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Exam Review

Key Facts: Punjab PSEB Matric Mathematics Exam

80+20

Theory + INA marks under Scheme of Studies 2025–26

PSEB Scheme of Studies / Class 10 Mathematics syllabus

33%

Aggregate pass requirement (theory+practical+INA)

PSEB Scheme of Studies

25%

Minimum required in theory

PSEB Scheme of Studies

Code 04

Subject code for Mathematics

PSEB Scheme of Studies 2025–26

~3 hours

Typical board theory duration (confirm date sheet)

Common Matric theory logistics / confirm on pseb.ac.in

English MCQ adaptation

This free local bank is not the official mixed paper format

OpenExamPrep practice policy

PSEB Matric Mathematics (code 04) is Class 10 board maths with Theory 80 + INA 20 = 100 and a mixed written paper. Pass is 33% aggregate with min 25% theory. Fees are paid through schools. This free 2026 bank is an English MCQ study adaptation — not an official paper simulation.

Sample Punjab PSEB Matric Mathematics Practice Questions

Try these sample questions to review concepts for the Punjab PSEB Matric Mathematics exam. Each question includes a detailed explanation. Start the interactive quiz above for the full 100+ question experience with AI tutoring.

1Using Euclid's division algorithm, HCF(135, 225) is:
A.45
B.15
C.75
D.9
Explanation: 225 = 135 × 1 + 90; 135 = 90 × 1 + 45; 90 = 45 × 2 + 0. The last non-zero remainder is 45, so HCF(135, 225) = 45.
2If a = 2² × 3³ × 5 and b = 2³ × 3 × 7, then HCF(a, b) is:
A.2² × 3
B.2³ × 3³
C.2 × 3
D.2³ × 3³ × 5 × 7
Explanation: HCF uses the minimum exponents of common primes: min(2,3)=2 for 2 and min(3,1)=1 for 3. So HCF = 2² × 3 = 12.
3The decimal expansion of 7/80 terminates after how many places?
A.2
B.3
C.4
D.5
Explanation: 80 = 2⁴ × 5, so after writing with denominator 10⁴ = 2⁴ × 5⁴ we get 7/80 = (7 × 5³)/10⁴ = 875/10000 = 0.0875, which terminates after 4 decimal places. In general, the number of places equals the higher of the powers of 2 and 5 in the denominator in lowest terms.
4Which of the following is an irrational number?
A.√(36/49)
B.√12 / √3
C.√7
D.0.272727... (27 repeating)
Explanation: √7 cannot be written as a ratio of two integers because 7 is not a perfect square. √(36/49) = 6/7, √12/√3 = √4 = 2, and 0.272727... = 27/99 = 3/11 are all rational.
5If HCF(a, b) = 12 and LCM(a, b) = 180, and a = 36, then b is:
A.60
B.48
C.72
D.90
Explanation: For positive integers, HCF(a, b) × LCM(a, b) = a × b. So 12 × 180 = 36 × b ⇒ 2160 = 36b ⇒ b = 60.
6The product of two consecutive positive integers is always:
A.even
B.odd
C.a perfect square
D.a prime
Explanation: Among any two consecutive integers, one is even, so their product is always even. Consecutive integers cannot both be odd, and the product is generally neither prime nor a perfect square (e.g. 2 × 3 = 6).
7If the sum of the zeros of the quadratic polynomial kx² − 3x + 5 is 3/2, then k is:
A.2
B.−2
C.3
D.1/2
Explanation: For ax² + bx + c, sum of zeros = −b/a. Here a = k, b = −3, so sum = 3/k. Set 3/k = 3/2 ⇒ k = 2.
8A quadratic polynomial whose zeros are 3 and −5 is:
A.x² + 2x − 15
B.x² − 2x − 15
C.x² + 2x + 15
D.x² − 8x + 15
Explanation: Sum of zeros = 3 + (−5) = −2 and product = 3(−5) = −15. A monic polynomial is x² − (sum)x + product = x² − (−2)x + (−15) = x² + 2x − 15.
9If p(x) = x³ − 3x² + 4x − 12, then p(3) equals:
A.0
B.6
C.−6
D.12
Explanation: p(3) = 27 − 3(9) + 4(3) − 12 = 27 − 27 + 12 − 12 = 0. By the factor theorem, (x − 3) is a factor of p(x).
10If α and β are zeros of x² − 5x + 6, then α² + β² equals:
A.13
B.25
C.11
D.19
Explanation: α + β = 5 and αβ = 6. Then α² + β² = (α + β)² − 2αβ = 25 − 12 = 13.

