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Key Facts: Polstat STIS Exam

40

Multiple-choice items on the Seleksi Lanjutan I mathematics CBT

Pengumuman PMB Politeknik Statistika STIS 2026/2027

5

Answer choices per item on the official mathematics test

Pengumuman PMB Politeknik Statistika STIS 2026/2027

+5 / -1 / 0

Scoring for correct, wrong, and blank answers

Pengumuman PMB Politeknik Statistika STIS 2026/2027

65

Minimum mathematics score for Reguler/Umum and Pembibitan (55 for Afirmasi)

Pengumuman PMB Politeknik Statistika STIS 2026/2027

Polstat STIS selection eliminates at every stage. Its academic hurdle after the SKD is Seleksi Lanjutan I: 40 mathematics CBT items with five answer choices, scored +5/-1/0, with a minimum of 65 (55 for Afirmasi Kewilayahan). OpenExamPrep offers independent English-language, four-option practice on those math topics.

Sample Polstat STIS Practice Questions

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

1Evaluate the limit: lim (x -> 2) [ (x^3 - 8) / (x^2 + x - 6) ]
A.0
B.12
C.8/5
D.12/5
Explanation: Direct substitution gives 0/0, so factor both expressions. The numerator is a difference of cubes, x^3 - 8 = (x - 2)(x^2 + 2x + 4), and the denominator is (x - 2)(x + 3). Cancelling (x - 2) leaves (x^2 + 2x + 4) / (x + 3), which at x = 2 equals 12/5.
2Determine the limit: lim (x -> 0) [ (1 - cos(4x)) / (x * sin(2x)) ]
A.2
B.4
C.8
D.1
Explanation: Use the identity 1 - cos(2θ) = 2 sin^2(θ) with θ = 2x, so 1 - cos(4x) = 2 sin^2(2x). The limit becomes 2 sin^2(2x) / (x sin(2x)) = 2 sin(2x) / x. Since sin(2x)/x approaches 2 as x approaches 0, the limit is 2 × 2 = 4.
3Find the limit: lim (x -> infinity) [ sqrt(4x^2 + 12x - 5) - (2x + 1) ]
A.2
B.3
C.1
D.4
Explanation: Multiply by the conjugate: the numerator becomes (4x^2 + 12x - 5) - (4x^2 + 4x + 1) = 8x - 6, and the denominator is sqrt(4x^2 + 12x - 5) + 2x + 1. Dividing top and bottom by x gives (8 - 6/x) / (sqrt(4 + 12/x - 5/x^2) + 2 + 1/x), which approaches 8 / (2 + 2) = 2.
4If f(x) = (2x + 3) / (x - 1) for x != 1, what is the value of f'(2)?
A.5
B.2
C.-5
D.1
Explanation: By the quotient rule, f'(x) = [2(x - 1) - (2x + 3)(1)] / (x - 1)^2 = (2x - 2 - 2x - 3) / (x - 1)^2 = -5 / (x - 1)^2. At x = 2 this equals -5 / 1 = -5.
5Find the equation of the tangent line to the curve y = x^3 - 3x^2 + 2 at the point where x = 1.
A.y = -3x - 3
B.y = 3x - 3
C.y = -3x + 3
D.y = -6x + 6
Explanation: At x = 1, y = 1 - 3 + 2 = 0, so the point is (1, 0). The derivative y' = 3x^2 - 6x gives slope y'(1) = -3. The tangent line is y - 0 = -3(x - 1), or y = -3x + 3.
6A firm's total revenue is R(q) = 76q - 4q^2 and its total cost is C(q) = q^3 - 10q^2 + 40q + 50. At what production level q > 0 is marginal profit equal to zero?
A.q = 6
B.q = 4
C.q = 5
D.q = 8
Explanation: Profit is P(q) = R(q) - C(q) = -q^3 + 6q^2 + 36q - 50, so marginal profit is P'(q) = -3q^2 + 12q + 36 = -3(q^2 - 4q - 12) = -3(q - 6)(q + 2). Setting P'(q) = 0 gives q = 6 or q = -2, and only q = 6 is a valid production level.
7What is the maximum value of f(x) = 2x^3 - 9x^2 + 12x + 5 on the closed interval [0, 3]?
A.10
B.9
C.5
D.14
Explanation: f'(x) = 6x^2 - 18x + 12 = 6(x - 1)(x - 2), so the critical points are x = 1 and x = 2. Evaluating at the critical points and endpoints gives f(0) = 5, f(1) = 10, f(2) = 9, and f(3) = 14. The maximum on [0, 3] is 14, at the endpoint x = 3.
8Evaluate the definite integral: integral from 0 to 2 of (3x^2 - 4x + 1) dx
A.0
B.2
C.4
D.-2
Explanation: An antiderivative is F(x) = x^3 - 2x^2 + x. Then F(2) = 8 - 8 + 2 = 2 and F(0) = 0, so the integral equals 2.
9Evaluate the definite integral: integral from 0 to 1 of [ x * sqrt(1 - x^2) ] dx
A.2/3
B.1/2
C.1/3
D.1/6
Explanation: Let u = 1 - x^2, so du = -2x dx and x dx = -du/2. The limits x = 0 and x = 1 become u = 1 and u = 0. The integral becomes (1/2) × integral from 0 to 1 of u^(1/2) du = (1/2) × (2/3) = 1/3.
10Find the area of the region enclosed by the parabola y = 4 - x^2 and the line y = x + 2.
A.9/2
B.3/2
C.10/3
D.7/6
Explanation: The curves meet where 4 - x^2 = x + 2, so x^2 + x - 2 = (x + 2)(x - 1) = 0, giving x = -2 and x = 1. On that interval the parabola lies above the line, so the area is the integral from -2 to 1 of (2 - x - x^2) dx. The antiderivative 2x - x^2/2 - x^3/3 equals 7/6 at x = 1 and -10/3 at x = -2, so the area is 7/6 + 10/3 = 9/2.

