MCAS reference sheet for grade 10 PDF

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MCAS grade 10 math reference sheet for students to use during their Mcas test...

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Massachusetts Comprehensive Assessment System Grade 10 Mathematics Reference Sheet CONVERSIONS 1 1 1 1 1 1 1

cup = 8 fluid ounces pint = 2 cups quart = 2 pints gallon = 4 quarts gallon ≈ 3.785 liters liter ≈ 0.264 gallon liter = 1000 cubic centimeters

1 1 1 1 1 1

inch = 2.54 centimeters meter ≈ 39.37 inches mile = 5280 feet mile = 1760 yards mile ≈ 1.609 kilometers kilometer ≈ 0.62 mile

1 1 1 1

pound = 16 ounces pound ≈ 0.454 kilogram kilogram ≈ 2.2 pounds ton = 2000 pounds

AREA (A) FORMULAS

CIRCLE FORMULAS

square . . . . . . . . . . . A = s 2

pi . . . . . . . . . . . . . π ≈ 3.14

rectangle . . . . . . . . . A = lw

circumference . . . . C = 2 πr OR C = πd

parallelogram . . . . . . A = bh triangle . . . . . . . . . . A =

1 bh 2

trapezoid . . . . . . . . . A =

1 h(b1 2

area . . . . . . . . . . . A = πr 2 + b 2)

RIGHT TRIANGLES Pythagorean Theorem

circle . . . . . . . . . . . . A = πr 2 TOTAL SURFACE AREA (SA) FORMULAS

a2 + b 2 = c2

c

a

θ

cube . . . . . . . . . . . . . . . SA = 6s 2

b

right square pyramid . . . . SA = s 2 + 2s ℓ

Trigonometric Ratios sin θ = cos θ =

(ℓ = slant height)

tan θ =

right rectangular prism . . SA = 2(lw) + 2(hw) + 2(lh)

SPECIAL RIGHT TRIANGLES VOLUME (V) FORMULAS cube . . . . . . . . . . . . V = s 3 (s = length of an edge)

x 45°

prism . . . . . . . . . . . . V = Bh

45° x

cylinder . . . . . . . . . . V = πr 2 h cone . . . . . . . . . . . . V =

1 πr 2 h 3

pyramid . . . . . . . . . . V =

1 Bh 3

sphere . . . . . . . . . . . V =

4 πr 3 3

x 2

60°

2y

y

30° y

3

a c b c a b...