SAT MATH EXAM COMPLETE
QUESTIONS WITH CORRECT
SOLUTIONS||100% GUARANTEED
PASS||UPDATED 2026/2027
SYLLABUS||<<NEWEST VERSION>>
what is the relationship between a radius of a circle and a line that is tangent to the
circle? - ANSWER ✓ A tangent line is always perpendicular to the radius
formula for the volume of a rectangular solid and a cube - ANSWER ✓ Cube:
V=side³ Rectangular solid: l*w*h
the formula for the surface area of a rectangular solid and a cube - ANSWER ✓
2(area of base) + (base perimeter)(height of prism)
formula for the volume of a PYRAMID or CONE - ANSWER ✓ V=1/3BH
how do you find the x-intercepts and the y-intercepts of a graph? - ANSWER ✓
Substitute them for zero
midpoint formula - ANSWER ✓ (X1 + X2)/2 and (Y1 + Y2)/2
distance formula - ANSWER ✓ d = √[( x₂ - x₁)² + (y₂ - y₁)²]
fundamental counting principle - ANSWER ✓ if an event can happen in N ways,
and another, independent event can happen in M ways, then both events together
can happen in N x M ways.
probability - ANSWER ✓ probability = number of desired outcomes / number of
total outcomes
adding exponents - ANSWER ✓ x^a · x^b = x^(a+b)
,subtracting exponents - ANSWER ✓ x^a / x^b = x^(a-b)
negative exponents - ANSWER ✓ 1 / x^b = x^(-b)
multiplying exponents - ANSWER ✓ (x^a)^b = x^(a·b)
x^0 - ANSWER ✓ 1
roots - ANSWER ✓ √(xy) = √x · √y
FOIL - ANSWER ✓ (x+a)(x+b) = x^2 + (b+a)x + ab
difference of squares - ANSWER ✓ a^2 -b^2 = (a+b)(a-b)
a^2 + 2ab + b^2 - ANSWER ✓ (a+b)^2
a^2 - 2ab + b^2 - ANSWER ✓ (a-b)(a-b)
distance formula - ANSWER ✓ √[(x₂- x₁)^2 + (y₂- y₁)^2)]
mid-point formula - ANSWER ✓ [(x₁+ x₂)/2 , (y₁+ y₂)/2]
intersecting lines - ANSWER ✓ opposite angles are equal (each pair of angles
along the same line add to 180 degrees)
area of triangle - ANSWER ✓ area = (1/2)bh
angles of triangle - ANSWER ✓ add up to 180 degrees
length of triangle sides - ANSWER ✓ length of 1 side is always less than the sum
of the other 2
equilateral - ANSWER ✓ three equal sides, all angles = 60 degrees
isosceles - ANSWER ✓ 2 equal sides, 2 equal angles
, similar - ANSWER ✓ same shape, corresponding angles are equal, corresponding
sides are in proportion
circle area - ANSWER ✓ pi · r^2
circle circumference - ANSWER ✓ 2 · pi · r
full circle - ANSWER ✓ = 360 degrees
length of arc - ANSWER ✓ (n degree / 360 degrees) · 2 · pi · r
area of sector - ANSWER ✓ (n degree / 360 degrees) · pi · r^2
rectangle area - ANSWER ✓ area = lw
parallelogram area - ANSWER ✓ area = lh
rectangular solid volume - ANSWER ✓ volume = lwh
right cylinder volume - ANSWER ✓ volume = pi · r^2 · h
Quadratic Formula - ANSWER ✓ Quadratic Formula:
Function - ANSWER ✓ A given input, sent through the function, produces a
given output. f(x) = y
a -> f -> b
Multiple inputs can ONLY produce ONE output
Perfect Square - ANSWER ✓ In a polynomial expression, two numbers that add
to equal the ax term and multiply to equal the b term.
x(squared) + ax + b
Completing the Square - ANSWER ✓ In x (squared) + ax + b, where b is
unknown, find b by taking half of a and squaring that answer. Add b to the
opposite side of the equation so that it stays equivalent.
