MATHS FOUNDATION

• What is the formula for the area of a rectangle?

  Area = length × width
• What is the formula for the area of a parallelogram?

  Area = base × height
• What is the formula for the area of a triangle?

  Area = ½ × base × height
• What is the formula for the area of a trapezium?

  Area = ½ × (a + b) × height
• What theorem is used for right-angled triangles?

  Pythagoras Theorem
• What does the Pythagorean theorem state?

  The square of the hypotenuse equals the sum of the squares of the other two sides
• What are the trigonometric ratios introduced in GCSE Maths Foundation?

  sin, cos, tan
• What is the formula for the gradient of a line?

  Gradient (m) = rise/run
• What is the formula for speed?

  Speed = distance/time
• What is the formula for density?

  Density = mass/volume
• What is the equation of a straight line?

  y = mx + c
• How do you find the midpoint of two points (x1, y1) and (x2, y2)?

  Midpoint = ((x1 + x2)/2, (y1 + y2)/2)
• What is the formula for the volume of a cuboid?

  Volume = length × width × height
• How do you construct a pie chart?

  Angle for sector = (frequency/total) × 360°
• What is the formula for compound growth or decay?

  Amount = starting × (1 ± r)^n
• What is the formula for the circumference of a circle?

  Circumference = 2 × π × radius
• What is the formula for the area of a circle?

  Area = π × radius²
• What is the formula for the sum of interior angles in a polygon?

  Sum = (n - 2) × 180°
• What do exterior angles of a polygon add up to?

  Exterior angles add up to 360°
• What is the relationship between interior and exterior angles in a regular polygon?

  Interior and exterior angles add up to 180°
• What are the key formulas for areas in GCSE Maths Foundation?

  • Rectangle: Area = length × width
  • Parallelogram: Area = base × height
  • Triangle: Area = ½ × base × height
  • Trapezium: Area = ½ × (a + b) × height
• What are the key concepts of Pythagoras and trigonometric ratios?

  • Pythagoras Theorem: a² + b² = c²
  • Trigonometric ratios: sin, cos, tan
• What are the key concepts of straight line equations and gradients?

  • Equation of a line: y = mx + c
  • Gradient (m) = rise/run
• What are the key concepts of circles and their measurements?

  • Circumference: C = 2 × π × radius
  • Area: A = π × radius²
• What are the key concepts of polygons and their angles?

  • Sum of interior angles: (n - 2) × 180°
  • Exterior angles sum: 360°
  • Interior and exterior angles: add up to 180°