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Key Facts: SIMAK UI KKI Exam

150 min

Total Examination Duration

SIMAK UI Official Guidelines

80

Total Questions (20 per Section)

SIMAK UI 2026 Test Notice

+4 / -1 / 0

Scoring Scheme (Correct / Wrong / Blank)

Kantor Penerimaan Mahasiswa Baru UI

Rp 1.800.000

Registration Fee

SIMAK UI S1 KKI Guidelines

English

Medium of Examination

UI International Program Office

SIMAK UI KKI is Universitas Indonesia's entrance examination for International Undergraduate Programs (S1 KKI). Delivered entirely in English through a secure proctored computer platform, the test consists of 80 questions across Basic Mathematics, English, Quantitative, and Logic over 150 minutes with +4/-1 scoring. The 2026 registration fee is Rp 1.800.000.

Sample SIMAK UI KKI Practice Questions

Try these sample questions to review concepts for the SIMAK UI KKI 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 roots of the quadratic equation 3x^2 - 9x + 2 = 0, what is the value of (x_1)^2 + (x_2)^2?
A.23/3
B.25/3
C.7
D.29/3
Explanation: From Vieta's formulas, the sum of the roots is x_1 + x_2 = -(-9)/3 = 3, and the product of the roots is x_1 * x_2 = 2/3. Using the algebraic expansion of the sum of squares, (x_1)^2 + (x_2)^2 = (x_1 + x_2)^2 - 2(x_1 * x_2) = 3^2 - 2(2/3) = 9 - 4/3 = 23/3.
2For what values of the real parameter k does the quadratic equation x^2 - (k + 2)x + (k + 5) = 0 have two distinct real roots?
A.-4 < k < 4
B.k < -4 or k > 4
C.k <= -4 or k >= 4
D.k > 4
Explanation: A quadratic equation has two distinct real roots if and only if its discriminant D is strictly positive. Here, D = [-(k + 2)]^2 - 4(1)(k + 5) = k^2 + 4k + 4 - 4k - 20 = k^2 - 16. Setting k^2 - 16 > 0 yields (k - 4)(k + 4) > 0, which gives k < -4 or k > 4.
3What is the complete solution set for the inequality (3x - 2) / (x - 4) <= 2?
A.-6 <= x < 4
B.-6 <= x <= 4
C.x <= -6 or x > 4
D.-6 < x < 4
Explanation: Subtracting 2 from both sides gives (3x - 2)/(x - 4) - 2 <= 0, which simplifies to (3x - 2 - 2(x - 4))/(x - 4) = (x + 6)/(x - 4) <= 0. The critical values are x = -6 (where numerator is zero) and x = 4 (vertical asymptote). Testing sign intervals shows the expression is negative or zero on [-6, 4), and since x cannot equal 4 due to division by zero, the solution set is -6 <= x < 4.
4What is the solution set of the absolute value inequality |2x - 7| < 5?
A.x < 1 or x > 6
B.1 <= x <= 6
C.1 < x < 6
D.-1 < x < 6
Explanation: The inequality |2x - 7| < 5 is equivalent to the compound inequality -5 < 2x - 7 < 5. Adding 7 to all parts gives 2 < 2x < 12, and dividing by 2 yields 1 < x < 6.
5Given the function f(x) = (2x + 3) / (x - 5) for all real x != 5, what is the formula for the inverse function f^(-1)(x)?
A.(5x + 3) / (x - 2)
B.(5x - 3) / (x + 2)
C.(2x - 5) / (x + 3)
D.(x - 5) / (2x + 3)
Explanation: Setting y = (2x + 3)/(x - 5) and clearing denominators gives y(x - 5) = 2x + 3, or xy - 5y = 2x + 3. Rearranging terms in x yields xy - 2x = 5y + 3, so x(y - 2) = 5y + 3, giving x = (5y + 3)/(y - 2). Swapping variables yields f^(-1)(x) = (5x + 3)/(x - 2).
6What is the natural domain of the real-valued function g(x) = sqrt(9 - x^2) / (x - 1)?
A.[-3, 3]
B.[-3, 1) U (1, 3]
C.(-3, 1) U (1, 3)
D.[1, 3]
Explanation: For g(x) to be real-valued, the expression under the radical must be non-negative: 9 - x^2 >= 0, which gives -3 <= x <= 3. Furthermore, the denominator cannot be zero: x - 1 != 0, so x != 1. Combining both conditions removes x = 1 from [-3, 3], yielding [-3, 1) U (1, 3].
7If 4^(x + 1) - 10 * 2^x + 4 = 0, what is the sum of all real solutions for x?
A.0
B.1
C.-1
D.2
Explanation: Rewrite 4^(x + 1) as 4 * (2^x)^2. Letting u = 2^x (with u > 0) transforms the equation into 4u^2 - 10u + 4 = 0, or 2u^2 - 5u + 2 = 0. Factoring gives (2u - 1)(u - 2) = 0, so u = 1/2 or u = 2. Returning to x: 2^x = 1/2 gives x = -1, and 2^x = 2 gives x = 1. The sum of the solutions is (-1) + 1 = 0.
8Find the solution set of the exponential inequality (1/3)^(x^2 - 2x) >= (1/27)^(x - 2).
A.x <= 2 or x >= 3
B.2 <= x <= 3
C.-3 <= x <= -2
D.x < 2 or x > 3
Explanation: Express both sides with base 1/3: (1/27)^(x - 2) = ((1/3)^3)^(x - 2) = (1/3)^(3x - 6). Because the base 1/3 lies strictly between 0 and 1, the inequality direction reverses when comparing exponents: x^2 - 2x <= 3x - 6. Rearranging yields x^2 - 5x + 6 <= 0, which factors to (x - 2)(x - 3) <= 0, giving the solution 2 <= x <= 3.
9If log_3(a) = p and log_3(b) = q, what is the expression for log_a(sqrt(b) / 27) in terms of p and q?
A.(q - 6) / (2p)
B.(2q - 3) / p
C.(q - 3) / (2p)
D.(q - 6) / p
Explanation: Using the change-of-base formula to base 3: log_a(sqrt(b)/27) = log_3(sqrt(b)/27) / log_3(a). The numerator expands as log_3(b^(1/2)) - log_3(27) = (1/2)log_3(b) - 3 = (1/2)q - 3 = (q - 6)/2. Dividing by log_3(a) = p produces (q - 6)/(2p).
10Find the product of all real values of x satisfying (log_2(x))^2 - log_2(x^4) - 5 = 0.
A.8
B.16
C.32
D.64
Explanation: For x > 0, log_2(x^4) = 4 * log_2(x). Let u = log_2(x); then u^2 - 4u - 5 = 0. By Vieta's formulas, the sum of the roots in u is u_1 + u_2 = 4. Since u = log_2(x), we have log_2(x_1) + log_2(x_2) = 4, which means log_2(x_1 * x_2) = 4. Exponentiating gives x_1 * x_2 = 2^4 = 16.