QUESTIONS WITH CORRECT
SOLUTIONS||100% GUARANTEED
PASS||UPDATED 2026/2027
SYLLABUS||<<NEWEST VERSION>>
what is the relationship between a radius of a circle and a line that is tangent to the
circle? - ANSWER ✓ A tangent line is always perpendicular to the radius
formula for the volume of a rectangular solid and a cube - ANSWER ✓ Cube:
V=side³ Rectangular solid: l*w*h
the formula for the surface area of a rectangular solid and a cube - ANSWER ✓
2(area of base) + (base perimeter)(height of prism)
formula for the volume of a PYRAMID or CONE - ANSWER ✓ V=1/3BH
how do you find the x-intercepts and the y-intercepts of a graph? - ANSWER ✓
Substitute them for zero
midpoint formula - ANSWER ✓ (X1 + X2)/2 and (Y1 + Y2)/2
distance formula - ANSWER ✓ d = √[( x₂ - x₁)² + (y₂ - y₁)²]
fundamental counting principle - ANSWER ✓ if an event can happen in N ways,
and another, independent event can happen in M ways, then both events together
can happen in N x M ways.
probability - ANSWER ✓ probability = number of desired outcomes / number of
total outcomes
adding exponents - ANSWER ✓ x^a · x^b = x^(a+b)
,subtracting exponents - ANSWER ✓ x^a / x^b = x^(a-b)
negative exponents - ANSWER ✓ 1 / x^b = x^(-b)
multiplying exponents - ANSWER ✓ (x^a)^b = x^(a·b)
x^0 - ANSWER ✓ 1
roots - ANSWER ✓ √(xy) = √x · √y
FOIL - ANSWER ✓ (x+a)(x+b) = x^2 + (b+a)x + ab
difference of squares - ANSWER ✓ a^2 -b^2 = (a+b)(a-b)
a^2 + 2ab + b^2 - ANSWER ✓ (a+b)^2
a^2 - 2ab + b^2 - ANSWER ✓ (a-b)(a-b)
distance formula - ANSWER ✓ √[(x₂- x₁)^2 + (y₂- y₁)^2)]
mid-point formula - ANSWER ✓ [(x₁+ x₂)/2 , (y₁+ y₂)/2]
intersecting lines - ANSWER ✓ opposite angles are equal (each pair of angles
along the same line add to 180 degrees)
area of triangle - ANSWER ✓ area = (1/2)bh
angles of triangle - ANSWER ✓ add up to 180 degrees
length of triangle sides - ANSWER ✓ length of 1 side is always less than the sum
of the other 2
equilateral - ANSWER ✓ three equal sides, all angles = 60 degrees
isosceles - ANSWER ✓ 2 equal sides, 2 equal angles
, similar - ANSWER ✓ same shape, corresponding angles are equal, corresponding
sides are in proportion
circle area - ANSWER ✓ pi · r^2
circle circumference - ANSWER ✓ 2 · pi · r
full circle - ANSWER ✓ = 360 degrees
length of arc - ANSWER ✓ (n degree / 360 degrees) · 2 · pi · r
area of sector - ANSWER ✓ (n degree / 360 degrees) · pi · r^2
rectangle area - ANSWER ✓ area = lw
parallelogram area - ANSWER ✓ area = lh
rectangular solid volume - ANSWER ✓ volume = lwh
right cylinder volume - ANSWER ✓ volume = pi · r^2 · h
Quadratic Formula - ANSWER ✓ Quadratic Formula:
Function - ANSWER ✓ A given input, sent through the function, produces a
given output. f(x) = y
a -> f -> b
Multiple inputs can ONLY produce ONE output
Perfect Square - ANSWER ✓ In a polynomial expression, two numbers that add
to equal the ax term and multiply to equal the b term.
x(squared) + ax + b
Completing the Square - ANSWER ✓ In x (squared) + ax + b, where b is
unknown, find b by taking half of a and squaring that answer. Add b to the
opposite side of the equation so that it stays equivalent.
