GRADE 11 MATHEMATICS REFERENCE SHEETUse the information below as needed to answer questions on the mathematics portion of the test.

Geometry Formulas:

Distance between two points (x

1, y

1) and (x

2, y

2):

d x x y y= − + −( ) ( )2 12

2 12

Quadratic Formula:

If ax bx c2 0+ + = , then

x b b aca

= – ± −2 42

Circle A = πr 2

C = 2πr

Pythagorean Theorem: a2 + b2 = c2

Trigonometric Ratios for ∠A:

Sphere

SA = 4πr 2

V = 43

πr 3

Pyramid

V = 13

Bh

(B = base area)

Trapezoid

A = 12

h(b1 + b

2)

Cylinder SA = 2πr 2 + 2πrh V = πr 2h

Rectangular Prism SA = 2(lw + lh + wh) V = lwh

Cone SA = πrl + πr 2

V = 13

πr 2h

Right Triangle Relationships:

Geometric Sequence Formula:

a a r a n r ra

n nn n= ≠ =− +

.

( ) ( ),11 11i , where is the th term, and

aan

Arithmetic Sequence Formula:

a a n d a n d a an n n n= + − = −+. ( ) ( )1 11 , where is the th term and

Revised: 11/21/06

Special Right Triangles:

sin A =

cos A =

tan A =