AFOQT Math Knowledge STUDY SET | 200+
QUESTIONS & 100% CORRECT SOLUTIONS
Triangle inequality theorem - ✔✔states that the sum of any two sides of a triangle
must be greater than the third side
Third-side rule of triangles - ✔✔three sides, a, b, c. c-b < a < c+b
Pythagorean Theorem - ✔✔The relatioship between the sides of a right triangle is a2
+ b2 = c2 (all squared) where c is the hypotenuse and is across from the right angle.
Right triangle with angle measurements 90-45-45 - ✔✔Special right triangle. the
hypotenuse is equal to the square root of 2x
Right triangle with angle measurments 90-60-30 - ✔✔Special right
trianlge.hypotenuse is 2x. the short side is x and the long side is square root of 3x
Quadrilaterals - ✔✔A closed, 4 sided shape. The sum of all 4 sides is always equal to
360. The AREA of quadrilateral is always A= bh (base time height)
Parallelogram - ✔✔A quadrilateral with two pairs of equal side. Two consecutive
sides in a parallelogram are supplementary = 180
Rectangle - ✔✔two pairs of equal sides and four right angles
Kite - ✔✔two pairs of equal sides but the equal sides are consecutive
,Square - ✔✔4 right angles and 4 equal sides
Rhombus - ✔✔4 equal sides. diagonals bisects angles and bisect one another
Trapezoid - ✔✔One pair of sides is parallel
bases have different lengths
Polygons - ✔✔Any closed shape made up of 3 or more line segments. Hexagon = 6,
Octagon = 8
The sum of all exterior angles in a polygon is 360
Finding the sum of the interior angles of polygons - ✔✔(n-2) x 180 where n is the
number of sides the polygon has. To find a single interior angle simply divide the total
interior angles by the # of sides and therefor angles
Apothem - ✔✔the shortest PERPENDICULAR distande from one of the sides to the
center
Area of Polygon - ✔✔A = ap/2 (apothem x perimeter)
finding an interior angle of a polygon - ✔✔(n-2)/n x 180
Area of Circle - ✔✔A = PieRsquared
Volume - ✔✔describes as the amount of cubic units any shape can hold
, Surface area - ✔✔The sum of the areas of the 2 dimensional figures that make up its
shape.
Slant height - ✔✔The distance from the base to the apex along the lateral surface
Prism - ✔✔
Topic - ✔✔The overall subject matter of the passage
How many Feet in a Meter? - ✔✔3.28 feet in 1 Meter
Whole = - ✔✔Part / Percent
Part = - ✔✔Whole x Percent
Slope Intercept From - ✔✔Y = Mx + B; where M is the slope (Rise over Run) and B is
the Y intercept
Standard for of a Linear Equation - ✔✔Ax + By = C; where the x intercept is C/A; the Y
intercept is C/B and the slope is m=-B/A
To find the y intercept simply set x to 0 - ✔✔To Find the X intercept simply set y to 0
To find the slope of a line on a graph - ✔✔Pick two points then plug in there values
into the slope equation
QUESTIONS & 100% CORRECT SOLUTIONS
Triangle inequality theorem - ✔✔states that the sum of any two sides of a triangle
must be greater than the third side
Third-side rule of triangles - ✔✔three sides, a, b, c. c-b < a < c+b
Pythagorean Theorem - ✔✔The relatioship between the sides of a right triangle is a2
+ b2 = c2 (all squared) where c is the hypotenuse and is across from the right angle.
Right triangle with angle measurements 90-45-45 - ✔✔Special right triangle. the
hypotenuse is equal to the square root of 2x
Right triangle with angle measurments 90-60-30 - ✔✔Special right
trianlge.hypotenuse is 2x. the short side is x and the long side is square root of 3x
Quadrilaterals - ✔✔A closed, 4 sided shape. The sum of all 4 sides is always equal to
360. The AREA of quadrilateral is always A= bh (base time height)
Parallelogram - ✔✔A quadrilateral with two pairs of equal side. Two consecutive
sides in a parallelogram are supplementary = 180
Rectangle - ✔✔two pairs of equal sides and four right angles
Kite - ✔✔two pairs of equal sides but the equal sides are consecutive
,Square - ✔✔4 right angles and 4 equal sides
Rhombus - ✔✔4 equal sides. diagonals bisects angles and bisect one another
Trapezoid - ✔✔One pair of sides is parallel
bases have different lengths
Polygons - ✔✔Any closed shape made up of 3 or more line segments. Hexagon = 6,
Octagon = 8
The sum of all exterior angles in a polygon is 360
Finding the sum of the interior angles of polygons - ✔✔(n-2) x 180 where n is the
number of sides the polygon has. To find a single interior angle simply divide the total
interior angles by the # of sides and therefor angles
Apothem - ✔✔the shortest PERPENDICULAR distande from one of the sides to the
center
Area of Polygon - ✔✔A = ap/2 (apothem x perimeter)
finding an interior angle of a polygon - ✔✔(n-2)/n x 180
Area of Circle - ✔✔A = PieRsquared
Volume - ✔✔describes as the amount of cubic units any shape can hold
, Surface area - ✔✔The sum of the areas of the 2 dimensional figures that make up its
shape.
Slant height - ✔✔The distance from the base to the apex along the lateral surface
Prism - ✔✔
Topic - ✔✔The overall subject matter of the passage
How many Feet in a Meter? - ✔✔3.28 feet in 1 Meter
Whole = - ✔✔Part / Percent
Part = - ✔✔Whole x Percent
Slope Intercept From - ✔✔Y = Mx + B; where M is the slope (Rise over Run) and B is
the Y intercept
Standard for of a Linear Equation - ✔✔Ax + By = C; where the x intercept is C/A; the Y
intercept is C/B and the slope is m=-B/A
To find the y intercept simply set x to 0 - ✔✔To Find the X intercept simply set y to 0
To find the slope of a line on a graph - ✔✔Pick two points then plug in there values
into the slope equation
