MATH COUNTS FORMULAS

Degrees

100

Degrees in a circle

360°

200

Degrees in a right angle

90°

300

Degrees in a straight line

180°

400

Angles in a triangle add up to this

180°

500

sin (30°)

0.5

Area of Polygons

100

Area of a square

s² or lw

200

Area of a parallelogram

bh

300

Area of a triangle

(1/2)bh

400

Area of a rhombus

(1/2)d₁d₂

500

Area of a trapezoid

(1/2)(b₁+b₂)h

Surface Area

100

Surface area of a cube

6s²

200

Surface area of a rectangular prism

2(lw+wh+lh)

300

Surface area of a sphere

4π²

400

Surface area of a cylinder

2πrh + 2πr²

500

Surface area of a cone

πr² + πr x √r² + h²

Volume

100

Volume of a cube

s³

200

Volume of a pyramid

(1/3)Bh

300

Volume of a sphere

(4/3)πr³

400

Volume of a cylinder

πr²h

500

Volume of a cone

(1/3)πr²h

Shapes

100

Area of a circle

πr²

200

Circumference of a circle

2πr or πd

300

Pythagorean Theorem (area of a right triangle)

a² + b² = c²

400

Example of a Pythagorean triple

(3,4,5) or (5,12,13) or (7,24,25) or etc.

500

Arc length of a circle

(x/360)(2πr)