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Mathematics Formula Sheets for End-of-Course Exams

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<strong>Mathematics</strong> <strong>Formula</strong> <strong>Sheets</strong> <strong>for</strong> <strong>End</strong>-<strong>of</strong>-<strong>Course</strong> <strong>Exams</strong><br />

Use at least two decimal place values when approximating square roots or trigonometric ratios.<br />

Description <strong>Formula</strong> Variables<br />

Arc Length<br />

L =<br />

L: Arc Length<br />

B, C: endpoints <strong>of</strong> arc<br />

d: diameter <strong>of</strong> the circle<br />

m: the measure <strong>of</strong><br />

Area <strong>of</strong> Sector<br />

A =<br />

A: Area <strong>of</strong> Sector<br />

B, C: endpoints <strong>of</strong> intercepted arc<br />

r: radius <strong>of</strong> the circle<br />

m: the measure <strong>of</strong><br />

Cylinder 2<br />

SA = 2r 2rh<br />

SA: Surface Area<br />

r: radius <strong>of</strong> the base<br />

h: height<br />

V = rh<br />

V: Volume<br />

r: radius <strong>of</strong> the base<br />

h: height<br />

Cone 2<br />

SA = r rl<br />

SA: Surface Area<br />

r: radius <strong>of</strong> the base<br />

l: slant height<br />

1<br />

V =<br />

3<br />

Bh<br />

V: Volume<br />

r: radius <strong>of</strong> the base<br />

or<br />

1<br />

V = h: height<br />

rh<br />

3 B: area <strong>of</strong> the base<br />

Prism V = Bh V: Volume<br />

B: area <strong>of</strong> the base<br />

H: height<br />

SA = 2B + Ph<br />

or<br />

SA = 2B + L<br />

SA: Surface Area<br />

B: area <strong>of</strong> the base<br />

P: Perimeter <strong>of</strong> the base<br />

h: height<br />

L: lateral surface area<br />

Pyramid 1<br />

V =<br />

3<br />

Bh<br />

V: Volume<br />

B: area <strong>of</strong> the base<br />

h: height<br />

Quadratic <strong>Formula</strong><br />

2<br />

b b 4ac<br />

x <br />

2a<br />

Sphere V = 4 πr3 V: Volume<br />

3<br />

r: radius<br />

SA = 4πr 2<br />

x: solution<br />

a, b, c: coefficients<br />

SA: Surface Area<br />

r: radius<br />

WORKING DRAFT<br />

Last Edited: 10/24/11 Algebra 1 OSPI, Page 25


<strong>Mathematics</strong> <strong>Formula</strong> <strong>Sheets</strong> <strong>for</strong> <strong>End</strong>-<strong>of</strong>-<strong>Course</strong> <strong>Exams</strong><br />

Use at least two decimal place values when approximating square roots or trigonometric ratios.<br />

WORKING DRAFT<br />

Last Edited: 10/24/11 Algebra 1 OSPI, Page 26

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