Net Method: Surface Area of Pyramids - Mixed Review

Mathematics
GCSE Higher
11 questions
~22 mins
1 views0 downloads

About This Worksheet

A comprehensive worksheet reviewing the Net Method for calculating the surface area of pyramids, including procedural practice, reasoning, and real-world applications.

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Net Method: Surface Area of Pyramids - Mixed Review

Subject: MathematicsGrade: GCSE Higher
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Untitled Worksheet

Grade GCSE Higher
A

Practice Questions

Answer all questions. Show your working in the grid spaces provided.
1.
A square-based pyramid has a base edge length of 6 cm and a slant height of 8 cm. Calculate its surface area using the net method.
[4 marks]
2.
Construct the net of a pyramid with a square base of side 4 cm and a height of 6 cm. Label the slant edges.
[3 marks]
3.
Calculate the total surface area of a regular triangular pyramid with a base side of 5 cm, each lateral face having a slant height of 6 cm.
[4 marks]
4.
A pyramid has a rectangular base measuring 8 cm by 5 cm. Its slant height on the longer side is 7 cm. Find the surface area.
[3 marks]
5.
Using the net method, explain why a pyramid with a larger slant height has a greater surface area, assuming base dimensions are constant.
[3 marks]
6.
A student draws a net of a pyramid incorrectly, missing one of the triangular faces. What is the effect on the calculated surface area?
[2 marks]
7.
Calculate the surface area of a square pyramid with base side 10 cm and slant height 12 cm.
[4 marks]
8.
Construct a net for a pyramid with a triangular base where each side measures 6 cm, and faces are equilateral triangles. Label all edges.
[3 marks]
9.
A pyramid has a base area of 36 cm^2, and each lateral face has an area of 18 cm^2. What is its total surface area?
[3 marks]
10.
Identify and correct the mistake: a student calculates the surface area of a pyramid by summing only the lateral areas, ignoring the base.
[2 marks]
11.
Calculate the surface area of a pyramid with a rectangular base 9 cm by 4 cm, and a slant height of 10 cm on the longer side.
[4 marks]

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Details

Created
1/1/2026
Updated
1/1/2026
Type
worksheet