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100+ Free EJU Mathematics Course 1 Practice Questions

Pass your Examination for Japanese University Admission for International Students (EJU) Mathematics Course 1 exam on the first try — instant access, no signup required.

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2026 Statistics

Key Facts: EJU Mathematics Course 1 Exam

100

Local Practice Questions

Open Exam Prep

80 min

Official Mathematics Time

JASSO

0-200

Mathematics Score Range

JASSO

Topics 1-7

Course 1 Scope

JASSO 2026 Mathematics Syllabus

JPY 12,000

Japan One-Subject Fee

JASSO 2026 Guidelines

JASSO

Administrator

JASSO

JASSO's EJU Mathematics subject is 80 minutes and scored on a 0-200 common scale. Course 1 is selected by examinees applying to liberal arts programs or science programs requiring comparatively less mathematics. This local bank provides 100 original practice questions aligned to the 2026 Course 1 scope, with explanations and distractor feedback.

Sample EJU Mathematics Course 1 Practice Questions

Try these sample questions to test your EJU Mathematics Course 1 exam readiness. Each question includes a detailed explanation. Start the interactive quiz above for the full 100+ question experience with AI tutoring.

1Factor x^2 + 5x + 6.
A.(x + 1)(x + 6)
B.(x + 2)(x + 3)
C.(x - 2)(x - 3)
D.(x + 5)(x + 1)
Explanation: To factor x^2 + 5x + 6, find two numbers whose product is 6 and whose sum is 5. The numbers 2 and 3 work, so the factorization is (x + 2)(x + 3).
2Simplify sqrt(12) - sqrt(3).
A.sqrt(3)
B.2sqrt(3)
C.3sqrt(3)
D.9
Explanation: Since sqrt(12) = sqrt(4 x 3) = 2sqrt(3), the expression becomes 2sqrt(3) - sqrt(3). That leaves one sqrt(3).
3Solve 3x - 7 = 11.
A.4
B.5
C.6
D.18
Explanation: Add 7 to both sides to get 3x = 18. Dividing by 3 gives x = 6.
4Solve |x - 2| < 3.
A.x < -1 or x > 5
B.-5 < x < 1
C.-3 < x < 3
D.-1 < x < 5
Explanation: The inequality |x - 2| < 3 means x is less than 3 units away from 2. Write it as -3 < x - 2 < 3, then add 2 to all parts to get -1 < x < 5.
5Let A = {1, 2, 3, 4} and B = {3, 4, 5}. What is A intersection B?
A.{1, 2, 5}
B.{3, 4}
C.{1, 2, 3, 4, 5}
D.{5}
Explanation: The intersection contains elements that are in both sets. The only elements common to A and B are 3 and 4.
6Which statement is the contrapositive of: If n is a multiple of 4, then n is even?
A.If n is even, then n is a multiple of 4.
B.If n is not a multiple of 4, then n is not even.
C.If n is not even, then n is not a multiple of 4.
D.If n is odd, then n is a multiple of 4.
Explanation: The contrapositive of if P then Q is if not Q then not P. Here P is n is a multiple of 4 and Q is n is even, so the contrapositive is: if n is not even, then n is not a multiple of 4.
7What is the vertex of y = (x - 3)^2 + 2?
A.(3, 2)
B.(-3, 2)
C.(2, 3)
D.(3, -2)
Explanation: A quadratic in vertex form y = (x - h)^2 + k has vertex (h, k). Here h = 3 and k = 2, so the vertex is (3, 2).
8Find the minimum value of y = x^2 - 4x + 1.
A.-4
B.-3
C.1
D.2
Explanation: Complete the square: x^2 - 4x + 1 = (x - 2)^2 - 3. Since (x - 2)^2 is always at least 0, the minimum value is -3.
9Solve x^2 - 5x + 6 = 0.
A.-2 and -3
B.1 and 6
C.-1 and -6
D.2 and 3
Explanation: Factor the quadratic as (x - 2)(x - 3) = 0. Therefore x = 2 or x = 3.
10Solve x^2 - 9 < 0.
A.x < -3 or x > 3
B.x > 3
C.-3 < x < 3
D.x = -3 or x = 3
Explanation: Factor x^2 - 9 as (x - 3)(x + 3). The upward-opening parabola is below 0 between its roots, so -3 < x < 3.

About the EJU Mathematics Course 1 Exam

EJU Mathematics Course 1 is the mathematics option for liberal arts faculties and science faculties where comparatively less mathematics is required. The 2026 Course 1 syllabus covers topics 1 through 7: numbers and expressions, sets and propositions, quadratic functions, figures and measurements, counting and probability, integer properties, and figure properties.

