maths revision Flashcards
in HCF with powers , what is the highest common factor?
the lowest power
in LCM with powers , what is the lowest common multiple?
the highest power
in addition and subtraction of algebraic fractions what do you do?
cross multiply, find a common denominator, solve
in multiplication of algebraic fractions what do you do?
times across as normal, solve
in division of algebraic fractions what do you do?
leave, change, flip, times across as normal, solve
in a geometric sequence what does the AR mean?
a=first term and r = common ratio
how do you work out the surface area of parallelogram?
base x perpendicular height
how do you work out the surface area of trapezium?
top and bottom length /2 x height
how do you work out the surface area of cylinder?
2(pie)r squared + 2(pie) r h
how do you work out the surface area of cone?
(pie)r squared + (pie) rl
how do you find a hidden angle when you know the area and radius of a sector?
? divided by 360 x pie x radius squared . go backwards in flow map
how do you find the angle when you know the arc length and the radius of a sector?
? divided by 360 x pie x diameter. go backwards in flow map
in a velocity time graph, what does a line going up mean?
acceleration
in a velocity time graph, what does a straight line mean?
constant speed
in a velocity time graph, how do you find distance travelled?
area under the graph
in a velocity time graph, how do find acceleration?
acceleration = speed change divided by time
what does y = x squared look like on a graph?
an upwards v shape
what does y =-x squared look like on a graph?
an upside down v shape
what does y= 1 divided by x look like on a graph?
symmetrical l shapes opposite each other
what does it mean when the line doesn’t/ cant touch the axis?
asymptote
what does y=2x look like on a graph?
straight line along the x axis that eventually goes up
what does y= e to the power of x look like on a graph?
an asymptote line to the x axis that passes through one then gradually goes up
when you need to divide and find the lower bound, what do you do?
divide lower by upper
when you need to divide and find the upper bound, what do you do?
divide upper by lower
when you need to subtract and find the lower bound, what do you do?
lower - upper
when you need to subtract and find the upper bound, what do you do?
upper - lower
how do you rationalise a surd denominator?
x the numerator and denominator by the surd on the bottom and if there’s a sign change the sign
