ACT Math General Knowledge. Exam Questions and Correct Answers With
100% Correct Answers | Latest 2026 |
ellipse equation - (x-h)^2/a^2+(y-k)^2/b^2=1
a and b in the ellipse equation - a is the x radius and b is the y radius
law of cosines - a^2=b^2+c^2-2bcCosA
angle A in the law of cosines equation is - the angle opposite side a
law of sines - sinA/a=sinB/b=sinC/c
angle B in the law of sines equation is - the angle opposite side b
angle C in the law of sines equation is - the angle opposite side c
before finding area or volume make sure to - convert the values to the correct unit
vectors are added or subtracted - tip to tail
i for vectors is the - x component
j for vectors is the - y component
n!= - n(n-1)(n-2)(n-3)...(2)(1)
, example of factorial: 5! - 5x4x3x2x1
repeating powers - find the pattern for the ones place for a number raised to increasing
patterns then divide the power you are trying to find information about by the numbers in the
sequence. Round to the nearest number of that then multiply by that same number. Find the pattern
of that number then count up in the pattern to the power you're trying to find
b^2-4ac>0 - 2 real solutions
b^2-4ac=0 - 1 real solution
b^2-4ac<0 - 0 real, 2 complex (imaginary)
30, 60, 90 side lengths - x, xsqrt3, 2x
45, 45, 90 - x, x, xsqrt2
sum of interior angles of a shape - 180(n-2)
kite area - 1/2lw
cube volume - s^3
right cylinder volume - pir^2h
area of equilateral triangle - s^2sqrt3/4
100% Correct Answers | Latest 2026 |
ellipse equation - (x-h)^2/a^2+(y-k)^2/b^2=1
a and b in the ellipse equation - a is the x radius and b is the y radius
law of cosines - a^2=b^2+c^2-2bcCosA
angle A in the law of cosines equation is - the angle opposite side a
law of sines - sinA/a=sinB/b=sinC/c
angle B in the law of sines equation is - the angle opposite side b
angle C in the law of sines equation is - the angle opposite side c
before finding area or volume make sure to - convert the values to the correct unit
vectors are added or subtracted - tip to tail
i for vectors is the - x component
j for vectors is the - y component
n!= - n(n-1)(n-2)(n-3)...(2)(1)
, example of factorial: 5! - 5x4x3x2x1
repeating powers - find the pattern for the ones place for a number raised to increasing
patterns then divide the power you are trying to find information about by the numbers in the
sequence. Round to the nearest number of that then multiply by that same number. Find the pattern
of that number then count up in the pattern to the power you're trying to find
b^2-4ac>0 - 2 real solutions
b^2-4ac=0 - 1 real solution
b^2-4ac<0 - 0 real, 2 complex (imaginary)
30, 60, 90 side lengths - x, xsqrt3, 2x
45, 45, 90 - x, x, xsqrt2
sum of interior angles of a shape - 180(n-2)
kite area - 1/2lw
cube volume - s^3
right cylinder volume - pir^2h
area of equilateral triangle - s^2sqrt3/4
