RRB RPF SI Mathematics Syllabus

The Arithmetic section of the RRB RPF Sub-Inspector (SI) CBT 2027 carries 35 questions and 35 marks out of 120 marks in 90 minutes. It is set at graduation level difficulty -- noticeably harder than the RPF Constable paper -- with multi-step problems, Data Interpretation, Coordinate Geometry, Probability, and Permutation and Combination included in addition to all Class 10 arithmetic topics. The higher qualification requirement (Bachelor's Degree) is reflected directly in the difficulty and scope of questions.

Quick Facts: RPF SI Arithmetic

Core Arithmetic Syllabus (Class 10 Level)

All topics from the RPF Constable Arithmetic syllabus are included in the SI paper, but at higher difficulty and with more multi-step application. Refer to the RPF Constable Mathematics page for the core topic breakdown. The full core topic list is reproduced below:

•        Number System: natural numbers; integers; HCF and LCM (prime factorisation and division method); divisibility rules (2, 3, 4, 5, 6, 7, 8, 9, 10, 11); number properties; BODMAS and simplification

•        Decimals and Fractions: operations; conversion; comparison; recurring decimals

•        Percentage: calculation; percentage change; successive percentage changes; reverse percentage; population growth and decline

•        Ratio and Proportion: simple and compound ratio; direct and inverse proportion; mean proportional; third proportional

•        Profit, Loss and Discount: CP, SP, MP; profit percentage; loss percentage; equivalent single discount for successive discounts; dishonest dealer problems

•        Simple Interest and Compound Interest: SI formula; CI formula (annual, half-yearly, quarterly compounding); difference between CI and SI for 2 years; instalments under CI

•        Time and Work: combined work rate; fractional work done; pipes and cisterns (inlet, outlet, combined); work equivalence

•        Time, Speed and Distance: unit conversion (km/h to m/s); average speed; relative speed (same and opposite direction); trains (crossing stationary objects and each other); boats and streams (upstream, downstream, still water)

•        Mixture and Alligation: two-component alligation; alligation cross rule; mixture problems

•        Mensuration 2D: square, rectangle, triangle, parallelogram, rhombus, trapezium, circle, semicircle -- area and perimeter; sector area and arc length

•        Mensuration 3D: cube, cuboid, cylinder, cone, sphere, hemisphere -- TSA, CSA, and volume; frustum of cone

•        Elementary Algebra: linear equations in one and two variables; quadratic equations (factorisation and formula); basic algebraic identities

•        Geometry: lines and angles; triangles (congruence -- SSS, SAS, ASA, RHS; similarity -- AA, SSS, SAS; Pythagoras theorem; basic proportionality theorem); quadrilaterals (parallelogram, rectangle, square, rhombus properties); circles (chord, tangent, secant theorems; angle subtended by arc; cyclic quadrilateral)

•        Trigonometry: sin, cos, tan, cosec, sec, cot; standard angles (0, 30, 45, 60, 90); fundamental identities; complementary angle values; heights and distances (angle of elevation and depression -- single angle problems)

•        Statistics: arithmetic mean (direct and assumed mean method); median (ungrouped and grouped); mode; range; graphical representation (bar graph, histogram, pie chart, frequency polygon)

Additional Topics at Graduation Level

The following topics appear in the RPF SI paper but NOT in the RPF Constable paper. These represent the graduation-level extension of the SI syllabus:

•        Advanced Percentage and Partnership: multi-step percentage; time-weighted capital partnership; compound partnership with changing capital

•        Data Interpretation: table DI; bar chart DI; pie chart DI; line graph DI; multi-step calculations; caselet DI

•        Coordinate Geometry: distance formula; midpoint formula; section formula (internal and external); area of triangle using coordinates; slope and equation of a line (slope-intercept; two-point; intercept form); distance from a point to a line

•        Probability: sample space; events; complementary; mutually exclusive; P(A or B); P(A and B); problems with coins, dice, cards, and coloured balls

•        Permutation and Combination: fundamental counting principle; factorial; nPr (permutations); nCr (combinations); arrangement with identical items; circular arrangement; selection problems

•        Logarithms: laws (product, quotient, power, change of base); common and natural logarithm; solving logarithmic equations; applications

•        Advanced Mensuration: frustum (CSA and volume); combination of 3D shapes; cost-of-paint/flooring-type problems

•        Advanced Trigonometry: trigonometric identities applied to proof; compound angles (sin(A+B), cos(A+B), tan(A+B)); heights and distances with two angles of elevation or depression

•        Number Series: AP and GP formulae and sum; special series (sum of first n natural numbers, squares, cubes); number pattern problems

Data Interpretation (SI-Specific -- 4 to 6 Questions)

Data Interpretation is a significant component of the SI Arithmetic section and does not appear in the Constable paper. Prepare the following DI types:

•        Table DI: multi-row and multi-column data tables; percentage calculations on data; finding totals; comparison across rows and columns

•        Bar Chart DI: grouped bar charts; stacked bar charts; comparison across categories and years

•        Pie Chart DI: converting degrees to percentages; finding values from pie chart sectors; two-pie-chart combined problems

•        Line Graph DI: trend identification; rate of change; combination of two line graphs

•        Mixed DI: two different chart types presenting related data -- requiring comparison across both

•        Caselet DI: data presented as a paragraph rather than a visual; extracting values from text

Topic-wise Weightage

Preparation Tips for RPF SI Arithmetic

1. Prepare at Banking PO Level Difficulty

Do not prepare from Class 10 level material alone. The RPF SI Arithmetic difficulty is comparable to SSC CGL Tier 1 and Banking Preliminary level. Use question banks designed for those examinations to calibrate preparation correctly.

2. DI is Non-Negotiable

Data Interpretation accounts for 4 to 6 questions per paper. Practise at least one DI set every day in the final two months before the examination. Focus on speed in reading data and accuracy in percentage-based calculations on the data.

3. Coordinate Geometry and Probability Need Specific Preparation

Both topics are absent from the Constable paper. Allocate dedicated sessions to cover distance formula, slope and equation of a line, probability rules, and combination formulae specifically for the SI examination.

Frequently Asked Questions

Q1. Is the SI Arithmetic syllabus a strict superset of the Constable syllabus?

Yes. All Constable arithmetic topics appear in the SI paper as well, but at higher difficulty. The SI paper additionally includes DI, Coordinate Geometry, Probability, Permutation and Combination, and Logarithms.

Q2. How much harder is SI Arithmetic compared to Constable?

The SI paper typically has more multi-step problems, more DI, and harder Mensuration and Algebra questions. A candidate scoring 28 to 30 out of 35 in SI Arithmetic is performing at a competitive level.