Mensuration

Worked examples (11)extended set

• 1Area of a trapezium
• 2Parallelogram and triangle
• 3Working backwards from an area
• 4Area of a compound shape
• 5Compound shape by addition
• 6Area and perimeter in context
• 7Area of a slanted triangle on a grid
• 8A tilted square inside a square
• 9Show that: a triangle inside a parallelogram
• 10A gable wall made from two trapeziums: working backwards
• 11Perimeter of a right-angled trapezium, then area in square metres

Worked examples (13)extended set

• 1Volume of a prism
• 2Cylinder: volume and surface area
• 3Cone: volume and surface area
• 4Sphere
• 5Pyramid
• 6Composite solid
• 7Painting a concrete ramp
• 8Capacity and curved surface of a frustum
• 9A cone folded from a sector
• 10Melting a ball into a rod: equal volumes
• 11A spinning top and a tin with equal surface areas
• 12Mass of wax and surface area of a cone-shaped candle
• 13A spherical tank emptied into a trough

Worked examples (13)extended set

• 1Circumference and area
• 2Arc length and sector area
• 3Perimeter of a sector
• 4Area of a segment
• 5Working backwards to the radius
• 6Circles in context
• 7Sector angle from an exact area
• 8The leaf between two quarter circles
• 9A belt round two pulleys
• 10Major arc and major sector in terms of π
• 11Perimeter of a major sector
• 12Water lying in a horizontal pipe
• 13A plate with semicircles cut from its ends