Mathematics/Question 3 skill map/Analyse Shapes

QUESTION 3 · Shapes & Angles

Analyse Shapes

Use properties, markings and invariants to explain a figure.

DISCOVER · PREDICT BEFORE YOU CHANGE

Make the relationship visible

Faces: 8
Edges: 18
Vertices: 12

Predict the counts before changing the base. Explain where each group of edges comes from. Check: V − E + F = 2.

CHOOSE AN INDIVIDUAL ACTION

Read shape properties

Identify sides, vertices, faces and edges, and interpret geometric marks.

6 stages48 mixed itemsSee exam connections

Check Your Skill Level

All 48 canonical questions for this skill, grouped by stage. Use this printable check to find where review is needed.

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YOUR SKILL LADDER

Read shape properties

0/6 mastered
Before you start

Count carefully; distinguish a flat figure from a solid.

Already secure with these actions? Open any stage directly.

SHORT TUTORIAL

  1. 1

    A face is a surface; an edge joins faces; a vertex is a corner.

  2. 2

    Read exactly what is stated. Separate guaranteed facts from appearance.

  3. 3

    For a prism with an n-sided base, check V = 2n, E = 3n, F = n + 2.

COACH · ANTICIPATE EACH DECISION

A triangle is flat. Is it 2D or 3D?

Before revealing: which property or operation will you use?

    Watch for this: Hidden edges still count. A dashed edge is not an extra edge.

    MIXED PRACTICE · 8 ITEMS

    Practise. Explain. Check.

    Show your working or construction on paper. State units where asked. For questions 7 and 8, explain your method. Numerical entries may be rounded to 2 decimal places. Later stages retrieve earlier methods. Answers and explanations stay separate.

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    See answers & explanations
    1. 3D

      A flat polygon is two-dimensional; a prism is a solid with three dimensions.

    2. 2D

      A flat polygon is two-dimensional; a prism is a solid with three dimensions.

    3. 3D

      A flat polygon is two-dimensional; a prism is a solid with three dimensions.

    4. 2D

      A flat polygon is two-dimensional; a prism is a solid with three dimensions.

    5. 3D

      A flat polygon is two-dimensional; a prism is a solid with three dimensions.

    6. 2D

      A flat polygon is two-dimensional; a prism is a solid with three dimensions.

    7. 3D

      A flat polygon is two-dimensional; a prism is a solid with three dimensions.

    8. 2D

      A flat polygon is two-dimensional; a prism is a solid with three dimensions.

    Self-assess only after at least 7 of 8 independently, including both reasoning items. At stages 4–6, explain a method choice. Before calling the whole skill secure, solve two unseen variants including another context. Repeat after several days. These are teaching targets.

    Use this skill somewhere else

    Connect it to another action, then solve a fresh problem without a method cue.

    Classify quadrilaterals Choose and construct bisectors

    Mastery choices are saved in this browser on this device. Numerical checks and reason choices are shown separately. Paper drawings and constructions need your own or your teacher’s review.