OAE Mathematics 27
Exam Questions
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Latest Updated 2026
,Rational Numbers
Any number that can be expressed as a fraction with the numerator as an
integer and the denominator is a non-zero integer
Irrational Number
Any non-terminating, non-repeating number that cannot be expressed as a
fraction (Ex: pi)
Real Number
Any number that can fall into the above categories
Complex Number
Any number that contains the imaginary number i, where i= square root of
negative 1
Greatest Common Factor (GCF)
The greatest number that will divide evenly into each natural number. Also called
Greatest Common Divisor
,Least Common Multiple
Lowest number that is a multiple of each number
Weighted Mean
Weighted values (w₁, w₂, w₃,...) assigned to members of the set (x₁, x₂, x₃,...)
=(w₁x₁
+ ... + wⁿxⁿ)/(w₁ +..+ wⁿ)
Sum of Two Cubes
x³+y³= (x+y)(x²-xy+y²)
Difference between Two Cubes
x³-y³= (x-y)(x²+xy+y²)
Absolute Value and Inequality Rules
|ax+b|<c -> -c<ax+b<c
|ax+b|>c ->ax+b<-c or ax+b>c
Quadratic Formula
-b±√(b²-4ac)/(2a)
Intersect
Exactly 1 solution that satisfies both equations. Represented by a single point
where two lines intersect on a graph
, Coincident
An infinite number of solutions that satisfy both equations. It is represented by a
single line, since all points are on both equations
Parallel
No solutions satisfy both equations
Cartesian Coordinate Plane Quadrants
II I
III IV
Standard Form of Line
Ax + By = C
Slope= -A/B
Y-intercept=C/B
Slope Intercept Form
y=mx+b
Point Slope Form
y-y₁=m(x-x₁)
m= slope
(x₁,y₁) is a
point
Exam Questions
Provided with A+
Graded Answers |
Latest Updated 2026
,Rational Numbers
Any number that can be expressed as a fraction with the numerator as an
integer and the denominator is a non-zero integer
Irrational Number
Any non-terminating, non-repeating number that cannot be expressed as a
fraction (Ex: pi)
Real Number
Any number that can fall into the above categories
Complex Number
Any number that contains the imaginary number i, where i= square root of
negative 1
Greatest Common Factor (GCF)
The greatest number that will divide evenly into each natural number. Also called
Greatest Common Divisor
,Least Common Multiple
Lowest number that is a multiple of each number
Weighted Mean
Weighted values (w₁, w₂, w₃,...) assigned to members of the set (x₁, x₂, x₃,...)
=(w₁x₁
+ ... + wⁿxⁿ)/(w₁ +..+ wⁿ)
Sum of Two Cubes
x³+y³= (x+y)(x²-xy+y²)
Difference between Two Cubes
x³-y³= (x-y)(x²+xy+y²)
Absolute Value and Inequality Rules
|ax+b|<c -> -c<ax+b<c
|ax+b|>c ->ax+b<-c or ax+b>c
Quadratic Formula
-b±√(b²-4ac)/(2a)
Intersect
Exactly 1 solution that satisfies both equations. Represented by a single point
where two lines intersect on a graph
, Coincident
An infinite number of solutions that satisfy both equations. It is represented by a
single line, since all points are on both equations
Parallel
No solutions satisfy both equations
Cartesian Coordinate Plane Quadrants
II I
III IV
Standard Form of Line
Ax + By = C
Slope= -A/B
Y-intercept=C/B
Slope Intercept Form
y=mx+b
Point Slope Form
y-y₁=m(x-x₁)
m= slope
(x₁,y₁) is a
point
