Math Formulas Exam Questions and Answers Already Passed
Exterior angles of a regular polygon add up to - Answers 360
sum of interior angles of a polygon - Answers (n-2)180
N- number of sides
if the polygon is regular and has n sides, then each exterior angle.. - Answers = 360/n
If a polygon is "regular," what does that mean? - Answers All angles are the same size and all sides are
the same length.
completing the square - Answers (x+(b/2)^2 + c - (b/2)^2
Exponential decay - Answers P(1-r/100) to the power of t
Area of a sector - Answers x°/360 times (∏r²), where x is the degrees in the angle
Length of an arc - Answers 2πr(xdegrees/360)
Exponentially infers - Answers Compound interest
Real numbers - Answers All rational and irrational numbers
Rational numbers - Answers All positive and negative integers, fractions and decimal numbers.
Irrational numbers - Answers Any real number which cant be expressed as a fraction of two integers
Profit percentage - Answers profit/cost price x 100
Loss percentage - Answers loss/cost price x 100
Area of a circle - Answers A=πr²
Perimeter of a circle - Answers 2πr (circumference)
Area of a semicircle - Answers A=½πr²
Perimeter of semicircle - Answers P = ½ x pi x diameter + diameter
Total surface area for cylinder - Answers 2πrh + 2πr²
Total surface area for cone - Answers Pi x r (l + r)
Surface area of pyramid - Answers Base area + area of the shapes on the sides
Volume of pyramid - Answers 1/3 x area of base x height
Surface area of hemisphere - Answers 2π r²
, Volume of hemisphere - Answers 2/3πr³
Corresponding angles - Answers C shape
Alternate angles - Answers Z shape
Congruent - Answers Having the same size and shape
Similar - Answers Figures that have the same shape but not necessarily the same size
Chord - Answers A line joining two points on a circle
Segment - Answers Area of a circle cut off by a chord
a^-n = - Answers 1/a^n
(axb)^m - Answers a^m x b^m
(a/b)^m - Answers a^m/b^m
(n root a)^m - Answers a^m/n
Root a/b - Answers root a / root b
Angle cosine rule - Answers Cos A = b^2+c^2-a^2/2bc
Gradient - Answers y2-y1/x2-x1
Distance between point A and C (gradient) - Answers Root (x1-x2)^2 + (y1-y2)^2
Midpoint - Answers (x1+x2/2, y1+y2/2)
Perpendicular lines have - Answers negative reciprocal slopes
Reflection state - Answers By what line
Rotation state - Answers Centre of rotation
Direction
By how many degrees
Translation state - Answers Translation vector ( top is horizontal, bottom is vertical)
Enlargement - Answers Centre of enlargement
By what scale factor
Frequency density - Answers Frequency/class width
Exterior angles of a regular polygon add up to - Answers 360
sum of interior angles of a polygon - Answers (n-2)180
N- number of sides
if the polygon is regular and has n sides, then each exterior angle.. - Answers = 360/n
If a polygon is "regular," what does that mean? - Answers All angles are the same size and all sides are
the same length.
completing the square - Answers (x+(b/2)^2 + c - (b/2)^2
Exponential decay - Answers P(1-r/100) to the power of t
Area of a sector - Answers x°/360 times (∏r²), where x is the degrees in the angle
Length of an arc - Answers 2πr(xdegrees/360)
Exponentially infers - Answers Compound interest
Real numbers - Answers All rational and irrational numbers
Rational numbers - Answers All positive and negative integers, fractions and decimal numbers.
Irrational numbers - Answers Any real number which cant be expressed as a fraction of two integers
Profit percentage - Answers profit/cost price x 100
Loss percentage - Answers loss/cost price x 100
Area of a circle - Answers A=πr²
Perimeter of a circle - Answers 2πr (circumference)
Area of a semicircle - Answers A=½πr²
Perimeter of semicircle - Answers P = ½ x pi x diameter + diameter
Total surface area for cylinder - Answers 2πrh + 2πr²
Total surface area for cone - Answers Pi x r (l + r)
Surface area of pyramid - Answers Base area + area of the shapes on the sides
Volume of pyramid - Answers 1/3 x area of base x height
Surface area of hemisphere - Answers 2π r²
, Volume of hemisphere - Answers 2/3πr³
Corresponding angles - Answers C shape
Alternate angles - Answers Z shape
Congruent - Answers Having the same size and shape
Similar - Answers Figures that have the same shape but not necessarily the same size
Chord - Answers A line joining two points on a circle
Segment - Answers Area of a circle cut off by a chord
a^-n = - Answers 1/a^n
(axb)^m - Answers a^m x b^m
(a/b)^m - Answers a^m/b^m
(n root a)^m - Answers a^m/n
Root a/b - Answers root a / root b
Angle cosine rule - Answers Cos A = b^2+c^2-a^2/2bc
Gradient - Answers y2-y1/x2-x1
Distance between point A and C (gradient) - Answers Root (x1-x2)^2 + (y1-y2)^2
Midpoint - Answers (x1+x2/2, y1+y2/2)
Perpendicular lines have - Answers negative reciprocal slopes
Reflection state - Answers By what line
Rotation state - Answers Centre of rotation
Direction
By how many degrees
Translation state - Answers Translation vector ( top is horizontal, bottom is vertical)
Enlargement - Answers Centre of enlargement
By what scale factor
Frequency density - Answers Frequency/class width
