OGT Math Reference Sheet

Ohio Graduation Tests Mathematics Reference Sheet
Information that may be needed to solve problems on the Mathematics Test:
Volume Formulas
Area Formulas
parallelogram
A = bh
rectangle
1
cone
V = 3 πr 2h
A = lw
cylinder
V = πr 2h
trapezoid
A = 1 h (b1 + b2 )
pyramid
V = 3 Bh
triangle
A = 1 bh
rectangular prism V = lwh
2
2
Circle Formulas
C = 2πr
π ≈ 3.14 or
22
7
1
right prism
V = Bh
sphere
V = 3 πr 3
B = area of base
B = area of base
4
A = πr 2
Combinations
n!
nC r = C(n,r) =
r!(n – r )!
Permutations
n!
nP r = P(n,r) =
(n – r )!
Trigonometry
sin A =
opposite
hypotenuse
cos A =
adjacent
hypotenuse
tan A =
opposite
adjacent
Distance Formula
d=
2
2
(x 2 – x 1) + (y2 – y1)
x 2
x 45°
Quadratic Formula
x=
−b ± b2 – 4ac
2a
45°
x
2x
x 60°
30°
x 3
12/20/05