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Free Practice Questions for Pancyprian Core Math

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Key Facts: Pancyprian Core Math Exam

043

Official subject code for ΜΑΘΗΜΑΤΙΚΑ ΚΟΙΝΟΥ ΚΟΡΜΟΥ in the 2026 Pancyprian Access Examinations

Cyprus Examinations Service

3 hours

Official examination duration from the 2026 timetable

Cyprus Examinations Service

EUR 25

2026 fee per access subject (not code 032)

Cyprus Examinations Service

0–20

Marking scale for each Pancyprian subject

Cyprus Examinations Service

8–26 June 2026

Examination period of the 2026 Pancyprian Access Examinations

Cyprus Examinations Service

100

Original practice questions in this study bank

OpenExamPrep

Free 100-question English-language MCQ study bank for Pancyprian Core Mathematics (code 043). Official duration: 3 hours (08:00–11:00 per the official 2026 timetable). Official fee: EUR 25.00 per access subject in 2026. This bank is a study aid, not an official translation or format simulation.

Sample Pancyprian Core Math Practice Questions

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

1Solve the equation 3x - 7 = 11 for x.
A.x = 6
B.x = 4/3
C.x = 9
D.x = -6
Explanation: Add 7 to both sides: 3x = 18. Dividing both sides by 3 gives x = 6. Substituting back, 3(6) - 7 = 18 - 7 = 11, which confirms the solution.
2Solve the equation x/4 + 2 = 5 for x.
A.x = 7
B.x = 20
C.x = 12
D.x = 28
Explanation: Subtract 2 from both sides to get x/4 = 3. Multiplying both sides by 4 gives x = 12. Check: 12/4 + 2 = 3 + 2 = 5.
3Factorise the expression x^2 - 9 completely.
A.(x - 9)(x + 1)
B.(x - 3)(x + 3)
C.(x - 3)^2
D.(x + 3)^2
Explanation: x^2 - 9 is a difference of two squares: x^2 - 3^2. The identity a^2 - b^2 = (a - b)(a + b) gives (x - 3)(x + 3). Expanding (x - 3)(x + 3) = x^2 - 9 confirms it.
4If 2^x = 32, what is the value of x?
A.x = 16
B.x = 4
C.x = 5
D.x = 6
Explanation: Since 32 = 2^5, the equation 2^x = 2^5 gives x = 5. Checking: 2^5 = 2 x 2 x 2 x 2 x 2 = 32.
5Simplify (x^3 . x^4) / x^2.
A.x^9
B.x^5
C.x^6
D.x^7
Explanation: Using the laws of indices, x^3 . x^4 = x^(3+4) = x^7. Dividing by x^2 gives x^(7-2) = x^5.
6Solve the quadratic equation x^2 - 5x + 6 = 0.
A.x = -2 and x = -3
B.x = 1 and x = 6
C.x = -1 and x = 6
D.x = 2 and x = 3
Explanation: Factorising: x^2 - 5x + 6 = (x - 2)(x - 3) = 0, so x = 2 or x = 3. Check with Vieta's relations: the roots sum to 5 and multiply to 6, matching the coefficients.
7Solve the equation 2x^2 - 8 = 0.
A.x = 2 only
B.x = 4 only
C.x = 2 and x = -2
D.x = 4 and x = -4
Explanation: Dividing by 2 gives x^2 = 4. A positive number has two square roots, so x = 2 or x = -2. Both satisfy 2x^2 - 8 = 0 since squaring removes the sign.
8Solve the inequality 2x - 5 < 7.
A.x < 6
B.x < 1
C.x > 6
D.x < -6
Explanation: Add 5 to both sides: 2x < 12. Dividing by the positive number 2 keeps the inequality direction, giving x < 6.
9Solve the equation |x - 3| = 5.
A.x = 8 only
B.x = 8 and x = -2
C.x = 2 and x = -8
D.x = -2 only
Explanation: An absolute value equation splits into two cases: x - 3 = 5 gives x = 8, and x - 3 = -5 gives x = -2. Both solutions are valid since absolute value measures distance from zero.
10Solve the simultaneous equations x + y = 10 and x - y = 4.
A.x = 3, y = 7
B.x = 6, y = 4
C.x = 7, y = 3
D.x = 14, y = -4
Explanation: Adding the two equations eliminates y: 2x = 14, so x = 7. Substituting into x + y = 10 gives y = 3. Check: 7 - 3 = 4, satisfying the second equation.

