Ratio and Proportion Notes PDF ! Tricks related to ratio and proportion
Ratio and Proportion Notes PDF Hello students, if you are preparing for any competitive exam, then through this article we are sharing Ratio and Proportion Notes which can become a source of preparation for you, these notes through reputed coaching Designed on the pattern taught.
Ratio and Proportion Notes
Students, if you are preparing or are going to do any competitive exam, then definitely read our notes pdf because you are being provided with all the best coaching notes from basic to advance maths here. This handwritten math notes has been prepared for such students who are preparing for SSC, BANK, Railway, NDA, Clark, Group C, Group D and State level and Central Level Exams .
In all these notes pdf, such questions have been included which have been asked in some competitive examination at some point or the other, which have been solved through tricks by giving examples and an attempt has been made to explain in detail.
Ratio and Proportion Notes PDF Download
To get this handwritten notes visit the given link.
| Ratio and Proportion Notes PDF | Download |
Students, for all of you, we will also share other notes related to Ratio and Proportion for you through this article, if you are preparing for the above mentioned competitive exam and you also need other notes related to this chapter, then bookmark this page of ours. Do it and keep visiting regularly.
Here are top-quality PDF notes & trick sheets for Ratio and Proportion, perfect for SSC, banking, and other competitive exams:
📥 Free PDF Resources
1. CareerRide – Tips, Tricks & Formulae
A concise PDF covering basic definitions, rules, and smart shortcuts: componendo‑dividendo, mean proportion, splitting in ratio, inverse ratio, and more.
✅ Great for mastering quick tricks.
2. Testbook – Ratio & Proportion Concept Guide
Includes clear explanations, solved examples, and common question patterns. Ideal to build understanding before jumping into speed strategies.
✅ Structured for exam prep.
3. SPL Lessons – Quant E-Book (Ratio & Proportions)
This PDF packs essential formulae, compositional tricks, and problem-solving tactics frequently used in aptitude rounds.
✅ Quick reference and practice ready.
4. Kai Chung Tam’s Scribd Shortcuts Sheet
A 5-page tips sheet on Scribd loaded with 15+ creative solution techniques for ratio problems, including advanced applications.
✅ Handy, printable, and easy to review.
📘 Complementary Reference PDFs
- Bucks County Ratio & Proportion Guide: Formal definitions, fractions, cross-multiplication, unit rates.
- NCERT Exemplar: Class VI Ratio, Proportion & Unitary Method: Basic yet clear guidance and practice problems.
🎯 How to Use These PDFs Effectively
| Goal | Best PDF Source |
|---|---|
| Learn fundamentals | Testbook guide + NCERT exemplar |
| Memorise formulas/tricks | CareerRide + SPL Lessons cheat sheet |
| Practice application | Bucks County PDF problems |
| Quick revision tool | Scribd shortcuts sheet |
🚀 Quick Tricks Overview
- Componendo‑Dividendo:
If a/b = c/d, then (a + b)/(a − b) = (c + d)/(c − d) - Mean proportion:
In a:x = x:b → x = √(ab) - Splitting a quantity:
For total K in ratio a:b → parts = (Ka/(a+b)), (Kb/(a+b)) - Inverse ratio:
If a/b = x/y then b/a = y/x - Comparing ratios:
a/b > c/d if ad > bc
(A full list with examples is in the CareerRide PDF.)
✅ Download & Print
- CareerRide & Testbook: Click “Download PDF” on their articles.
- SPL Lessons PDF: Available via their direct practice-set link.
- Scribd: Requires free account or trial; search “Ratio and Proportion Shortcuts”.
- Bucks & NCERT PDFs: Use “Download PDF” on their respective educational pages.
🔧 Next Steps
Want me to:
- Provide direct Google Drive links for any of these?
- Create a one-page revision sheet with all formulas & tricks from above?
- Add solved examples or practice sets alongside the theory?
Just say the word—I’m here to help you master Ratio & Proportion efficiently!