(b) Solving Quadratic equations by:
- Factorisation
- 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.
(iv.) Factorisation of polynomials:
(a) Factor Theorem.
(b) Remainder Theorem.
(c) Factorising a polynomial completely after obtaining one factor by factor 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.
(c) Null and Identity matrices.
(d) Addition and subtraction of 2×2 matrices.
(e) Multiplication of a 2×2 matrix by
- a non-zero rational number
- a matrix.
(vi.) Arithmetic Progression
- Finding the General term of an A.P.
- Finding Sum of first ‘n’ terms of an A.P
(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 +n c
- Two- point form (y-y1) = m(x-x1)n 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 ben parallel or perpendicular.
3.) Geometry
(a) Similarity
Similarity, conditions of similar triangles.
(i) Comparison with congruency, keyword being proportionality.
(ii) Three conditions: SSS, SAS, AA. Simple applications (proof not included).
(iii)Applications of Basic Proportionality Theorem.
(b) Circles
(i) Angle Properties
- The angle that an arc of a circlen 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.
- Angle in a semi-circle is a rightn
(ii) Cyclic Properties:
- Opposite angles of a cyclicn quadrilateral are supplementary.
- The exterior angle of a cyclicn quadrilateral is equal to the opposite interior angle.
(iii)Tangent and Secant Properties:
- The tangent at any point of a circlen and the radius through the point are perpendicular to each other.
- If two circles touch, the point ofn 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 intersectn 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 then 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 are not required.
Applications of all Circle Theorems in solving numerical and theoretical problems are included.
(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 method 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 prove simple algebraic trigonometric expressions
sin2 A + cos2 A = 1
1 + tan2 A = sec2 A
1+cot2 A = 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.
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6.) Statistics
Statistics – basic concepts, Mean, Median, Mode. Histograms and Ogive.
(a) Computation of:
Measures of Central Tendency:n Mean*, median class and modal class for grouped data (only continuous data).
* Mean by all 3 methods included:
Direct :Σfx/ Σf
Short-cut : A + Σfd/Σf where d = x – A
Step-deviation: A + Σft/Σf where t = x – A/i
(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.