Year 10 straight-line graphs test to download as PDF

This Year 10 straight-line graphs test lasts 45 minutes and is marked out of 20. It covers the whole chapter for pupils aged 14-15, and the full answers are on a separate page.

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

Mark/20

Question 1 – Gradient and equation
Calculator allowed.
1. Find the gradient of the line through \((1,4)\) and \((5,16)\). (2 marks)
2. Find the equation of this line. (2 marks)
Question 2 – Points and lines
A line has equation \(y=3x-2\).
1. Does the point \((4,10)\) lie on the line? Show your working. (1 mark)
2. Write down the equation of a line parallel to this line passing through \((0,5)\). (1 mark)
3. Find where the line crosses the \(x\)-axis. (2 marks)
Question 3 – Midpoint and length
A is \((-2,1)\) and B is \((6,7)\).
1. Find the midpoint of AB. (2 marks)
2. Find the length of AB. (2 marks)
Question 4 – Problem: the gas bill
A gas company charges a standing charge plus a price per unit. For 200 units the bill is £48 and for 500 units the bill is £93.
1. Find the price per unit, the gradient of the line. (2 marks)
2. Find the standing charge. (1 mark)
3. Find the bill for 350 units. (1 mark)
Question 5 – Higher: perpendicular lines
Higher tier. Line L has equation \(y=\tfrac12x+3\).
1. Write down the gradient of a line perpendicular to L. (1 mark)
2. Find the equation of the line perpendicular to L through \((2,7)\). (3 marks)

How to use this Year 10 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 10 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.