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4MA1/2FR Jun 2025, Question 3: Naming and Properties of 3D Solids

Pearson Edexcel International GCSE Mathematics A 4MA1 · Paper 2FR (Foundation) · Calculator · 4 marks

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The question, in short

Name a 3-D shape shown as a cube, count its edges, then use six grid quadrilaterals A to F to identify a congruent pair and one with no lines of symmetry.

Summarised in our own words. Use the official paper for the exact wording and the diagram.

Part (ai) · 1 mark

Give the mathematical name of the 3-D shape.

  1. 1All faces are squares and all edges are equal
  2. 2The shape is a cube

AnswerCube

Part (aii) · 1 mark

State how many edges the shape has.

  1. 14 edges on the top face, 4 on the bottom face
  2. 24 vertical edges joining them
  3. 34 + 4 + 4 = 12

Answer12

Part (b) · 1 mark

Identify which two of the quadrilaterals A to F are congruent.

  1. 1B: top 1, bottom 3, height 3
  2. 2D: top 3, bottom 1, height 3
  3. 3D is B turned upside down, so B and D are congruent

AnswerB and D

Part (c) · 1 mark

Identify which quadrilateral A to F has no lines of symmetry.

  1. 1A, B, D, E and F are isosceles trapeziums, each with one line of symmetry
  2. 2C has its top side off-centre
  3. 3C has no lines of symmetry

AnswerC

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