Assessment

100 local practice questions; official EJU Mathematics is an 80-minute multiple-choice subject scored 0-200.

Time Limit

80 minutes

Passing Score

No universal passing score; Mathematics is reported on a 0-200 common scale and universities set their own requirements.

Exam Fee

Japan 2026: JPY 12,000 for one subject; JPY 23,000 for two or three subjects; overseas fees vary by country or region. (Japan Student Services Organization (JASSO))

EJU Mathematics Course 1 Exam Content Outline

Course 1 topic 1

Numbers and Expressions

Polynomial operations, factorization, real numbers, square roots, and absolute-value equations or inequalities.

Course 1 topic 2

Sets and Propositions

Sets, propositions, conditions, implications, converse statements, inverse statements, and contrapositives.

Course 1 topic 3

Quadratic Functions

Quadratic graphs, maximum and minimum values, determining formulas, quadratic equations, and quadratic inequalities.

Course 1 topic 4

Figures and Measurements

Trigonometric ratios, relationships among sine, cosine, and tangent, and measurement of plane and solid figures.

Course 1 topic 5

Number of Possible Outcomes and Probability

Counting principles, permutations, combinations, probability properties, independent trials, binomial probability, conditional probability, and expected value.

Course 1 topic 6

Properties of Integers

Multiples, divisors, prime factorization, gcd, lcm, division of integers, Euclidean algorithm, linear Diophantine equations, and base notation.

Course 1 topic 7

Properties of Figures

Triangle ratios and centers, Ceva's theorem, Menelaus' theorem, circle properties, power of a point, relative positions of circles, lines and planes, and polyhedra.

How to Pass the EJU Mathematics Course 1 Exam

What You Need to Know

  • Passing score: No universal passing score; Mathematics is reported on a 0-200 common scale and universities set their own requirements.
  • Assessment: 100 local practice questions; official EJU Mathematics is an 80-minute multiple-choice subject scored 0-200.
  • Time limit: 80 minutes
  • Exam fee: Japan 2026: JPY 12,000 for one subject; JPY 23,000 for two or three subjects; overseas fees vary by country or region.

Keys to Passing

  • Complete 500+ practice questions
  • Score 80%+ consistently before scheduling
  • Focus on highest-weighted sections
  • Use our AI tutor for tough concepts

EJU Mathematics Course 1 Study Tips from Top Performers

1Master factorization, square-root simplification, and absolute-value inequalities before moving into quadratic graph questions.
2For quadratics, practice switching between factored form, vertex form, and standard form because EJU-style items often test the connection among graph, roots, and formula.
3Use organized counting methods for permutations, combinations, and conditional probability; most errors come from counting ordered cases as unordered or forgetting restrictions.
4Review integer tools together: divisibility tests, prime factorization, gcd/lcm, Euclidean algorithm, Diophantine equations, and base notation reinforce one another.
5For geometry, memorize the right-triangle ratios and then practice applying them in measurement, circle, and triangle-ratio settings.

Frequently Asked Questions

What is EJU Mathematics Course 1?

JASSO describes Course 1 as the Mathematics course for undergraduate faculties and departments where basic mathematical knowledge is needed. The 2026 EJU guidelines also describe it as the option for liberal arts programs or science programs requiring comparatively less mathematics.

What topics are on EJU Mathematics Course 1 in 2026?

The 2026 JASSO Mathematics syllabus says Course 1 covers only topics 1 through 7: Numbers and expressions, Sets and propositions, Quadratic functions, Figures and measurements, Number of possible outcomes and probability, Properties of integers, and Properties of figures.

How long is the EJU Mathematics test?

JASSO lists Mathematics as an 80-minute subject test. In Japan, the schedule page lists the Mathematics examination block as 15:40 to 17:10 when booklet and answer-sheet distribution time is included.

What score do I need to pass EJU Mathematics Course 1?

There is no universal pass score for EJU Mathematics. JASSO reports Mathematics on a 0-200 common scale, and each university or department sets its own score expectations and subject requirements.

How is Course 1 different from Course 2?

JASSO's 2026 syllabus states that Course 1 covers only topics 1 through 7, while Course 2 covers topics 1 through 20. Course 2 is intended for departments requiring more advanced mathematics.

How much does EJU cost in Japan in 2026?

For EJU administered in Japan, JASSO lists JPY 12,000 for one subject and JPY 23,000 for two or three subjects, including tax. Overseas examination fees vary by country or region.