Matematyka — Poziom Podstawowy for the Matura Exam

Common failure modes

These are the patterns that cause most candidates to lose marks on this topic. Recognising them in advance is half the work.

• !Quadratic equation errors — not checking discriminant sign before solving
• !Trigonometry errors: confusing sin/cos/tan for standard angles (30°, 45°, 60°)
• !Not showing working — Matura partial marks require written solution steps

Study tips

• 1Practise the standard Matura Mathematics task types from past CKE papers.
• 2Memorize the values of sin, cos, tan for 0°, 30°, 45°, 60°, 90°.
• 3For geometry, always draw a diagram and label all known values before solving.

Sample Matura Matematyka — Poziom Podstawowy questions

These sample items mirror the format and difficulty of real Matura questions. Practice with thousands more on the free Koydo question bank.

1. 1

   Wyznacz pierwiastki równania: 2x² − 8 = 0. (Find the roots of: 2x² − 8 = 0.)

   • Ax = ±2Correct
   • Bx = 4
   • Cx = ±4
   • Dx = 2
   Why this answer?

   2x² − 8 = 0 → 2x² = 8 → x² = 4 → x = ±√4 = ±2. Both positive and negative roots must be given.

2. 2

   Wartość sin 30° wynosi: (The value of sin 30° is:)

   • A1
   • B√3/2
   • C1/2Correct
   • D√2/2
   Why this answer?

   sin 30° = 1/2. This is one of the standard trigonometric values that must be memorized for Matura: sin 30° = 1/2, sin 45° = √2/2, sin 60° = √3/2, sin 90° = 1.