All Formulas

Subdecks (3)

Cards (105)

  • What is the formula for percentage change?
    Percentage Change = (Change / Original) × 100
  • How do you calculate the original value from a new value and percentage?
    Original Value = New Value / (1 ± (Percentage / 100))
  • What is the formula for calculating lower and upper bounds?
    Lower Bound = Rounded Value − (Unit of Rounding / 2)
  • What is the upper bound formula?
    Upper Bound = Rounded Value + (Unit of Rounding / 2)
  • What is the law of indices for multiplying powers with the same base?
    aman=a^m \cdot a^n =am+n a^{m+n}
  • What is the law of indices for dividing powers with the same base?
    aman=\frac{a^m}{a^n} =amn a^{m-n}
  • What is the law of indices for raising a power to another power?
    (am)n=(a^m)^n =amn a^{mn}
  • What is the value of any number raised to the power of zero?
    a0=a^0 =1 1
  • What is the law of indices for negative powers?
    an=a^{-n} =1an \frac{1}{a^{n}}
  • What is the formula for the equation of a straight line?
    y = mx + c
  • What does 'm' represent in the equation of a straight line?
    'm' is the gradient of the line
  • What does 'c' represent in the equation of a straight line?
    'c' is the y-intercept of the line
  • What is the condition for the gradients of parallel lines?
    Gradient of parallel lines: m1 = m2
  • What is the condition for the gradients of perpendicular lines?
    Product of gradients: m1 × m2 = -1
  • What is the quadratic formula?
    x=x =b±b24ac2a \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}
  • How do you calculate the gradient of a line from two points?
    m = change in ychange in x\frac{change\ in\ y}{change\ in\ x}
  • What is the formula for inverse proportion?
    y = k divided by x
  • What is the formula for direct proportion?
    y = kx
  • What is the formula for speed?
    Speed = Distance / Time
  • What is the formula for distance?
    Distance = Speed × Time
  • What is the formula for time?
    Time = Distance / Speed
  • What is the formula for density?
    Density = Mass / Volume
  • What is the formula for pressure?
    Pressure = Force / Area
  • What is the formula for the circumference of a circle?
    Circumference = 2πr or πd
  • What is the formula for the area of a circle?
    Area = πr²
  • What is the formula for the area of a trapezium?
    Area = (1/2) × (a + b) × h
  • What is the formula for the volume of a prism?
    Volume = Area of Cross-Section × Length
  • What is the formula for the surface area of a cylinder?
    Surface area = 2πrh + 2πr²
  • What is the formula for the volume of a sphere?
    Volume = (4/3)πr³
  • What is the formula for the surface area of a sphere?
    Surface Area = 4πr²
  • What is the formula for the volume of a cone?
    Volume = (1/3)πr²h
  • What is the formula for the surface area of a cone?
    Surface Area = πr² + πrl
  • What is the formula for the area of a sector?
    Area = (θ / 360) × πr²
  • What is the formula for arc length?
    Arc Length = (θ / 360) × 2πr
  • What is Pythagoras’ Theorem?
    a2+a^2 +b2= b^2 =c2 c^2
  • What are the trigonometric ratios for sine, cosine, and tangent?
    sin(A) = Opposite / Hypotenuse
  • What is the cosine ratio?
    cos(A) = Adjacent / Hypotenuse
  • What is the tangent ratio?
    tan(A) = Opposite / Adjacent
  • What is the sine rule?
    asin(A)=\frac{a}{\sin(A)} =bsin(B)= \frac{b}{\sin(B)} =csin(C) \frac{c}{\sin(C)}
  • What is the cosine rule?
    a2=a^2 =b2+ b^2 +c22bccos(A) c^2 - 2bc \cdot \cos(A)