Sectional testFirst Year PolytechnicChecked and ready

Free online practice test

HP PAT Mathematics Mock Test 1

Himachal Pradesh Polytechnic Admission Test

Focus on Mathematics with 50 original questions in one dedicated practice session.

Syllabus-checked original practice

Mapped to the official First Year Polytechnic syllabus and answer-checked on 29 August 2026.

View official pattern source

Test-day essentials

Know before you start

  1. The timer starts as soon as you click "Start test" and the test auto-submits when time runs out.
  2. Mark questions for review and return to them while their section or timing group is still open.
  3. Your answers and timer deadline are saved on this device, so a refresh can resume safely.
  4. After submitting, review section and topic scores, explanations, and source links.

About this HP PAT Mathematics sectional test

This sectional test isolates Mathematics from the HP PAT First Year Polytechnic pattern, so you can drill it on its own instead of only meeting it inside the full mock. It draws 50 original practice questions across 14 distinct topics, syllabus-checked the same as our full mocks.

Topics covered

Areas Related to Circles

5 questions

Arithmetic Progression

5 questions

Circles

4 questions

Coordinate Geometry

4 questions

Probability

4 questions

Quadratic Equations

4 questions

Real Numbers

4 questions

Surface Areas and Volumes

4 questions

Trigonometry

4 questions

Pair of Linear Equations in Two Variables

3 questions

Statistics

3 questions

Constructions

2 questions

Polynomials

2 questions

Triangles

2 questions

Scoring and result analysis

Correct answers earn 4 marks and wrong answers deduct 1 mark. Unattempted questions score zero. This section's 50 questions are difficulty-tagged: 7 easy, 43 medium. After submitting, you receive topic-wise accuracy, time spent, answer explanations, and source links.

Frequently asked questions

Is this an official HP PAT question paper?

No. It's an independent practice test with original Mathematics questions, mapped to the official HP PAT First Year Polytechnic syllabus and answer-checked on 29 August 2026.

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

50 questions in 60 minutes.

Which topics does this test focus on?

It spans 14 topics, with the heaviest coverage on Areas Related to Circles, Arithmetic Progression, and Circles.

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.

More HP PAT practice

4 other reviewed tests are published for this exam. The rest of this First Year Polytechnic stage comes first, then the other stages.

All HP PAT mock tests