About the Polstat STIS Exam

Politeknik Statistika STIS is the statistics polytechnic of Badan Pusat Statistik (BPS). After the national SKD, candidates sit a separate, eliminating 40-item mathematics test before the psychotest, interview, and health and fitness stages. This bank is an English-language MCQ study adaptation of that mathematics content, not an official translation or test simulation.

Exam sponsor: Politeknik Statistika STIS and Badan Pusat Statistik (BPS), with the SKD on BKN CAT. The requirements and fees below concern the certification or admission exam, separate from our free practice resources.

Assessment

Eliminating stages: Seleksi Administrasi -> SKD CAT BKN (top 3x the need per track, region, and program advance) -> Seleksi Lanjutan I Matematika (40 items; minimum 65 Reguler/Pembibitan or 55 Afirmasi; top 2x the need advance) -> Seleksi Lanjutan II online psychotest and interview (code 1 or 2 required; top 1.2x the need advance) -> Seleksi Lanjutan III health and fitness (running and shuttle run; code 1 or 2 required).

Time Limit

Mathematics test duration not stated in the 2026 announcement; SKD is 100 minutes

Passing Score

Mathematics test minimum 65 (Reguler/Umum and Pembibitan) or 55 (Afirmasi Kewilayahan), followed by ranking. SKD thresholds: TKP 156, TIU 80, TWK 65; Afirmasi Kewilayahan needs a cumulative 281 with TIU 55 (KepmenPAN-RB No. 406 Tahun 2026).

Exam / Certification Fees

Rp300,000 (includes the SKD CAT BKN fee)

Exam sponsor website

Reported exam pass rate: Not published. 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.

25 of 100 practice questions

Calculus & Limits

Limits, derivatives, optimization, tangent and normal lines, definite integrals, area, and volume.

25 of 100 practice questions

Algebra & Functions

Quadratic roots and discriminants, polynomial remainder and factor theorems, exponents, logarithms, inequalities, and functions.

20 of 100 practice questions

Probability, Combinatorics & Statistics

Permutations and combinations, conditional probability and Bayes' theorem, mean, variance, quartiles, and distributions.

15 of 100 practice questions

Trigonometry & Vectors

Compound and double-angle identities, trigonometric equations, the law of cosines, dot and cross products, and projections.

15 of 100 practice questions

Coordinate Geometry, Matrices & Sequences

Lines and circles, determinants and inverses, and arithmetic and geometric sequences and series.

Preparing for the Polstat STIS Exam

What You Need to Know

  • Passing score: Mathematics test minimum 65 (Reguler/Umum and Pembibitan) or 55 (Afirmasi Kewilayahan), followed by ranking. SKD thresholds: TKP 156, TIU 80, TWK 65; Afirmasi Kewilayahan needs a cumulative 281 with TIU 55 (KepmenPAN-RB No. 406 Tahun 2026).
  • Assessment: Eliminating stages: Seleksi Administrasi -> SKD CAT BKN (top 3x the need per track, region, and program advance) -> Seleksi Lanjutan I Matematika (40 items; minimum 65 Reguler/Pembibitan or 55 Afirmasi; top 2x the need advance) -> Seleksi Lanjutan II online psychotest and interview (code 1 or 2 required; top 1.2x the need advance) -> Seleksi Lanjutan III health and fitness (running and shuttle run; code 1 or 2 required).
  • Time limit: Mathematics test duration not stated in the 2026 announcement; SKD is 100 minutes
  • Exam / certification fees: Rp300,000 (includes the SKD CAT BKN fee) 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

Polstat STIS: Suggested Study Strategy

1Know the scoring: with +5 for a correct answer and -1 for a wrong one on five-choice items, skip only when you cannot rule out any option, and answer once you can eliminate one or more choices.
2Rehearse the core techniques behind many items: factoring for limits, the quotient and chain rules, substitution in integrals, and Vieta's formulas for quadratics.
3Write out cases explicitly in combinatorics and conditional probability, because miscounting overlapping cases is the most common source of wrong answers.
4Check domain conditions after solving logarithmic, radical, and rational equations or inequalities, since extraneous roots are frequent distractors.

Frequently Asked Questions

How is the STIS mathematics test scored?

The 2026 announcement sets +5 points for a correct answer, -1 for a wrong answer, and 0 for a blank, across 40 multiple-choice items with five answer choices, so the maximum is 200.

What is the minimum score on the STIS mathematics test?

The threshold is 65 for the Reguler/Umum and Pembibitan tracks and 55 for Afirmasi Kewilayahan. Candidates who meet it are then ranked, and up to twice the need per track, region, and program advance to the psychotest and interview.

Is the STIS mathematics test part of the SKD?

No. The SKD (TWK, TIU, and TKP on BKN CAT) comes first. Mathematics is the separate Seleksi Lanjutan I stage for candidates who pass and rank within the SKD cut.

Who can register for PMB Polstat STIS 2026/2027?

SMA/MA/SMK/MAK graduates in any major aged 16 to 22 on 1 September 2026, with Mathematics and English of at least 80.00 on the ijazah (70.00 for Afirmasi Kewilayahan), who are unmarried and not colour blind.

Is this bank an official STIS practice test?

No. It is independent practice by OpenExamPrep: English-language, four-option multiple-choice questions for studying the mathematics topics. It is not an official translation and does not simulate the five-choice, negatively marked test.