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4MA1/1F Jun 2025, Question 3: Naming and Properties of 3D Solids

Pearson Edexcel International GCSE Mathematics A 4MA1 · Paper 1F (Foundation) · Calculator · 4 marks

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The question, in short

For a prism with a quadrilateral cross-section, give counts of faces and vertices, and name two lines related to a circle with centre O.

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

Part (a) · 1 mark

State how many flat surfaces the prism has.

  1. 12 end faces (quadrilaterals)
  2. 24 rectangular faces joining them
  3. 32 + 4 = 6

Answer6

Part (b) · 1 mark

State how many corner points the prism has.

  1. 14 vertices on each end face
  2. 24 × 2 = 8

Answer8

Part (c) · 1 mark

Give the proper term for line AB passing through centre O with ends on the circle.

  1. 1AB joins two points on the circle and passes through the centre O
  2. 2so AB is a diameter

Answerdiameter

Part (d) · 1 mark

Give the proper term for line CD meeting the circle at just one point.

  1. 1CD touches the circle at exactly one point
  2. 2so CD is a tangent

Answertangent

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