About the Pancyprian Core Math Exam

The Pancyprian Access Examination in Core Mathematics (code 043, ΜΑΘΗΜΑΤΙΚΑ ΚΟΙΝΟΥ ΚΟΡΜΟΥ) is a centrally set 2026 subject assessment administered by the Examinations Service of the Cyprus Ministry of Education, Sport and Youth for university admission ranking in Cyprus and Greece. A 3-hour written Core/Common Mathematics paper in Greek with problem-solving. English-language MCQ study adaptation with calculation items; not an official translation or format simulation.

Exam sponsor: Examinations Service, Cyprus Ministry of Education, Sport and Youth. The requirements and fees below concern the certification or admission exam, separate from our free practice resources.

Assessment

A 3-hour written Core/Common Mathematics paper in Greek with problem-solving. English-language MCQ study adaptation with calculation items; not an official translation or format simulation.

Time Limit

3 hours (08:00–11:00 per the official 2026 timetable)

Passing Score

Marked on a 0–20 scale; no pass mark — feeds the access/ranking grade (βαθμός πρόσβασης) for Cyprus and Greece public university allocation.

Exam / Certification Fees

EUR 25.00 per access subject for 2026 (EUR 50.00 only for Practical Physical Performance Test code 032), payable electronically by card during the official 2–17 April 2026 payment window per Examinations Service notices.

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.

22%

Algebra Equations Inequalities

Practice coverage of algebra equations inequalities mapped to the official Pancyprian syllabus for this subject.

18%

Functions And Graphs

Practice coverage of functions and graphs mapped to the official Pancyprian syllabus for this subject.

17%

Trigonometry

Practice coverage of trigonometry mapped to the official Pancyprian syllabus for this subject.

15%

Introductory Calculus

Practice coverage of introductory calculus mapped to the official Pancyprian syllabus for this subject.

12%

Statistics

Practice coverage of statistics mapped to the official Pancyprian syllabus for this subject.

10%

Probability

Practice coverage of probability mapped to the official Pancyprian syllabus for this subject.

6%

Sequences Financial Mathematics

Practice coverage of sequences financial mathematics mapped to the official Pancyprian syllabus for this subject.

Preparing for the Pancyprian Core Math Exam

What You Need to Know

  • Passing score: Marked on a 0–20 scale; no pass mark — feeds the access/ranking grade (βαθμός πρόσβασης) for Cyprus and Greece public university allocation.
  • Assessment: A 3-hour written Core/Common Mathematics paper in Greek with problem-solving. English-language MCQ study adaptation with calculation items; not an official translation or format simulation.
  • Time limit: 3 hours (08:00–11:00 per the official 2026 timetable)
  • Exam / certification fees: EUR 25.00 per access subject for 2026 (EUR 50.00 only for Practical Physical Performance Test code 032), payable electronically by card during the official 2–17 April 2026 payment window per Examinations Service notices. 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

Pancyprian Core Math: Suggested Study Strategy

1Read the official 2026 specification row for code 043 (ΜΑΘΗΜΑΤΙΚΑ ΚΟΙΝΟΥ ΚΟΡΜΟΥ) on the Examinations Service guide before drilling MCQs.
2After each wrong answer, rewrite the rule or concept in your own words with one new example.
3Schedule weekly timed practice with official past papers so you build the non-MCQ skills the real paper requires.
4Track weak categories from this bank and re-test them after 48 hours.
5Confirm logistics (centre, materials, language of response) from panexams.moec.gov.cy announcements, not from third-party summaries.

Frequently Asked Questions

Is this the official Pancyprian Core Mathematics exam?

No. The official assessment is administered by the Cyprus Examinations Service as a constructed-response, drawing, performance or mixed paper under code 043. This bank is a free English-language MCQ study adaptation for revision; practise every required non-MCQ component with official past papers and the specification.

How is the subject marked?

Like all Pancyprian access subjects it is marked on a 0–20 scale. There is no pass mark; the grade contributes to the access/ranking grade used for admission to public universities in Cyprus and Greece.

What is the 2026 exam fee?

EUR 25.00 per access subject (EUR 50.00 only for Practical Physical Performance Test code 032), payable by card in the official 2–17 April 2026 window, with exemptions for specified groups.

Who can sit this examination?

Final-year student or graduate of a Cyprus public secondary school (lyceum cycle), the English School Nicosia, a licensed private school, or an equivalent foreign upper-secondary school (with certification), within Examinations Service nationality/residence rules. Applications are electronic; un-promoted final-year students with 135+ absences are excluded.

Why is the practice bank in English?

OpenExamPrep publishes one English-language practice URL per exam. Where the tested skill is another language, stems/options may retain that language while explanations stay in English. The bank is not an official translation of the Greek (or other) exam environment.

How should I use this bank with official materials?

Use the bank to diagnose weak syllabus areas, then switch to Θέματα - Λύσεις and the official specification on panexams.moec.gov.cy for timed written, drawing or performance practice that this bank does not simulate.