About the Punjab PSEB Matric Mathematics Exam

Punjab PSEB Matric Mathematics is the Class 10 public examination mathematics paper under the Punjab School Education Board. It assesses NCERT-aligned Class 10 mathematics: real numbers, polynomials, pair of linear equations in two variables, quadratic equations, arithmetic progressions, triangles, coordinate geometry, introduction to trigonometry and its applications, circles, constructions (conceptual), areas related to a circle, surface areas and volumes, statistics, and probability. Official assessment is Theory 80 + INA 20 = 100 (subject code 04) with a mixed written paper. Pass requires 33% aggregate with min 25% theory per the Scheme of Studies. Fees and exact blueprints are notified by PSEB on pseb.ac.in. The 100 questions on this page are a free English-language multiple-choice study adaptation with step-by-step worked calculations; they are not a full simulation of the official mixed paper.

Exam sponsor: Punjab School Education Board (PSEB). The requirements and fees below concern the certification or admission exam, separate from our free practice resources.

Assessment

Official PSEB Matric Mathematics (code 04) is assessed as Theory 80 + Internal Assessment (INA) 20 = 100 under the Scheme of Studies 2025–26. The written board paper is mixed format (objective-style items plus subjective short/long answers), not pure MCQ. INA includes practical/activity work and CCE-style assessment as notified. English, Punjabi, and Hindi media may be available depending on school offerings. Typical theory duration is about 3 hours — confirm the year’s date sheet on pseb.ac.in. This practice bank is an English-language MCQ study adaptation for concept and calculation fluency — it does not simulate official attempt limits, subjective long answers, or INA practicals.

Time Limit

About 3 hours for theory (confirm year date sheet); INA practical activities are separately timed as notified

Passing Score

33% aggregate of theory + practical + INA with a minimum of 25% in theory (Scheme of Studies); verify the current pass criteria circular.

Exam / Certification Fees

As notified by PSEB and paid through schools for regular Matric sittings (no single fixed public subject fee for all categories).

Exam sponsor website

Fees, eligibility, and exam policies can change. Confirm them with the exam sponsor before applying or paying.

Our practice resources: topics covered

We aim to reflect publicly available exam outlines and topic information in our study resources. Coverage, format, and difficulty may differ from the actual exam, and we cannot guarantee that every detail is accurate or current. Confirm exam requirements, fees, and policies with the official exam sponsor.

~6% of this local bank

Real Numbers

Euclid’s division algorithm, fundamental theorem of arithmetic, HCF/LCM via primes, irrationality arguments, and terminating versus non-terminating decimals.

~4% of this local bank

Polynomials

Zeros and coefficients (including sum–product conditions), forming monic quadratics, and remainder/factor theorems.

~7% of this local bank

Linear Equations in Two Variables

Substitution and elimination, consistency conditions with parameter k, graphical intersections, and multi-step word problems.

~8% of this local bank

Quadratic Equations

Factorization, discriminant and equal-roots parameters, forming equations from roots, and consecutive-integer product problems.

~7% of this local bank

Arithmetic Progressions

nth term, sum formulas, recovering d from Sₙ, special term relations, and counting AP applications.

~9% of this local bank

Triangles

BPT, AAA similarity, perimeter and area ratios of similar triangles, Pythagoras applications including multi-step figures.

~8% of this local bank

Coordinate Geometry

Distance, midpoint, section formula, area, centroid, and collinearity conditions.

~8% of this local bank

Trigonometry

Standard values, cofunction and Pythagorean identities, solving for angles, and tan-substitution expressions.

~7% of this local bank

Applications of Trigonometry

Elevation and depression, tower-on-building two-angle problems, ladders, broken tree, and dual-altitude shadows.

~7% of this local bank

Circles

Tangent–radius theorem, equal tangents, length of tangents, angle between tangents, and tangential quadrilateral side sums.

~3% of this local bank

Constructions

Conceptual m:n division of a segment, similar-triangle scale-factor construction steps, and number of tangents from a point.

~6% of this local bank

Areas Related to Circles

Sector and segment areas, circumference–diameter relations, and quarter-circle grazing models.

