Free Practice Questions for SSU ITB Jalur Tes

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Key Facts: SSU ITB Jalur Tes Exam

SSU

Current Exam Identity (Replaces SM-ITB)

ITB Official Admission Portal

STEM & Soshum

Academic Tracks Evaluated

Direktorat Pendidikan ITB

Online CBT

Test Administration Format

SSU ITB Portal

FSRD & Arch

Drawing Assessment Required

ITB Admission Guidelines

Competitive

Selection Quota Based

ITB Faculty Capacities

SSU ITB Jalur Tes is ITB's institutional entrance examination replacing the former SM-ITB test track. It assesses Mathematics and Physics for STEM programs and Mathematics for social/management programs, with an additional drawing test for FSRD and Architecture. Testing is administered online through ITB's secure testing portal. This independent bank provides English-language MCQ practice covering key quantitative concepts, physics principles, and spatial/visual fundamentals, and cannot simulate the required drawing performance.

Sample SSU ITB Jalur Tes Practice Questions

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

1What is the value of the algebraic limit lim_{x -> 3} (x^2 - 9) / (x^2 - 2x - 3)?

A.3/2

B.3

C.1

D.2

Explanation: Factoring the numerator gives (x - 3)(x + 3), and factoring the denominator gives (x - 3)(x + 1). Canceling the common factor (x - 3) for x != 3 yields (x + 3) / (x + 1). Evaluating at x = 3 produces (3 + 3) / (3 + 1) = 6/4 = 3/2.

2If f(x) = (3x^2 - 5)^4, what is the derivative f'(x)?

A.12x(3x^2 - 5)^3

B.24x(3x^2 - 5)^3

C.24x(3x^2 - 5)^4

D.4(6x)^3

Explanation: Applying the chain rule, f'(x) = 4(3x^2 - 5)^3 * d/dx(3x^2 - 5). Differentiating the inner function gives 6x, so the complete derivative is 4 * 6x * (3x^2 - 5)^3 = 24x(3x^2 - 5)^3.

3What is the equation of the tangent line to the cubic curve y = 2x^3 - 3x^2 + 4 at the point where x = 2?

A.y = 12x - 8

B.y = 6x - 4

C.y = 12x - 16

D.y = 18x - 28

Explanation: Evaluating the function at x = 2 gives y = 2(8) - 3(4) + 4 = 16 - 12 + 4 = 8, so the contact point is (2, 8). The derivative is y' = 6x^2 - 6x, which gives slope m = 6(4) - 6(2) = 12 at x = 2. The point-slope form gives y - 8 = 12(x - 2), simplifying to y = 12x - 16.

4The polynomial function f(x) = x^3 - 6x^2 + 9x + 2 has a local maximum at x = a and a local minimum at x = b. What is the value of f(a) - f(b)?

A.2

B.6

C.8

D.4

Explanation: Differentiating yields f'(x) = 3x^2 - 12x + 9 = 3(x - 1)(x - 3). The second derivative f''(x) = 6x - 12 indicates a local maximum at a = 1 (where f''(1) = -6 < 0) and a local minimum at b = 3 (where f''(3) = 6 > 0). Evaluating the function gives f(1) = 1 - 6 + 9 + 2 = 6 and f(3) = 27 - 54 + 27 + 2 = 2, so f(a) - f(b) = 6 - 2 = 4.

5What is the exact value of the definite integral \int_{0}^{3} (2x + 1) dx?

A.9

B.12

C.15

D.18

Explanation: An antiderivative of 2x + 1 is x^2 + x. Evaluating from 0 to 3 gives (3^2 + 3) - 0 = 12.

6What is the value of the definite integral \int_{0}^{1} 2x \sqrt{1 + 3x^2} dx?

A.7/9

B.14/9

C.16/9

D.28/9

Explanation: Substitute u = 1 + 3x^2, which gives du = 6x dx, or 2x dx = du / 3. When x = 0, u = 1; when x = 1, u = 4. The integral transforms to (1/3) \int_{1}^{4} u^(1/2) du = (1/3) [ (2/3) u^(3/2) ]_{1}^{4} = (2/9) [ 4^(3/2) - 1^(3/2) ] = (2/9)(8 - 1) = 14/9.

7What is the area of the finite planar region bounded between the parabola y = 4 - x^2 and the line y = x + 2?

A.7/2

B.9/4

C.9/2

D.11/2

Explanation: Equating expressions to find points of intersection: 4 - x^2 = x + 2 gives x^2 + x - 2 = 0, which factors into (x + 2)(x - 1) = 0, yielding x = -2 and x = 1. Integrating the difference (4 - x^2) - (x + 2) = 2 - x - x^2 gives [ 2x - x^2/2 - x^3/3 ] from -2 to 1. At 1 the value is 7/6, and at -2 the value is -10/3; subtracting yields 7/6 - (-20/6) = 27/6 = 9/2.

8A rectangular container with an open top and a square base of side length x meters must enclose a volume of 8 m^3. The base material costs USD 6 per square meter, while the side material costs USD 3 per square meter. What base side length x minimizes the total material cost?

A.1 m

B.4 m

C.3 m

D.2 m

Explanation: Given volume V = x^2 * h = 8, the height is h = 8 / x^2. The total cost function is C(x) = 6x^2 + 3(4xh) = 6x^2 + 12x(8 / x^2) = 6x^2 + 96/x. Differentiating and setting to zero: C'(x) = 12x - 96/x^2 = 0 implies 12x^3 = 96, so x^3 = 8, yielding x = 2 meters. The second derivative C''(2) = 12 + 192/8 = 36 > 0 confirms a minimum.

