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100+ Free Pancyprian Core Math Practice Questions

Cyprus Pancyprian Access Examination Core Mathematics (ΜΑΘΗΜΑΤΙΚΑ ΚΟΙΝΟΥ ΚΟΡΜΟΥ, code 043) practice questions are available now; exam metadata is being verified.

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2026 Statistics

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 test your Pancyprian Core Math exam readiness. 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 Practice Questions

Verified exam format metadata for Cyprus Pancyprian Access Examination Core Mathematics (ΜΑΘΗΜΑΤΙΚΑ ΚΟΙΝΟΥ ΚΟΡΜΟΥ, code 043) is pending. The practice questions above remain available while official exam length, timing, passing score, fee, and administrator details are reviewed.