3D shapes Quiz (Grade 1)

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Topic:

Score: 0 / 10

3D shapes — Notes & Worked Examples Show / Hide

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: 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: 1 square base + 4 triangles = 5

• Edges: 4 + 4 = 8; Vertices: 4 + 1 apex = 5

One Page Guide (PDF) 3D shapes Worksheets

Question 1 AQA Nov 2021 1H Q3

[1 mark]

Circle the solid that has 7 vertices.

hexagonal prism hexagon-based pyramid pentagonal prism pentagon-based pyramid

Worked Solution & Answer

A hexagon-based pyramid has 6 vertices on the base and 1 apex, giving 6 + 1 = 7 vertices. B1

Answer: hexagon-based pyramid

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Question 2 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 & Answer

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

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Question 3 Specimen Set 2 1F Q4

[2 marks]

Here is a square-based pyramid.

(a) How many faces does the pyramid have? [1 mark]

(b) How many edges does the pyramid have? [1 mark]

Worked Solution & Answer

(a)

1 square base + 4 triangular faces = 5 faces B1

Answer (a): 5

(b)

4 base edges + 4 slant edges = 8 edges B1

Answer (b): 8

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Question 4

[2 marks]

Here is a 3-D shape.

(a) Write down the name of this 3-D shape. [1 mark]

(b) Write down the number of edges of this 3-D shape. [1 mark]

Worked Solution & Answer

(a)

Cuboid

Answer (a): Cuboid

(b)

A cuboid has 6 faces, 12 edges and 8 vertices B1

Answer (b): 12

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Question 5 Eduqas Nov 2019 2F Q3

[2 marks]

(a) The diagram shows a 2D shape made from squares.
This shape is folded along each dotted line to make a 3D shape.
Write down the name of this 3D shape.
(b) Which of the 3D shapes drawn has 5 faces, 9 edges and 6 vertices? Tick one box
[ ] A [ ] B [ ] C [ ] D [ ] E.

(a) The diagram shows a 2D shape made from squares.
This shape is folded along each dotted line to make a 3D shape. [1 mark]

Write down the name of this 3D shape.

(b) Which of the 3D shapes drawn has 5 faces, 9 edges and 6 vertices? Tick one box
[ ] A [ ] B [ ] C [ ] D [ ] E. [1 mark]

Worked Solution & Answer

(a)

The net consists of 6 congruent squares arranged to fold into a cube. B1

Answer (a): Cube (or cuboid)

(b)

A (square-based pyramid): 5 faces, 8 edges, 5 vertices
B (triangular prism): 5 faces (2 triangles + 3 rectangles), 9 edges, 6 vertices
C (cuboid): 6 faces, 12 edges, 8 vertices
D (tetrahedron): 4 faces, 6 edges, 4 vertices
E (cone): 2 faces, 1 edge, 1 vertex. B1

Answer (b): B (triangular prism)

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Question 6

[2 marks]

The diagram shows a solid triangular prism.

(a) Write down the number of faces of the prism. [1 mark]

(b) Write down the number of edges of the prism. [1 mark]

Worked Solution & Answer

(a)

Answer (a): 5

(b)

Triangular prism has 5 faces and 9 edges B1

Answer (b): 9

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Question 7 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]

Worked Solution & Answer

(a)

Pentagonal prism

Answer (a): Pentagonal prism

(b)

2 + 5 = 7 faces B1

Answer (b): 7

(c)

3 × 5 = 15 edges B1

Answer (c): 15

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Question 8 AQA Jun 2024 3F Q6

[3 marks]

Here are three solids: Cube, Square-based pyramid, Cone.

(a) How many faces does the cube have? [1 mark]

Answer

(b) How many edges does the square-based pyramid have? [1 mark]

Answer

Worked Solution & Answer

(a)

A cube has 6 faces. B1

Answer (a): Answer 6

(b)

A square-based pyramid has 4 base edges + 4 slant edges = 8 edges. B1

Answer (b): Answer 8

(c)

A cone has 1 vertex (apex). B1

Answer (c): Answer 1

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Question 9 IGCSE Jun 2022 2FR Q4

[3 marks]

Here are two sides of a parallelogram.

(a) On the grid above, complete the parallelogram. [1 mark]

(b) What is the mathematical name of this 3-D shape? [1 mark]

Worked Solution & Answer

(a)

Opposite sides parallel and equal length B1

Answer (a): Parallelogram completed on grid

(b)

Square-based pyramid B1

Answer (b): Pyramid (or square-based pyramid)

(c)

1 base + 4 triangular faces = 5 faces B1

Answer (c): 5

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Question 10 IGCSE Jan 2020 2F Q6

[3 marks]

(a) Name the 3-D shape (4 cm by 2 cm by 1 cm) (1) (b) Measure length of AB (1) (c) Which two of shapes A–F are congruent? (1)

(a) Write down the mathematical name of this 3-D shape. [1 mark]

(b) Measure the length of AB. [1 mark]

Worked Solution & Answer

(a)

cuboid

Answer (a): cuboid

(b)

6.5 cm B1

Answer (b): 6.5 cm

(c)

A and F are congruent rhombuses B1

Answer (c): A and F

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Score: 0 / 10 (0 / 23 marks)

3D shapes Worksheets Next: Calculation problems →

Grade 1 Quizzes

16 Topics

1A - Addition	1B - Subtraction
1C - Multiplication	1D - Division
1E - Time	1F - Ordering FDP
1G - Place Value	1H - Rounding
1J - Negative numbers	1K - Powers and roots
1L - BIDMAS	1M - Factors, multiples and primes
1N - Coordinates	1P - Pictograms
1Q - 2D shapes	1R - 3D shapes