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3 marksMeasurement Problems

CSEC Mathematics · May/June 2018 · Paper 2 · Question 6(a)(iii)

In this question, take the value of π to be 22/7. The diagram below, not drawn to scale, shows the cross-section of a circular metal disc of radius 21 mm. A square hole with sides 6 mm is located at the centre of the disc. Calculate

Given that the thickness of the disc is 2 mm, calculate the maximum number of discs that can be constructed from 1000 cm³ of available metal. (1 cm³ = 1 000 mm³)

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Other parts of this question

  1. 6(a)(i)the circumference of the disc[1 mark]
  2. 6(a)(ii)the area, in mm², of the cross-section of the disc.[2 marks]
  3. 6(b)(i)What length of string would represent an actual distance of 500 km on the globe?[1 mark]
  4. 6(b)(ii)The distance between Palmyra (P) and Quintec (Q) is represented on the globe by a string of length 25 cm. Calculate the value of PQ, the actual distance, in…[2 marks]

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