Overview: Mathematics Chapter Wise Notes
Competitive exams jaise SSC (CGL, CHSL, GD, CPO), Railway (RRB NTPC, Group D, ALP), State PSCs aur Banking exams me full marks score karne ke liye Mathematics par conceptual clarity aur fast calculation speed hona mandatory hai. Is Mathematics Chapter Wise Notes collection me Arithmetic aur Advance Maths ke 14 major consolidated modules provide kiye gaye hain jinme core formulas, shortcut theorems, aur solved practice sets shamil hain.
Key Highlights of this 14-Module Mathematics Set
- Arithmetic Modules: Number System & HCF-LCM, Simplification (Square & Cube Root), Average, Percentage, Profit & Loss, SI-CI, aur Ratio-Proportion-Mixture-Partnership.
- Commercial & Motion Maths: Time & Work (with Pipes & Cisterns), Time Speed & Distance (with Boat & Streams).
- Advance Mathematics: Algebra, Trigonometry, Geometry, Mensuration 2D/3D, aur Data Interpretation (DI).
- Step-by-Step Solutions: Har chapter me basic definition ke sath exam-oriented shortcut methods aur previous year questions included hain.
Sabhi subjects ke complete study materials aur notes download karne ke liye hamare central Competitive Exam Notes Master Hub ko zaroor access karein.
Mathematics Topic Breakdown & Exam Weightage
| Topic Module | Chapters & Concepts Included | Average Exam Weightage |
|---|---|---|
| Number System & Simplification | Divisibility, Remainder Theorem, HCF & LCM, Square/Cube Roots, Surds | 3 – 4 Questions |
| Commercial Arithmetic | Percentage, Profit & Loss, Discount, Simple & Compound Interest | 5 – 6 Questions |
| Ratio, Mixture & Partnership | Ratios, Mean Proportions, Alligation, Ages, Partnership share | 3 – 4 Questions |
| Time, Work & Motion | Time & Work, Pipes & Cisterns, Speed Time & Distance, Trains, Boats & Streams | 4 – 5 Questions |
| Advance Maths & Mensuration | Algebra, Geometry, Trigonometry, 2D & 3D Mensuration formulas | 6 – 8 Questions |
| Data Interpretation (DI) | Pie Charts, Bar Graphs, Line Graphs, Tabulation tables | 3 – 5 Questions |
High-Yield Practice Questions on Mathematics
Apni solving speed aur accuracy evaluate karne ke liye ye 5 selected problems solve karein:
Q1. If $\sqrt{1 + \frac{x}{144}} = \frac{13}{12}$, find the value of $x$.
Check Answer
Answer: 25.
Solution: Squaring both sides: $1 + \frac{x}{144} = \frac{169}{144} \Rightarrow \frac{x}{144} = \frac{169}{144} – 1 = \frac{25}{144} \Rightarrow x = 25$.
Q2. A sum of money becomes 3 times of itself in 8 years at simple interest. In how many years will it become 7 times of itself at the same rate?
Check Answer
Answer: 24 Years.
Solution: Formula: $\frac{N_1 – 1}{T_1} = \frac{N_2 – 1}{T_2} \Rightarrow \frac{3 – 1}{8} = \frac{7 – 1}{T_2} \Rightarrow \frac{2}{8} = \frac{6}{T_2} \Rightarrow T_2 = \frac{6 \times 8}{2} = 24\text{ years}$.
Q3. If $\tan\theta + \cot\theta = 2$, find the value of $\tan^5\theta + \cot^5\theta$.
Check Answer
Answer: 2.
Solution: $\tan\theta + \frac{1}{\tan\theta} = 2 \Rightarrow \tan\theta = 1$ (when $\theta = 45^\circ$). Therefore, $1^5 + 1^5 = 1 + 1 = 2$.
Q4. Pipe A can fill a tank in 10 hours and Pipe B can fill it in 15 hours. If both pipes are opened together, how much time will they take to fill the tank?
Check Answer
Answer: 6 Hours.
Solution: Total tank capacity = $\text{LCM}(10, 15) = 30$ units. Efficiency of A = $3\text{ units/hr}$, B = $2\text{ units/hr}$. Combined time = $\frac{30}{3 + 2} = \frac{30}{5} = 6\text{ hours}$.
Q5. The diagonal of a cube is $6\sqrt{3}\text{ cm}$. Find its total surface area and volume.
