Formula List

Question 1

Quadratic

Answer 1

       2a

Question 2

Pythagoras

Answer 2

a²+b² = c²

Question 3

Trigonomery

Answer 3

sin = opp/hyp    (SOH)
cos = adj/hyp    (CAH)
tan = opp/adj    (TOA)

Question 4

Cosine rule - for the side

Answer 4

a² = b²+c²-2bcxcos(A)

Question 5

Reverse cosine rule - for the angle

Answer 5

A =        -1    (b²+c²-a²)
        cos   x (   2bc    )

Question 6

SIne rule - for the length

Answer 6

a b c
——— = ——— = ———
sin(A) sin(B) sin(C)

Question 7

Sine rule - for the angle

Answer 7

sin(A) sin(B) sin(C)
——— = ——— = ———
a b c

Question 8

Trapezium area

Answer 8

2

Question 9

Circle area

Answer 9

πr²

Question 10

Equilateral triangle area

Answer 10

2

Question 11

Triangle area

Answer 11

0.5xabxsin(C)

Question 12

Density

Answer 12

Volume

Question 13

Distance

Answer 13

Speed x Time

Question 14

Frequency density (what is this used for?)

Answer 14

Frequency
—————– (Histograms)
Class Width

Question 15

Prism volume

Answer 15

Area cross section x length

Question 16

Cone volume

Answer 16

1/3 x πr² x h

Question 17

Mass

Answer 17

Density x Volume

Question 18

Cylinder volume

Answer 18

πr² x l

Question 19

Volume

Answer 19

Density

Question 20

Speed

Answer 20

Time

Question 21

Area (from pressure and force)

Answer 21

Pressure

Question 22

Pyramid volume

Answer 22

1/3 x area base x h

Question 23

Pressure

Answer 23

Area

Question 24

Angle of a sector

Answer 24

……….. (arc length)

360x ( πr² )

Question 25

Time

Answer 25

Distance ------------- Speed

Question 26

Sphere volume

Answer 26

4/3 πr^3

Question 27

Arc length

Answer 27

x° ------- x π x d 360°

Question 28

Force

Answer 28

Area x Pressure

Question 29

Perpendicular gradient

Answer 29

Negative reciprocal - 2 = -1/2

Question 30

Sphere surface area

Answer 30

4πr²

Question 31

Class Width

Answer 31

Frequency --------------------------- Frequency Density

Question 32

Parallelogram area

Answer 32

b x h

Question 33

Parallelogram area

Answer 33

b x h

Question 34

Gradient

Answer 34

Change in y {m - gradient} ------------------ then - y = mx + c Change in x {c - y intercept}