maths

Surface Area of Cuboids Equation

Surface Area of Cuboids Equation

Surface Area = 2lw + 2wh +2lh

Volume of Cuboids

Volume = Length × Width × Height

Prism Traits

A prism has a the same cross section all the way through

Area of A Rectangle

Area = Length × Width

Volume of A Rectangle

Volume = Area × Length

Area of A Triangle

Area = (Base × Height) ÷ 2

Volume of A Triangle

Volume = Area × Length

Area of A Circle

Area = π×r²

Volume of A Cylinder

Volume = Area × Length

QUESTION: Find the value of “x”

x = 3 cm

QUESTION: Work out the width of the rectangle

Circle Theorem 1

When a radius meets a tangent, the angle will always be 90°.

Circle Theorem 2

From a point outside a circle two tangents can be drawn. From a point to where they touch the circle, the two tangents are equal in length

Circle Theorem 3

The angle at the center of a circle is twice the angle at the circumference.

E.g. The 2x angle is double the x angle

Different versions of the same theorem

Circle Theorem 4

The angle in a semi-circle is a right angle

Circle Theorem 5

Angles in the same segment are equal.

Even in the three one the angles are all equal

Circle Theorem 6

Alternate Segment Theorem:

The angle that lies between the a tangent and a chord is equal to the angle subtended by the same chord in an alternate segment.

Different versions of the same theorem

Circle Theorem 7

Opposite angles of a cyclic quadrilateral add up to 180°.

cyclic quadrilateral = any 4 sided shape drawn inside a circle, where the corners all touch the circle.

Different versions of the same theorem

Histogram Equation

Frequency Density = frequency / class width

Speed Equation

Speed = Distance / Time

Quadratic Formula

Gradient of a line

Circumference of a circle

2pir