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Surface Area of a Cone worksheet

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

This worksheet offers an in-depth examination of the surface area of cones. It is structured into four sections, each progressively building understanding and problem-solving skills.

Section A introduces the formula for calculating the surface area of a cone. Students use the formula to find both the individual areas, the circular base and the curved surface, before finding the total surface area, reinforcing their computational skills. Here learners give answers accurate to 2 decimal places.

Section B is similar to the above however, now pupils are asked to give answers in terms of π.

In Section C learners will need Pythagoras' theorem in order to calculate the slant length of two cones before finding their surface area.

Lastly, Section D challenges students with reverse problems, where they deduce missing dimensions from given surface areas.

This worksheet ensures students develop both foundational skills and advanced problem-solving abilities.

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