Mathematics Unit Test Syllabus
Complete Unit Test syllabus for Class XII Mathematics prescribed by the Directorate of School Education, Aligarh Muslim University.
The Directorate of School Education, A.M.U. has issued the Unit Test Wise Division of Syllabus for Class XII Mathematics for the academic session 2026–27. The syllabus is divided into three unit tests. Unit Tests I and II are based on specified chapters and carry 25 marks each, while Unit Test III is an assignment carrying 25 marks.
Mathematics Unit Tests
Use the cards below to jump to a particular unit test.
Unit Test – I
Three chapters with a 25-mark paper
| Unit / Chapter | Marks | 1-Mark Questions | 2-Mark Questions | 4-Mark Questions |
|---|---|---|---|---|
| Relations and Functions | 11 | 01 | 03 | 01 |
| Inverse Trigonometric Functions | 07 | 01 | 01 | 01 |
| Matrices | 07 | 01 | 01 | 01 |
| Total | 25 | 03 | 05 | 03 |
🔗 Relations and Functions
The chapter carries the highest weightage in Unit Test I.
11 Marks📐 Inverse Trigonometric Functions
The chapter carries 7 marks in the unit test.
07 Marks🔢 Matrices
The chapter carries 7 marks in the unit test.
07 Marks📝 Question Practice
The prescribed pattern includes 1-mark, 2-mark and 4-mark questions.
Unit Test – II
Three chapters with a 25-mark paper
| Unit / Chapter | Marks | 1-Mark Questions | 2-Mark Questions | 4-Mark Questions |
|---|---|---|---|---|
| Determinants | 07 | 01 | 01 | 01 |
| Continuity and Differentiability | 11 | 01 | 03 | 01 |
| Applications of Derivatives | 07 | 01 | 01 | 01 |
| Total | 25 | 03 | 05 | 03 |
🔢 Determinants
The chapter carries 7 marks in Unit Test II.
07 Marks📈 Continuity and Differentiability
This chapter has the highest weightage in Unit Test II.
11 Marks📊 Applications of Derivatives
The chapter carries 7 marks in the unit test.
07 Marks📝 Question Practice
Prepare for 1-mark, 2-mark and 4-mark questions according to the prescribed pattern.
A word from the teacher
Mathematics is a subject in which regular written practice matters more than simply reading examples. Students may understand a solution when they see it on the board, but they also need to be able to reproduce the method independently.
For Unit Test I, note that Relations and Functions carries 11 marks, while Inverse Trigonometric Functions and Matrices carry 7 marks each. Students should therefore give adequate practice time to all three chapters while paying attention to the prescribed marks distribution.
For Unit Test II, Continuity and Differentiability carries 11 marks, while Determinants and Applications of Derivatives carry 7 marks each. Do not leave the 2-mark and 4-mark questions until the end. Practise questions of different lengths from the beginning.
The paper pattern shown by A.M.U. includes 3 one-mark questions, 5 two-mark questions and 3 four-mark questions in both Unit Test I and Unit Test II. Students should practise according to this pattern rather than preparing only long questions.
My advice to students: Maintain a separate Mathematics practice notebook. Write the complete steps of every solution and mark questions that you could not solve independently. Revisit those questions after a few days.
Most mistakes in Mathematics happen because of skipped steps, incorrect signs or careless calculations. So, while practising, focus not only on getting the final answer but also on writing the solution clearly and checking each step.
Unit Test – III
Assignment — 25 marks
Chapters included in the assignment
The A.M.U. syllabus lists the following chapters for the Unit Test III assignment. The document gives a combined total of 25 marks and does not assign separate marks to individual chapters.
Total: 25 Marks01. Relations and Functions
Chapter 1
02. Inverse Trigonometric Functions
Chapter 2
03. Matrices
Chapter 3
04. Determinants
Chapter 4
05. Continuity and Differentiability
Chapter 5
06. Applications of Derivatives
Chapter 6
07. Integrals
Chapter 7
08. Applications of Integrals
Chapter 8
12. Linear Programming
Chapter 12
How to prepare for Mathematics
Regular written practice is the best way to prepare for a Mathematics unit test.
Understand the method
Do not memorise a solved example. Understand why each step is used and when the method applies.
Practise every day
Solve a few questions every day rather than completing all the practice immediately before the test.
Write complete solutions
Show the steps clearly. Avoid jumping from the question directly to the final answer.
Practise different marks
Prepare 1-mark, 2-mark and 4-mark questions according to the A.M.U. pattern.
Keep a mistake list
Record questions where you made errors and solve them again during revision.
Check your work
Check signs, calculations and each step before moving to the next question.
Class XII Mathematics — Quick View
| Unit Test | Main Areas | Marks |
|---|---|---|
| Unit Test I | Relations and Functions + Inverse Trigonometric Functions + Matrices | 25 |
| Unit Test II | Determinants + Continuity and Differentiability + Applications of Derivatives | 25 |
| Unit Test III | Assignment covering Chapters 1–8 and Chapter 12 | 25 |
Prescribed Book
NCERT for Class XII — Latest Edition
Important: This post presents the Class XII Mathematics Unit Test syllabus for the academic session 2026–27 according to the Unit Test Wise Division of Syllabus issued by the Directorate of School Education, A.M.U. The marks and question pattern shown above follow the Mathematics syllabus document.
Need the complete AMU syllabus?
View the original Unit Test Wise Division of Syllabus issued by the Directorate of School Education, A.M.U.
📄 View Original PDF
The Mathematics Faculty at SolvedNotes is a dedicated team of math educators focused on strengthening the analytical skills of middle school students. We specialize in the Class 6, 7 & 8 NCERT Mathematics curriculum, providing lucid, step-by-step solutions for key topics like Integers, Simple Equations, and Rational Numbers. Our goal is to move beyond rote memorization, helping students master Geometry concepts such as Lines, Angles, and Triangles. Designed to build a strong foundation for high school math, our notes ensure students approach Algebraic Expressions and Data Handling with logic and confidence.