Steply

SAT Math formula sheet

33 formulas · what each one means · a free lesson for each

All formula sheets

steplyclass.com/formula-sheets/sat-math/ · free, step-by-step lessons for every formula

On the SAT reference sheet

Circle
A = πr2 C = 2πr
Lesson: Perimeter and area →
Rectangle
A = lw
Lesson: Perimeter and area →
Triangle
A = 12bh
Lesson: Perimeter and area →
Pythagorean theorem
c2 = a2 + b2
Lesson: Pythagoras →
Special right triangles
x, x√3, 2x (30°-60°-90°) s, s, s√2 (45°-45°-90°)
Lesson: Special right triangles →
Rectangular box
V = lwh
Lesson: Volume and surface area →
Cylinder
V = πr2 h
Lesson: Volume and surface area →
Sphere
V = 43Ï€r3
Lesson: Spheres and hemispheres →
Cone
V = 13Ï€r2 h
Lesson: Cones →
Pyramid
V = 13lwh
Lesson: Pyramids →
Angle facts
circle: 360° = 2π radians · triangle: 180°
Lesson: Degrees and radians →

Not on the sheet: know these by heart

Slope
m = y2 − y1x2 − x1
Lesson: Slope from two points →
Slope-intercept form
y = mx + b
Lesson: Graphing y = mx + b →
Parallel and perpendicular
m1 = m2 m1 × m2 = −1
Lesson: Parallel and perpendicular lines →
Linear equation with no / every solution
ax + b = cx + d: a = c, b ≠ d none · a = c, b = d every number
Lesson: Find k →
Quadratic formula
x = −b ± √b2 − 4ac2a
Lesson: Quadratic equations →
Discriminant
b2 − 4ac
> 0 two answers, = 0 one, < 0 none.Lesson: The discriminant →
Vertex
x = −b2a y = a(x − h)2 + k
Lesson: Parabolas →
Sum and product of the roots
−ba, ca
Lesson: Sum and product of the roots →
Exponent rules
am an = am+n (am)n = amn amn = n√am
Lesson: Exponent rules →
Exponential model
y = a(1 ± r)t
Lesson: Exponential models from words →
Percent change
new − oldold × 100%
Lesson: Percent →
Percent change twice
× (1 + r1)(1 + r2)
Two changes multiply; they do not add.Lesson: Percent change twice →
Distance and midpoint
√(x2 − x1)2 + (y2 − y1)2 (x1 + x22, y1 + y22)
Lesson: Distance between two points →
Circle equation
(x − h)2 + (y − k)2 = r2
Lesson: Equation of a circle →
SOH CAH TOA
sin θ = opphyp cos θ = adjhyp tan θ = oppadj
Lesson: Right-triangle trigonometry →
Cofunctions
sin x° = cos(90 − x)°
Lesson: sin of one angle = cos of the other →
Arc and sector
θ360° × 2πr θ360° × πr2
Lesson: Arc length, sector area and perimeter as a part of the circle →
Similar figures
lengths × k, areas × k2
Lesson: Similar shapes and solids →
Mean and median
x = Σxn
A big outlier moves the mean, not the median.Lesson: Mean and median →
Probability
P = favorabletotal
Lesson: Probability →

Typing your answer

Fractions and decimals
312 → 7/2 or 3.5
Mixed numbers are typed as a fraction or a decimal.Lesson: SAT: Typing your answer →
Negative answers
−23 → -2/3
Lesson: SAT: Typing your answer →

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