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Surface Area of a Sphere worksheet

Suitable for Year groups: 10, 11
GCSE Tier:
Higher
Targeting grades: 6-7
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Prerequisite knowledge: Substituting into formula.
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Surface Area of a Sphere worksheet description

This worksheet offers a structured exploration of the surface area of spheres. It begins by introducing the formula used to find the surface area of a sphere.

In Section A, students calculate the surface areas of spheres to two decimal places and in terms of π, encouraging precision and understanding of the formula’s application.

The next section challenges students to reverse the problem: determining radii and diameters given the surface areas, emphasising conceptual understanding and algebraic manipulation.

Section C deepens the complexity, requiring calculations involving the Earth's surface area in standard form and comparative reasoning between a sphere and a cube with equivalent surface areas.

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