Introduction One of the most beautiful results in elementary mathematics is the Pythagorean Theorem, which states: In a right-angled triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides. Mathematically,[a^2 + b^2 = c^2] Whenever three positive integers ((a, b, c)) satisfy this equation, they form […]

Grades 5–8 form the most critical yet most underestimated phase in a student’s mathematical journey. While Grades 9–12 often receive the most attention due to board exams and competitive tests, the reality is that performance at the senior level is largely determined by the depth of understanding built much earlier. Strong foundations in middle school […]

In mathematics examinations, students are often told to “solve faster”. Timers, mock tests, and competitive pressure create a belief that speed is the primary key to success. While time management is important, this belief is incomplete—and often harmful. In reality, accuracy beats speed in almost every serious mathematics exam. This article explains why accuracy matters […]

Why Most Students Waste Them—and How Toppers Use Them as a Weapon Past Year Questions (PYQs) are often called “the most important study resource.”That statement is true—but also dangerously incomplete. Because while toppers use PYQs to sharpen mastery,most students use them to collect false confidence. The difference is not effort.It’s method. This article explains the […]

Many IB students sit at a solid 5 in Mathematics and feel stuck. They work hard, complete homework, attend classes, and understand most lessons — yet a 7 feels unreachable. This leads to frustration and a dangerous belief: “Maybe I’m just not a 7-level student.” That belief is incorrect. Moving from a 5 to a […]

For decades, mathematics has been unfairly labeled as a subject meant only for the “gifted.” Students who struggle often internalize a damaging belief early on: “I am just not a math person.” Parents repeat it, teachers unknowingly reinforce it, and slowly the label becomes identity. But after years of teaching students across international boards, competitive […]

In Switzerland, academic excellence is not optional—it is a standard. For families and students seeking top-tier universities, global mobility, and intellectual distinction, mathematics often becomes the decisive subject. At the highest level, success in mathematics is not achieved through mass tutoring or generic worksheets, but through bespoke, elite mentorship. This is where private, highly specialized […]

For decades, the Oxford MAT (Mathematics Admissions Test) symbolized elite problem‑solving and mathematical maturity. That era has now ended. The University of Oxford no longer requires MAT. In its place, Oxford—along with several other top UK universities—has adopted a new, more standardized admissions testing framework known as UAT UK (University Admissions Tests – UK). UAT […]

Mathematics is not a collection of formulas—it is a language of logic, structure, and precise thinking. The Math By Rishabh Series is created with this belief at its core: to help students master mathematics from first principles to advanced problem-solving, with depth, clarity, and rigor. This series is designed for learners who do not want […]

I am pleased to announce the official release of the Math By Rishabh Series – Calculus, a complete, concept-driven collection designed to build true mathematical understanding from first principles to advanced applications. This series is not a collection of shortcut notes or formula handbooks. It is a systematic learning journey through calculus—structured to develop intuition, […]