ACT Prep 2024 REVISION QUESTIONS
AND ANSWERS
Circumference of a circle - Answer - 2πr
Area of a triangle - Answer - A=(base x height)/2
Area of a trapezoid - Answer - A=(base 1 + base 2)/2 x height
phythagorean theorem - Answer - a^2 + b^2 = c^2
area of a circle - Answer - A=πr²
Volume of a cylinder - Answer - V=πr²h
sector - Answer - fraction of area of circle
x/aπ = 45/360
x/aπ = 1/8
8x = aπ
x=a/8 π
arc - Answer - fraction of circumference
x/aπ = 45/360
x/aπ = 1/8
8x = aπ
x = 3/4 π
area of a parallelogram - Answer - A=bh
, Volume of a sphere - Answer - 4/3πr³
equation of a circle - Answer - (x-h)²+(y-k)²=r²
(h,k) = center
radians to degrees - Answer - multiply by 180/π
eg: 3π/2 x 180/π=270 degrees
degrees to radians - Answer - multiply by π/180
270 x π/180=3π/2
sin - Answer - sine= opposite/hypotenuse
cos - Answer - cos=adjacent/hypotenuse
tan - Answer - tan=opposite/adjacent
unit circle - Answer - a circle with a radius of 1 = to hypotenuse
difference of cubes - Answer - x³ - y³ = (x - y)(x² + xy + y²)
sum of cubes - Answer - x³ + y³ = (x + y)(x² - xy + y²)
difference of squares - Answer - x² - y² = (x + y)(x - y)
a^2 + bx + c - Answer - take the factors of a & c that add up to b.
perfect square trinomial - Answer - a trinomial that is the result of squaring a binomial
AND ANSWERS
Circumference of a circle - Answer - 2πr
Area of a triangle - Answer - A=(base x height)/2
Area of a trapezoid - Answer - A=(base 1 + base 2)/2 x height
phythagorean theorem - Answer - a^2 + b^2 = c^2
area of a circle - Answer - A=πr²
Volume of a cylinder - Answer - V=πr²h
sector - Answer - fraction of area of circle
x/aπ = 45/360
x/aπ = 1/8
8x = aπ
x=a/8 π
arc - Answer - fraction of circumference
x/aπ = 45/360
x/aπ = 1/8
8x = aπ
x = 3/4 π
area of a parallelogram - Answer - A=bh
, Volume of a sphere - Answer - 4/3πr³
equation of a circle - Answer - (x-h)²+(y-k)²=r²
(h,k) = center
radians to degrees - Answer - multiply by 180/π
eg: 3π/2 x 180/π=270 degrees
degrees to radians - Answer - multiply by π/180
270 x π/180=3π/2
sin - Answer - sine= opposite/hypotenuse
cos - Answer - cos=adjacent/hypotenuse
tan - Answer - tan=opposite/adjacent
unit circle - Answer - a circle with a radius of 1 = to hypotenuse
difference of cubes - Answer - x³ - y³ = (x - y)(x² + xy + y²)
sum of cubes - Answer - x³ + y³ = (x + y)(x² - xy + y²)
difference of squares - Answer - x² - y² = (x + y)(x - y)
a^2 + bx + c - Answer - take the factors of a & c that add up to b.
perfect square trinomial - Answer - a trinomial that is the result of squaring a binomial
