GCSE AQA Further Mathematics

• 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

  
• Equation for length of a line