Geometry and Measure

Worked examples (5)

• 1Interior angle sum of a polygon
• 2One interior angle of a regular polygon
• 3Finding the hypotenuse with Pythagoras
• 4Finding the number of sides from an angle
• 5Finding a shorter side with Pythagoras

Worked examples (5)

• 1Interior angle of a regular polygon
• 2Finding a scale factor between similar shapes
• 3A missing side on a similar shape
• 4Reading a scale drawing
• 5Number of sides from an interior angle

Worked examples (5)

• 1Enlarging by a fractional scale factor
• 2Combining two slides
• 3Enlarging by a negative scale factor
• 4Finding the vector between two points
• 5Describing a combined transformation

Worked examples (5)

• 1Converting a length
• 2Converting an area unit
• 3Calculating density
• 4Finding a force from a pressure
• 5Finding the bounds of a measurement

Worked examples (5)

• 1Circumference from a radius
• 2Arc length of a sector
• 3Perimeter of a sector
• 4Perimeter of a rectangle with a semicircular end
• 5Finding the angle of a sector from its arc

Worked examples (5)

• 1Area of a circle
• 2Area of a trapezium
• 3Area of a sector
• 4A rectangle topped with a semicircle
• 5Working backwards from a known area

Worked examples (5)

• 1Volume of a triangular prism
• 2Volume of a cylinder
• 3Surface area of a cylinder
• 4Capacity of a prism-shaped tank
• 5Volume of a composite solid

Worked examples (5)

• 1Calculating a speed
• 2Finding distance from a speed
• 3Reading speed from a distance-time graph
• 4Average speed over a whole journey
• 5Acceleration with a unit conversion