maths formulas Flashcards
What is anything to the power of 0?
1
x^a+x^b=?
x^a+b
y^a/Y^b=?
y^a-b
a^-1=?
1/a
What is the range for numbers in standard form?
higher than 1 and lower than 10
What is the area of a parallelogram
A=b*h
Area of a trapezium
A=(a+b)/2 *h
What are discrete values
only a set amount
what are continous values
any value
how to calculate upper quartile, lower quartile and interquartile
upper= 3/4 *total
lower= 1/4 *total
interquartile= upper-lower
How to draw a box plot
draw 1st line at the lower quartile, 2nd line at the median and the 3rd line at the upper quartile
What does a small interquartile range show
it shows that the frequency is more consistent
how to calculate percentage change
% change= actual change/ original amount *100
What is simple interest
same interest every year
What is a perpendicular bisector
a line that cuts another line in half at right angles. To calculate the perpendicular bisector of a line open your compass to around half the size of the line and draw an arc from each end point then draw a straight line from the points where the arcs meet
what is an angle bisector
cuts an angle in half. To calculate the angle bisector draw the angle using a protractor and draw an arc using a compass from the angle point. Mark the points on the lines where your arc meets and draw another arc from each point. Draw a straight line where these 2 arcs meet (should be middle of angle)
What is the perpendicular distance
the shortest distance from a point to a line
what is a linear nth term
going up by the same value each time
what do the circles represent on inequality line graphs
coloured in circles can be equal to, greater than or less than
empty circles are just greater than or less than
inequality signs
< less than
> greater than
≤ less than/equal to
≥ greater than/equal to
How to calculate direct proportion
A∝B
A=KB
K=A/B
K= constant
How to calculate inverse proportion
y∝1/x
y=k/x
K=A*B
What is the circumference of a circle
The circumference refers to the distance around a full circle, or the 360 degree arc of a circle
C=πD
where D= diameter
How to calculate arc length
arc length= angle of sector/360 πD
or
arc length= angle of sector/360 2π*r
where r= radius
what is the volume of a cylinder
volume= πr^2h
what is the surface area of a prism
2A+PD
(area of shape2) + (perimeterdepth)
what is the surface area of a cylinder
surface area= 2(πr^2)+2πrh
