Formulas

Question 1

Area of a parallelogram

Answer 1

base (b) x height (h)

Question 2

Area of a triangle

Answer 2

½ base (b) x height (h)

Question 3

Area of a trapezium

Answer 3

½ (a + b) x height (h)

‘a’ and ‘b’ are the parallel lines

Question 4

Volume of a cuboid

Answer 4

length (l) x width (w) x height (h)

Question 5

Volume of a prism

Answer 5

Area of cross section x length (l)

Question 6

Circumference of a circle

Answer 6

π x diameter (d)

OR

π x (2 x radius (r))

Question 7

Area of a circle

Answer 7

π x radius (r)²

Question 8

Gradient of a line (graphs)

Answer 8

(y² - y¹) ÷ (x² - x¹)

OR

Base (b) ÷ height (h)

Question 9

Pythagoras Theorum

Answer 9

a² + b² = c²

Question 10

Speed, Distance & Time equation

Answer 10

Speed = Distance / Time

Question 11

Density, Mass & Volume Equation

Answer 11

Density = Mass / Volume

Question 12

Trigonometric Ratios

Answer 12

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

opp = opposite hypotenuse
adj = adjacent hypotenuse
hyp = hypotenuse

Question 12

Trigonometric Ratios

Answer 12

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

opp = oposite
adj = adjacent
hyp = hypotensues

Question 13

Equation for calculating the angles for each sector in a pie chart

Answer 13

Angle = (Frequency / Total) x 360

Question 14

Area of a sector

Answer 14

A = (θ / 360) x (πr²)

r = radius

Question 15

Length of an Arc

Answer 15

A = (θ / 360) x (π x d)

d = diameter

Question 16

Lowest Common Multiple

Answer 16

(a x b) / HCF

a and b are the two numbers you’re finding the LCM of

Question 17

Stratified Sample

Answer 17

(frequency of group / total frequency) * sample size

Question 18

Length of diagonal across a cuboid

Answer 18

d² = a² + b² + c²

a= length
b= width
c= height

Question 19

Gradient of a line

Answer 19

m = (y₂ - y₁) / (x₂ - x₁)
or
m = height / base

Question 20

Perpendicular gradients

Answer 20

Given the gradient of a line (m), the gradient of the perpendicular line is - 1/m (as a fraction)

Question 21

Exterior Angles in Polygons total

Answer 21

360

Question 22

One Exterior Angle in a Regular Polygon

Answer 22

360 / n

n = number of sides

Question 23

Sum of Interior Angles in a Regular Polygon

Answer 23

(n - 2) x 180

n = number of sides

Question 24

What do pairs of interior and exterior angles add up to with polygons?

Answer 24

180

Question 25

Median from a Frequency/Histogram table

Answer 25

L + ((m + p) / f) x w

L = Lower limit of median class
M = Median point
P = Total frequency of previous bars
F = Frequency of median class
W = Class width of median class