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- SSC Exam Pattern
- Number System of SSC Exam Pattern
- Arithmetic of SSC Maths Syllabus
- Geometry important topic of SSC Maths Syllabus
- Trigonometry: Important Topics of SSC Maths Syllabus
- Mensuration: Important Topics of SSC Maths Syllabus
- Statistics and Probability of SSC Maths Syllabus
- Data Interpretation of SSC Maths Syllabus
- Frequently Asked Question (FAQs)
SSC Exam Pattern
Tier 1 (Preliminary Exam):
- Subjects: General Intelligence & Reasoning, General Awareness, Quantitative Aptitude (Mathematics), English Comprehension.
- Number of Questions: 25 questions every in General Intelligence & Reasoning, General Awareness, and English Comprehension; 50 questions in Quantitative Aptitude.
- Total Marks: two hundred marks (50 marks in step with segment).
- Exam Duration: 60 mins (eighty mins for applicants eligible for scribes).
Tier 2 (Mains Exam):
- Subjects: Paper 1 (Quantitative Abilities – Mathematics), Paper 2 (English Language & Comprehension).
- Number of Questions: one hundred questions in Paper 1 (Quantitative Abilities), two hundred questions in Paper 2 (English Language & Comprehension).
- Total Marks: two hundred marks every for Paper 1 and Paper 2.
- Exam Duration: 2 hours for every paper.
Descriptive Paper (Tier 3):
This paper is for applicants making use of for positive classes of posts. It consists of essay and letter writing.
Total Marks: one hundred marks.
Duration: 1 hour.
Weightage of Mathematics Section in Different SSC Exams
The Mathematics (Quantitative Aptitude) segment holds huge weightage throughout diverse SSC checks, including:
- SSC CGL (Combined Graduate Level): Quantitative Aptitude segment incorporates 50 marks in Tier 1 and two hundred marks in Tier 2.
- SSC CHSL (Combined Higher Secondary Level): Mathematics segment contributes to the general rating in Tier 1 and Tier 2 checks.
- SSC JE (Junior Engineer): Mathematics bureaucracy a essential a part of the Technical Abilities segment.
- SSC MTS (Multi-Tasking Staff): Mathematics is examined withinside the General Intelligence & Reasoning segment.
- SSC Stenographer: Mathematics is part of the General Intelligence & Reasoning segment.
- SSC GD Constable: Mathematics questions are blanketed withinside the General Intelligence & Reasoning segment.
- SSC Selection Post Exams: Quantitative Aptitude/Mathematics segment is important primarily based totally at the publish category.
Number System of SSC Exam Pattern
Topic | Description |
|---|---|
Types of Numbers | Natural Numbers, Whole Numbers, Integers, Rational Numbers, Irrational Numbers, Real Numbers, Prime Numbers, Composite Numbers, Co-prime Numbers |
Number Properties | Commutative, Associative, Distributive Properties, Closure Property, Identity Element, Inverse Element, Properties of Zero, Properties of One |
Factors and Multiples | Prime Factorization, Factorization Method, Finding Factors and Multiples, Highest Common Factor (HCF), Least Common Multiple (LCM) |
Divisibility Rules | Rules for Divisibility by 2, 3, 4, 5, 6, 7, 8, 9, 10 |
Types of Fractions | Proper Fractions, Improper Fractions, Mixed Fractions, Equivalent Fractions, Simplification of Fractions |
Decimal Representation | Conversion between Fractions and Decimals, Terminating and Non-terminating Decimals, Repeating Decimals |
Percentage | Calculation of Percentage, Percentage Change, Percentage Increase or Decrease, Percentage Comparison |
Ratio and Proportion | Ratio, Proportion, Direct Proportion, Inverse Proportion, Applications of Ratio and Proportion in Problem Solving |
Average | Mean, Weighted Average, Average Speed, Average Temperature, Average Marks, Average Problems in Data Interpretation |
Profit and Loss | Cost Price, Selling Price, Profit, Loss, Discount, Marked Price, Successive Discount, Profit and Loss Problems |
Simple Interest and Compound Interest | Formulae, Calculation of Interest, Applications in Time and Work, Population Growth, Investments |
Time and Work | Work Efficiency, Work Done, Pipes and Cisterns, Work Problems, Days and Wages, Time and Distance Problems |
Speed, Time, and Distance | Relative Speed, Average Speed, Problems on Train, Boats and Streams, Circular Tracks, Problems on Races |
Arithmetic of SSC Maths Syllabus
Topic | Description |
|---|---|
Basic Operations | Addition, Subtraction, Multiplication, Division of Whole Numbers, Fractions, Decimals, and Integers |
Percentage | Calculation of Percentage, Percentage Change, Percentage Increase or Decrease, Percentage Comparison |
Profit and Loss | Cost Price, Selling Price, Profit, Loss, Discount, Marked Price, Successive Discount, Profit and Loss Problems |
Simple Interest and Compound Interest | Calculation of Interest, Difference between Simple Interest and Compound Interest, Applications in Time and Work, Population Growth, Investments |
Ratio and Proportion | Ratio, Proportion, Direct Proportion, Inverse Proportion, Applications of Ratio and Proportion in Problem Solving |
Mixture and Allegation | Mixing Quantities of Different Prices to Obtain a Mixture at a Specified Price, Allegations to Find Ratios in Mixtures |
Key Concepts :
- Basic Operations: Mastery of fundamental arithmetic operations across different number types (whole numbers, fractions, decimals).
