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CSEC Mathematics · January 2014 · Paper 2 · Question 5(b)(i)

The diagram below, not drawn to scale, shows a block of metal in the shape of a prism. The cross section of the block is a trapezium, PQRS, with parallel sides QR and PS, and PQ, the perpendicular distance between the sides. PQ = 15 cm, QR = 6 cm, PS = 12 cm and ST = 3 cm.

Calculate the area of the trapezium PQRS.

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Other parts of this question

  1. 5(a)(i)Using a ruler, a pencil and a pair of compasses, construct triangle ABC with BC = 10 cm, AB = 6 cm and AC = 8 cm.[3 marks]
  2. 5(a)(ii)Measure and state the size of angle ABC.[1 mark]
  3. 5(a)(iii)Complete the diagram to show a quadrilateral, CABD, such that CD = CA and BD = BA.[2 marks]
  4. 5(b)(ii)Calculate the volume of the block of metal.[1 mark]
  5. 5(b)(iii)Calculate, in grams, the mass of ONE cubic centimetre of metal.[3 marks]

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