~6% of this local bank

Surface Areas and Volumes

Sphere, cone, cylinder, hemisphere formulas and melting/recasting volume balance problems.

~7% of this local bank

Statistics

Mean, median, modal class, missing-value mean, mean under linear transformations, and grouped median formula roles.

~7% of this local bank

Probability

Classical probability with dice, coins, cards, bags, complementary events, and without-replacement compound draws.

Preparing for the Punjab PSEB Matric Mathematics Exam

What You Need to Know

  • Passing score: 33% aggregate of theory + practical + INA with a minimum of 25% in theory (Scheme of Studies); verify the current pass criteria circular.
  • Assessment: Official PSEB Matric Mathematics (code 04) is assessed as Theory 80 + Internal Assessment (INA) 20 = 100 under the Scheme of Studies 2025–26. The written board paper is mixed format (objective-style items plus subjective short/long answers), not pure MCQ. INA includes practical/activity work and CCE-style assessment as notified. English, Punjabi, and Hindi media may be available depending on school offerings. Typical theory duration is about 3 hours — confirm the year’s date sheet on pseb.ac.in. This practice bank is an English-language MCQ study adaptation for concept and calculation fluency — it does not simulate official attempt limits, subjective long answers, or INA practicals.
  • Time limit: About 3 hours for theory (confirm year date sheet); INA practical activities are separately timed as notified
  • Exam / certification fees: As notified by PSEB and paid through schools for regular Matric sittings (no single fixed public subject fee for all categories). Official sources

Using Our Practice Resources

  • Work through all 100 available questions
  • Review every answer and explanation
  • Track weak areas and revisit them
  • Use our AI tutor for tough concepts

Punjab PSEB Matric Mathematics: Suggested Study Strategy

1Practice official PSEB model/sample papers for Mathematics under timed board conditions so you can switch from MCQ drills to written short and long answers.
2Write formulas first, then substitute carefully (especially in heights-and-distances and mensuration).
3Memorize standard trigonometric values and identities; most application errors come from wrong complementary ratios or mixing elevation with depression.
4For algebra, always check discriminants and consistency conditions (a1/a2 vs b1/b2 vs c1/c2) before solving.
5Build a formula sheet for distance, section, area of triangle, Sₙ of AP, sector/segment, and mean/median/mode of grouped data and revise it weekly.
6Do not neglect INA practical/activity marks — they contribute 20 marks under the official scheme.

Frequently Asked Questions

Is the official PSEB Matric Mathematics exam pure multiple-choice?

No. Official PSEB Matric Mathematics is a mixed paper with objective-style items and subjective short/long answers under Theory 80 + INA 20 = 100. This bank is an English-language multiple-choice study adaptation for concepts and multi-step calculations only — not an official paper simulation.

What is the theory–INA mark pattern for PSEB Class 10 Mathematics?

Under the official Scheme of Studies 2025–26, Mathematics (code 04) is Theory 80 + INA 20 = 100. INA includes practical/activity work and CCE-style assessment as notified. Confirm the year’s circular on pseb.ac.in.

How long is the PSEB Matric Mathematics paper?

Board theory papers at Matric level are commonly about 3 hours. Confirm the year’s date sheet and instructions on pseb.ac.in. INA practical activities are timed separately as notified.

What is the passing score for PSEB Matric Mathematics?

Pass requires 33% aggregate of theory + practical + INA with a minimum of 25% in theory, per the Scheme of Studies. Always verify the current result/pass criteria circular for your examination year.

How much does the PSEB Matric Mathematics exam cost?

Mathematics is not sold as a separate marketplace product. Fees are notified by PSEB and paid through schools for regular candidates. Check pseb.ac.in for the current fee circular.

What syllabus does this bank follow?

It is aligned to PSEB/NCERT Class 10 Mathematics: real numbers, polynomials, pair of linear equations in two variables, quadratic equations, arithmetic progressions, triangles, coordinate geometry, introduction to trigonometry and applications, circles, constructions (conceptual), areas related to a circle, surface areas and volumes, statistics, and probability.

Where can I find the official PSEB Class 10 Maths syllabus?

Use the PSEB syllabus index at pseb.ac.in/syllabus?catid=14 and the Class 10 Mathematics syllabus PDF published by PSEB for the examination year (e.g. 2025–26 Maths syllabus on static.pseb.ac.in).