CBSE Class 12th Core Maths Half Yearly Exams
Prepare effectively for the CBSE Class 12th Core Maths half yearly exam 2025-26 with key formulas, important questions, sample papers, and problem-solving strategies. Focus on chapters like Relations and Functions, Matrices, Determinants, and Applications of Derivatives to boost your scores and build confidence for board exams
Muskan Verma31 Oct, 2025
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CBSE Class 12 Core Maths half yearly exam 2025-26 is an important milestone for students. It helps students check their preparation and understand key topics before the final exams. Proper planning, practice, and formula revision are crucial to perform well. Below, we’ve provided a detailed overview of the CBSE Class 12 Core Maths half yearly exam 2025-26, along with important questions, formulas, sample papers, and problem-solving tips.
Class 12th Core Maths Half Yearly Exam 2025-26 Overview
CBSE Class 12 Core Maths half yearly exam 2025-26 focuses on important chapters like Relations and Functions, Inverse Trigonometric Functions, Matrices, Determinants, Continuity and Differentiability, and Applications of Derivatives.
Students are tested not only on theoretical concepts but also on problem-solving skills. Questions often include numerical problems, matrix applications, and word problems to test real-life understanding of mathematics. The exam is designed to help students strengthen concepts and build confidence for board exams.
Class 12th Core Maths Half Yearly Exam Pattern
CBSE Class 12 Core Maths half yearly exam 2025-26 follows a structured pattern. Below, we’ve mentioned the half yearly exam pattern:
| Class 12th Core Maths Half Yearly Exam Pattern | |||
| Section | Marks | Questions Type | Duration |
| Theory | 40 | Short answer, long answer | 1 hour 30 min |
| Problem Solving | 40 | Numerical, application-based | 1 hour 30 min |
| Case Study / Matrix / Word Problems | 20 | Matrix problems, financial, real-life applications | 1 hour |
Class 12th Core Maths Half Yearly Exam Important Questions
Focusing on important questions can save time and improve scores. Below, we’ve mentioned some key types of questions for the CBSE Class 12 Core Maths half yearly exam 2025-26, including:
| Class 12th Core Maths Important Questions Half Yearly Exam | |
| Chapter | Important Questions |
| Relations and Functions | Reflexive, symmetric, transitive relations; one-one and onto functions; bijective functions |
| Inverse Trigonometric Functions | Domain and range problems; solving expressions using identities |
| Matrices | Matrix multiplication; diagonal, symmetric, skew-symmetric matrices; determinant and inverse calculation |
| Determinants | Properties of determinants; evaluation of 2x2 and 3x3 matrices |
| Continuity and Differentiability | Limits; continuity at a point; derivative of piecewise functions |
| Applications of Derivatives | Tangent and normal problems; rate of change; maxima and minima |
Class 12th Core Maths Formula Revision Half Yearly
Formula revision is essential to quickly solve questions in the CBSE Class 12 Core Maths half yearly exam 2025-26. Below, we’ve mentioned some essential formulas, including:
| Class 12th Core Maths Formula Revision Half Yearly | |
| Topic | Formulas |
| Matrix | Order of matrix: rows × columns |
| Diagonal Matrix | Non-diagonal elements = 0 |
| Determinant | det(kA) = kⁿ det(A), det(adj(A)) = det(A)ⁿ⁻¹ |
| Functions | Total number of functions from A to B = |
| Relations | Reflexive: 2^(n² - n), Symmetric: 2^[n(n+1)/2] |
| Derivatives | d/dx(a^x) = a^x ln a, d/dx(log f(x)) = f’(x)/f(x) |
| Rules | Chain rule: dy/dx = dy/du × du/dx, Product rule: d/dx(uv) = u’v + uv’ |
CBSE Class 12th Core Maths Sample Paper 2025-26
Practicing sample papers is a key strategy to perform well in the CBSE Class 12 Core Maths half-yearly exam 2025-26. Sample papers help students understand the types of questions, exam pattern, and time management. Below, we’ve mentioned the CBSE Class 12th Core Maths Sample Paper 2025-26:
| CBSE Class 12th Core Maths Sample Paper 2025-26 | |
| Sample Paper | Download Link |
| CBSE Class 12th Core Maths Sample Paper 2025-26 | Download Now |
Class 12th Core Maths Problem Solving Tips Half Yearly
Problem-solving is critical for scoring well in the CBSE Class 12 Core Maths half yearly exam 2025-26. Below, we’ve mentioned some helpful tips, including:
| Class 12th Core Maths Problem Solving Tips Half Yearly | |
| Tip | Explanation |
| Understand the question | Read carefully and identify the type of problem |
| Use proper formulas | Always check the formulas before solving |
| Matrix orientation | Ensure correct rows and columns for multiplication |
| Stepwise calculation | Solve problems step by step to avoid mistakes |
| Check units and values | Especially in word problems involving money or rates |
| Revise important theorems | Continuity, differentiability, inverse trig properties |
Class 12th Core Maths Half Yearly Exam Last Minute Preparation Strategy
For last-minute preparation for the CBSE Class 12 Core Maths half yearly exam 2025-26, below are some effective strategies:
Formula Revision: Go through all key formulas, especially for matrices, determinants, and derivatives.
Important Questions: Solve all important questions for each chapter to strengthen weak areas.
Sample Papers: Attempt one or two sample papers to simulate exam conditions.
Quick Notes: Prepare a one-page note of tricky formulas, identities, and rules.
Time Management: Practice solving questions within the time limit of each section.
Concept Clarity: Focus on understanding concepts rather than memorization.
Avoid New Topics: Do not start new chapters at the last moment; revise what students know.
Relax and Stay Positive: Confidence and calmness improve performance during the CBSE Class 12 Core Maths half yearly exam 2025-26.
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