ECAT Mathematics Past Papers and Practice Questions

How to identify the paper, session and variant

ECAT practice papers are organised by the year of the test and the subject section.

ECAT is generally held once a year, so papers are grouped by year rather than by session.

Each file belongs to one section of the test. Use the section that matches the part you are revising.

Practise under test conditions

Set a timer for the section you are practising, answer in one sitting and avoid looking at notes. Record both your score and how long you took, since pace matters in a timed test.

Write every step of the working, because method marks are awarded even when the final answer is wrong.

Re-attempt any question you got wrong a few days later without looking at the solution, to confirm the method has stuck.

Aim for a steady pace per mark and flag a question you are stuck on, because the later parts of other questions may be quicker.

Checking your answers

No mark schemes have been added for Mathematics yet. Until they are, ask your teacher to check your work or look for the matching mark scheme on ECAT's website.

Look at where method marks and accuracy marks start and stop, and compare your layout with the accepted alternatives.

Typical slips are a sign error carried through several lines, a premature rounding, a skipped line of working and an unreadable layout.

Keep an error log and plan your revision

After each paper, write down every lost mark in a log. Record whether the mistake was a method error, an arithmetic slip, a misread question or a missing step, since each needs a different fix.

Then turn the log into a short weekly plan: choose two or three topics, revise them from your notes, and test them with fresh questions. Spread the papers you have across several weeks instead of attempting them all at once.

A good week alternates a timed paper with drills on one topic, re-working each lost question until the method feels routine.

Practise one topic until a set of questions feels routine, then return to mixed papers to practise choosing the right method.

Check the latest official notice

The syllabus, the test format and the marking rules for ECAT are set by the testing authority and can change from year to year, so check the latest official notice before relying on an old paper.

How do I find the correct ECAT Mathematics paper?

Check three things on the paper: the year and section. ECAT practice papers are organised by the year of the test and the subject section.

Is the ECAT Mathematics syllabus the same every year?

The syllabus, the test format and the marking rules for ECAT are set by the testing authority and can change from year to year, so check the latest official notice before relying on an old paper.

Where can I find the matching mark scheme?

No mark schemes have been added for this subject yet. Check ECAT's website or ask your teacher, and see the list above as new files are added.

Are all ECAT Mathematics past papers on this page?

No. This page lists only the files that have been added so far, and some sessions may be missing. For the full official list, use ECAT's own website.

Will questions from old ECAT papers appear again?

You should not count on it. Use old papers to learn the style and timing of the test and to find weak areas in Mathematics, then revise the whole syllabus.

Are these files endorsed by ECAT?

No. The papers are published by Engineering College Admission Test (Pakistan). Trinity Tutors is an independent tutoring service and is not endorsed by or affiliated with the board, and it cannot promise any particular grade or result.

Is it enough to get the final answer right in Mathematics?

Not always. Method marks are awarded for correct working even when the final answer is wrong, so show each step clearly.

Can a tutor help me with Mathematics?

You can browse a Mathematics tutor or contact us with the board, level and topics that cost you marks, and we will say honestly whether we have a suitable tutor.