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Key Facts: Kuwait University Mathematics Aptitude Test Exam

20 MCQs

Official question count on the Kuwait University Mathematics Aptitude Test.

Kuwait University CEM Academic Aptitude Tests instruction sheet

60 minutes

Official time allowed for the Mathematics Aptitude Test.

Kuwait University CEM Academic Aptitude Tests instruction sheet

No calculator

Calculators are not permitted in the Mathematics test.

CEM Student Guide to the Academic Aptitude Test 2025-2026

50%

Official CEM passing score for the Mathematics Aptitude Test.

CEM Student Guide to the Academic Aptitude Test 2025-2026

20%

Weight of the Mathematics result in the equivalent GPA for Engineering and Petroleum.

Required Academic Aptitude Tests for KU Colleges 2025/2026

Official test: 20 MCQs in 60 minutes with no calculator permitted, offered in English or Arabic by CEM Kuwait University for a 10 KWD fee with a 50% passing score. Independent practice by OpenExamPrep for the Kuwait University Mathematics Academic Aptitude Test features 100 questions covering real numbers and polynomials, inequalities and absolute values, functions, and applied word problems on areas, volumes, ratio, proportion, percentages and simple interest.

Sample Kuwait University Mathematics Aptitude Test Practice Questions

Try these sample questions to review concepts for the Kuwait University Mathematics Aptitude Test 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 numerical expression (2^4 * 3^2) / (6^2)?

A.2

B.4

C.8

D.12

Explanation: Express the denominator with prime factors as 6^2 = (2 * 3)^2 = 2^2 * 3^2. The expression becomes (2^4 * 3^2) / (2^2 * 3^2). Canceling 3^2 and subtracting exponents for base 2 gives 2^(4 - 2) = 2^2 = 4.

2Which of the following represents the simplified form of sqrt(72) - sqrt(18)?

A.3*sqrt(2)

B.sqrt(54)

C.9*sqrt(2)

D.6

Explanation: Factor each radicand into perfect square multiples: sqrt(72) = sqrt(36 * 2) = 6*sqrt(2) and sqrt(18) = sqrt(9 * 2) = 3*sqrt(2). Subtracting like radical terms yields 6*sqrt(2) - 3*sqrt(2) = 3*sqrt(2).

3Which of the following is the complete factorization of the binomial x^2 - 16y^2?

A.(x - 4y)^2

B.(x - 8y)(x + 8y)

C.(x - 16y)(x + y)

D.(x - 4y)(x + 4y)

Explanation: The expression x^2 - 16y^2 is a difference of two squares of the form a^2 - b^2 = (a - b)(a + b). Here a = x and b = 4y because (4y)^2 = 16y^2. Factoring directly produces (x - 4y)(x + 4y).

4Simplify the algebraic expression (x^3 * y^(-2))^2 / (x^(-1) * y^3) assuming x != 0 and y != 0.

A.x^5 / y^7

B.x^7 / y^5

C.x^7 / y^7

D.x^5 / y

Explanation: Apply the power of a power rule to the numerator: (x^3 * y^(-2))^2 = x^(3*2) * y^(-2*2) = x^6 * y^(-4). Dividing by x^(-1) * y^3 gives x^(6 - (-1)) * y^(-4 - 3) = x^7 * y^(-7). Rewriting with positive exponents gives x^7 / y^7.

5Which of the following is equivalent to the rational expression (x^2 - 9) / (2x + 6) for x != -3?

A.(x + 3) / 2

B.(x - 3) / 2

C.(x - 3) / (x + 2)

D.x - 3

Explanation: Factor the numerator as a difference of squares: x^2 - 9 = (x - 3)(x + 3). Factor out the greatest common factor of 2 from the denominator: 2x + 6 = 2(x + 3). Canceling the common non-zero factor (x + 3) leaves (x - 3) / 2.

6What is the simplest form of 6 / sqrt(3) with a rationalized denominator?

