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4MA1/2FR Jun 2020, Question 5: Area of a Parallelogram and Trapezium

Pearson Edexcel International GCSE Mathematics A 4MA1 · Paper 2FR (Foundation) · Calculator · 6 marks

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The question, in short

Use a grid diagram of quadrilateral ABCD to measure a side, name the shape, state its rotational symmetry order, mark an obtuse angle, then find a trapezium's area from 6 cm, 10 cm and 4 cm.

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

Part (a) · 1 mark

Find how long side BC is by measuring it on the grid.

  1. 1Measure the length of BC using a ruler
  2. 2BC = 3.1 cm (within range 3.0 − 3.2)

Answer3.0 − 3.2

Part (b) · 1 mark

Give the correct mathematical name for the quadrilateral ABCD.

  1. 1Identify properties: opposite sides parallel and equal
  2. 2Quadrilateral ABCD has two pairs of parallel sides
  3. 3Name: Parallelogram

AnswerParallelogram

Part (c) · 1 mark

State how many positions the quadrilateral looks the same when rotated.

  1. 1Check how many times the shape looks the same during a full rotation
  2. 2Shape matches itself twice in one full turn
  3. 3Order of rotational symmetry = 2

Answer2

Part (d) · 1 mark

Put the letter x inside one angle of the quadrilateral that is obtuse.

  1. 1Locate angles DAB and DCB
  2. 2Both are obtuse angles
  3. 3Mark angle DAB or angle DCB or both with the letter x

AnswerCorrectly labelled

Part (e) · 2 marks

Calculate the area of the trapezium using parallel sides 6 cm and 10 cm with height 4 cm.

  1. 1Use trapezium area formula: (sum of parallel sides) × height ÷ 2
  2. 2(6 + 10) × 4 ÷ 2
  3. 316 × 4 ÷ 2
  4. 464 ÷ 2
  5. 532

Answer32

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