General Mathematics · Unit 1 · Shape and measurement · Mensuration

Solve practical problems involving shape and measurement. General Mathematics 2025 v1.3

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Question 1

A council is designing a children's playground and needs to install edging around a circular sandpit and a rectangular picnic area. The circular sandpit has a radius of 2.5 m. The rectangular picnic area measures 8 m by 4.5 m. Calculate the total length of edging required for both areas, correct to the nearest metre.

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Calculate 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

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