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Direct-proportion practice

Direct-proportion practice

Secondary 2
6 marks
TGM Original Questions

The mass \(m\) grams of an alloy rod is directly proportional to its length \(l\) cm. A rod of length \(12\) cm has mass \(90\) g.

  1. Find the equation connecting \(m\) and \(l\).[2]
  2. Find the mass of a \(20\) cm rod.[1]
  3. Draw the graph for \(0\le l\le20\), using \(l=0,4,8,12,16,20\).[2]
  4. State the feature of the graph that supports direct proportion.[1]

Solution:

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Answer:(a) \(m=7.5l\). (b) \(150\) g. (c) Table: \(0,30,60,90,120,150\) g; see graph. (d) Straight line through the origin.

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