Class 10 · Mathematics · Revision Checklist

Class 10 Mathematics
Revision Checklist

54 topics across 13 chapters. Tick off each topic as you revise — your progress is saved automatically in your browser.

💡

How to use: Tick a topic once you can solve questions on it without notes. Aim for 80%+ before your exam.

0 / 54 topics covered

Start ticking — every chapter you cover builds confidence.

Real Numbers

0/4

I can find HCF and LCM of two or more numbers using prime factorisation (Fundamental Theorem of Arithmetic)

I can prove that √2, √3, √5 are irrational numbers

I know the Fundamental Theorem of Arithmetic and can apply it

I can express any number as a product of prime factors

Polynomials

0/4

I can find the zeroes of a polynomial from its graph

I know the relationship between zeroes and coefficients for quadratic polynomials

I can verify zeroes using the sum and product relationships

I can divide one polynomial by another using the division algorithm

Linear Equations in Two Variables

0/4

I can identify consistent, inconsistent, and dependent systems by comparing ratios

I can solve by substitution and elimination methods (cross-multiplication is not in the 2025-26 syllabus)

I can solve word problems involving two unknowns

I can plot a pair of linear equations and find the point of intersection

Quadratic Equations

0/5

I can solve quadratic equations by factorisation

I can solve using the quadratic formula: x = [-b ± √(b²-4ac)] / 2a

I can determine the nature of roots using the discriminant (D = b²-4ac)

I can form a quadratic equation from given roots

I can solve word problems involving quadratic equations

Arithmetic Progressions

0/4

I can find the nth term using aₙ = a + (n-1)d

I can find the sum of n terms using Sₙ = n/2[2a + (n-1)d]

I can determine if a given sequence is an AP

I can find the missing terms when given parts of an AP

Triangles

0/5

I can state and apply the Basic Proportionality Theorem (Thales' Theorem)

I can state the criteria for similarity: AA, SSS, SAS

I can prove the Pythagoras Theorem

I can apply Pythagoras theorem to find missing sides

I can find areas of similar triangles using the ratio of squares of corresponding sides

Coordinate Geometry

0/4

I can find the distance between two points using the distance formula

I can find the coordinates of a point dividing a segment using the section formula

I can find the midpoint of a line segment

I can find the area of a triangle given its vertices

Trigonometry & Applications

0/5

I know all six trigonometric ratios and their reciprocals

I can prove and apply the identities: sin²θ + cos²θ = 1, sec²θ = 1 + tan²θ

I know the values of sin, cos, tan for 0°, 30°, 45°, 60°, 90°

I can solve heights and distances problems using tan θ = opposite/adjacent

I can set up equations for angle of elevation and depression problems

Circles

0/3

I know that a tangent is perpendicular to the radius at the point of contact

I can prove that tangents from an external point are equal in length

I can apply the tangent-radius theorem to find angles and lengths

Areas Related to Circles

0/4

I can find the length of an arc and area of a sector using: l = (θ/360°) × 2πr and A = (θ/360°) × πr²

I can find the area of a minor and major segment

I can solve problems involving areas and perimeters of combinations of circles, sectors, and triangles

I know the problems are restricted to central angles of 60°, 90°, and 120° only

Surface Area & Volume

0/4

I know the curved SA and total SA formulae for: cone, cylinder, sphere, hemisphere, cube, cuboid

I know the volume formulae for: cone, cylinder, sphere, hemisphere, cube, and cuboid (Frustum is NOT in the 2025-26 syllabus)

I can find the surface area and volume of combined solids (combinations of any two standard solids)

I can solve problems where one solid is melted and recast into another

Statistics

0/4

I can find the mean of grouped data using the direct and step-deviation methods

I can find the median of grouped data using the formula and ogive

I can find the mode of grouped data using the modal class formula

I can draw less-than and more-than ogives and find median from them

Probability

0/4

I know that P(A) = favourable outcomes / total equally likely outcomes

I know that P(A) + P(Ā) = 1

I can find probability for cards, dice, and coin problems

I can list the sample space for simple experiments

More resources for Class 10 Mathematics

Last Minute Revision →Previous Year Papers →Sample Papers →Preparation Guide →

Test yourself after each chapter.

ClearSteps chapter-wise mock tests are designed exactly like board exam questions. Attempt 5 questions, see your score instantly.

Quick Practice Test →

Class 10 MathematicsRevision Checklist

Class 10 Mathematics — Revision Checklist