MATHS

• What is the sum of the exterior angles of a polygon?

  360 degrees
• What is the formula for the sum of the interior angles of a polygon with \( n \) sides?

  (n-2)180 degrees
• How do you calculate the exterior angle of a regular polygon with \( n \) sides?

  360/n degrees
• How do you find the interior angle of a polygon using its exterior angle?

  180 - exterior angle
• What is the formula for the area of a trapezium?

  \(\frac{1}{2} (a+b) \times h\)
• What is the formula for the area of a triangle?

  \(\frac{1}{2}bh\)
• What is the formula for the area of a circle?


  \(\pi r^2\)
• What is the formula for the circumference of a circle?

  \(\pi d\)
• What happens to the powers when multiplying them?

  You add the powers.
• What happens to the powers when dividing them?

  You subtract the powers.
• What is the value of any number to the power of 0?

  1
• How do you add fractions?

  Change the fractions to the lowest common denominator and add the numerators.
• How do you subtract fractions?

  Find a common denominator then subtract the numerators.
• How do you multiply fractions?

  Multiply the numerators and multiply the denominators.
• How do you divide fractions?

  Invert the second fraction and multiply.
• What is the Pythagorean Theorem?

  a² + b² = c²
• What does SOHCAHTOA stand for in trigonometry?

  SOH: Sin = Opposite/Hypotenuse, CAH: Cos = Adjacent/Hypotenuse, TOA: Tan = Opposite/Adjacent
• What is the formula for the area of a sector?

  Area of a Sector = \(\frac{\text{central angle}}{360} \times \pi r^2\)
• What is the formula for the arc length of a sector?

  Arc Length = \(\frac{n}{360}(2\pi r)\)
• What is the formula for the volume of a prism?

  Volume = Cross section × Length
• What is the formula for the volume of a cylinder?

  Volume = \(\pi r^2 h\)
• What is the formula for the volume of a sphere?

  Volume = \(\frac{4}{3}\pi r^3\)
• What is the formula for the volume of a pyramid?

  Volume = \(\frac{1}{3} \text{Area of Base} \times h\)
• What is the formula for the volume of a cone?

  Volume = \(\frac{1}{3}\pi r^2 h\)
• What is the formula for the volume of a frustum?

  Volume = \(\frac{1}{3}\pi r_1^2 h - \frac{1}{3}\pi r_2^2 h\)
• What is the difference between a formula and an expression?

  A formula calculates a new value from a relationship between two variables, while an expression is a mathematical phrase without an equal sign.
• What is an identity in mathematics?

  An identity is an equation that is true for every value of the variable.
• How do you handle powers that are fractions?

  Root it by the denominator and power it by the numerator.
• What is the formula for gradient?

  Gradient = Change in y / Change in x
• What is the formula for speed?

  Speed = Distance / Time
• What is the formula for pressure?

  Pressure = Force / Area
• What is the formula for density?

  Density = Mass / Volume
• What is the formula for the surface area of a sphere?

  Surface Area = \(4\pi r^2\)
• What is the formula for the surface area of a cone?

  Surface Area = \(\pi rl + \pi r^2\)
• What is the formula for the surface area of a cylinder?

  Surface Area = \(2\pi rh + 2\pi r^2\)
• How do you multiply surds?

  \(\sqrt{a} \times \sqrt{b} = \sqrt{ab}\)
• How do you add surds?

  You can only add surds if they have the same root.
• What does rationalizing the denominator mean?

  It means to eliminate any surds from the denominator.
• What does expanding brackets involve?

  Using the FOIL method: First, Outside, Inside, Last.
• What does factorizing involve?

  To factorize fully, remove the highest common factor of each term and place this outside the bracket.