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Exam Review

Key Facts: SIMAK UI Exam

180 min

Exam Duration

SIMAK UI Official Guidelines

2

Major Test Components (Kemampuan Dasar + Skolastik)

Kantor Penerimaan Mahasiswa Baru UI

Rp 650K

Base Registration Fee (2 Choices)

SK Rektor UI No. 112/SK/R/UI/2026

Up to 6

Maximum Study Program Choices

SIMAK UI Admission Rules

130

Official 2026 Question Count

SIMAK UI 2026 Test Notice

SIMAK UI is Universitas Indonesia's independent entrance examination for undergraduate and vocational programs. The published 2026 test has 130 questions across Kemampuan Dasar and Skolastik and takes 180 minutes; the base registration fee is Rp 650.000. The official assessment is principally in Indonesian with a Bahasa Inggris subtest. This independent bank uses English framing while retaining Indonesian where that language is the skill being tested; it is not an official translation or format simulation.

Sample SIMAK UI Practice Questions

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

1If x_1 and x_2 are the real roots of the quadratic equation 2x^2 - 6x + 1 = 0, what is the value of (x_1)^2 + (x_2)^2?
A.8
B.7
C.9
D.6
Explanation: From Vieta's formulas, the sum of roots is x_1 + x_2 = -(-6)/2 = 3, and the product of roots is x_1 * x_2 = 1/2. Expanding the sum of squares yields (x_1)^2 + (x_2)^2 = (x_1 + x_2)^2 - 2(x_1 * x_2) = 3^2 - 2(1/2) = 9 - 1 = 8.
2What is the solution set for the inequality (2x - 5) / (x + 3) <= 1?
A.x < -3 or x >= 8
B.-3 < x <= 8
C.-3 <= x <= 8
D.x <= -3 or x > 8
Explanation: Subtracting 1 from both sides gives (2x - 5)/(x + 3) - (x + 3)/(x + 3) <= 0, which simplifies to (x - 8)/(x + 3) <= 0. The critical values are x = -3 and x = 8; testing intervals reveals the ratio is negative between -3 and 8. Because x = -3 is a vertical asymptote in the denominator, x cannot equal -3, yielding -3 < x <= 8.
3If log_2(x - 1) + log_2(x + 2) = 2, what is the real value of x?
A.3
B.-3
C.2
D.4
Explanation: Using the logarithmic product identity, log_2((x - 1)(x + 2)) = 2 implies (x - 1)(x + 2) = 2^2 = 4. Expanding gives x^2 + x - 2 = 4, or x^2 + x - 6 = 0, which factors into (x + 3)(x - 2) = 0. Because logarithmic arguments must be strictly positive, x - 1 > 0 requires x > 1, rejecting x = -3 and leaving x = 2.
4Matrix A is defined as [[k, 3], [2, k - 1]]. For what positive value of k is matrix A singular (non-invertible)?
A.-2
B.1
C.2
D.3
Explanation: A square matrix is singular if and only if its determinant is zero: det(A) = k(k - 1) - (3)(2) = k^2 - k - 6 = 0. Factoring yields (k - 3)(k + 2) = 0, which has solutions k = 3 and k = -2. The problem specifies a positive value, so k = 3 is the unique valid answer.
5In an arithmetic progression, the 4th term is 17 and the 10th term is 41. What is the sum of the first 20 terms?
A.860
B.820
C.840
D.880
Explanation: Let the first term be a and common difference be d. Then a + 3d = 17 and a + 9d = 41. Subtracting the equations gives 6d = 24, so d = 4, which yields a = 17 - 3(4) = 5. The sum of the first 20 terms is S_20 = (20/2) * [2a + (20 - 1)d] = 10 * [2(5) + 19(4)] = 10 * [10 + 76] = 10 * 86 = 860.
6An infinite geometric series has a first term of 12 and a common ratio of r = -1/3. What is the sum to infinity of this series?
A.18
B.9
C.16
D.8
Explanation: The sum to infinity of a convergent geometric series with |r| < 1 is given by S_infinity = a / (1 - r). Substituting a = 12 and r = -1/3 yields S_infinity = 12 / (1 - (-1/3)) = 12 / (4/3) = 12 * (3/4) = 9.
7What is the slope of the tangent line to the curve y = 2x^3 - 5x^2 + 4 at the point where x = 2?
A.2
B.6
C.4
D.8
Explanation: The slope of the tangent line is given by the first derivative dy/dx = d/dx(2x^3 - 5x^2 + 4) = 6x^2 - 10x. Evaluating this derivative at x = 2 gives dy/dx|_(x=2) = 6(2)^2 - 10(2) = 24 - 20 = 4.
8What is the radius of the circle defined by the equation x^2 + y^2 - 6x + 8y - 11 = 0?
A.5
B.4
C.7
D.6
Explanation: Completing the square gives (x^2 - 6x + 9) + (y^2 + 8y + 16) = 11 + 9 + 16, which simplifies to (x - 3)^2 + (y + 4)^2 = 36. Since the standard equation of a circle is (x - h)^2 + (y - k)^2 = r^2, the radius is r = sqrt(36) = 6.
9What is the value of the definite integral definite_integral from 1 to 3 of (3x^2 - 4x + 2) dx?
A.14
B.12
C.16
D.10
Explanation: The antiderivative of 3x^2 - 4x + 2 is F(x) = x^3 - 2x^2 + 2x. Evaluating F(3) gives 3^3 - 2(3^2) + 2(3) = 27 - 18 + 6 = 15. Evaluating F(1) gives 1^3 - 2(1^2) + 2(1) = 1 - 2 + 2 = 1. The definite integral is F(3) - F(1) = 15 - 1 = 14.
10What is the solution set for the inequality |3x - 4| < 5?
A.-3 < x < 1/3
B.-1/3 < x < 3
C.x < -1/3 or x > 3
D.-3 < x < 3
Explanation: The inequality |3x - 4| < 5 expands to the double inequality -5 < 3x - 4 < 5. Adding 4 to all parts yields -1 < 3x < 9. Dividing through by 3 gives -1/3 < x < 3.

