Free online practice test
Mathematics Sectional Test 1
HP PAT · Himachal Pradesh Polytechnic Admission Test
Syllabus-checked original practice
Mapped to the official First Year Polytechnic syllabus and answer-checked on 29 August 2026.
View official syllabus sourceBefore you begin
- 1This sectional test contains 50 original Mathematics questions.
- 2Each wrong answer deducts marks using the scoring rule shown above. Unattempted questions score zero.
- 3You can mark a question for review and come back to it later using the question palette.
- 4The timer starts as soon as you click "Start test" and the test auto-submits when time runs out.
- 5You can review your answers and explanations for every question immediately after submitting.
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.