- Math Quotient Blog
Volume of a Cylinder: Formula, Worked Examples and Litres
The formula of volume of cylinder is V = πr²h: the circle area times the height. Find volume, height or radius, change cm³ to litres, and work out hollow pipes, with the mistakes that cost marks.
Completing the Square: Steps, Why It Works and Examples
Completing the square rewrites x² + bx + c as (x + b/2)² plus a number. See why it works with an area picture, how to handle a ≠1, find a turning point and solve SAT-style circle questions.
Trigonometry Formulas: Full List, When to Use and Examples
All the trigonometry formulas in 8 groups, each with when to use it. Learn three core formulas, sin²θ + cos²θ = 1, sin(A + B) and cos(A + B), and build the rest from them.
The Unit Circle: Exact Values, Quadrant Signs and Examples
The unit circle has radius 1, so the point at angle θ is (cos θ, sin θ). Build the exact values at 30°, 45° and 60° from two triangles, then use the quadrant signs.
Calculus Basics: What It Is and Where It Starts
Calculus basics in plain words: rate of change and area, shown with one Dubai Metro train, a ready-for-calculus checklist, 4 beginner mistakes, and where calculus sits in JEE Main and the SAT.
Pythagoras Theorem: Formula, Steps and Worked Examples
The Pythagoras theorem, a² + b² = c², in plain steps: find the longest side, find a shorter side, test for a right angle, avoid 5 common mistakes, and try SAT-style and JEE-style questions.
JEE Main Session 1 Result: When and How to Check It
When the JEE Main 2027 Session 1 result comes, how to check it on jeemain.nta.nic.in, what it shows, the answer key step before it, and how to decide on Session 2 from the UAE.
JEE Main Percentile vs Rank: What Your Score Means
Marks, percentile and rank in JEE Main, in plain words: how NTA works out the percentile in each shift, why the same marks give different percentiles, how a percentile turns into a rank, and what a good percentile is.
JEE Main Admit Card: How to Download It from the UAE
The JEE Main 2027 Session 1 admit card can be downloaded from 13 January 2027. How to get it from the UAE, what to check on it, the ID to carry, and the test times in UAE time.
JEE Main Marking Scheme for Maths: +4, -1 and Number Answers
How JEE Main marks maths: +4 for a right answer, -1 for a wrong one and 0 for a blank, in both sections. Number-answer rules, dropped questions, when an answer is worth the risk, and three worked score sums.
SAT-Style Linear Equations Questions
10 SAT-style linear equations questions with full working: brackets, fractions, no solution, infinitely many solutions and word problems in AED.
Hard SAT Maths Questions for Module 2
10 hard SAT-style maths questions at Module 2 level, each with the hand method, the Desmos method, the trap and its mistake type, plus a score table.