About the SIMAK UI KKI Exam

SIMAK UI KKI (Seleksi Masuk Universitas Indonesia — Kelas Khusus Internasional) is Universitas Indonesia's independent entrance examination for prospective international undergraduate (S1 KKI) students. The 2026 assessment evaluates Basic Mathematics, English, Quantitative, and Logic entirely in English.

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 in English: Basic Mathematics, English, Quantitative, and Logic (+4 correct, -1 wrong, 0 blank); 80 questions in 150 minutes

Time Limit

150 menit (2,5 jam)

Passing Score

Program-specific competitive threshold determined by UI faculty admissions quotas

Exam / Certification Fees

Rp 1.800.000

Exam sponsor website

Reported exam pass rate: Not published; competitive selection depends on program capacity. UI does not publish a universal passing score or acceptance percentage; selection is strictly quota- and rank-based. 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.

20 questions / 55 minutes (25% of bank)

Basic Mathematics

Algebra, functions, quadratic equations, exponents and logarithms, sequences and series, coordinate geometry, and calculus.

20 questions / 30 minutes (25% of bank)

English

Academic reading comprehension, grammar structure, written expression, clause logic, and contextual vocabulary.

20 questions / 30 minutes (25% of bank)

Quantitative

Arithmetic problem solving, percentage word problems, ratios, and quantitative data analysis.

20 questions / 35 minutes (25% of bank)

Logic

Deductive reasoning, syllogisms, seating arrangements, conditional logic, and analytical problem solving.

Preparing for the SIMAK UI KKI Exam

What You Need to Know

  • Passing score: Program-specific competitive threshold determined by UI faculty admissions quotas
  • Assessment: Secure remotely proctored computer test in English: Basic Mathematics, English, Quantitative, and Logic (+4 correct, -1 wrong, 0 blank); 80 questions in 150 minutes
  • Time limit: 150 menit (2,5 jam)
  • Exam / certification fees: Rp 1.800.000 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 KKI: Suggested Study Strategy

1Master high-yield algebra and calculus: focus on quick evaluation of polynomial roots, logarithmic properties, composite functions, and critical points using first and second derivatives.
2Train strictly to section time limits: Basic Mathematics grants 2.75 minutes per question, while English and Quantitative offer only 1.5 minutes per question and Logic gives 1.75 minutes.
3Read academic passages with structural intent: identify topic sentences, author tone, main arguments, and context-dependent vocabulary rather than memorizing minor details.
4Use matrix/table grids for logic arrangements: for seating, ranking, and condition-matching questions, sketch quick 2D elimination tables to prevent cognitive overload.
5Avoid indiscriminate guessing: because incorrect answers incur a -1 penalty against the +4 correct score, leave questions blank if you cannot confidently eliminate distractors.

Frequently Asked Questions

What is SIMAK UI KKI and how does it differ from regular SIMAK UI?

SIMAK UI KKI is the admissions examination specifically for Universitas Indonesia's International Undergraduate Programs (Kelas Khusus Internasional). Unlike the regular Sarjana/Vokasi paper, the KKI test is administered entirely in English with a dedicated 4-section structure: Basic Mathematics (20 q / 55 min), English (20 q / 30 min), Quantitative (20 q / 30 min), and Logic (20 q / 35 min).

What is the format, question count, and duration of the SIMAK UI KKI exam?

The SIMAK UI KKI examination comprises 80 multiple-choice questions administered online via UI's secure remotely proctored testing browser. Total exam time is 150 minutes (2.5 hours). Scoring follows UI's standard formula: +4 for correct answers, -1 for incorrect answers, and 0 for unanswered questions.

How much is the registration fee for SIMAK UI KKI in 2026?

The official 2026 registration fee for SIMAK UI S1 KKI is Rp 1.800.000, payable via UI's designated banking channels upon completing the online registration form.

What English proficiency certificates are accepted for S1 KKI admission?

Applicants are required to upload valid certified English proficiency test results meeting their chosen faculty's minimum cutoff, typically institutional TOEFL (ITP), TOEFL iBT, or IELTS Academic certificates issued within the validity timeframe.

Is there a negative marking penalty on the SIMAK UI KKI exam?

Yes. Each incorrect answer deducts 1 point (-1), while each correct answer awards 4 points (+4). Blank or omitted answers receive 0 points. Strategic guessing is therefore discouraged unless candidates can eliminate at least two plausible options.