Maths and Physics Formula Sheet (Class 9–12, SAT)

A printable maths and physics formula sheet for classes 9 to 12

This formula sheet collects the formulas students use most, organised by class and by the chapter names of the NCERT/CBSE syllabus: Class 9 and 10 maths and science (physics), Class 11 and 12 maths and physics, and a geometry and SAT math sheet. Pick a sheet, narrow it to one chapter or search for a word such as “lens” or “integration”, and print exactly what you need.

The formula sheet for class 10 maths opens first, from real numbers and quadratic equations to trigonometric values, mensuration, statistics and probability. Every formula is typed out — no blurry scans — and the PDF is vector, with proper Greek letters, square roots and integrals, so it stays sharp when printed.

How to use the Maths & Physics Formula Sheet (Class 9–12)

1. Choose a sheet: a class and subject, the geometry and SAT sheet, or all of them.
2. Optionally pick one chapter, or type in the search box to find formulas by name.
3. Read the formulas on screen, or copy them as text.
4. Set a title and text size, choose A4 or Letter, and press Print sheet, Download PDF or PNG.

Maths & Physics Formula Sheet (Class 9–12) features

What is on each formula sheet

• Class 9 maths: exponent laws, algebraic identities, remainder and factor theorems, Heron’s formula, cone and sphere.
• Class 10 maths: HCF × LCM, zeroes of polynomials, linear-equation conditions, quadratic formula and discriminant, AP, distance and section formulas, trigonometric ratios, identities and values, arcs and sectors, mensuration, grouped mean, median and mode, probability.
• Class 11 and 12 maths: sets, trigonometric identities, complex numbers, P&C, binomial theorem, GP, straight lines, conics, limits and derivatives, statistics; inverse trigonometry, matrices, derivatives, standard integrals, differential equations, vectors, 3-D lines and probability.
• Physics: equations of motion, Newton’s laws, gravitation, work–energy, light and electricity for classes 9–10; units and errors, projectiles, rotation, fluids, heat, thermodynamics, SHM and waves for class 11; electrostatics, current, magnetism, EMI, AC, optics and modern physics for class 12.

Formula sheet for geometry and SAT math

The geometry and SAT sheet covers the same ground as the reference box on the SAT — areas of rectangles, triangles and circles, the Pythagorean theorem, the 30°–60°–90° and 45°–45°–90° triangles, volumes of a box, cylinder, sphere, cone and pyramid, and angle facts — plus the algebra you are expected to know without a sheet: slope, line equations, the distance and mid-point formulas, circle equations, the quadratic formula, vertex form and exponential growth.

How to revise with a formula sheet

Knowing a formula is not the same as knowing when to use it, so read each one with its name and the chapter it belongs to. Print one chapter at a time and cover the right-hand column to test yourself, or turn the formulas into cards with the flashcard maker. For trigonometry, the unit circle shows where the standard values come from, and the quadratic equation solver checks your answers step by step. The formulas were written for this page from the standard results taught in school; check your own syllabus, as boards occasionally drop or add topics.