all formulars for GCSE Maths

Question 1

What is the area of an rectangle?

Answer 1

length x width

Question 2

What is the area of an triangle?

Answer 2

1/2 x base x height
or
1/2absinC (for non right angle triangle)

Question 3

What is area of trapezium?

Answer 3

1/2 x (a+b) x height

Question 4

What is the Area of Parallelogram?

Answer 4

base x height

Question 5

Area of circle?

Answer 5

pi x radius squared

Question 6

Circumference of circle?

Answer 6

pi x diameter

Question 7

volume of prism?

Answer 7

area of cross section x length

Question 8

volume of cylinder?

Answer 8

pi x radius squared x height

Question 9

Pythagoras theorem?

Answer 9

a squared + b squared = c squared

Question 10

trigonometric ratios?

Answer 10

SOH,CAH,TOA

Question 11

HOW TO FIND DENSITY?

Answer 11

MASS DIVIDED BY VOLUME

Question 12

How to find speed?

Answer 12

DISTANCE DIVIVDED BY TIME

Question 13

how to find pressure?

Answer 13

force divided by area

Question 14

volume of pyramids?

Answer 14

1/3 x area of base x height

Question 15

the quadratic equation?

Answer 15

-b+/- square root b squared - 4ac over 2a

Question 16

What is the sine rule?
(to work out lengths)

Answer 16

a/sinA = b/sinB = C/sinC

A=ANGLE
a=LENGTH

used for triangles especially non right angle triangles

Question 17

What is the sine rule?
(to work out angles)

Answer 17

sinA/a = sinB/b = sinC/c

used for triangles especially non right angle triangles

Question 18

What is the cosine rule?

Answer 18

a squared = b squared + c squared - 2bcCosA

USE for non-right angled triangles different from sine rule because used when they is no two pairs of angle and length.

Question 19

Area of triangle?
used when you cant find the height of the triangle

Answer 19

1/2 x a x b x Sin x C

Question 20

What is the area of an sector?

Answer 20

pi x radius squared x theta/360

Question 21

what is direct proportion?

Answer 21

x=Ky squared
Where x is directly proportional to y squared.

Question 22

What is Inverse proportion?

Answer 22

x=k/y squared

Question 23

Frequency Density?

Answer 23

frequency/class width

Question 24

the equation of a straight line ?

Answer 24

y=mx+c

m=gradient
c=y-intercept

Question 25

how to find gradient of an line?

Answer 25

Y2-Y1/X2-X1

Question 26

surface area of a sphere?

Answer 26

4 pie radius squared

Question 27

surface area of a cube?

Answer 27

6 area squared

Question 28

surface area of cylinder?

Answer 28

2 pi squared + 2 pi radius height

Question 29

How to find total interior angle in a polygon?

Answer 29

180(n-2) = total interior angle
to find single interior angle divide the total by how many sides there are in the polygon.