Free Practice Questions for ASE CSIE Mathematics Admission

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Sample ASE CSIE Mathematics Admission Practice Questions

Try these sample questions to review concepts for the ASE CSIE Mathematics Admission exam. Each question includes a detailed explanation. Start the interactive quiz above for the full 62+ question experience with AI tutoring.

1What is the value of the determinant D = | 1 2 | / | 3 4 |?

A.-2

B.2

C.10

D.-10

Explanation: The determinant of a 2x2 matrix | a b | / | c d | is ad - bc. Here, D = (1)(4) - (2)(3) = 4 - 6 = -2.

2For what real value of parameter m is the matrix A = [[1, 2], [3, m]] non-invertible (singular)?

A.m = 6

B.m = 5

C.m = 0

D.m = -6

Explanation: A square matrix is singular exactly when its determinant is zero. Here det(A) = m − 6, so m = 6 makes the rows dependent and prevents an inverse.

3What is the limit L = lim (n -> infinity) (3n^2 + 5n - 1) / (2n^2 - 4n + 7)?

A.3/2

B.infinity

C.0

D.5/2

Explanation: Divide numerator and denominator by n². All terms containing 1/n or 1/n² tend to zero, leaving the ratio of leading coefficients, 3/2.

4What is the first derivative of the function f(x) = x^3 - 4x^2 + 5x - 7 evaluated at x = 2?

A.1

B.0

C.-1

D.5

Explanation: The derivative is f'(x) = 3x^2 - 8x + 5. Evaluating at x = 2 gives f'(2) = 3(2^2) - 8(2) + 5 = 12 - 16 + 5 = 1.

5What is the value of the definite integral I = integral from 0 to 2 of (3x^2 - 2x + 1) dx?

A.6

B.4

C.8

D.10

Explanation: An antiderivative is F(x) = x^3 - x^2 + x. Evaluating from 0 to 2: F(2) - F(0) = (2^3 - 2^2 + 2) - 0 = 8 - 4 + 2 = 6.

6What is the sum of the first 20 terms of the arithmetic progression (an) whose first term is a1 = 3 and common difference is d = 4?

A.820

B.780

C.860

D.410

Explanation: The sum formula is Sn = n/2 * [2*a1 + (n - 1)*d]. For n = 20: S20 = 20/2 * [2(3) + 19(4)] = 10 * [6 + 76] = 10 * 82 = 820.

7What is the sum of the infinite geometric series S = 4 + 2 + 1 + 1/2 + 1/4 + ...?

A.8

B.6

C.16

D.4

Explanation: This is a convergent geometric series with first term a = 4 and common ratio r = 1/2 (|r| < 1). The sum is S = a / (1 - r) = 4 / (1 - 1/2) = 4 / (0.5) = 8.

8How many distinct arrangements of all eleven letters of 'CIBERNETICA' have the two Cs adjacent but the two Is not adjacent? The letters C, I and E each occur twice.

A.725,760

B.907,200

C.181,440

D.4,989,600

Explanation: Treat CC as one block: the ten objects include repeated Is and Es, giving 10!/(2!*2!) = 907,200 arrangements. Subtract those with II also a block: nine objects with only E repeated give 9!/2! = 181,440, leaving 725,760 arrangements.

9A five-person committee is selected from six women and four men. It must contain at least two women and at least two men. How many different committees are possible?

A.252

B.180

C.120

D.60

Explanation: The permitted compositions are two women and three men, or three women and two men. These disjoint cases contribute C(6,2)C(4,3) = 60 and C(6,3)C(4,2) = 120. Adding them gives 180 committees; order within a committee does not matter.

10If A is a 3x3 real matrix with det(A) = 5, what is the value of det(2A)?

A.40

B.10

C.30

D.25

Explanation: For an n x n matrix, det(c*A) = c^n * det(A). Here, n = 3 and c = 2, so det(2A) = 2^3 * det(A) = 8 * 5 = 40.

About the ASE CSIE Mathematics Admission Exam

Independent practice for the ASE București Facultatea de Cibernetică, Statistică și Informatică Economică (CSIE) undergraduate written Mathematics admission examination. The official assessment is a 2.5-hour test containing 10 five-option single-correct mathematics questions. This bank is an independent English-language MCQ study adaptation featuring four options per question.

Exam sponsor: Academia de Studii Economice din București (ASE) — Facultatea CSIE. The requirements and fees below concern the certification or admission exam, separate from our free practice resources.

Questions

10 questions

Time Limit

150 minutes (2.5 hours)

Passing Score

Minimum composite admission mean 5.00/10; competitive ranking

Exam / Certification Fees

200 lei for first two options (+ 50 lei per additional option)

Exam sponsor website

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

Official sources

ASE Bucharest Admission Regulation 2026 · Source checked 2026-10-09Senate decision governing 2026 undergraduate admission, CSIE composite formula, fees, and written examination procedures.
ASE CSIE Mathematics Examination Syllabus (Tematica examen) · Source checked 2026-10-09Official algebra and analysis topics. It does not list groups, rings, eigenvalues or Taylor expansions, and does not assign a 50/50 topic split.

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.

No official topic percentage published

Algebra and Discrete Mathematics

Functions, sequences, quadratic equations, combinatorial counting, matrices, determinants and linear systems.

No official topic percentage published

Mathematical Analysis (Calculus)

Limits of sequences, continuity, differentiability, asymptotes, monotonicity, and definite/indefinite integrals.

Preparing for the ASE CSIE Mathematics Admission Exam

What You Need to Know

Passing score: Minimum composite admission mean 5.00/10; competitive ranking
Exam length: 10 questions
Time limit: 150 minutes (2.5 hours)
Exam / certification fees: 200 lei for first two options (+ 50 lei per additional option) Official sources

Using Our Practice Resources

Work through all 62 available questions
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Frequently Asked Questions

What is the official format of the ASE CSIE mathematics test?

The official test consists of 10 multiple-choice questions (each with 5 options) taken over 150 minutes (2.5 hours).

How is the admission grade calculated for ASE CSIE?

The CSIE mean is 50% Mathematics grade plus 50% MGA. MGA itself is 70% Bacalaureat mean plus 30% secondary-school mean; the overall admission mean must be at least 5.00 and selection remains competitive.