Formulae

Question 1

Rectangle area

Answer 1

Rectangle = l x w

Question 2

Parallelogram area

Answer 2

Parallelogram = b x h

Question 3

Triangle area

Answer 3

Triangle = 1/2b x h

Question 4

Trapezium area

Answer 4

1/2(a + b)h

Question 5

Cuboid volume

Answer 5

Cuboid = l x w x h

Question 6

Prism volume

Answer 6

Area of cross section x length

Question 7

Cylinder volume

Answer 7

Cylinder = πr^2h

Question 8

Pyramid volume

Answer 8

Volume of pyramid = 1/3 x area of base x h

Question 9

Speed (compound measure)

Answer 9

Speed = distance/time

Question 10

Density (compound measures)

Answer 10

Density = mass/volume

Question 11

Circumference of a circle

Answer 11

Circumference = π × diameter, C = πd
Circumference = 2 × π × radius, C = 2πr

Question 12

Area of a circle

Answer 12

Area of a circle = π x radius squared, A = πr^2

Question 13

Sine rule (trigonometric formulae)

Answer 13

Sine Rule = a/sin (A) = b/sin (B) = c/sin(C)

Question 14

Cosine rule (trigonometric formulae)

Answer 14

Cosine Rule: a^2 = b^2 + c^2 - 2bc cos (A)

Question 15

Area of triangle (trigonometric formulae)

Answer 15

Area of triangle = 1/2 ab sin (C)

Question 16

Pythagoras’ theorem

Answer 16

For a right-angled triangle, a^2 +b^2 =c^2

Question 17

Trigonometric ratios

Answer 17

sin x degrees = opp/hyp , cos x degrees = adj/hyp , tan x degrees = opp/adj

Question 18

The quadratic equation

Answer 18

The solutions of ax2 + bx + c = 0,

where a ≠ 0, are given by x = -b±√(b^2-4ac)/2a

Question 19

Perfect square form

Answer 19

(x + p)^2 + q

Question 20

Rule for sin with exact trigonometry values

Answer 20

√above / 2

Question 21

Rule for cos with exact trigonometry values

Answer 21

√below / 2

Question 22

Rule for tan with exact trigonometry values

Answer 22

√above / √below

Question 23

Numbers used for exact trigonometry values

Answer 23

0, 30, 45, 60, 90

Question 24

Surface area of a cylinder

Answer 24

πdh + 2πr^2

Question 25

Frequency density

Answer 25

Frequency density = frequency / class width

Question 26

Axis in histogram

Answer 26

X-axis = class width
Y-axis = frequency density
Area = frequency

Question 27

Compound interest

Answer 27

Total = original amount x (1 + multiplier)^time

Question 28

SFL =
SFA =
SFV =

Answer 28

SFL = k
SFA = k^2
SFV = k^3