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0580/32 Oct/Nov 2023, Question 2: Nets of 3D Shapes

Cambridge IGCSE Mathematics 0580 · Paper 32 (Core) · Calculator · 10 marks

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The question, in short

Name three shapes from diagrams, measure an angle, mark a rectangle's symmetry lines, then find a 6 cm by 3 cm by 2 cm cuboid's volume and sketch its net on a 1 cm² grid.

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 regular five-sided polygon shown.

  1. 15 equal sides: pentagon

AnswerPentagon

Part (aii) · 1 mark

Give the mathematical name of the quadrilateral with one pair of parallel sides shown.

  1. 1One pair of parallel sides: trapezium

AnswerTrapezium

Part (aiiia) · 1 mark

  1. 1Between 90° and 180°: obtuse

AnswerObtuse

Part (aiiib) · 1 mark

Use a protractor to find the size of the marked angle.

  1. 1Measure with a protractor from the horizontal line: 123°

Answer123

Part (b) · 2 marks

Draw all lines of symmetry onto the rectangle shown.

  1. 1Draw one vertical and one horizontal line through the centre, each joining midpoints of opposite sides (not the diagonals)

Answer2 correct lines

Part (ci) · 1 mark

Calculate the volume of a cuboid with sides 6 cm, 3 cm and 2 cm.

  1. 1Volume = 6 × 3 × 2 = 36 cm³

Answer36

Part (cii) · 3 marks

Complete a net for the cuboid on the 1 cm² grid, starting from the given 6 cm by 3 cm face.

  1. 1The net needs two 6 × 3, two 6 × 2 and two 3 × 2 rectangles
  2. 2Attach 6 × 2 rectangles to the 6 cm sides and 3 × 2 rectangles to the 3 cm sides of the drawn face
  3. 3Attach the second 6 × 3 face to the far side of one 6 × 2 rectangle

AnswerFully correct net

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Also searched as: 0580/32/O/N/23 · 0580_w23_qp_32 · 0580 w23 32 · question 2.
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