SAT Math Refresher
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8/12/2019 SAT Math Refresher
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3. GEOMETRY (continued)
5. PROBABILITY AND STATISTICS
4. COORDINATE GEOMETRY
The mode is the value that occurs most frequently in a set of numbers. Mode
Median The median is the middle value in an ordered set of numbers.
Mean
The mean is the sum of the numbers
divided by the number of values in the set.
Combinations
Permutations
Factorial
Fundamental Counting Principle
If one event can occur in M ways and another
event can occur in N ways, then the total numberof ways both events can occur is MN .
Geometric Probability
Odds
Independent Events Dependent Events
Probability of an Event
Slope-Intercept Form Point-Slope Form
Vertical Shift
Horizontal Shift
Linear Functions
x -intercept: y -intercept:
intercept intercept
x
y
The product of the slopes ofperpendicular lines is -1
Perpendicular Lines
Parallel lines
Parallel lines have the sameslope
Quadratic Functions
- parabola opens upwards
- parabola opens downwards
y
x
DistanceFormula
MidpointFormula
The Coordinate Plane
Quadrant 1
(+,+)
Quadrant 4
(+,)
Quadrant 3
(,)
Quadrant 2
(,+)
x
y
triangle
rectangle
square
Perimeter
bc
a
Pythagorean Theorem
3
2
1 4
Angles of Triangles PythagoreanTriples
3, 4, 5
6, 8, 10
5, 12, 13
7, 24, 25
8, 15, 17 9, 12, 15
60°60°
60°
Equilateral Triangles
90°
45°
2
45°
45°-45°-90° Triangles
90°
30°
60°
2 3
30°-60°-90° Triangles
Central Angle=
θ θ /2
Circle
Radius=r
Diameter=
Circumference=
Area=
Circle
C
D
O
B
A
Parallelogram
A
C
D
O
B
Rectangle
O
A
C
D
B
45°
= = 2
45°
Square
Solid Volume Surface Area
Rectangular Solid
Cube Right Cylinder
Solids
Slope
rise
x
y
run
2
1 2
1
3 4
Any side of a triangle is shorter than the sum of the two other sides Inequalities in Triangles
In a triangle, the longest side is opposite the largest angle
Triangle
Parallelogram
Rectangle
Square
Trapezoid
Area
