GCSE Further Maths

What is the expression for an even number

2n

What is the expression for an odd number

2n + 1

What is the expression for three consecuitive numbers

n, n+1, n+2

What is the expression for three consecutive even numbers

2n, 2n+2, 2n+4

What is the expression for three consecutive odd numbers

2n+1, 2n+3, 2n+5

What is the expression for two even numbers

2n and 2m

What is the expression for two odd numbers

2n+1 and 2m+1

What is anything to the power of 0

1

What is anything to the power of negative 0

1

What is dy/dx

The rate of change of y with respect to x (also known as the gradient)

What is d²y/dx²

The rate of change of the gradient with respect to x

How do you know if a function is increasing

If dy/dx > 0

How do you know if a function is decreasing

If dy/dx < 0

How do you know if a point is a maximum

If d²y/dx² < 0

How do you know if a point is a minimum

If d²y/dx² > 0

tanθ =

sin(θ) ÷ cos(θ)

sin²θ + cos²θ =

1

sin²θ =

1 - cos²θ

cos²θ =

1 - sin²θ

What is the domain of a function

All the x values that can be used with a function

What is the range of a function

All the possible values y could be

What is the range and domain of a function written as

An inequality

What is the matrix for a reflection on the y-axis

What is the matrix for a reflection in the x-axis

What is the matrix for a reflection in the line y=x

What is the matrix for a reflection in the line y=-x

What is the matrix for a rotation of 90° anticlockwise, about the origin

What is the matrix for a rotation of 180° about the origin