Philippine Board Exams Reviewer

Mathematics Formula

Perimeter of a Square - P = 4s
Perimeter of a Rectangle - P=2l+2w
Circumference of a Circle - C = 2πr OR πd
Area of a Square - A=s²
Area of a Rectangle/ Square - A=lw
Area of a Parallelogram - A=bh
Area of a Trapezoid - A=½(b₁+b₂)h

Area of a Circle - A=πr²
Surface Area of a Rectangular Prism - SA = 2lw + 2wh + 2lh
Surface Area of a Circular Prism (Cylinder) - 2pR² + 2pRH
Surface Area of a Triangular Prism - bh + (S1+ S2 + S3)H
Base shape: Triangle: base 'b', height 'h', and sides S1, S2 and S3
Area of base : ½b×h
Perimeter of base: S1+ S2 + S3
Surface Area of a Cone - SA=πrl+πr²

Surface Area of a Sphere - SA=4πr²
Volume of a Cube - V=s³
Volume of a Prism - V =Bh
Volume of a Pyramid - V=⅓Bh
Volume of a Cone - V=1/3πr²h
Volume of a Sphere - V=(4/3)πr³
average = sum of terms / number of terms
average speed = total distance / total time
mode = value in the list that appears most often
median = middle value in the list
Area of a Trapezoid - A=½(b₁+b₂)h

Slope Formula - m=y₂-y₁/x₂-x₁
Slope-Intercept Form - y=mx+b, where m is the slope and b is the y-intercept of the line.
Point-Slope Form - y-y₁=m(x-x₁), where m is the slope and (x₁,y₁) is a given point on the line
Standard Form (Linear Equations) - Ax + By=C, where A, B, and C are not decimals or fractions, where A and B are not both zero, and where A is not a negative
Standard Form (Quadratic Equations) - ax² + bx + c = 0
Quadratic Formula - x = -b ± √(b² - 4ac)/2a

Standard Form (Quadratic Functions) - y=ax²+bx+c Intercept Form (Quadratic Functions) - the form y=a(x-p)(x-q), where the x-intercepts of the graph are p and q
Vertex Form (Quadratic Functions) - y=a(x-h)²+k
Exponential Growth Formula - y = a (1 + r), r is a decimal value for the percent increase
Exponential Decay Formula - y = a(1 - r), r is a decimal value for the percent decrease
Arithmetic Sequence Formula - a₁+(n-1)d
Geometric Sequence (Definition and Formula) - a sequence that can be defined recursively as An = A(n-1)r