• Classroom Courses
    • NEET
      • Class 11th
      • Class 12th
      • Class 12th Plus
    • JEE
      • Class 11th
      • Class 12th
      • Class 12th Plus
    • Class 6-10
      • Class 6th
      • Class 7th
      • Class 8th
      • Class 9th
      • Class 10th
    • View All Options
      • Online Courses
      • Distance Learning
      • Hindi Medium Courses
      • International Olympiad
    • NEET
      • Class 11th
      • Class 12th
      • Class 12th Plus
    • JEE (Main+Advanced)
      • Class 11th
      • Class 12th
      • Class 12th Plus
    • JEE Main
      • Class 11th
      • Class 12th
      • Class 12th Plus
    • NEET
      • 2025
      • 2024
      • 2023
      • 2022
    • JEE
      • 2025
      • 2024
      • 2023
      • 2022
    • Class 6-10
    • JEE Main
      • Previous Year Papers
      • Sample Papers
      • Mock Test
      • Result
      • Analysis
      • Syllabus
      • Exam Date
      • Percentile Predictor
      • Answer Key
      • Counselling
      • Eligibility
      • Exam Pattern
      • JEE Maths
      • JEE Chemistry
      • JEE Physics
    • JEE Advanced
      • Previous Year Papers
      • Sample Papers
      • Mock Test
      • Result
      • Analysis
      • Syllabus
      • Exam Date
      • Answer Key
      • Eligibility
      • Exam Pattern
      • Rank Predictor
    • NEET
      • Previous Year Papers
      • Sample Papers
      • Mock Test
      • Result
      • Analysis
      • Syllabus
      • Exam Date
      • College Predictor
      • Answer Key
      • Rank Predictor
      • Counselling
      • Eligibility
      • Exam Pattern
      • Biology
    • NCERT Solutions
      • Class 6
      • Class 7
      • Class 8
      • Class 9
      • Class 10
      • Class 11
      • Class 12
      • Textbooks
    • CBSE
      • Class 12
      • Class 11
      • Class 10
      • Class 9
      • Class 8
      • Class 7
      • Class 6
      • Subjects
      • Syllabus
      • Notes
      • Sample Papers
      • Question Papers
    • ICSE
      • Class 10
      • Class 9
      • Class 8
      • Class 7
      • Class 6
    • State Board
      • Bihar
      • Karnataka
      • Madhya Pradesh
      • Maharashtra
      • Tamilnadu
      • West Bengal
      • Uttar Pradesh
    • Olympiad
      • Maths
      • Science
      • English
      • Social Science
      • NSO
      • IMO
      • NMTC
  • NEW
    • ASAT
    • AIOT
    • TALLENTEX
  • ALLEN E-Store
    • ALLEN for Schools
    • About ALLEN
    • Blogs
    • News
    • Careers
    • Request a call back
    • Book a demo
UPMSP
Class 12
Maths
Sample Papers

UP Board (UPMSB) Class 12 Maths Sample Paper

Getting the UP Board Class 12 Maths Sample Paper and papers for all other subjects is a crucial part of your exam preparation. The Uttar Pradesh Madhyamik Shiksha Parishad (UPMSP) officially releases these sample papers (also known as Model Papers) annually on its website, designed according to the latest syllabus and exam pattern.

ALLEN gives you the direct link for downloading the Maths Sample Paper and for all the other subjects from the UPMSP official website.

1.0UP Board (UPMSB) Class 12 Maths Sample Paper 2026

Practising past papers from 2025, 2024, 2023, and previous years helps students understand question framing, identify repeating topics, and master the art of writing precise answers with correct chemical equations and notation.

Year

Download

2025

Download PDF

2.0How to Download UP Board Class 12 Model Papers

The official model papers for the 2025-2026 academic session are available on the UPMSP website. Follow these steps to access and download the PDFs:

  • Visit the Official UPMSP Website: Go to the main portal of the Uttar Pradesh Madhyamik Shiksha Parishad: upmsp.edu.in.
  • Navigate to Model Papers: On the homepage, look for a link or section dedicated to "Model Paper" or "Modal Paper" (usually found in the main or sidebar menu).
  • Select Class 12: Click on the link for "Class 12" or "Intermediate" model papers.
  • Find Your Subject: A list of all subjects (including Hindi, General Hindi, Mathematics, Physics, Chemistry, Biology, English, etc.) with their respective download links will be displayed.
  • Download the PDF: Click on the Download link next to Mathematics or any other subject you require. The PDF will open, and you can save it to your device.

3.0UP Board (UPMSB) Class 12 Mathematics Exam Overview

The Mathematics paper is typically a 100-mark theory exam designed to be completed in 3 hours and 15 minutes (with 15 minutes specifically for reading the paper).

