maths

• What is the equation of a straight line?

  y = mx + c
• How is the gradient, m, calculated?

  m = (1 - 1) / (2 - y)
• What is the formula for the midpoint of AB?

  Midpoint = (x₁ + x₂, y₁ + y₂)
• How do you calculate the distance between points A and B?

  Distance = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}
• What is the formula for the solutions of a quadratic equation?

  Solutions = $\frac{-b \pm \sqrt{b^2 - 4ac}}{2a}$
• What is the turning point of the quadratic equation $y =$$x^2 +$$bx +$$c$?


  Turning point = \left(-\frac{b}{2}, -\frac{b^2}{4} + c\right)
• How do you factorise $x^2 +$$(a+b)x +$$ab$?


  Factorise = $(x + a)(x + b)$
• What is the difference of two squares formula?

  Difference = $a^2 - b^2 =$$(a - b)(a + b)$
• What is the formula for the area of a trapezium?

  Area = $\frac{(a + b)h}{2}$
• What is the formula for the area of a quadrilateral?

  Area = $bh$
• What is the area formula for a parallelogram?

  Area = $bh$
• What is the area formula for a triangle?

  Area = $\frac{1}{2}ab \sin C$
• What does the sine rule state?

  sin A / a = sin B / b = sin C / c
• What is the cosine rule formula?

  a² = b² + c² - 2bc cos A
• How do you calculate the volume of a prism?

  Volume = area of cross section x length
• What is the volume formula for a pyramid?

  Volume = area of cross section x height
• What is the total surface area of a cone?

  Total surface area = area of base + curved surface area
• What is the volume formula for a cone?

  Volume = $\pi r^2 h$
• What is the surface area formula for a sphere?

  Surface area = $4\pi r^2$
• What is the relationship between angles at the center and circumference?

  The angle at the center is twice the angle at the circumference.
• What is the angle in a semicircle?

  The angle in a semicircle is a right angle.
• What can be said about angles in the same segment?

  Angles in the same segment are equal.
• What do opposite angles of a cyclic quadrilateral add up to?

  Opposite angles add up to 180°.
• What is the angle between a tangent and a chord?

  It equals the angle in the alternate segment.
• What is the area formula for a triangle using vectors?

  Area = $\frac{1}{2} \times \text{base} \times \text{height}$
• What does the Pythagorean theorem state?

  $a^2 +$$b^2 =$$c^2$
• What are the trigonometric ratios for sine and tangent?

  sin θ = Opposite / Hypotenuse
• What is the formula for probability?

  Probability = Number of successful outcomes / Total outcomes
• What is the sum of the probabilities of all possible outcomes?

  The sum is 1.
• How is frequency calculated in histograms?

  Frequency = frequency density x class width
• What is the formula for the interquartile range?

  Interquartile range = upper quartile - lower quartile
• How is the range calculated?

  Range = greatest value - least value