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Linear Relationships

We estimate MS1-11-LR is worth about 2 marks out of 100 under the new Mathematics Standard 1 syllabus. Practise 4 exam-style questions (multiple choice, multi-part) with instant marking and a worked solution for every question.

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Topic notes

Gradient and y-intercept, the equation y = mx + c, graphing and interpreting straight-line models, limitations of linear models, and direct variation y = kx, with step-by-step worked examples.

  1. 1What you need to know
  2. 2Gradient and intercept
  3. 3Linear models in context
  4. 4Direct variation
  5. 5Common mistakes
  6. 6Exam tips
  7. 7Links to other topics
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Example questions

Example 1 · 1 mark · multiple choice

The cost of hiring a trailer is , where is the cost in dollars and is the distance travelled in kilometres. What does the number 1.8 represent?

  1. AThe cost for each extra kilometre travelled
  2. BThe fixed cost of hiring the trailer
  3. CThe total cost of hiring the trailer
  4. DThe number of kilometres the trailer can travel

Example 2 · 2 marks · multi-part

A water tank is being drained at a constant rate. At 8 am it holds 1800 L, and at 2 pm (6 hours later) it holds 1350 L.

Answers and worked solutions appear when you practise these questions.

Other Mathematics Standard 1 topics