The UPCATET Mathematics Sample Paper helps you practise the 80 maths questions that carry the most marks in the PCM group paper. Each paper follows the Class 11 and 12 maths syllabus, from algebra and calculus to coordinate geometry, and comes with full worked solutions.

  • Mathematics is the largest part of the UPCATET PCM paper, with 80 questions worth 320 marks, and each UPCATET Mathematics Sample Paper gives you that full load to practise.
  • Every question carries +4 marks, and 1 mark is taken off for a wrong answer, so the papers train you to leave a guess you are unsure of.
  • The questions follow Class 11 and 12 maths, covering algebra, trigonometry, coordinate geometry, calculus, vectors and probability.

UPCATET Mathematics Sample Paper: Download PDF

UPCATET Mathematics-wise Sample Paper Direct Link
UPCATET Mathematics Sample Paper 1 Download PDF
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UPCATET Mathematics Sample Paper 6 Download PDF
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UPCATET Maths Sample PaperHow to Solve UPCATET Mathematics Sample Papers

Maths is the biggest subject in the UPCATET PCM paper with 80 questions, and each one needs proper working, so your practice should build both speed and accuracy at the same time.

  • Set real exam conditions: Mark your answers on an OMR-style sheet, give yourself about 80 minutes for the 80 maths questions, and do every step on rough sheets.
  • Answer the quick ones first: Clear the short formula-based questions from sets, matrices and basic trigonometry, then return to the longer calculus and coordinate geometry problems.
  • Mind the negative marking: Each wrong answer takes away 1 mark, so leave a question blank when you cannot finish the working with confidence.
  • Show every step: Write out the working rather than doing it in your head, so a sign or calculation slip does not cost you a sure mark.
  • Give calculus and algebra the most time: These two areas carry the largest share of questions, so practise them in every paper.
  • Check the paper afterwards:
    • See which chapters took you the longest.
    • Note the formula or step you missed in each wrong answer.
    • Re-solve the questions you got wrong until the method is clear.

UPCATET Mathematics Sample Paper: Importance

With 80 of the 200 questions coming from maths, the PCM paper is won or lost on this subject, so steady practice on full maths papers matters more than for any other part.

  • You get used to handling all 80 maths questions in about 80 minutes, which is the real pace you need.
  • You learn when to solve and when to skip, since a wrong answer loses 1 mark under the negative marking.
  • You build speed on long calculus and coordinate geometry questions, where many students run out of time.
  • You find the chapters that carry the most questions, such as calculus and algebra, so your revision stays on track.
  • You cut down on sign and calculation slips by practising full working under the clock.
  • Your maths score becomes steady, so you can set a clear target for the PCM paper.

Why Choose Collegedunia's UPCATET Mathematics Sample Paper

Collegedunia builds each UPCATET Mathematics Sample Paper to the current PCM pattern, so your practice matches the 80-question maths load and the marking you will face.

  • Latest and Accurate: Papers follow the current PCM pattern with 80 maths questions at +4 marks each and 1 mark off for a wrong answer.
  • Detailed Solutions: Every question comes with full step-by-step working, so you can see the method, not just the final answer.
  • User-Friendly: Each UPCATET Mathematics Sample Paper PDF downloads in one click and prints clearly for practice.
  • Regular Updates: Papers are updated whenever the university changes the pattern or the syllabus.
  • Free to Download: All UPCATET Mathematics sample papers with solutions are free, with no sign-up.
  • Quality Questions: The questions match the Class 11 and 12 level and style of the real maths paper.

UPCATET Mathematics Sample Paper: Understanding the Exam Pattern

Mathematics is the main subject of the UPCATET PCM paper. The full paper has 200 questions for 800 marks in 3 hours, and maths alone gives 80 questions.

Section No. of Questions Marks per Correct Negative Marking Total Marks
Mathematics 80 +4 -1 320
Physics 50 +4 -1 200
Chemistry 50 +4 -1 200
General Studies 20 +4 -1 80
Total 200 800

Each correct answer gives +4 marks, a wrong answer loses 1 mark, and an unattempted question scores 0, so the marking rewards careful, accurate working.

Duration: 3 hours for the full paper | Mode: Offline (OMR sheet) | Language: English and Hindi

UPCATET Mathematics Sample Paper: Topic-wise Weightage

Knowing which chapters fill the 80 maths questions helps you plan where to spend your time while solving a UPCATET Mathematics Sample Paper.

Topic Avg Qs/year % Weight Priority
Calculus (Differential and Integral) 14 18% High
Algebra (Quadratics, Complex Numbers, Sequences, Binomial) 12 15% High
Coordinate Geometry 10 13% High
Trigonometry 8 10% High
Probability and Statistics 7 9% Medium
Matrices and Determinants 6 7% Medium
Vectors and 3D Geometry 6 7% Medium
Sets, Relations and Functions 5 6% Medium
Permutations and Combinations 4 5% Medium
Differential Equations 4 5% Medium
Linear Programming 4 5% Low

Based on the previous years' trend in the maths paper. Chandra Shekhar Azad University of Agriculture and Technology does not officially release chapter-wise weightage.

Mistakes to Avoid While Solving Sample Papers

Most students practise maths chapter by chapter and never sit the full 80-question paper, then find the real PCM paper hard to finish in time under the negative marking.

  • Guessing on questions you cannot finish and losing marks to the 1-mark penalty.
  • Doing the working in your head and then making sign or calculation slips.
  • Spending too long on one hard calculus or coordinate geometry question and rushing the rest.
  • Skipping practice on Linear Programming and Differential Equations because they feel small.
  • Learning formulas without solving enough questions, so the steps slow you down in the exam.
  • Not reviewing solved papers, so the same mistakes come back on the real day.

FAQs

Ques. What does the UPCATET Mathematics Sample Paper cover?

Ans. It covers the 80 maths questions of the UPCATET PCM paper, worth 320 marks, drawn from Class 11 and 12 maths such as algebra, calculus, coordinate geometry, trigonometry, vectors and probability.

Ques. How many maths questions are there in the UPCATET PCM paper?

Ans. Maths has 80 questions for 320 marks, the largest share of the 200-question, 800-mark PCM paper, alongside Physics, Chemistry and General Studies.

Ques. Is there negative marking in the UPCATET maths section?

Ans. Yes. Each correct answer gives +4 marks and each wrong answer loses 1 mark, while an unattempted question scores 0.

Ques. Are the UPCATET Mathematics sample papers free on Collegedunia?

Ans. Yes. Every UPCATET Mathematics Sample Paper is free to download and comes with full step-by-step solutions for each question.

Ques. How much time should I give to the maths questions?

Ans. The full paper is 3 hours for 200 questions. Since maths is the largest section and every question needs working, plan about 80 minutes for the 80 maths questions and keep the rest for Physics, Chemistry and General Studies.

Ques. What syllabus is the UPCATET maths paper based on?

Ans. It is based on Class 11 and 12 maths from the UP Board and NCERT, covering algebra, trigonometry, coordinate geometry, calculus, vectors, matrices and probability.