- Percentage: Understanding the calculation and application of percentage in various scenarios.
- Profit and Loss: Calculation of profit, loss, discount, and related concepts like marked price and successive discount.
- Interest: Differentiation between simple and compound interest, and their applications in financial scenarios.
- Ratio and Proportion: Solving problems involving ratios, proportions, and their direct and inverse relationships.
- Mixture and Allegation: Determining the ratio in which two or more ingredients at different prices must be mixed to obtain a desired price.
Geometry important topic of SSC Maths Syllabus
1. Basic Geometrical Concepts
- Definitions of point, line, line segment, ray, plane, and space.
- Understanding primary shapes and their residences.
2. Lines and Angles
- Types of lines: parallel, perpendicular, and intersecting lines.
- Types of angles: acute, obtuse, right, straight, reflex, and whole angles.
- Angle residences: complementary and supplementary angles, vertically contrary angles.
3. Triangles and Their Properties
- Types of triangles primarily based totally on aspects (equilateral, isosceles, scalene) and angles (acute, obtuse, right-angled).
- Properties of triangles: triangle inequality theorem, Pythagorean theorem.
- Congruence and similarity of triangles.
4. Quadrilaterals and Polygons
- Types of quadrilaterals: parallelogram, rectangle, square, rhombus, trapezium, kite.
- Properties of quadrilaterals: contrary aspects and angles, diagonals.
- Introduction to polygons: normal and abnormal polygons, residences of polygons.
5. Circles and Their Properties
- Basic components: radius, diameter, circumference, chord.
- Properties of circles: same chords, tangents, arcs, sectors, and segments.
- Cyclic quadrilaterals and their residences.
6. Coordinate Geometry
- Cartesian coordinate system: plotting points, understanding (x, y) coordinates.
- Section formulation and midpoint formulation.
7. Area and Perimeter
- Calculating the place and perimeter of numerous shapes: triangles, quadrilaterals, circles.
- Understanding formulation and their programs in problem-solving.
- Volume and Surface Area
- Calculating the extent and floor place of 3-D shapes: cubes, cuboids, cylinders, cones, spheres.
- Understanding formulation and their realistic programs.
Trigonometry: Important Topics of SSC Maths Syllabus
Topic | Description |
|---|---|
Trigonometric Ratios | Definition and understanding of sine, cosine, tangent, cosecant, secant, and cotangent. |
Trigonometric Identities | Fundamental identities such as sin^2θ+cos^2θ=1\sin^2 \theta + \cos^2 \theta = 1, sec^2θ−tan^2θ=1\sec^2 \theta – \tan^2 \theta = 1, csc^2θ−cot^2θ=1\csc^2 \theta – \cot^2 \theta = 1. |
Trigonometric Functions | Graphs and properties of trigonometric functions, including their periodicity and symmetry. |
Angles and Their Measures | Understanding angles in degrees and radians, and converting between them. |
Inverse Trigonometric Functions | Definitions and properties of inverse trigonometric functions, and their ranges and domains. |
Trigonometric Equations | Solving basic trigonometric equations and understanding their general solutions. |
Heights and Distances | Application of trigonometry in solving problems related to heights and distances, angle of elevation, and angle of depression. |
Law of Sines and Cosines | Understanding and applying the Law of Sines and Law of Cosines in solving triangles |
Mensuration: Important Topics of SSC Maths Syllabus
1. Area and Perimeter of Various Shapes
- Calculating the vicinity and perimeter of triangles, quadrilaterals, circles, and different polygons.
- Understanding the formulation and their programs in sensible scenarios.
2. Surface Area and Volume of Solids
- Calculating the floor vicinity and extent of three-d shapes inclusive of cubes, cuboids, cylinders, cones, and spheres.
- Formulas and their derivations for specific shapes.
3. Cubes
- Understanding the properties, floor vicinity, and extent of cubes.
- Application of cube-associated troubles in real-lifestyles situations.
4. Cuboids
- Properties, floor vicinity, and extent calculations for cuboids.
- Applications of cuboids in diverse contexts, inclusive of packaging and construction.
5. Cylinders
- Properties of cylinders, inclusive of lateral floor vicinity, general floor vicinity, and extent.
- Solving troubles concerning cylinders, inclusive of packing containers and pipes.
6. Cones
- Surface vicinity and extent calculations for cones.
