futher maths Flashcards
what is the equation for gradient
gradient=m=Y2-Y1
X2-X1
name the 2 equations of a straight line (advanced and basic)
Y-Y1=m(X-X1) Y=mx+c
what are lines with the same gradient
parralel
what is the equation to find the mid points if 2 coordinates
stack em, add em, HALF EM
Area of a circle
πr2
What is the origins coordinates
(0,0)
how do you calculate the circumference
2πr or πd
how do you get the HCF
times all numbers in the middle of the venn diagram
how do you get the LCM
Times all the numbers in the venn diagram together
How do you solve quadratics
make one side equal to zero
area of a triangle
(basexheight)➗2
whats is pythoraus theorm
A2+B2=C2
If a fraction is equal to a fraction what should you do
Cross multiply the numerators with the denominates
what is the formula for percentage change
new-old X100
old
when finding hypotenuse what should you type into calculator
√a2+b2=c2
when finding a short side what should you type into calculator
√c2-(a/b)2
what is 14 squared
169
what is 15 squared
196
finish these pythagorien triples: 5,__,13 ,8,10 3,,5
5,12,13 6,8,10 3,4,5
finish these pythagorien triples: 8,__,17 15,20,__ 12,__,20
9,__,15
8,15,17 15,20,25 12,16,20 9,12,15
what is the perpendicular gradient of 5
4
_4
5
what is the perpendicular gradient of 6
-1
6
what is the perpendicular gradient of -3
2
2
3
what is the area of a semicircle
πr2
2
what is an ark
a segment of the circumference
what is a cord
a line that goes straight from one point of the circumference to the other without going through the centre
F (corresponding) angles are…
equal
Z (alternative angles are…
equal
C (co interior) angles…
add to 180
opposite angles are…
equal
In a quadratic the highest power is…
2
A D.O.T.S equation stands for and is
Difference of two squares. for example x2-25=(x-5)(x+5)
what would the multiplier be to increase by 116%
1.16
what would the multiplier be to increase by 78%
0.78
is simple interest calculated on your original investment
Yes
is Compound interest calculated on your original investment
No, it adapts with the amount of interest you receive
what does depreciates mean
reduction of value over time
what does per annum mean
per year
How would £120 be calculated with 30% compound interest
120x1.30{3}
