Group II papers

Optional · Group II · 100 marks

CSS Applied Mathematics Past Papers

Mechanics, differential equations, vector analysis and numerical methods. Problem-solving papers where method matters as much as the answer.

15 papers, 2009 to 2023

CSS 2025 mean score

29.0/100

That is the average mark real candidates scored on this paper in CSS 2025, against a 40 percent pass requirement. Our full analysis breaks down the pass rate, score spread and provincial split for Applied Mathematics.

Read the CSS 2025 Applied Mathematics results analysis

Download Applied Mathematics papers by year

Every paper is the original FPSC PDF. Sign in to read it in your browser or save it.

202320222021202020192018201720162015201420132012201120102009

Years not listed were not available at the time of publishing.

How to use these papers

  1. 1

    Work backwards from the latest paper. Question styles and mark splits shift slowly, so the most recent years are the best guide to what you will face.

  2. 2

    Tally topics across years before you study. A theme that appears in a majority of papers is worth preparing to full length; one that appeared once is not.

  3. 3

    Attempt a few under timed conditions. Optional papers are long, and running out of time is a more common failure than not knowing the material.

Other Group II subjects

Chemistry21Geology21Physics15Pure Mathematics15Statistics21

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