4th Form 1st Term Test

• What are corresponding angles when two parallel lines are crossed by a transversal?

  Angles in the same relative position are equal
• If angle 1 is \( 75^\circ \), what is angle 2?

  Angle 2 is \( 75^\circ \)
• What are alternate angles when two parallel lines are crossed by a transversal?

  Angles on opposite sides of the transversal are equal
• If angle 1 is \( 60^\circ \), what is angle 3?

  Angle 3 is \( 60^\circ \)
• What do co-interior angles do when two parallel lines are crossed by a transversal?

  They add up to \( 180^\circ \)
• What is the sum of angles in a triangle?

  Always \( 180^\circ \)
• What does the exterior angle rule state?

  An exterior angle equals the sum of opposite interior angles
• What is the sum of angles in any quadrilateral?

  Always \( 360^\circ \)
• What is the formula for the interior angle of a regular polygon?

  \( \frac{(n-2) \times 180}{n} \)
• How do you calculate the exterior angle of a polygon?

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

  \( (n-2) \times 180 \)
• For a hexagon, what is each interior angle?

  \( 120^\circ \)
• For a hexagon, what is each exterior angle?

  \( 60^\circ \)
• What is the formula for the area of a triangle?

  \( \frac{1}{2} \times \text{base} \times \text{height} \)
• What is the formula for the area of a rectangle?

  \( \text{length} \times \text{width} \)
• What is the formula for the area of a parallelogram?

  \( \text{base} \times \text{height} \)
• What is the formula for the area of a trapezium?

  \( \frac{1}{2} \times (\text{a} + \text{b}) \times \text{height} \)
• What is the surface area formula for a cube?

  \( 6a^2 \)
• What is the surface area formula for a rectangular prism?

  \( 2lw + 2lh + 2wh \)
• What is the surface area formula for a cylinder?

  \( 2\pi r^2 + 2\pi rh \)
• What is the surface area formula for a cone?

  \( \pi r^2 + \pi rl \)
• What is the surface area formula for a sphere?

  \( 4\pi r^2 \)
• What is the volume formula for a cube?

  \( a^3 \)
• What is the volume formula for a rectangular prism?

  \( lwh \)
• What is the volume formula for a cylinder?

  \( \pi r^2 h \)
• What is the volume formula for a cone?

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


  \( \frac{4}{3}\pi r^3 \)
• What is the conversion for length from meters to centimeters?

  1 m = 100 cm
• What is the conversion for length from kilometers to meters?

  1 km = 1000 m
• What is the conversion for area from square meters to square centimeters?

  1 m² = 10,000 cm²
• What is the conversion for volume from cubic meters to cubic centimeters?

  1 m³ = 1,000,000 cm³
• What is the formula for the circumference of a circle?

  \( C = 2\pi r \)
• What is the formula for the area of a circle?

  \( A = \pi r^2 \)
• What is the formula for the area of a sector?


  \( \frac{\theta}{360} \times \pi r^2 \)
• What is the formula for the arc length of a sector?

  \( \frac{\theta}{360} \times 2\pi r \)
• What is the formula for direct proportion?

  \( y = kx \)
• What is the formula for inverse proportion?

  \( y = \frac{k}{x} \)
• What is the formula for density?

  \( \text{Density} = \frac{\text{Mass}}{\text{Volume}} \)
• What is the formula for speed?

  \( \text{Speed} = \frac{\text{Distance}}{\text{Time}} \)
• What is the formula for pressure?

  \( \text{Pressure} = \frac{\text{Force}}{\text{Area}} \)