Step marking in Class 10 Maths.

Maths is marked differently from Physics, and the difference catches students out. There is usually no separate mark for writing the formula. The marks sit on getting from the words to an equation, reducing that equation to something solvable, solving it, and choosing the root that makes sense. And in geometry, the figure is marked in its own right — sometimes for two of the five marks.

By Anant Khemka · 8 October 2026

The splits below are read from CBSE's own published marking scheme for the 2025-26 Class 10 Mathematics (Standard) sample paper. Your paper's own scheme is the authority for your paper; this is the shape.

A five-mark word problem

Take the standard train-speed problem. The published scheme splits it like this:

Notice what is not there: a mark for quoting a formula. The first two marks are for setting up the expressions, which is the step most students skip straight past. And the last mark is not just for solving — rejecting the impossible root is part of it. A student who writes both roots and stops has not finished the question.

The figure is worth marks on its own

In geometry this is the single most undervalued line on the page. From the same scheme and the ones before it:

• A circle-theorem proof worth three marks gives half a mark for the correct figure, before any reasoning.
• A similar-triangles proof worth five gives a full mark for the figure.
• The Basic Proportionality Theorem proof is split as “correct given, figure and construction: 2” and “correct proof: 2”, with the remaining mark on the numerical part. Two of five marks are earned before the proof begins.
• Where a graph is asked for, the scheme reads “2 for correct Graph”.

A student who writes a correct proof without drawing the figure, or who sketches it roughly and moves on, is giving away marks that were the easiest on the question.

Proofs are marked line by line

A three-mark trigonometric identity is typically ½, 1, ½, ½ and a final half mark for reaching the right-hand side. That has a consequence worth telling a class: an identity you cannot finish is still worth attempting, because each transformation you get right earns its own fraction. Stopping two lines short loses two lines, not the question.

The same holds for the irrationality proofs: the assumption earns, the first deduction earns, the second earns, and the contradiction and conclusion share the last half mark.

One slip is charged once

CBSE's general instruction to examiners, printed in the marking schemes it publishes on cbse.gov.in and unchanged for over a decade, is explicit: “No marks to be deducted for the cumulative effect of an error. It should be penalized only once.”

So a wrong value in step two does not re-charge at steps three, four and five. That is error carried forward, stated as board policy rather than as a convention — and it is the instruction most often lost when somebody is marking their fortieth script of the evening.

Two things we checked and could not find

• No rule on units or significant figures. We read CBSE's Class 10 Maths schemes from 2022 through 2025-26 and found no instruction about units, rounding or precision in either direction. If your centre deducts for them in Maths, that is a house rule, and worth saying so to the class.
• Constructions are not in the current syllabus. Compass-and-straightedge construction questions have gone from Class 10 — the word appears once in the whole 2025-26 syllabus document, under Class 9. Any advice you were given about keeping construction arcs visible no longer applies to this paper.

Common questions

Do I get marks if I cannot finish the sum?

Yes, and this is the most useful thing on this page. Marks are attached to steps, not to the final answer, so forming the equation correctly earns its mark whether or not you solve it. On a five-mark word problem, a student who sets it up properly and then gets stuck has usually already earned two or three.

Do I lose a mark for not writing the formula?

In Class 10 Maths, usually not — the published splits put the marks on forming and solving rather than on quoting. This is a real difference from Physics, where the relation is frequently credited as a step of its own. Do not carry a Physics habit across and assume it protects you here.

Is the figure really worth marks?

Yes, and more than students expect. Half a mark on a three-mark circle proof, a full mark on a five-mark similarity proof, and two of five on the Basic Proportionality Theorem when the given and construction are counted with it. It is the cheapest mark on the paper and the one most often skipped.

Will a different method still get full marks?

The schemes are written as suggested value points rather than as the only acceptable answer, and examiners are told to evaluate on the scheme rather than their own interpretation. In practice a correct alternative route is credited. We would not promise more than that: CBSE's detailed evaluation guidance for examiners is a separate document it does not publish.