A.2

B.3*sqrt(3)

C.6*sqrt(3)

D.2*sqrt(3)

Explanation: Multiply both numerator and denominator by sqrt(3): (6 * sqrt(3)) / (sqrt(3) * sqrt(3)) = 6*sqrt(3) / 3. Dividing the integer coefficient 6 by 3 gives 2*sqrt(3).

7Which of the following is the complete factored form of the quadratic trinomial x^2 - 5x - 24?

A.(x - 6)(x + 4)

B.(x - 8)(x + 3)

C.(x + 8)(x - 3)

D.(x - 12)(x + 2)

Explanation: Find two integers whose product equals -24 and whose sum equals -5. The integers -8 and +3 satisfy both conditions because (-8)(3) = -24 and -8 + 3 = -5. Therefore, the trinomial factors as (x - 8)(x + 3).

8What is the exact numerical value of 27^(2/3) + 16^(3/4)?

A.18

B.25

C.35

D.17

Explanation: Evaluate each rational power separately: 27^(2/3) = (27^(1/3))^2 = 3^2 = 9. For the second term, 16^(3/4) = (16^(1/4))^3 = 2^3 = 8. Adding the results gives 9 + 8 = 17.

9Simplify the radical expression sqrt(50x^3) + x*sqrt(18x) for all real x > 0.

A.8x*sqrt(2x)

B.15x^2*sqrt(2x)

C.8x^2*sqrt(2x)

D.4x*sqrt(2x)

Explanation: Simplify each radical term: sqrt(50x^3) = sqrt(25 * x^2 * 2x) = 5x*sqrt(2x). For the second term, x*sqrt(18x) = x*sqrt(9 * 2x) = x * 3*sqrt(2x) = 3x*sqrt(2x). Combining like radical terms yields 5x*sqrt(2x) + 3x*sqrt(2x) = 8x*sqrt(2x).

10Which of the following is the complete factorization over the real numbers of 2x^3 - 18x?

A.2x(x - 3)^2

B.2(x^2 - 9)

C.2x(x - 3)(x + 3)

D.x(2x - 6)(x + 3)

Explanation: First factor out the greatest common monomial factor 2x: 2x(x^2 - 9). Next, factor the binomial x^2 - 9 as a difference of squares: (x - 3)(x + 3). The complete factored form is 2x(x - 3)(x + 3).

About the Kuwait University Mathematics Aptitude Test Exam

The Kuwait University Mathematics Academic Aptitude Test is administered by the Center for Evaluation and Measurement (CEM) and is one of the tests whose result feeds the equivalent grade-point average used for admission, carrying 20% for Engineering and Petroleum and 10% to 15% for Medicine, Dentistry, Pharmacy and other competitive colleges. The official test is 20 multiple-choice questions in 60 minutes with no calculator. The CEM topic list covers real numbers, polynomials, inequalities, absolute values, functions (domain, operations and composition), applications to areas, volumes, weights and unit changes, applications to ratio, proportion, percentages and simple interest, and multi-step problem-solving strategies; it does not include coordinate geometry or calculus. Independent practice by OpenExamPrep for the Kuwait University Mathematics Academic Aptitude Test provides 100 practice questions with step-by-step worked solutions.

Exam sponsor: Center for Evaluation and Measurement (CEM), Kuwait University. The requirements and fees below concern the certification or admission exam, separate from our free practice resources.

Assessment

The Kuwait University Mathematics Academic Aptitude Test consists of 20 multiple-choice questions administered in 60 minutes, and the official instruction sheet states explicitly that no calculator is permitted. Candidates choose between an English and an Arabic version at registration. The published CEM topic list covers real numbers, polynomials, inequalities, absolute values, functions, Applications (1) on areas, volumes and weights, Applications (2) on ratio, proportion and percentages, and problem-solving strategies. Independent practice by OpenExamPrep for the Kuwait University Mathematics Academic Aptitude Test provides 100 practice questions across those areas.