- Real-international programs of cones, like ice cream cones and visitors cones.
7. Spheres
- Properties of spheres, inclusive of floor vicinity and extent formulation.
- Applications of spheres in regions inclusive of sports (balls) and architecture.
8. Composite Figures
- Calculating the vicinity and perimeter of composite figures composed of easy geometric shapes.
- Applying mensuration formulation to resolve complicated composite discern troubles.
9. Practical Applications
- Solving troubles associated with mensuration in regular lifestyles, inclusive of calculating fabric portions for construction, estimating field capacities, and figuring out land vicinity.
Statistics and Probability of SSC Maths Syllabus
1. Mean, Median, Mode
Calculating and deciphering measures of valuable tendency:
- Mean: Average cost of a dataset.
- Median: Middle cost in a taken care of dataset.
- Mode: Most regularly taking place cost.
2. Standard Deviation
- Measure of the quantity of version or dispersion in a dataset.
- Calculation and interpretation in context of records spread.
3. Variance
- Square of the usual deviation.
- Understanding variance as a degree of records dispersion.
4. Probability Theory
Basics of opportunity:
- Defining opportunity as a degree of the chance of an occasion taking place.
- Types of events: impartial, together specific, complementary.
- Calculating possibilities the use of formulation and rules.
5. Basic Probability Rules
- Addition rule for disjoint events (together specific events).
- Multiplication rule for impartial events.
- Complement rule for locating the opportunity of an occasion now no longer taking place.
6. Probability Distributions
- Discrete Probability Distributions: Understanding and making use of distributions inclusive of binomial and Poisson distributions.
- Continuous Probability Distributions: Understanding and making use of distributions inclusive of ordinary distribution.
7.Measures of Spread
Range: Calculation of the distinction among the most and minimal values in a dataset.
Interquartile Range (IQR): Calculation of the variety of the center 50% of statistics values.
Box-and-Whisker Plots: Visual illustration of the unfold and distribution of a dataset.
8. Applications of Statistics and Probability
- Practical packages in fields inclusive of business, economics, social sciences, and herbal sciences.
- Analysis and interpretation of statistics the use of statistical and probabilistic techniques for decision-making and predictions.
Data Interpretation of SSC Maths Syllabus
1. Tables
- Interpretation of information provided in tabular format.
- Extracting data which include tendencies, comparisons, and relationships from tables.
2. Bar Graphs
- Analysis of information represented the use of bar graphs.
- Comparing portions or classes and knowledge tendencies over the years or throughout extraordinary groups.
3. Pie Charts
- Understanding the distribution of information the use of pie charts.
- Analyzing proportions and possibilities of various classes inside a whole.
4. Line Graphs
- Interpretation of information tendencies over the years or sequential information the use of line graphs.
- Identifying patterns, fluctuations, and relationships among variables.
5. Data Sufficiency
- Evaluating whether or not the given information is enough to reply a particular question.
- Identifying the minimal quantity of data required to attain a conclusion.
6. Mixed Graphs
- Analysis of blended information units provided in more than one formats (e.g., bar graphs with line graphs).
- Synthesizing data from extraordinary graphs to attract conclusions.
7. Calculations and Approximations
- Performing calculations primarily based totally at the information furnished in graphical formats.
- Using approximations and estimates to derive significant insights.
8. Percentage Analysis
- Calculating and deciphering possibilities primarily based totally at the information provided in graphical forms.
- Understanding proportions and modifications over the years or throughout classes.
9. Data Comparison
- Comparing information factors or classes inside the identical graph or throughout extraordinary graphs.
- Drawing conclusions primarily based totally on comparative evaluation.
10. Applications in Real-World Scenarios
- Applying information interpretation capabilities to remedy issues in numerous contexts, which include
business, economics, and social sciences. - Making knowledgeable choices primarily based totally on information evaluation and interpretation.
Freqently Asked Questions (FAQs)
Q1: What is the SSC exam?
Ans. The SSC (Staff Selection Commission) exam is a national-level competitive exam in India conducted to recruit staff for various posts in ministries, departments, and organizations of the Government of India.
Q2: What subjects are covered in SSC exams?
Ans. SSC exams typically cover subjects like General Knowledge, Quantitative Aptitude, Reasoning Ability, English Language, and sometimes specialized subjects depending on the exam.
Q3: How should I prepare for SSC exams?
Ans. To prepare for SSC exams, create a study plan, focus on understanding concepts, practice with previous years’ papers and mock tests, and revise regularly.
Q4: What is Data Interpretation in SSC exams?
Ans. Data Interpretation in SSC exams involves analyzing and interpreting data presented in various forms such as tables, graphs (bar, pie, line), and applying mathematical calculations to derive conclusions.
Q5: How important is Trigonometry for SSC exams?
Ans. Trigonometry is moderately important for SSC exams, especially in exams like SSC CGL, where questions can be asked on basic trigonometric identities, heights and distances, and trigonometric ratios.
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