Year 8 straight-line graphs test to download as PDF

This Year 8 straight-line graphs test lasts 45 minutes and is marked out of 20. It covers the whole chapter for pupils aged 12-13, and the full answers are on a separate page.

⏱️ Duration : 45 min
🎯 Total : 20 marks
❓ 5 questions

Mark/20

Question 1 – Gradient and equation
Answer all parts. Show your working.
1. Find the gradient of the line through \((2,3)\) and \((6,11)\). (2 marks)
2. Write down the gradient and intercept of \(y=5-2x\). (1 mark)
3. Find the equation of the line with gradient 3 through \((0,-4)\). (1 mark)
Question 2 – Table and parallel
Look at the line \(y=2x-3\).
1. Complete a table of values for \(x=-1,0,1,2,3\). (2 marks)
2. Is the point \((5,8)\) on the line? Show how you know. (1 mark)
3. Write the equation of a line parallel to this line passing through \((0,6)\). (1 mark)
Question 3 – Midpoint
The points \(A(-3,2)\) and \(B(5,-6)\) are the ends of a line.
1. Find the midpoint of \(AB\). (2 marks)
2. Find the gradient of \(AB\). (1 mark)
3. Write the equation of the line \(AB\). (1 mark)
Question 4 – Problem: the hire shop
A shop hires a ladder for £10 plus £6 per day. Another shop charges £4 plus £8 per day.
1. Write an equation for each hire cost \(C\) for \(d\) days. (1 mark)
2. Find the number of days for which the two shops charge the same. (2 marks)
3. Which shop is cheaper for 5 days? (1 mark)
Question 5 – Problem: the cinema graph
A cinema club charges a joining fee of £15 and then £4 per film. Another club charges £7 per film with no joining fee.
1. Write an equation for each club. (1 mark)
2. Find the number of films for which the costs are equal. (2 marks)
3. Maya plans to watch 8 films. Which club is cheaper and by how much? (1 mark)

How to use this Year 8 straight-line graphs test

First, revise with the straight-line graphs lesson and the worksheet. Then sit the test in one go, with a timer set to 45 minutes. After that, mark your work with the straight-line graphs test answers. If you lose marks on a question, redo it the next day without help.

Finally, you can download this Year 8 straight-line graphs test as a PDF and print it like a real exam paper. Moreover, all the pages of this chapter work together, so you can move between them at any time. For example, many pupils read the lesson on Monday, practise on Wednesday and test themselves on Friday.