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Volume and Surface Area•
Volume and Surface Area of Spheres

Surface Area of a Sphere WORKSHEET

Suitable for Year groups: Year 10, Year 11
GCSE Tier: Higher
Targeting grades: 6-7
Prerequisite knowledge: Substituting into formula.
Learning Objective: Calculate surface areas of spheres.

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.

All worksheets are created by the team of experienced teachers at Cazoom Maths.

Surface Area of a Sphere Worksheet suitable for Year 10 and Year 11 students

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Frequently Asked Questions

This worksheet is designed for students targeting grades 6-7 at Higher tier GCSE level. The progressive difficulty from basic substitution to algebraic manipulation and real-world applications makes it ideal for students working towards these higher grades. You'll need confidence with both numerical calculations and rearranging formulae to access all sections effectively.