Formula Sheet Flashcards
Formula for area of circle
Area=pie x radius squared
Formula for volume of cuboid
Volume= length x width x height
Triangle for sin
O
S. H
Triangle for mass density and volume
M
D. V
Formula for estimation or expectation (probability)
E= probability x number of trials
Formula for formula for exterior angle of a polygon
360 / n
Formula for area of a rectangle
Length x width
DOTS
square root of each number 2 brackets 1 plus 1 minus
What is the gradient
Number before x
Formula for area of triangle
Base x height / 2
Formula for circumference of circle
C= pi x diameter OR 2 x pie x radius
DO NOT WRITE TIMES SIGN AND USE LOWECASE
Formula (side) and when When do you use the cosine rule
Non- right angled triangle (SAS)
A squared = b squared + c squared -2bc cosA
Formula for sum of interior angles of polygon
(N-2) x 180
Formula cosine rule (angle)
CosA = b squared + c squared - a squred
2bc
Formula for volume of triangular prism
Base x height / 2 x length
Formula for area of ANY triangle
1/2 x a x b x sin x C
DONT USE TIMES SIGN
Formula for sine rule (side) and when do u use
A/sinA = B/sinB
Non right angles triangle (NOT SAS)
Formula for area of parallelogram
A= base x height
Formula for area of trapezium
A = (a+b) /2 x height
Formula for volume of cylinder
Pi x radius squared x length
Formula for volume of prism
V= ACSxL
Quadratic n term
2nd difference= 2a
First difference=3a+b
First term=a + b + c
Nth term rule an squared +bn +c
Triangle for tan
O
T. A
Triangle for speed distance time
D
S. T
Triangle for cos
A
C. H
% multipler for increase
Eg 17%
X1.17
20%
X1.20
5.5%
X1.055
If two digits, then decimal place then one digit, then it would be 1.456 (45.6)
If one digit then decimal place then one digit then it would be 1.078 (7.8)
Perpendicular gradient to line
Do opposite sign to whatever number before x
And if its not a fraction turn it into one eg 1/2x=-2. -3x=1/3
Trigonometry sides
Opposite right angle- hypotenuse
Opposite angle- opposite
Other one -adjacent
% multiplier for decrese
Eg 65%
X0.35
2%
X0.98
2.5%
X0.975
Formula for % chnage
Actual chnage/ original x 100
Divide fractions
KFC
STOP TIMING THE DENOMINATOR EG
2 1/2 /. 3 1/2
5/2 /. 7/2
5/2 x 2/7 =10/14
Quadratic formula
-b +/- square root b squared - 4ac
2a
Formula for curved surface area of a cylinder
Csa = 2piradius x length
Formula for mean (frequency table)
Mean = sum ‘fx’ / sum ‘f’
What is the graident and y intercept for eg 5y=10x-15
Simpligy by diving by comkon factor
/5
Y=2x-3
So gradient is 2 and y intercept is (0,-3)
Factorising
2 TERMS = 1 BRACKET (EXCEPT DOTS)
3 TERME = 2 BRACEKETS
2 brackets- add to the number infront of x
Times to the mumber at the end
1 bracket common HCF
SIMPLIFYING
Divide or times the big Numbers, by themselves, ignoring everything else
Then do the power of 1 Letter take away or plus the power of the same letter
Do this for all letters
REMEBER IF THERE IS NO SIGN BETWENE THE TERMS THEN IT IS 1 TERM TOGETHER
formula for trigonometry
L
CT
CF
S
C
Formula for short side (Pythagoras)
S
S
D
SR
Simplifying same babes with powers
If its x then add the powers eg 5 (4) x 5(6)=5 (10)
If its / then take away powers rg 10(4) /10(7)=10(-4)
If its brackets then times powers eg (5 ^4)^4 =5(16)
SOLVING CLASS WIDTHS
SOLVE LIKE REGULAR EWUATION THEN RELACE = WITH CROC MOUTHS
EG
-5<_ 2a-1<9
+1
-4<_2a<10
/2
-2<_a<5
HOW TO REPRESENT CLASS WIDTH ON NUMBER LINE
2 circles
Ome on the number before a and one on the number after a
If ome sign is or equal to then colour in the correlating cirlce leave other one white
CIRCLE LABELS
top one is tangent
Next diameter
Next chord
Next segment
Next radius
DIVING OR TIMSING STANDARD FORM 2 BRACKETS
DIVISION IN ANDWER TURNS INTO X!!!!
Divide or times whole numbers by eachother
Divide or times the powers by eachothet
Chnage ur andwer to standard form so between 1-10
Eg
(1.2x10 ^-9) / (4.0x10^4)
1.2/4=0.3
10^-9 / 10^4= 10^-13
0.3 x 10^-13
3.0x 10^-14
QUESTIOM 66 SOLVE EWUATION USING FACTORISING
X^2 -6x +5=0
3 TERMS 2 BRACKETS
(X-5) (x-1)=0
X= 5 or X=1
TIMES TO LAST NUMBER
IGNORE THE MINUS SIGNS IF ANY
UR ANSWER WOULD BE OPPOOSITE SIGN TO WHSTS IN BRSCKET
EVALUATING FRACTION POWERS
ROOT BY THE DENOMINATOR POWER BY THE NUMERATOR AND FLIP INTO FRACTION IS -
EVALUATING WITH NEGATIVE PEORRS
EG 5^-2 = 1/25
ANYTHING TO POWER OF 0 IS 1
CHANGING NUMBERS INTO STANDARD FORM
BIG NUMBER TUNRING SMALLER HAS POSITIVE POWER OF 10
SMALL NUMBER TUNRING BIGGER HAS A NEGATIVE POWER OF 10
1-10 x10 ^ -/+ power
Gradient and y intercept
Y=MX+B
MAKE Y THE SUBJECT SO DO INVERSE TO EVERYTHING ELSE ON THE SAME SIDE
DIVIDE BY TBE NUMBER INFRONT OF Y
Gradient is (M)
Y intercept is (B)
COMPLETE THE SWUARE
TAKE SQUARED OFF X
HALF THE NUMBER INFRONT OF X
PUT IN BRAKCETS
PUT SQUARE AROUND BRACKETS
MINUS WHATEVER THE SECOND NUMBER IS SQUARED
EG -6)^2=-36
MINUS IR ADD THE REMAINING NUMBER IN ORIGNINAL EQUATION
SIMPLIFY
MULTIPLYING
TRIPLE CHECK UR ANSWER
