maths N5 Flashcards
what is the linear scale factor
LSF = new length
—————
original length
what is the area scale factor
( new ) 2
—-
old
what is volume scale factor
new
( —— ) 3
old
what are the features of y = sinx
• maximum of 1 at 90 degrees
• minimum of -1 at 279 degrees
• amplitude of 1
• period of 360 degrees
what are the features of y = cosx
• maximum of 1 at 0 degrees and 360 degrees
• minimum of -1 at 180 degrees
• amplitude of 1
• period of 360 degrees
features of y = tanx
• undefined at 90 degrees and 270 degrees
• no maximum or minimum
• period of 360 degrees
what is b
No. of waves between 0* and 360*
what is a
amplitude
what does c mean in trig graphs
the shift up or down
what does n mean in standard deviation
no. if scores
what does x mean in standard deviation
mean
i gay does the size of the standard deviation mean
the smaller the deviation is the more tightly grouped the data is = the data is more consistent
and the opposite applys
whsy is the phase angle
the amount a graph has been shifted to the right or left
what is the upper quartile range
the median of the upper half Q3
what is the lower quartile
the median of the lower half Q1
what is the sum of interior angles
(n-2) x 180
what is the sum of the exterior angle
360 divided by n
what is the sum for interior angle
180 - exterior angle
what is the sine rule for sides
a b c
—— = —— = ——
sinA sinB sinC
what is the sine rules for angles
sinA sinB sinC
—— = —— = ——
a b c
what is the cosine rule for sides
a2 = b2 + c2 - 2bcosA
what is the cosine rules for missing angles
b2 + c2 - a2
cosA = ———————
2bc
how do you calculate a % increase
difference
————— = 100
original
how do you calculate compound interest
calculate multiple (100-+%)
quantity x multiplier
round appropriately
how do you factorise trinomials
what multiplies to give the last term
what adds to give the middle term
how do you calculate volume of a cylinder
pir2h
how do you calculate the volume of a sphere
4/3pir3
how do you add and subtract common denominator
kiss -> crops multiply
smile -> multiply denominators
add/ subtract numerators and simplify
what is the nature of the roots if the discriminant is greater than 0
2 real and distinct roots
what is the nature of the roots of the discriminant = 0
2 real + equal roots
what is the nature of the roots if the discriminant is less than 0
no real roots
