maths mocks

which graph is this

which graph is this

sin graph

which graph is this

cos graph

which graph is this

tan graph

circle theorem 1

the angle subtended by an arc at the centre is twice the angle at the circumference

circle theorem 2

the angle in a semicircle is a right angle

circle theorem 3

two angles at the circumference standing on the same arc are equal

circle theorem 4

opposite angles in a cyclic quadrilateral sum to 180*

area of a triangle

base x height x sin(theta) x 1/2

sin special trig values

0 , ½ , 1/√2 , √3/2 , 1

cos special values

0, √3/2 , 1/√2 , ½ , 0

tan special values

0 , 1/√3 , 1 , √3 , n/a

vol of cone equation

πr²h x 1/3

vol of sphere equation

4 x πr³ x 1/3

vol of prisms equation

area of face x length

square based pyramid volume equation

b x h x 1/3

length of arc

2 π r (θ/360°)

area of sector

angle/ 360 x π r²

surface area of a cone

2πr(r + h).

sum of interior angles of polygon

180(n-2)

sum of exterior angles of polygon

360

quadratic formula

x=−b±√b2−4ac / 2a

mean

the sum of the values divided by the number of values

mode

The mode is the value that appears the most often

median

The median is the middle value when you put values in size order

how to find mode from a frequency table

the data value with the highest frequency

how to find median from a frequency table

total frequency + 1 / 2

how to find mean from a frequency table

total of (data value x frequency) / total frequency

what does a histogram show

the area of the bar shows the frequency of the data

frequency density formula

frequency / class width

vol of cylinder

πr²h

area of trapezium

½ (a+b)h

pythagorus

a² + b² = c²

sin rule

a/ sinA = b/sinB = c/sinC

cos rule

a²= b² + c² - (2 bc cosA)

area of triangle

½ ab sinC

compound interest

P( 1 + r/100) ⁿ

area of a parallelogram

base x perpendicular height