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Free Printable 3D shapes PDF Worksheets, Revision Guide & GCSE Past Paper Questions (Grade 1)

Download free 3d shapes worksheets (PDF), GCSE maths past paper questions and worked solutions for 3D shapes (1R). This is a Grade 1 geometry topic from the GCSE questions by topic collection for Foundation and Higher tier GCSE Maths (Edexcel, AQA, OCR and IGCSE).

The free PDF worksheets table below brings together printable question booklets (Qs) and worked answers or mark schemes (Ans) from Corbett Maths, Maths Made Easy, Maths Takeaway, Maths DIY, Maths4EveryOne, Dr Austin, E Classroom and PMT, along with past paper question booklets.

Below the worksheet links you can read our 3d shapes revision notes and worked examples with diagrams, try real GCSE past paper 3d shapes questions with step-by-step solutions, or download a PDF of all 3d shapes worksheet links.

Free 3D shapes PDF Worksheets & Answers

Grade 1 • Topic 1R
Resource Questions Answers
GCSE past paper questions & solutions
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Practice Questions & answers
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MME worksheet & model answers
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GCSE Maths Takeaway exam questions
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Exam-style booklet & solutions
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KS2 SATs questions & solutions
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Practice grid / worksheet & answers
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GCSE topic booklet & answers
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PMT (Edxl)
Edexcel GCSE topic questions & solutions
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PMT (AQA)
AQA GCSE topic questions & solutions
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PMT (IGCSE)
Edexcel IGCSE topic questions & solutions
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Interactive online lesson & practice
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GCSE Maths Grade 1 Revision Notes & Method

Guide to 3D shapes: Explanation, Diagrams & Worked Examples

Download Printable One Page Guide (PDF)

Explanation:

On any 3D polyhedron, Faces (F) are the flat 2D surfaces, Edges (E) are the lines where two faces meet, and Vertices (V) are the corner points where edges meet. You can check your count using Euler’s formula: F + V − E = 2.

A prism has the same cross-section all the way through its length (e.g. cuboid, triangular prism, cylinder), whereas a pyramid has a polygon base with triangular faces meeting at a single apex point at the top.

Example 1: Write down the faces, edges, and vertices of a triangular prism.

Faces = 5 Edges = 9 Vertices = 6
• Faces: 2 triangles + 3 rectangles = 5
• Edges: 3 + 3 + 3 = 9;  Vertices: 3 + 3 = 6

Example 2: Write down the faces, edges, and vertices of a square-based pyramid.

Faces = 5 Edges = 8 Vertices = 5
• Faces: 1 square base + 4 triangles = 5
• Edges: 4 + 4 = 8;  Vertices: 4 + 1 apex = 5
Scanned GCSE Exam Questions & Worked Solutions

GCSE Past Paper 3D shapes Questions & Answers

Past Paper Example 1 AQA Jun 2025 1F Q21 2 marks
Here is a cuboid.
Dimensions: 5 cm by 3 cm by 2 cm.
Complete the drawing of the net on the centimetre grid.
Worked Solution & Mark Scheme (2 marks)
A net of a 5×3×2 cuboid requires two 5×3 faces, two 5×2 faces, and two 3×2 faces M1
Complete the remaining three faces attached along matching edges. A1
Answer: Complete 6-face net drawn accurately on the grid
Past Paper Example 2 Specimen Set 2 1F Q4 2 marks
Here is a square-based pyramid.
How many faces does the pyramid have? [1 mark]
How many edges does the pyramid have? [1 mark]
Worked Solution & Mark Scheme (2 marks)
Part Solution:
1 square base + 4 triangular faces = 5 faces B1
Answer : 5
Part Solution:
4 base edges + 4 slant edges = 8 edges B1
Answer : 8
Past Paper Example 3 IGCSE Jun 2018 2FR Q7 3 marks
The diagram shows a 3-D shape.
(a) Write down the mathematical name of the shape. [1 mark]
(b) How many faces has the shape? [1 mark]
(c) How many edges has the shape? [1 mark]
Worked Solution & Mark Scheme (3 marks)
Part (a) Solution:
Pentagonal prism
Answer (a): Pentagonal prism
Part (b) Solution:
2 + 5 = 7 faces B1
Answer (b): 7
Part (c) Solution:
3 × 5 = 15 edges B1
Answer (c): 15

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