9What is the value of the trigonometric limit lim_{x -> 0} (sin(6x)) / (tan(2x))?

A.3

B.1/3

C.12

D.1

Explanation: Rewriting the limit as lim_{x -> 0} [ (sin(6x)/(6x)) * 6x ] / [ (tan(2x)/(2x)) * 2x ]. As x approaches 0, sin(6x)/(6x) -> 1 and tan(2x)/(2x) -> 1, leaving (6x) / (2x) = 6/2 = 3.

10A spherical weather balloon is inflated such that its volume increases at a constant rate of 36\pi cm^3/s. At what rate is the radius of the balloon increasing at the instant when the radius is 3 cm?

A.0.5 cm/s

B.1.0 cm/s

C.2.0 cm/s

D.3.0 cm/s

Explanation: The volume of a sphere is V = (4/3)\pi r^3. Differentiating with respect to time gives dV/dt = 4\pi r^2 (dr/dt). Substituting dV/dt = 36\pi and r = 3 yields 36\pi = 4\pi (3^2) (dr/dt) = 36\pi (dr/dt), which solves to dr/dt = 1.0 cm/s.

About the SSU ITB Jalur Tes Exam

SSU ITB Jalur Tes (Seleksi Siswa Unggul ITB — Jalur Tes Daring) is Institut Teknologi Bandung's institutional test-based entrance pathway (formerly known as SM-ITB). It evaluates prospective undergraduate students through an online academic qualification test covering Mathematics and Physics for science/technology programs, Mathematics for social-humanities/business programs, and a dedicated drawing assessment for FSRD (Faculty of Art and Design) and Architecture.

Exam sponsor: Direktorat Pendidikan / Kantor Seleksi Mahasiswa ITB. The requirements and fees below concern the certification or admission exam, separate from our free practice resources.

Assessment

Online computer-based qualification test: Mathematics and Physics for science and engineering tracks, Mathematics for social-humanities and business tracks, plus a mandatory practical drawing assessment for FSRD and Architecture

Time Limit

No single fixed duration is published on the reviewed public route pages; applicants must use their current official test instructions

Passing Score

Program-specific competitive selection determined by ITB faculty capacity quotas and applicant qualification scores

Exam / Certification Fees

Published on the official ITB SSU admission portal per registration pathway

Exam sponsor website

Reported exam pass rate: Not published; selection depends on faculty capacity and applicant results. Admission selectivity varies widely by faculty (e.g., STEI, FTI, FTTM, SAPPK, FSRD, SBM). Exam sponsor website

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

Official sources

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.

50% of this practice bank

Matematika (Sains & Teknologi / Umum)

Calculus, algebraic systems, trigonometry, coordinate geometry, matrices, and probability/statistics.

35% of this practice bank

Fisika (Science & Technology Track)

Mechanics, thermodynamics, electricity & magnetism, waves & optics, and modern physics.

15% of this practice bank

Visual & Spatial Design Foundations (FSRD & Architecture)

Orthographic projections, one- and two-point perspective, composition hierarchy, and shading principles.

Preparing for the SSU ITB Jalur Tes Exam

What You Need to Know

Passing score: Program-specific competitive selection determined by ITB faculty capacity quotas and applicant qualification scores
Assessment: Online computer-based qualification test: Mathematics and Physics for science and engineering tracks, Mathematics for social-humanities and business tracks, plus a mandatory practical drawing assessment for FSRD and Architecture
Time limit: No single fixed duration is published on the reviewed public route pages; applicants must use their current official test instructions
Exam / certification fees: Published on the official ITB SSU admission portal per registration pathway Official sources

Using Our Practice Resources

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SSU ITB Jalur Tes: Suggested Study Strategy

1Prioritize high-yield STEM calculus and mechanics: practice rigorous multi-step problem solving with derivatives, definite integrals, Newton's laws, and rotational dynamics.

2Work through full analytical derivations rather than memorizing formula shortcuts, as ITB qualification problems frequently combine concepts across domains.

3Review electric circuits and thermodynamics cycles: focus on Kirchhoff's loop rules, capacitor energy storage, and PV-diagram work calculations.

4For Architecture and FSRD aspirants, study spatial visualization: practice visualizing 3D objects from 2D orthographic projections and understanding perspective vanishing points.

5Practice under timed constraints with scratch paper to build speed and calculation accuracy for the online CBT environment.

Frequently Asked Questions

What is SSU ITB Jalur Tes and how does it relate to SM-ITB?

SSU ITB (Seleksi Siswa Unggul ITB) is the official identity replacing the former Seleksi Mandiri ITB (SM-ITB). Jalur Tes Daring is the test-based pathway where applicants sit for ITB's online Academic Qualification test.

What subjects are tested on the SSU ITB Jalur Tes?

Applicants to science and technology faculties (STEM) take Mathematics and Physics. Applicants to social science, management, and art/design programs take Mathematics. Candidates choosing Architecture or FSRD must also complete ITB's mandatory drawing assessment.

Can this practice question bank simulate the required drawing assessment?

No. This question bank provides independent English-language multiple-choice conceptual practice in Mathematics, Physics, and Visual/Spatial Design principles. It cannot simulate the physical drawing performance or portfolio required for FSRD and Architecture.

How is the SSU ITB examination administered?

The examination is administered as a secure, remotely proctored computer-based test through ITB's official examination platform. Specific device, camera, and network requirements are published in the participant examination card.

What is the registration fee for SSU ITB Jalur Tes?

The sitting fee is published on the official ITB SSU registration portal (portal.admission.itb.ac.id/ssu/) for the applicable intake and pathway. The reviewed public announcement does not state one fixed fee.