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Mathematics for BSF Head Constable (RO/RM)

BSF Head Constable (RO/RM) sets 20 Mathematics questions for 40 marks in the Computer Based Test (CBT), so it is worth planning your preparation around the topics below.

20 questions40 marks4 topics

How to approach Mathematics in BSF Head Constable (RO/RM)

The quantitative core of the railway papers: arithmetic, mensuration, and time-speed-distance built on a secondary-school foundation. Fluency with fractions, percentages and ratios underlies almost every question, so that is where practice pays back fastest.

Weightage in the paper

How much Mathematics is worth in each BSF Head Constable (RO/RM) stage, from the official pattern.

Stage	Questions	Marks	Time	Share
Computer Based Test (CBT)	20	40	—	20%

Mathematics syllabus for BSF Head Constable (RO/RM)

Every topic in the official syllabus. The linked ones open a set of solved questions you can practise straight away.

Algebra, trigonometry and coordinate geometry
Calculus basics and differentiation
Statistics and probability at Intermediate level
Mensuration and arithmetic applications

Sample Mathematics questions with solutions

Written to the BSF Head Constable (RO/RM) pattern, with the answer key and the method behind it — a look at how the section is actually set before you drill the full topic sets.

Quadratic equations · solved example

If x² − 5x + 6 = 0, what is the sum of the roots?

5Correct
6
Minus five
Minus six

Solution

For ax² + bx + c = 0, sum of roots = −b/a. Here −(−5)/1 = 5. The roots are 2 and 3, which also sum to 5.

Trigonometry · solved example

What is the value of sin 90°?

0
1Correct
1/2
√3/2

Solution

sin 90° = 1. This is a standard trigonometric value from the unit circle.

Coordinate geometry · solved example

Find the distance between the points (0, 0) and (3, 4).

5Correct
7
25
1

Solution

Distance = √((3−0)² + (4−0)²) = √(9+16) = √25 = 5.

Arithmetic progression · solved example

Find the 10th term of the AP: 3, 7, 11, 15, …

39Correct
43
35
47

Solution

First term a = 3, common difference d = 4. The 10th term a₁₀ = a + (10−1)d = 3 + 9×4 = 3 + 36 = 39.

Sit Mathematics under a real clock

Mathematics shows up in every BSF Head Constable (RO/RM) mock test, in the same interface, with sectional locking and negative marking.

BSF Head Constable (RO/RM): 16-question practice mock
16 questions | 24 min
Start

Frequently asked questions

How many Mathematics questions are asked in BSF Head Constable (RO/RM)?

BSF Head Constable (RO/RM) 2025 cycle sets 20 Mathematics questions for 40 marks in the Computer Based Test (CBT).

Is there negative marking for Mathematics in BSF Head Constable (RO/RM)?

Yes. BSF Head Constable (RO/RM) deducts one fourth of a mark for each wrong answer, Mathematics included, so unsure guesses cost you. 0.25 marks are deducted for each wrong answer; each question carries 2 marks. Unanswered questions carry no penalty.

Which Mathematics topics matter most for BSF Head Constable (RO/RM)?

The BSF Head Constable (RO/RM) syllabus lists Algebra, trigonometry and coordinate geometry, Calculus basics and differentiation, Statistics and probability at Intermediate level, Mensuration and arithmetic applications. Weight your revision towards the ones you are weakest on and confirm the emphasis against the paper analysis for recent cycles.

How can I practise Mathematics for BSF Head Constable (RO/RM) free?

Every Mathematics question on this site is free and written to the exam pattern. Use the topic drills for instant-feedback practice, the daily quiz to keep the section warm, and the BSF Head Constable (RO/RM) mock tests to sit it under a real clock with negative marking.