BINOMIAL EXPANSION -rth term (middle, A exponent, constant) -number of terms (bi and tri) -sum of exponents -sum of coefficients

PROGRESSION -Arithmetic -Geometric -Summation (Code) -Sum of Infinite Geo (normal and ball rebound) -Arithmetic Mean -Geometric Mean -Quadratic Mean/Root Mean Square

-Age Problem -Work (Together, Man-Hr, Naay Nibiya) -Clock (degrees of Hr and Mins)

PROBABILITY -Mutually Exclusive -Independent -Non-Mutually -Repetead Trials -At Least Trials -Coin Tossed -Either One of them Can

PERMUTATIONS -Sit To Each Other (Not-cyclic and Cyclic) -Reserved a Place in Table -Don't Want to Follow Each Other

STATS -bracelet -successions -flag signals -true/false -invite friends -consonant/vowels -standard deviation -variance

PLANE GEO -Circle (Area, Circumference) -Sector (Area, Length) -Triangle (Area-3) -Quality of Triangle

- Sine Law - Cosine Law - Circumscribing Triangle - Inscribed Triangle

POLYGONS -Number of Diagonals -Interior Angle -Central Angle -Area of Regular Polygon -Area of Inscribed Circle in a Polygon -Area of Circumscribing Circle in a Polygon

SHAPES -Square (A&P) - Rectangle (A&P) - Rhombus (A, Ad, &P)

-Parallelogram (A, Ad, &P) - Trapezoid (A&P) - Trapezium (Area)

MISC -Inscribed Star -Overlapping Circle -Prism is equal to -Pentadecagon sides

POLYHEDRONS -Face -Edge -Area -Radius of Inscribed Sphere

SOLIDS -Volume General Formula -Cube (V,A, AL, D) -Rectangular Parallelepiped (V,A,AL, D) -Prism/Cylinder (V,A,AL) -Truncated (V)

-Cone (V, A, AL, V curved) -Pyramid (V, A, AL) -Frustum (V, A, AL) -Prismatoid summarized the volume and areas

-Sphere (V,A) -Spherical Zone -Spherical Sector

-Spherical Segment (rh, abh) -Spherical Pyramid (V,A) -Spherical Lune -Spherical Wedge

-Torus (V,A) -Ellipsoid -Parabloid/Conoid -Hyperboloid

ANALYTIC GEO -Distance Formula -Straight Line Eq. -General Eq. -Point Slope Form -Slope Intercept Form -Intercept Form -Two Point Form

Useful Formulas -Slope (Parallel, Perpendicular) -Ratio (x and y) -Distance Between Two Parallel Lines -Distance from a Line to a Point

-Angle Between Two Slopes -Cosine Angle Between Two Lines -Area by Coordianates (Triangle and Polygons) -Locus of an Equation (equidistant)

CONICE SECTIONS -Differentiate using Eccentricity -if B = 0 -if B≠ 0

PARABOLA -equations (up-down, left-right) -focus -directrix -Latus Rectum -Area of Latus Rectum

ELLIPSE -equations (upward, sideward) -a,b,c,d,e -Latus Rectum -Circumference -Area -Largest Rectangle -Apogee -Perigee

HYPERBOLA -equation (side or up) -a,b,c,d,e -Latus Rectum -Asymptotes

-Finding Center SHORTCUT -Finding a and b SHORTCUT -where to put a and b

DIFFERENTIAL CALCULUS -How to Derive? -SLOPE (tangent, normal, parametric)

-How to 2nd Derive? -Radius of Curvature

MAXIMA/MINIMA -differences of max min and poi -Cylinder (Min Max) -Square (Max, Make a Box) -Triangle (Max) -Parabola

INTEGRAL CALCULUS -How to Integrate? -How to Double Integrate? (xy) (x+y)

-Area Bounded -Moments -Centroid

-Arc Length (3) -Moment of Inertia

-Volume of Solid Revolution (Case 1&2) -Surface Area (Pappus) -Volume (Pappus)

MISC -Work (to rise the water) -Submerged

-Work of Spring -Common Graphs

DIFFERENTIAL EQUATIONS -How to Find the General Solution -Getting the Differential Equation

-Linear Equations of Higher Order (CASE1-4) -Newton's Law of Cooling

-Growth and Decay -Escape Velocity

ENG ECON -Simple Interest (Ordinary&Exact) -Compound Interest -Effective Annual Rate -Rate of Discount and Interest

-Perpetuity -Continuous Compound -Annuity (P&F) -Arithmetic Gradient -Geometric Gradient -Capitalized Cost

-Benefit/Cost Ratio -Capital Recovery Rate -Economic Order Quantity

-Straight Line Method -SYD Method -Declining Balance Method

-Double Declining Balance Method -Sinking Fund Method -Annual Depreciation -Total Depreciation

ENG MECHANICS -Uniformly Accelerated Motion

PROJECTILE -x and y components -tan theta -Super elevation -Maximum Range -Maximum Height -Bomb dropped/marksman/hose

BLOCK Concept -Fnet -Ff -acceleration

-D'Alemberts Principle Elevator Tension -Parabolic Cable (Length, Tension Max &Min) -Catenary (csy, Max&Min Tension, Half Length)

- 2nd Moment of Inertia (Square Triangle Circle) - Rope&Drum - Wheel & Roll - Total Acceleration - Centrifugal Acceleration - Hammer

-Radius of Gyration -Pendulum -Banking with Friction

-Kinetic Energy (I) -Super Elevation -Angle Between Two Vectors -Resistance -Board-Feet Plank -Specific Gravity -Radius of Gyration -Length of Submerged -Duct Diameter -Velocity Escape -Mass

-Resistance in Wires (Series&Parallel) -Bookstore Purchase -Coefficient of Restitution -Maximum Area of Circumscribed Rectangle -Enthalpy, Velocity and Temperature -Exactly x numbers out of n -Volume Decrease -Angular Momentum -Critical Load -Cycloid -Chordal Distance -Coefficient of Vena Contraction