Free Practice Questions for FBISE SSC

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FBISE Higher Secondary School Certificate (Intermediate) Exam (Pakistan)

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Sample FBISE SSC Practice Questions

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

1If matrix A = [[2, k], [4, 6]] is a singular matrix, what is the value of k?

A.3

B.-3

C.6

D.12

Explanation: A matrix is singular if and only if its determinant is zero. For matrix A, det(A) = (2)(6) - (4)(k) = 12 - 4k = 0, which yields 4k = 12, so k = 3.

2If matrix A has order 2 × 3 and matrix B has order 3 × 4, what is the order of the product matrix AB?

A.3 × 3

B.2 × 4

C.3 × 2

D.4 × 2

Explanation: Matrix multiplication is conformable when the number of columns in the first matrix equals the number of rows in the second matrix. When an m × n matrix multiplies an n × p matrix, the resulting product has dimension m × p, which here is 2 × 4.

3What is the multiplicative inverse of the matrix M = [[3, 2], [1, 1]]?

A.[[1, -2], [-1, 3]]

B.[[-1, 2], [1, -3]]

C.[[3, -2], [-1, 1]]

D.[[1, 2], [1, 3]]

Explanation: The inverse is given by M^(-1) = (1 / det(M)) * adj(M). The determinant is det(M) = (3)(1) - (2)(1) = 1. The adjoint swaps diagonal entries and negates off-diagonal entries, producing [[1, -2], [-1, 3]].

4What is the simplified value of the imaginary unit expression i^35, where i = √(-1)?

A.1

B.-1

C.i

D.-i

Explanation: Since i^2 = -1 and i^4 = 1, dividing the exponent 35 by 4 gives a quotient of 8 with a remainder of 3. Therefore, i^35 = (i^4)^8 * i^3 = (1)^8 * (-i) = -i.

5What is the complex conjugate of z = -4 - 7i?

A.4 + 7i

B.4 - 7i

C.-4 + 7i

D.-4 - 7i

Explanation: The complex conjugate of a complex number z = a + bi is obtained by reversing the sign of the imaginary part, yielding z* = a - bi. For z = -4 - 7i, the conjugate is -4 + 7i.

6Which of the following expressions is equivalent to the radical expression ∛(x^6 · y^12) for non-negative real numbers x and y?

A.x^2 · y^4

B.x^3 · y^4

C.x^2 · y^6

D.x^3 · y^9

Explanation: A cube root divides each exponent by 3. Thus the powers become x² and y⁴, giving x²y⁴.

7For x > 0, y > 0, b > 0 and b ≠ 1, which expression equals log_b(x^3 / y^2)?

A.3 log_b(x) - 2 log_b(y)

B.3 log_b(x) + 2 log_b(y)

C.(3 log_b(x)) / (2 log_b(y))

D.log_b(3x) - log_b(2y)

Explanation: The quotient rule turns the division into subtraction of logarithms. Applying the power rule then gives 3 log_b(x) - 2 log_b(y).

8If log_2(x) = 5, what is the value of x?

A.10

B.25

C.32

D.64

Explanation: Converting the logarithmic statement log_b(x) = y into its equivalent exponential form gives x = b^y. Here, x = 2^5 = 32.

9If x + 1/x = 3, what is the value of x^2 + 1/x^2?

A.5

B.7

C.9

D.11

Explanation: Squaring both sides of x + 1/x = 3 yields (x + 1/x)^2 = x^2 + 2(x)(1/x) + 1/x^2 = x^2 + 2 + 1/x^2 = 9. Subtracting 2 gives x^2 + 1/x^2 = 7.

10If x - y = 4 and xy = 2, what is the value of x^3 - y^3?

A.40

B.64

C.88

D.112

Explanation: Use x³ - y³ = (x - y)³ + 3xy(x - y). Substituting x - y = 4 and xy = 2 gives 64 + 24 = 88.

