Free Practice Questions for Sudan School Certificate — Specialized Mathematics

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Sample Sudan School Certificate — Specialized Mathematics Practice Questions

Try these sample questions to review concepts for the Sudan School Certificate — Specialized Mathematics exam. Each question includes a detailed explanation. Start the interactive quiz above for the full 20+ question experience with AI tutoring.

1For real x, which set is the domain of f(x) = sqrt(x - 4)?

A.x > 4

B.x >= 4

C.x <= 4

D.All real numbers

Explanation: A real square root requires a nonnegative radicand. Thus x - 4 >= 0, including x = 4 because sqrt(0) is defined.

2Evaluate lim as x approaches 5 of [sqrt(2x - 1) - 3]/(x - 5).

A.3

B.1/6

C.0

D.1/3

Explanation: Multiplication by the conjugate simplifies the quotient to 2/[sqrt(2x - 1) + 3] for x != 5. Its limit is 2/(3 + 3) = 1/3.

3If y = 2x^3 - 5x, what is dy/dx at x = 2?

A.19

B.11

C.24

D.7

Explanation: The derivative is 6x^2 - 5. Substitution gives 6(4) - 5 = 19.

4What is the slope of the tangent to y = (x^2 + 1)(x - 2) at x = 3?

A.6

B.10

C.16

D.30

Explanation: The product rule gives y' = 2x(x - 2) + (x^2 + 1). At x = 3 this is 6 + 10 = 16.

5The curve x^2 + xy + y^2 = 7 passes through (1, 2). What is the slope of its tangent there?

A.-2/5

B.-4/5

C.4/5

D.-1/2

Explanation: Implicit differentiation gives 2x + y + x y' + 2y y' = 0. Hence y' = -(2x + y)/(x + 2y), which equals -4/5 at (1, 2).

6Which expression is an antiderivative of 6x^2 - 4x + 5?

A.12x - 4 + C

B.6x^3 - 4x^2 + 5x + C

C.2x^3 - 4x^2 + 5x + C

D.2x^3 - 2x^2 + 5x + C

Explanation: Increase each power by one and divide by that new power. Differentiating 2x^3 - 2x^2 + 5x + C recovers the integrand.

7Using substitution, evaluate the indefinite integral of 2x(x^2 + 4)^3 with respect to x.

A.(x^2 + 4)^4/4 + C

B.(x^2 + 4)^3/3 + C

C.x^2(x^2 + 4)^4/4 + C

D.(x^2 + 4)^4/8 + C

Explanation: Set u = x^2 + 4 so that du = 2x dx. The integral becomes the integral of u^3 du, giving u^4/4 + C.

8For x != 1 and x != -2, (5x + 1)/[(x - 1)(x + 2)] = A/(x - 1) + B/(x + 2). What are A and B?

A.A = 3, B = 2

B.A = 2, B = -3

C.A = 2, B = 3

D.A = 6, B = -9

Explanation: Multiplying through gives 5x + 1 = A(x + 2) + B(x - 1). Setting x = 1 in this polynomial identity yields A = 2, and x = -2 yields B = 3.

9What is the equation of the circle with centre (2, -3) and radius 4?

A.(x + 2)^2 + (y - 3)^2 = 16

B.(x - 2)^2 + (y + 3)^2 = 16

C.(x - 2)^2 + (y + 3)^2 = 4

D.(x - 2)^2 - (y + 3)^2 = 16

Explanation: A circle has equation (x - a)^2 + (y - b)^2 = r^2. Substituting the centre and radius gives (x - 2)^2 + (y + 3)^2 = 16.

10What is the tangent to x^2 + y^2 = 25 at (3, -4)?

A.3x + 4y = 25

B.4x + 3y = 0

C.3x - 4y = 5

D.3x - 4y = 25

Explanation: For this circle, the tangent at (a, b) is ax + by = 25. It passes through (3, -4), and its normal vector (3, -4) follows the radius.

About the Sudan School Certificate — Specialized Mathematics Exam

Independent English-language MCQ study adaptation for the Arabic Specialized Mathematics paper. This is not an official translation, format simulation or substitute for showing complete written solutions. Basic Mathematics is a separate assessment and is not represented as the same paper here.

Exam sponsor: Ministry of National Education (وزارة التعليم والتربية الوطنية); General Directorate of Measurement, Evaluation and Examinations (الإدارة العامة للقياس والتقويم والامتحانات), Sudan. The requirements and fees below concern the certification or admission exam, separate from our free practice resources.

Assessment

The published 2025 guide specifies a 100-mark Specialized Mathematics written paper. Its first 20 marks sample the prescribed topics, followed by structured allocations totalling 80 marks. The April 2026 timetable separately lists Basic and Specialized Mathematics, each three hours. This URL covers Specialized Mathematics only. Separate mandatory oral, practical or coursework components were not established in the accessed sources.

Time Limit

3 hours

Passing Score

Unknown — confirm the current pass standard with the examination authority.

Exam / Certification Fees

Unknown — confirm the current examination sitting fee with the examination authority.

Exam sponsor website

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

Official sources

National Centre: 2025 examination guide, Specialized Mathematics · Source checked 2026-10-14
April 2026 timetable, separately listing both mathematics papers · Source checked 2026-10-14
Ministry of National Education official service portal (issuance fees are not sitting fees) · Source checked 2026-10-14

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.

7 of the structured 80 official marks; 2 practice items

Functions and limits

Domains and removable limits.

13 of structured 80; 3 practice items

Differentiation

Rules, tangents and implicit differentiation.

15 of structured 80; 4 practice items

Integration and partial fractions

Antiderivatives, substitution, integration by parts and decomposition.

15 of structured 80; 3 practice items

Circles and complex numbers

Circle equations, tangents and complex arithmetic.

15 of structured 80; 4 practice items

Counting and matrices

Permutations, combinations, binomial expansion and matrix inversion.

15 of structured 80; 4 practice items

Statistics and probability

Descriptive measures, event probabilities and sampling. The remaining 20 official marks are cross-topic; no fixed unit split for them is claimed.

Preparing for the Sudan School Certificate — Specialized Mathematics Exam

What You Need to Know

Passing score: Unknown — confirm the current pass standard with the examination authority.
Assessment: The published 2025 guide specifies a 100-mark Specialized Mathematics written paper. Its first 20 marks sample the prescribed topics, followed by structured allocations totalling 80 marks. The April 2026 timetable separately lists Basic and Specialized Mathematics, each three hours. This URL covers Specialized Mathematics only. Separate mandatory oral, practical or coursework components were not established in the accessed sources.
Time limit: 3 hours
Exam / certification fees: Unknown — confirm the current examination sitting fee with the examination authority. Official sources

Using Our Practice Resources

Work through all 20 available questions
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Sudan School Certificate — Specialized Mathematics: Suggested Study Strategy

1Write each transformation and check by substitution or differentiation where possible.

2Use the current prescribed books and the official exclusions rather than assuming all textbook topics are examinable.

Frequently Asked Questions

Does this bank also represent Basic Mathematics?

No. The official guide gives Basic Mathematics a separate specification. This unchanged practice URL is now explicitly limited to Specialized Mathematics.

Who takes Specialized Mathematics?

The published academic guide names it in the science-stream subject combination. Current eligibility and registration routes require confirmation with the examination administration.

Are the current sitting fee and pass mark verified?

No. These fields are pending primary-source confirmation. Check the current examination instructions and your registered school or centre. The Ministry portal publishes certificate issuance charges; those do not establish the examination sitting fee or a per-subject total.