FAST-NUCES Admission Test - Syllabus & Paper Pattern
Syllabus for the FAST-NUCES Entry Test for BS Computer Science and BS Engineering programmes. Prepare with timed topic practices and full mock tests matching the sectional time limits.
120 MCQs
120 Marks
120 Mins
-0.25 negative marking
Official FAST-NUCES Syllabus
Under FAST-NUCES admission criteria, the entry test performance accounts for 50% of the final merit aggregate. The remaining 50% is calculated using your board exam grades (FSc and Matriculation).
Syllabus details for BS Computer Science and BS Engineering programmes. Advanced Mathematics covers FSc Part I & II, while English follows an SAT-style pattern.
Number Systems & Complex Numbers
Real numbers, complex numbers, algebraic operations, Argand diagram
Sets, Functions & Groups
Types of sets, operations on sets, functions, binary operations, group properties
Matrices & Determinants
Matrix types, operations, determinants, inverse matrices, solving linear systems
Quadratic Equations
Solution methods, nature of roots, sum & product of roots, equations in radicals
Partial Fractions
Resolving proper and improper rational fractions into partial fractions
Sequences & Series
AP, GP, HP — nth term, sum formulas, arithmetic and geometric means
Permutations, Combinations & Probability
Factorial notation, nPr, nCr, probability theorems, addition and multiplication rules
Mathematical Induction & Binomial
Principle of induction, binomial expansion, general term, middle term
Fundamentals of Trigonometry
Angles, arc length, trigonometric ratios, quadrant signs
Trigonometric Identities
Fundamental, double-angle, half-angle, product-to-sum identities
Trigonometric Functions & their Graphs
Domain, range, period, graphs of sin/cos/tan and their transformations
Application of Trigonometry
Law of sines & cosines, solution of triangles, area of triangle
Inverse Trigonometric Functions
Domain, range, principal values, graphs of inverse trig functions
Solutions of Trigonometric Equations
General and particular solutions, equations involving multiple angles
Functions & Limits
Types of functions, composition, inverse, limits, continuity, L'Hôpital's rule
Differentiation
Differentiation rules, derivatives of trig/log/exp, implicit, parametric, higher-order
Integration
Indefinite & definite integrals, integration techniques, areas and volumes
Analytic Geometry
Straight lines, circles — equations, properties, tangents and normals
Linear Inequalities & Linear Programming
Graphical solution, feasible region, corner point theorem
Conic Sections
Parabola, ellipse, hyperbola — standard forms, focus, directrix, eccentricity
Vectors
2D & 3D vectors, dot and cross products, scalar and vector projections
| # | Topic | Sub-topics | Prepare |
|---|---|---|---|
| 01 | Number Systems & Complex Numbers | Real numbers, complex numbers, algebraic operations, Argand diagram | Lectures |
| 02 | Sets, Functions & Groups | Types of sets, operations on sets, functions, binary operations, group properties | Lectures |
| 03 | Matrices & Determinants | Matrix types, operations, determinants, inverse matrices, solving linear systems | Lectures |
| 04 | Quadratic Equations | Solution methods, nature of roots, sum & product of roots, equations in radicals | Lectures |
| 05 | Partial Fractions | Resolving proper and improper rational fractions into partial fractions | Lectures |
| 06 | Sequences & Series | AP, GP, HP — nth term, sum formulas, arithmetic and geometric means | Lectures |
| 07 | Permutations, Combinations & Probability | Factorial notation, nPr, nCr, probability theorems, addition and multiplication rules | Lectures |
| 08 | Mathematical Induction & Binomial | Principle of induction, binomial expansion, general term, middle term | Lectures |
| 09 | Fundamentals of Trigonometry | Angles, arc length, trigonometric ratios, quadrant signs | Lectures |
| 10 | Trigonometric Identities | Fundamental, double-angle, half-angle, product-to-sum identities | Lectures |
| 11 | Trigonometric Functions & their Graphs | Domain, range, period, graphs of sin/cos/tan and their transformations | Lectures |
| 12 | Application of Trigonometry | Law of sines & cosines, solution of triangles, area of triangle | Lectures |
| 13 | Inverse Trigonometric Functions | Domain, range, principal values, graphs of inverse trig functions | Lectures |
| 14 | Solutions of Trigonometric Equations | General and particular solutions, equations involving multiple angles | Lectures |
| 15 | Functions & Limits | Types of functions, composition, inverse, limits, continuity, L'Hôpital's rule | Lectures |
| 16 | Differentiation | Differentiation rules, derivatives of trig/log/exp, implicit, parametric, higher-order | Lectures |
| 17 | Integration | Indefinite & definite integrals, integration techniques, areas and volumes | Lectures |
| 18 | Analytic Geometry | Straight lines, circles — equations, properties, tangents and normals | Lectures |
| 19 | Linear Inequalities & Linear Programming | Graphical solution, feasible region, corner point theorem | Lectures |
| 20 | Conic Sections | Parabola, ellipse, hyperbola — standard forms, focus, directrix, eccentricity | Lectures |
| 21 | Vectors | 2D & 3D vectors, dot and cross products, scalar and vector projections | Lectures |
Subject-wise Weightage
The entrance examination consists of 120 multiple-choice questions split across four section allocations. Please note that each section is individually timed.
Advanced Mathematics
50 MCQs · 50 Marks
Basic Mathematics
20 MCQs · 20 Marks
IQ & Analytical Reasoning
20 MCQs · 20 Marks
English
30 MCQs · 30 Marks
Frequently Asked Questions
Explore More Study Resources
Knowledge Hub
Access a comprehensive library of study materials, formula sheets, and syllabus guides designed to streamline your exam preparation.
Past Papers
Sharpen your skills with solved papers organised by exam type and board, so you can practise with real questions under timed conditions.
Calculators
Access our scientific calculator and admission aggregate estimators to check your academic standing and exam calculations.
Get started for free Now
Download the App Now!
Experience online learning of all exams through our Think Study & Learn App Only