Check Answer
Answer: Surface Area = $216\text{ cm}^2$, Volume = $216\text{ cm}^3$.
Solution: Diagonal $a\sqrt{3} = 6\sqrt{3} \Rightarrow a = 6\text{ cm}$. Total Surface Area = $6a^2 = 6 \times 6^2 = 216\text{ cm}^2$. Volume = $a^3 = 6^3 = 216\text{ cm}^3$.
Download 14 Chapter-Wise Mathematics PDFs
Niche diye gaye chapter buttons me se kisi par bhi click karein. 20-second timer ke baad direct Google Drive link generate ho jayega:
🔢 Number System and HCF & LCM
Divisibility rules, unit digits, remainders, and HCF-LCM methods.
🔢 Simplification, Square & Cube Root
VBODMAS rules, surds, indices, square root & cube root tricks.
📐 Algebra
Algebraic identities, factorizations, linear & quadratic equations.
⚖️ Average (Mean)
Arithmetic mean, weighted average, batting/bowling average sums.
📊 Percentage
Fraction to percent rules, election, price & consumption problems.
💰 Profit and Loss (with Discount)
Cost price, marked price, successive discounts & dishonest seller.
💵 Simple & Compound Interest
Rate calculations, CI-SI difference formulas & yearly installments.
⚖️ Ratio, Mixture & Partnership
Third/fourth proportion, alligations, milk-water ratios & partnership.
⏱️ Time & Work (Pipe & Cisterns)
Efficiency units method, alternate work days, and leakages.
🚗 Speed, Distance, Train & Boat
Relative speed, trains crossing platforms, upstream & downstream.
📦 Mensuration (2D & 3D)
Perimeter, area, surface area, and volume of solids and plane shapes.
📐 Trigonometry
Ratios, identities, standard angle values, height & distances.
📐 Geometry
Lines, angles, triangles, circles, tangents, chords & quadrilaterals.
📊 Data Interpretation (DI Master Module)
Comprehensive coverage of Pie charts, Bar charts, Line graphs, and Tabular DI for SSC & Bank exams.
BRAHMASTRA Complete Maths Formula Book
By Aditya Ranjan Sir | Multicolored Formula Guide for Arithmetic & Advance Maths.
Calculation King by Gagan Pratap Sir
Mental math shortcuts, table tricks & speed calculation formulas for SSC & Bank exams.
Rakesh Yadav SSC Mathematics Solved Papers
Chapter-wise & Type-wise solved questions with detailed bilingual explanations.
Disha 33 Year-wise SSC Solved Question Bank
Combined Level complete previous years question bank with authentic keys.
📥 Join Our Social Channels for Daily Free Study Material
FAQs: Mathematics Chapter Wise Notes
Q1: How many chapters are covered in these Mathematics Notes?
Ans: This handbook covers 14 core consolidated topics covering both Arithmetic (Percentage, Profit-Loss, Time-Work, Speed-Distance) and Advance Maths (Algebra, Trigonometry, Geometry, Mensuration, and DI).
Q2: Are these mathematics notes helpful for SSC CGL Tier 1 and Tier 2?
Ans: Yes, all 14 chapters are fully aligned with the syllabus of SSC CGL, CHSL, CPO, RRB NTPC, and Railway JE exams.
Q3: How do I download the Chapter-Wise Mathematics PDFs on SarkariExamPDF?
Ans: Click on your preferred chapter card above, wait 20 seconds for the countdown timer to finish, and click the unlocked download button to access the Google Drive file.
Q4: Are formula shortcut tricks included in these notes?
Ans: Yes, each module features concept definitions, formula summaries, shortcut calculation techniques, and solved previous year questions.
Exam Expert & Content Strategist with over 5+ years of experience in the competitive exam sector. I specialize in analyzing government recruitment patterns and simplifying complex syllabi for aspirants. Having helped thousands of students through Sarkari Exam PDF, my mission is to provide authentic, updated, and high-quality study materials for SSC, UPSC, Railways, and Banking exams to help every candidate achieve their career goals.
⚠️ Disclaimer: All study materials, notes, and PDFs shared on SarkariExamPDF.in are provided purely for educational and reference purposes to assist competitive exam aspirants. We do not claim ownership of any original books or official publications. If you are the rightful copyright owner and have any objection regarding any material, please contact us through our Contact Page for immediate removal.