About the SIMAK UI Exam

SIMAK UI (Seleksi Masuk Universitas Indonesia) is Universitas Indonesia's independent entrance examination for prospective undergraduate (Sarjana / S1) and vocational (Vokasi / D3 and D4) students. The 2026 assessment has Kemampuan Dasar (Matematika Dasar, Bahasa Indonesia, Bahasa Inggris) and Skolastik (Verbal, Kuantitatif, Logika).

Exam sponsor: Universitas Indonesia (UI). The requirements and fees below concern the certification or admission exam, separate from our free practice resources.

Assessment

Secure, remotely proctored computer test: Kemampuan Dasar (Matematika Dasar, Bahasa Indonesia, Bahasa Inggris) and Skolastik (Verbal, Kuantitatif, Logika); +4 correct, -1 wrong, 0 blank

Time Limit

180 menit (3 jam)

Passing Score

Program-specific competitive threshold determined by UI faculty admissions quotas

Exam / Certification Fees

Rp 650.000 (for 2 study program choices, +Rp 100.000 per additional choice up to 6 choices)

Exam sponsor website

Reported exam pass rate: Not published; competitive selection depends on program capacity. UI does not publish one fixed passing score or a general 2026 pass rate for this route. 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.

15 questions / 20 minutes (20% of bank)

Kemampuan Dasar — Matematika Dasar

Quadratic equations, inequalities, logarithms, matrices, arithmetic and geometric sequences, basic calculus, and coordinate geometry.

15 questions / 20 minutes (15% of bank)

Kemampuan Dasar — Bahasa Indonesia

Standard Indonesian syntax, PUEBI spelling, effective sentence structure, discourse cohesion, and paragraph main ideas.

15 questions / 20 minutes (15% of bank)

Kemampuan Dasar — Bahasa Inggris

Academic reading comprehension, sentence structure, clause logic, and context vocabulary.

25 questions / 15 minutes (15% of bank)

Skolastik — Verbal

Verbal analogies, semantic relations, critical reading logic, and deductive verbal reasoning.

35 questions / 50 minutes (20% of bank)

Skolastik — Kuantitatif

Numerical sequences, arithmetic problem solving, percentage word problems, algebraic equations, and quantitative data comparison.

25 questions / 40 minutes (15% of bank)

Skolastik — Logika

Conditional reasoning, seating arrangements, deductive syllogisms, grouping constraints, and spatial logic.

Preparing for the SIMAK UI Exam

What You Need to Know

  • Passing score: Program-specific competitive threshold determined by UI faculty admissions quotas
  • Assessment: Secure, remotely proctored computer test: Kemampuan Dasar (Matematika Dasar, Bahasa Indonesia, Bahasa Inggris) and Skolastik (Verbal, Kuantitatif, Logika); +4 correct, -1 wrong, 0 blank
  • Time limit: 180 menit (3 jam)
  • Exam / certification fees: Rp 650.000 (for 2 study program choices, +Rp 100.000 per additional choice up to 6 choices) 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

SIMAK UI: Suggested Study Strategy

1Strengthen algebra and calculus foundations: focus on rapid manipulation of quadratic forms, logarithmic rules, and derivative applications in Matematika Dasar.
2Master grammatical and structural mechanics: practice identifying sentence fragments, run-ons, faulty parallelism, and discourse connectors across both Indonesian and English sections.
3Diagram analytical logic puzzles immediately: use small tables or linear placement lines on scratch paper to organize positional constraints and conditional rules quickly.
4Practice to the official subtest clocks: the six 2026 sections run for 20, 20, 20, 15, 50, and 40 minutes, and late candidates cannot recover elapsed section time.
5Review quantitative comparison strategies: evaluate expressions by factoring or testing boundary values rather than executing full tedious arithmetic calculations.

Frequently Asked Questions

What is SIMAK UI and who is eligible to register?

SIMAK UI (Seleksi Masuk Universitas Indonesia) is UI's institutional entrance exam for prospective undergraduate and vocational students. Applicants must meet the current education and program-specific requirements in UI's enrollment portal.

What subjects are tested on the SIMAK UI Sarjana & Vokasi examination?

The 2026 examination evaluates Kemampuan Dasar (Matematika Dasar, Bahasa Indonesia, and Bahasa Inggris) and Skolastik (Verbal, Kuantitatif, and Logika).

How much is the registration fee for SIMAK UI?

In accordance with SK Rektor UI No. 112/SK/R/UI/2026, the registration fee is Rp 650.000 for up to two study program choices across Sarjana and Vokasi. Candidates may select additional choices up to a maximum of six programs for an extra Rp 100.000 per program.

How long is the SIMAK UI exam and how is it administered?

The 2026 SIMAK UI Sarjana and Vokasi examination has 130 questions and a total testing duration of 180 minutes (3 hours). It uses a secure exam application and camera proctoring.

Can I apply to both Sarjana (S1) and Vokasi (D3/D4) programs in a single SIMAK UI application?

Yes, applicants can select study programs across both Sarjana and Vokasi tracks within the same registration account, subject to the choice fee tiers up to a maximum of six total choices.