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Class 10 Maths sample paper 2027 style questions, with solutions

The solutions to CBSE's own sample paper are published by CBSE and by many coaching sites. This page does something different: three original questions written in the same style, one each for the 2-mark, 3-mark and 5-mark slots, with every step explained. You try each step first, so you learn how a full-marks answer is written. None of these questions is copied from a sample paper.

A 2-mark, a 3-mark and a 5-mark question

Coordinate Geometry

The Point on the X-Axis

A 2-mark question (Section B style). One unknown, one equation.

Try it step by step
Pair of Linear Equations

Infinitely Many Solutions

A 3-mark question (Section C style). Pick the right ratio condition, solve for k, then check it.

Try it step by step
Surface Areas and Volumes

The Canvas for a Tent

A 5-mark question (Section D style). Slant height, two curved surfaces, then the cost.

Try it step by step

Each question is split into small steps. If you get stuck, the hints ask you a question that points the way. They never just show you the answer. Every question was written for Young Math Brains and checked twice.

How to use sample-paper solutions

  1. Attempt first, then read the solution. A solution you only read feels easy and teaches little.
  2. Write the answer the way the solution is written: every step on its own line. Board marks go to steps, not only to the final answer.
  3. Check your answer when you can. For example, put the value of k back into all three ratios before you leave the question.
  4. For 5-mark questions, split the work: list what is given, what the formula needs, then do the arithmetic last.
  5. Keep a note of the step where you slipped, not just the question number.

Want questions like these for every chapter?

Young Math Brains has lessons, practice and board-style tests for all 14 chapters of CBSE Class 10 Maths, and every answer is checked. Start free with Pair of Linear Equations. No card needed.