Time Limit

60 minutes

Passing Score

50%

Exam / Certification Fees

10 KWD per test

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.

25%

Real Numbers and Polynomials

Fractions and their properties, integer and rational exponents, laws of exponents, radicals and rationalising denominators, polynomials and their degree, factor formulas, rational expressions in reduced form, and solving linear and quadratic equations.

26%

Inequalities, Absolute Values and Equations

Properties of inequalities, linear, quadratic and rational inequalities, absolute-value equations and inequalities, systems of linear equations, radical and rational equations, and the discriminant.

15%

Functions

The definition of a function and its domain, operations on functions (sum, difference, product and quotient) together with the domains of the results, and composition of functions with the domain of the composite.

34%

Applications and Problem Solving

Applications (1): areas of triangles, rectangles, circles and composite shapes, volumes within word problems, weights, and changing units inside the metric system. Applications (2): ratio and proportion including inverse proportion, percentages, and simple interest. Plus multi-step problem-solving strategies using only simple arithmetic.

Preparing for the Kuwait University Mathematics Aptitude Test Exam

What You Need to Know

Passing score: 50%
Assessment: The Kuwait University Mathematics Academic Aptitude Test consists of 20 multiple-choice questions administered in 60 minutes, and the official instruction sheet states explicitly that no calculator is permitted. Candidates choose between an English and an Arabic version at registration. The published CEM topic list covers real numbers, polynomials, inequalities, absolute values, functions, Applications (1) on areas, volumes and weights, Applications (2) on ratio, proportion and percentages, and problem-solving strategies. Independent practice by OpenExamPrep for the Kuwait University Mathematics Academic Aptitude Test provides 100 practice questions across those areas.
Time limit: 60 minutes
Exam / certification fees: 10 KWD per test Official sources

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Kuwait University Mathematics Aptitude Test: Suggested Study Strategy

1Practise non-calculator arithmetic and mental maths: rapid multiplication, fraction simplification and the laws of exponents all save time in a 60-minute paper where calculators are banned.

2Master the factor formulas the official outline names: difference of two squares, sum and difference of two cubes, and the expansions of (x + a)^2 and (x + a)^3, then use them to reduce rational expressions quickly.

3Drill inequalities and absolute values together: remember that multiplying or dividing an inequality by a negative number reverses the sign, and that |u| < c becomes a double inequality while |u| > c splits into two rays.

4Learn the narrow official meaning of 'functions' on this test: the definition and domain, the domain of a sum, difference, product or quotient, and the domain of a composite. Coordinate geometry such as slopes, circles and graph transformations is not on the CEM topic list.

5Rehearse the applications the outline spells out: areas of composite shapes, volumes inside word problems, weights, metric unit changes, direct and inverse proportion, percentages, and simple interest calculated as capital x rate x time.

Frequently Asked Questions

What is the format and duration of the Kuwait University Mathematics Aptitude Test?

The official exam consists of 20 multiple-choice questions to be completed within 60 minutes. Calculators and electronic devices are strictly prohibited during the examination.

Can I use a calculator during the Kuwait University Mathematics Aptitude Test?

No, calculators of any kind are strictly forbidden. All calculation problems are designed with manageable integers, clean fractions, and easily factorable terms solvable through mental arithmetic and scratch paper.

What is the passing score and how does it affect university admission?

The CEM Student Guide sets the passing score for the Mathematics test at 50%, which is 10 of the 20 official questions. The score is then combined with the high school percentage to compute the equivalent grade-point average, weighted at 20% for Engineering and Petroleum, 15% for Pharmacy, Public Health, Architecture, Life Sciences and Business Administration, and 10% for Medicine, Dentistry and Allied Health Sciences.

In what languages is the test administered?

The test is offered in both Arabic and English. Students select their preferred language of testing when registering on the CEM portal.

What is the registration fee for the examination?

The registration fee is 10 KWD per test attempt, payable online via K-Net through the Kuwait University Center for Evaluation and Measurement (CEM) portal.