Unit Name

Marks Allotted

Key Topics Covered (Examples)

Relations & Functions

10

Types of relations, Inverse Trigonometric Functions

Algebra

13

Matrices, Determinants, properties, solving linear equations

Calculus

44

Continuity, Differentiation, Integration, Differential Equations

Vectors & 3D Geometry

17

Vector algebra, Lines and Planes in space

Linear Programming

06

Graphical solutions of LPPs

Probability

10

Conditional Probability, Bayes' Theorem, Random Variables

Total

100


The sample paper will reflect this unit-wise weightage and question pattern.

4.0Benefits of Practicing UP Board Class 12 Sample Papers

  • Understand the Format: You gain a clear idea of the question structure, the number of sections, and the types of questions (Short Answer, Long Answer, Multiple Choice).
  • Identify High-Weightage Topics: The papers guide you on which areas, like Calculus (44 Marks) and Vectors & 3D Geometry, require the most practice time.
  • Improve Time Management: Practicing a full 100-mark paper within 3 hours helps you build the speed and stamina needed to finish the exam on time, especially for calculation-intensive subjects like Mathematics.
  • Boost Confidence: Solving the official model paper reduces anxiety and ensures you are familiar with the question presentation and required solution steps for the final exam.

Exam Guide for Biology

UP Class 12 Maths Exam Overview

UP Class 12 Maths Syllabus & Exam Pattern

UP Class 12 Maths Sample Papers

UP Class 12 Maths Previous Year Papers

UP Class 12 Maths Preparation Tips


MSBSHSE Class 12 All Subjects

UP Class 12 Biology

UP Class 12 Physics

UP Class 12 Chemistry


Other State Boards

Maharashtra – MSBSHSE

Bihar – BSEB

Madhya Pradesh – MPBSE

Uttar Pradesh – UPMSP


Test Prep Study Materials

Maths

Physics

Chemistry

Biology

JEE Previous Year Papers

JEE Sample Papers

JEE Mock Test

NEET Previous Year Papers

NEET Sample Papers

NEET Mock Test

Frequently Asked Questions

The Model Papers are officially released by the UPMSP to serve as a blueprint for the upcoming board examinations. They show the latest exam pattern, the difficulty level of questions, the unit-wise weightage (like 44 marks for Calculus in Maths), and the types of questions (MCQ, Short Answer, Long Answer) students should expect in the final paper.

Yes, the Model Papers are strictly based on the rationalized and prescribed syllabus released by the UPMSP for the current academic year. If any topic was removed or modified, the sample paper reflects those changes. Always refer to the official UP Board syllabus document for confirmation.

The official model papers for all subjects, including Mathematics, are available for free download on the official website of the Uttar Pradesh Madhyamik Shiksha Parishad (UPMSP). The link is usually located in the "Model Paper / Modal Paper" section on the homepage: upmsp.edu.in

The most effective way is to treat it like the actual exam. Sit down for 3 hours and 15 minutes (the exact time allotted), complete the paper without breaks or checking books, and then meticulously check your answers and solution steps afterward. This helps improve your speed and identifies weak areas in concepts like Integration or 3D Geometry.

While the exact questions may not be repeated verbatim, the type, format, and complexity of the questions in the Model Paper are highly indicative of the final exam. Mastering the concepts tested in the sample paper ensures you cover high-priority topics.

Join ALLEN!

(Session 2026 - 27)


Choose class
Choose your goal
Preferred Mode
Choose State
  • About
    • About us
    • Blog
    • News
    • MyExam EduBlogs
    • Privacy policy
    • Public notice
    • Careers
    • Dhoni Inspires NEET Aspirants
    • Dhoni Inspires JEE Aspirants
  • Help & Support
    • Refund policy
    • Transfer policy
    • Terms & Conditions
    • Contact us
  • Popular goals
    • NEET Coaching
    • JEE Coaching
    • 6th to 10th
  • Courses
    • Classroom Courses
    • Online Courses
    • Distance Learning
    • Online Test Series
    • International Olympiads Online Course
    • NEET Test Series
    • JEE Test Series
    • JEE Main Test Series
  • Centers
    • Kota
    • Bangalore
    • Indore
    • Delhi
    • More centres
  • Exam information
    • JEE Main
    • JEE Advanced
    • NEET UG
    • CBSE
    • NIOS
    • NCERT Solutions
    • Olympiad
    • NEET Previous Year Papers
    • NEET Sample Papers
    • JEE Main Sample Papers
    • CBSE Sample Papers
    • jee main answer key session 1
    • JEE Mains Mock Test

ALLEN Career Institute Pvt. Ltd. © All Rights Reserved.

ISO