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Free online practice test

Mathematics Sectional Test 1

CUSAT CAT · CUSAT CAT 2026 B.Tech (Test Code 101)

Syllabus-checked original practice

Mapped to the official CUSAT CAT 2026 B.Tech syllabus and answer-checked on 26 August 2026.

View official syllabus source

Before you begin

  1. 1This sectional test contains 90 original Mathematics questions.
  2. 2Each wrong answer deducts marks using the scoring rule shown above. Unattempted questions score zero.
  3. 3You can mark a question for review and come back to it later using the question palette.
  4. 4The timer starts as soon as you click "Start test" and the test auto-submits when time runs out.
  5. 5You can review your answers and explanations for every question immediately after submitting.

About this CUSAT CAT Mathematics sectional test

This sectional test isolates Mathematics from the CUSAT CAT CUSAT CAT 2026 B.Tech pattern, so you can drill it on its own instead of only meeting it inside the full mock. It draws 90 original practice questions across 27 distinct topics, syllabus-checked the same as our full mocks.

Topics covered

Probability

5 questions

Statistics

5 questions

Circle and Conics

4 questions

Complex Numbers and Quadratic Equations

4 questions

Continuity and Differentiability

4 questions

Definite Integrals and Applications

4 questions

Mathematical Induction and Reasoning

4 questions

Matrices and Determinants

4 questions

Sequences and Series

4 questions

Sets, Relations and Functions

4 questions

Three-Dimensional Geometry

4 questions

Trigonometry

4 questions

Vectors

4 questions

Applications of Derivatives

3 questions

Binomial Theorem

3 questions

Coordinate Geometry

3 questions

Differential Equations

3 questions

Indefinite Integration

3 questions

Limits

3 questions

Permutations and Combinations

3 questions

Straight Lines

3 questions

Conic Sections

2 questions

Functions

2 questions

Inverse Trigonometric Functions

2 questions

Linear Inequalities

2 questions

Logarithms

2 questions

Quadratic Equations

2 questions

Scoring and result analysis

Correct answers earn 4 marks and wrong answers deduct 1 mark. Unattempted questions score zero. This section's 90 questions are difficulty-tagged: 25 easy, 47 medium, 18 hard. After submitting, you receive topic-wise accuracy, time spent, answer explanations, and source links.

Frequently asked questions

Is this an official CUSAT CAT question paper?

No. It's an independent practice test with original Mathematics questions, mapped to the official CUSAT CAT CUSAT CAT 2026 B.Tech syllabus and answer-checked on 26 August 2026.

How many questions are in this Mathematics sectional test, and how long is it?

90 questions in 72 minutes.

Which topics does this test focus on?

It spans 27 topics, with the heaviest coverage on Probability, Statistics, and Circle and Conics.

Is there negative marking in this test?

Yes. Each wrong answer deducts 1 mark, and each correct answer earns 4 marks. Unattempted questions score zero.