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Formula Sheet Flashcards

(52 cards)

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1
Q

Formula for area of circle

A

Area=pie x radius squared

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2
Q

Formula for volume of cuboid

A

Volume= length x width x height

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3
Q

Triangle for sin

A

O
S. H

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4
Q

Triangle for mass density and volume

A

M
D. V

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5
Q

Formula for estimation or expectation (probability)

A

E= probability x number of trials

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6
Q

Formula for formula for exterior angle of a polygon

A

360 / n

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7
Q

Formula for area of a rectangle

A

Length x width

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8
Q

DOTS

A

square root of each number 2 brackets 1 plus 1 minus

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9
Q

What is the gradient

A

Number before x

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10
Q

Formula for area of triangle

A

Base x height / 2

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11
Q

Formula for circumference of circle

A

C= pi x diameter OR 2 x pie x radius
DO NOT WRITE TIMES SIGN AND USE LOWECASE

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12
Q

Formula (side) and when When do you use the cosine rule

A

Non- right angled triangle (SAS)
A squared = b squared + c squared -2bc cosA

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13
Q

Formula for sum of interior angles of polygon

A

(N-2) x 180

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14
Q

Formula cosine rule (angle)

A

CosA = b squared + c squared - a squred
2bc

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15
Q

Formula for volume of triangular prism

A

Base x height / 2 x length

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16
Q

Formula for area of ANY triangle

A

1/2 x a x b x sin x C
DONT USE TIMES SIGN

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17
Q

Formula for sine rule (side) and when do u use

A

A/sinA = B/sinB
Non right angles triangle (NOT SAS)

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18
Q

Formula for area of parallelogram

A

A= base x height

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19
Q

Formula for area of trapezium

A

A = (a+b) /2 x height

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20
Q

Formula for volume of cylinder

A

Pi x radius squared x length

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21
Q

Formula for volume of prism

22
Q

Quadratic n term

Study These Flashcards
A

2nd difference= 2a
First difference=3a+b
First term=a + b + c

Nth term rule an squared +bn +c

23
Q

Triangle for tan

24
Q

Triangle for speed distance time

25
Triangle for cos
A C. H
26
% 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)
27
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
28
Trigonometry sides
Opposite right angle- hypotenuse Opposite angle- opposite Other one -adjacent
29
% multiplier for decrese
Eg 65% X0.35 2% X0.98 2.5% X0.975
30
Formula for % chnage
Actual chnage/ original x 100
31
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
32
Quadratic formula
-b +/- square root b squared - 4ac 2a
33
Formula for curved surface area of a cylinder
Csa = 2piradius x length
34
Formula for mean (frequency table)
Mean = sum ‘fx’ / sum ‘f’
35
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)
36
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
37
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
38
formula for trigonometry
L CT CF S C
39
Formula for short side (Pythagoras)
S S D SR
40
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)
41
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
42
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
43
CIRCLE LABELS
top one is tangent Next diameter Next chord Next segment Next radius
44
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
45
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
46
EVALUATING FRACTION POWERS
ROOT BY THE DENOMINATOR POWER BY THE NUMERATOR AND FLIP INTO FRACTION IS -
47
EVALUATING WITH NEGATIVE PEORRS
EG 5^-2 = 1/25 ANYTHING TO POWER OF 0 IS 1
48
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
49
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)
50
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
51
MULTIPLYING
TRIPLE CHECK UR ANSWER
52
Hpw to favtorise harder quadratics
MULTIPLY A BY C LEAVE B AS IT IS A TURNS INTO JUST X SQUARED FACTORISE THAT NORMALLY THEN WEITE A DENOMINATIOR OF THE COEFFICIENT UNDER THE NUMBERS SIMPLIFY IF POSSIBLE IF ALREADY SIMPLIFIED TAKE DENOMINATOR AND MOVE INFRONT OF X EG 7x squared+20x-3 7-3=-21 X sayared + 20x-21 Favtorise normally (X+21) (x-1) Write oringinal denom under (X+21) (x-1) 7. 7 Simplify whats possible (X+3) (x-1) 7 If aready simplified write denomintor infrokt of x (X+3) (7x-1)

Maths (4 decks)

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