About the FBISE SSC Exam

Independent English-language MCQ study adaptation by OpenExamPrep for selected SSC mathematics, science, computing and English topics. Official subjects use English and Urdu as prescribed by the scheme and include descriptive writing and applicable practical assessment. This bank is not an official translation, format simulation or substitute for writing, oral work where prescribed, or practical preparation. It does not cover all compulsory subjects or all Science/Arts combinations. Eligibility and entry depend on the board's school/private-candidate registration, preceding schooling and subject requirements; private practical candidates must satisfy the prescribed certification requirements.

Exam sponsor: Federal Board of Intermediate and Secondary Education (FBISE), Pakistan. The requirements and fees below concern the certification or admission exam, separate from our free practice resources.

Assessment

Written subject papers combine objective and descriptive assessment. Relevant subjects also have practical assessment; paper structures differ by subject, scheme and cohort. Use the matching official framework rather than treating this combined practice bank as a board-paper simulation.

Time Limit

Varies by subject and component; consult the current date sheet and model paper. Some theory models total three hours, not a single duration for the qualification.

Passing Score

New 40% grading threshold applies to SSC-I from first annual 2026 and SSC-II from first annual 2027. Earlier cohorts and theory/practical requirements follow their applicable rules.

Exam / Certification Fees

SSC first annual 2026 Pakistan notice: registered PKR 2,500 per part or PKR 5,000 both; non-registered PKR 4,000 per part or PKR 6,500 both including registration. Other sessions, late fees and exemptions require their own notice.

Exam sponsor website

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

Official sources

FBISE curricula, frameworks, model papers and practical assessments · Source checked 2026-10-07
FBISE scheme of studies and media · Source checked 2026-10-07
FBISE grading transition notification · Source checked 2026-10-07
SSC first annual 2026 Pakistan fee notice · Source checked 2026-10-07

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.

25% of this bank; no official cross-subject weight

Mathematics

Selected algebra, geometry, trigonometry, sets and statistics.

25% of this bank; no official cross-subject weight

Physics

Selected measurement, mechanics, heat, waves and electricity.

25% of this bank; no official cross-subject weight

Chemistry

Selected atomic structure, bonding, equilibrium and organic chemistry.

15% of this bank; no official cross-subject weight

Biology and Computer Science

Selected cell processes, physiology and computing fundamentals.

10% of this bank; no official cross-subject weight

English

Selected grammar, vocabulary and reading; composition requires separate practice.

Preparing for the FBISE SSC Exam

What You Need to Know

Passing score: New 40% grading threshold applies to SSC-I from first annual 2026 and SSC-II from first annual 2027. Earlier cohorts and theory/practical requirements follow their applicable rules.
Assessment: Written subject papers combine objective and descriptive assessment. Relevant subjects also have practical assessment; paper structures differ by subject, scheme and cohort. Use the matching official framework rather than treating this combined practice bank as a board-paper simulation.
Time limit: Varies by subject and component; consult the current date sheet and model paper. Some theory models total three hours, not a single duration for the qualification.
Exam / certification fees: SSC first annual 2026 Pakistan notice: registered PKR 2,500 per part or PKR 5,000 both; non-registered PKR 4,000 per part or PKR 6,500 both including registration. Other sessions, late fees and exemptions require their own notice. Official sources

Using Our Practice Resources

Work through all 100 available questions
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FBISE SSC: Suggested Study Strategy

1Use the framework for your subject, part and cohort.

2Write complete mathematical solutions and English compositions separately.

3Prepare prescribed laboratory and practical skills.

Frequently Asked Questions

Is this a complete official Matric paper?

No. It is independent English-language MCQ study practice across selected subjects, not an official translation or replacement for descriptive, oral or practical work.

Does a 2026 rule automatically apply to SSC-II?

No. The new grading notification starts SSC-I in 2026 and SSC-II in 2027. Check your cohort's rules and assessment framework.