Applied Maths CSS past papers help you see how FPSC turns mechanics, differential equations and numerical methods into a timed competitive-exam paper. This page collects the original Applied Mathematics question papers from 2016 through 2026, with a free PDF for each year and one combined archive for offline study. Use them to understand the paper pattern, mark recurring topics and test whether this Group-II subject fits your preparation strengths.
Download Applied Mathematics CSS past papers
Use the combined file if you want the full archive in one place. For focused revision, download individual years and solve them under the same time limit used in the examination.
The files below are the same archive separated by year. Each link opens the corresponding Applied Mathematics question paper in PDF format.
Applied Mathematics CSS past papers by year
Start with the most recent paper to see the current style, then work backwards. Older papers remain useful because they show how FPSC has tested vector analysis, mechanics, differential equations, Fourier series and numerical methods over time.
What the Applied Mathematics paper tests
Each supplied paper is a three-hour, 100-mark question paper with eight numbered questions. The instructions require candidates to attempt only five questions, and all questions carry equal marks. The papers also state that the use of a calculator is allowed.
How to use Applied Mathematics CSS past papers
Do not begin by solving eleven papers without a plan. Use the archive in three passes.
First, classify the questions. Mark each question by mechanics, vector analysis, differential equations, Fourier series or numerical methods. This gives you a practical revision map and exposes topics that appear less often but carry real exam risk.
Next, practise the method. Solve similar questions together. For example, revise Newton–Raphson and regular falsi in the same session, then compare how the starting value and stopping rule affect your working.
Finally, work under time pressure. Attempt five questions in three hours, as the paper requires. Leave enough time to check units, signs, boundary conditions and the final numerical approximation.
Related CSS past-paper resources
Applied Mathematics sits within the wider optional-subject preparation system. These internal resources can help you compare papers and organise the rest of your preparation:
Frequently asked questions
Where can I download Applied Mathematics CSS past papers?
You can download the 2016–2026 Applied Mathematics CSS past papers from the year-by-year links on this page. A combined PDF is also provided for candidates who want the complete archive in one file.
How many marks is Applied Mathematics in CSS?
Each supplied Applied Mathematics paper is worth 100 marks and has a three-hour time limit. The paper contains eight numbered questions, of which candidates attempt five.
How many questions should I attempt?
The instructions in the supplied papers require candidates to attempt only five questions. All questions carry equal marks.
Is a calculator allowed in the Applied Mathematics paper?
Yes. The instructions printed on the supplied 2016–2026 papers state that the use of a calculator is allowed.
Are these Applied Mathematics papers solved?
No. These are original, unsolved question papers. Use them for topic mapping, timed practice and answer-writing review. Check solutions against a reliable teacher, textbook or verified preparation resource.
What topics appear in Applied Mathematics CSS papers?
The archive includes vector analysis, mechanics, differential equations, wave-equation modelling, Fourier series and numerical methods such as Euler, Taylor, Newton–Raphson and regular falsi methods.
Source and verification
The year-by-year PDFs and combined archive on this page were supplied for publication on CSS Bureau and checked for their printed FPSC examination title, subject name, marks, time limit and paper instructions. The topic summary above is based on the questions visible in the 2016–2026 papers. For current rules, syllabus changes and official notices, always confirm details through FPSC before making a final subject decision.