Mensuration

General Mathematics · Unit 1 — Money, measurement, algebra and linear equations · Shape and measurement

Learning objectives (5)

LO-1Calculate areas, 𝐴, of standard two-dimensional objects in practical situations, including circles, sectors of circles, triangles, rectangles, parallelograms, trapeziums and composites.  circle: 𝐴 = 𝜋𝑟2 where 𝑟 is radius  sector: 𝐴 = 𝜃 360 𝜋𝑟2 where 𝜃 is central angle and 𝑟 is radius  triangle: 𝐴 = 1 2 𝑏ℎ where 𝑏 is base length and ℎ is perpendicular height  parallelogram: 𝐴 = 𝑏ℎ where 𝑏 is base length and ℎ is perpendicular height  trapezium: 𝐴 = 1 2 (𝑎 + 𝑏)ℎ where 𝑎 and 𝑏 are parallel lengths and ℎ is perpendicular height LO-2Calculate perimeters, 𝑃, of standard two-dimensional objects in practical situations, including circles, sectors, triangles, rectangles, trapeziums, parallelograms and composites.  circle: 𝐶 = 2𝜋𝑟 where 𝐶 is circumference and 𝑟 is radius  sector: 𝑃 = 2𝑟 + 𝜃 180 𝜋𝑟 where 𝜃 is central angle and 𝑟 is radius General Mathematics 2025 v1.3 LO-3Calculate surface areas, 𝑆, of standard three-dimensional objects in practical situations, including rectangular prisms, cylinders, pyramids, cones, spheres and composites.  cylinder: 𝑆 = 2𝜋𝑟ℎ + 2𝜋𝑟2 where 𝑟 is radius and ℎ is perpendicular height  cone: 𝑆 = 𝜋𝑟𝑠 + 𝜋𝑟2 where 𝑟 is radius and 𝑠 is slant height  sphere: 𝑆 = 4𝜋𝑟2 where 𝑟 is radius LO-4Calculate volumes, 𝑉, and capacities of standard three-dimensional objects in practical situations, including rectangular prisms, cylinders, pyramids, cones, spheres and composites.  prism: 𝑉 = 𝐴ℎ where 𝐴 is base area and ℎ is perpendicular height  cylinder: 𝑉 = 𝜋𝑟2 ℎ where 𝑟 is radius and ℎ is perpendicular height  pyramid: 𝑉 = 1 3 𝐴ℎ where 𝐴 is base area and ℎ is perpendicular height  cone: 𝑉 = 1 3 𝜋𝑟2 ℎ where 𝑟 is radius and ℎ is perpendicular height  sphere: 𝑉 = 4 3 𝜋𝑟3 where 𝑟 is radius LO-5Solve practical problems involving shape and measurement. General Mathematics 2025 v1.3

Practise these objectives with instant AI marking

Adaptive questions tied to QCAA mark schemes. Free to start.

Start free practice