Maths: CKE papers, Lower secondary exam

All official CKE exam papers in maths at the “Lower secondary exam” level. The catalogue has 8 papers from 2012–2019, from main and additional sittings. Every paper has an answer key (the CKE marking scheme). You can download the PDF files for free, with no account. The papers themselves are in Polish.

In short

Sprelli offers 8 CKE papers in maths (Lower secondary exam, 2012–2019) with answer keys, to download as PDFs with no sign-up. Closed questions from these papers can also be solved online in the Sprelli knowledge base, with explanations.

List of papers (8)

Files open in a new tab. Source: arkusze.pl (a mirror of CKE papers).

Frequently asked questions

CKE papers in maths

Yes. You can download all 8 CKE papers in maths (Lower secondary exam, 2012–2019) as PDFs with no sign-up and no fees. CKE exam papers are official material.
Yes. Next to every paper there is a link to the official CKE marking scheme with the correct answers and the points.
Start with the newest (2019), because they reflect the current exam format. Earlier years are useful for practising more tasks on a given topic.
Yes. In the Sprelli knowledge base you will find closed questions in maths taken from CKE papers, with checking of the answers and an explanation. They are available in the educational games without logging in and in quizzes after you create a free account.

Need help with maths?

Book online tutoring. A tutor will go through the hard tasks from the papers with you step by step, on a shared whiteboard in your browser.

CKE exam papers are official material within the meaning of Article 4 of the Polish Copyright Act.