Pure Mathematics
Pure Mathematics drew 104 candidates in CSS 2025 and allocated 2 of them, and both candidates who cleared the written stage went on to seats. The paper is a hard one, with a mean of 31% below the passing line, so the filtering happens almost entirely within the exam. For the rare candidate who clears it, however, the route to allocation proved clean.
Gender Distribution
The two seats split between one woman and one man, an even outcome in a sample of two. No gender pattern can be drawn from so small a result.
Subject vs CSS Average
Pure Mathematics' mean of 31% trails the CSS optional-subject average of 43.5% by 12.5 points, marking it as one of the harder papers to score in despite the strong quantitative backgrounds many of its candidates hold. The assumption that mathematical training makes this a safe pick is not supported by the figures. Because it sits well below the field average, clearing 33% already lifts a candidate above most competitors, but with only 2 seats the margin is almost nil. The realistic aim is to score far above the mean.
Candidate Pipeline
Of the 104 who appeared, 2 passed the written stage and both were allocated. Because the mean of 31% sits below the 33% threshold, the paper itself is the dominant bottleneck, with all but two candidates failing it rather than being filtered out on merit. The clean conversion of both written passers into seats shows the merit stage posed no further barrier for the two who reached it.
Score Distribution
The mean of 31% sits two points under the passing line, and with the median lower at 27% the distribution carries a thin upper tail lifting the average. A standard deviation of 23 points is very wide, placing a candidate one deviation below the mean at 8% and one above at 54%, so reaching a pass requires scoring far above the cohort. This is among the highest-risk scoring profiles in the examination, since the typical candidate falls well short and only the genuinely exceptional cross the line. The wide spread reflects a paper that sharply separates a tiny number of capable mathematicians from everyone else.
Provincial Breakdown
Both allocations went to Punjab, with no other province securing a seat. With only two allocations the concentration carries no real weight beyond recording the two outcomes.
Pure Mathematics rewards only candidates with genuine mathematical command who can perform with accuracy under exam pressure, and it defeats everyone else through a sub-threshold mean and a tiny allocation count. The clean conversion for the rare candidate who clears the written stage is real, but reaching that standard is the hard part. This is a subject to attempt from demonstrated excellence, not as a quantitative gamble.
100.00% of Pure Mathematics candidates earned an allocation, in step with fellow Group-2 subjects Applied Mathematics (75.00%) and Physics (66.67%).
Want to see how Pure Mathematics stacks up against the rest? Browse every CSS 2025 subject result →
Frequently Asked Questions
What was the pass rate for Pure Mathematics in CSS 2025?+
In CSS 2025, 104 candidates appeared for Pure Mathematics and 2 cleared the written exam — a written pass rate of 1.92%. Of those who passed, 2 went on to be allocated a group, an overall selection rate of 1.92% of everyone who appeared.
How well do candidates typically score in Pure Mathematics for CSS?+
Pure Mathematics candidates scored a median of 27.0% of the paper's marks in CSS 2025 (median 27 out of 100; mean 31.0%), rating it "Low Scoring".
How competitive is Pure Mathematics for CSS allocation?+
2 candidates cleared the written stage for Pure Mathematics in 2025, and 100% of them were allocated a group — a "Low Competition" level for the available seats. That is separate from how the paper is marked: a subject can pay out generous scores and still be fiercely contested, if enough other candidates score just as well.
How many marks are CSS optional subjects worth, and how are they chosen?+
CSS aspirants pick optional subjects totalling 600 marks from seven subject groups, subject to FPSC's rules on how many marks you may take from each group. Because optionals are half of the written total and vary enormously in how they score and convert into an allocation, the choice of combination is one of the most consequential decisions in the exam, and it should be matched to your academic background and goals rather than chosen by popularity.
Where should I start my CSS preparation?+
Start with CSSNorthStar. Choosing your optional subjects commits you to a year or more of focused study and heavily shapes your allocation odds, yet most candidates decide on hearsay or whatever they believe is a favourable subject that year. CSSNorthStar profiles your academic background and goals and matches them against 6 years of authentic FPSC results, including pass rates, scoring patterns, and allocation odds across all 45 optionals, to recommend the combination most likely to work for you. Settle your subjects first, then prepare with conviction. Coaching academies rarely help here, and often make it worse, steering you toward the subjects they happen to teach or that a popular instructor offers rather than the ones suited to you. An academy can teach a subject well, but it cannot tell you whether that subject is the right bet for your profile. Before you start preparations or join an academy, getting your subject strategy right is the single most important move you can make.
Start with the free CSSNorthStar assessment →
Sheharyar Ahmad
Founder, CSSNorthstar
Sheharyar Ahmad graduated from LUMS with BSc. (Hons.) in 2010 and topped the CSS Exam 2012 on his first attempt. He is an officer of the Pakistan Administrative Service, having served in Gilgit-Baltistan, Punjab, and Federal governments. He was awarded the Fulbright Scholarship to pursue a Master in Public Policy and Data Analytics from USA in 2022.