Year 9 graphs test to download as PDF

This Year 9 graphs test lasts 45 minutes and is marked out of 20. It covers the whole chapter for pupils aged 13-14, and the full answers are on a separate page.

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

Mark/20

Question 1 – A table of values
Complete the table of values for \(y=3x-2\).
\(x\) -1 0 1 2 3
\(y\) ? ? ? ? ?
1. Write the missing values of \(y\). (2 marks)
2. Write down the gradient and the \(y\)-intercept. (2 marks)
Question 2 – A quadratic curve
Here is the table for \(y=x^2-2x-3\).
\(x\) -2 -1 0 1 2 3 4
\(y\) ? 0 -3 ? -3 0 ?
1. Complete the table. (2 marks)
2. Write down the roots of \(x^2-2x-3=0\). (1 mark)
3. Write down the coordinates of the turning point. (1 mark)
Question 3 – Equation of a line
A line passes through \((0,-2)\) and \((3,4)\).
1. Find its gradient. (1 mark)
2. Write its equation. (1 mark)
3. Show that \((5,8)\) lies on the line. (1 mark)
4. Write the equation of the parallel line through \((0,5)\). (1 mark)
Question 4 – Problem: choosing a gym
Gym A charges £20 to join and then £12 per month. Gym B charges £30 to join and then £10 per month.
1. Write an equation for the total cost \(y\) pounds after \(x\) months for each gym. (2 marks)
2. After how many months do the two gyms cost the same, and what is the cost? (2 marks)
Question 5 – Problem: the thrown ball
A ball is thrown. Its height \(h\) metres at distance \(x\) metres is \(h=x(8-x)\).
\(x\) 0 2 4 6 8
\(h\) 0 ? 16 ? 0
1. Complete the table. (2 marks)
2. State the maximum height and the distance at which it happens. (1 mark)
3. State how far the ball travels before landing. (1 mark)

\(x\)	-1	0	1	2	3
\(y\)	?	?	?	?	?

\(x\)	-2	-1	0	1	2	3	4
\(y\)	?	0	-3	?	-3	0	?

\(x\)	0	2	4	6	8
\(h\)	0	?	16	?	0

How to use this Year 9 graphs test

First, revise with the graphs: linear and quadratic 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 graphs: linear and quadratic test answers. If you lose marks on a question, redo it the next day without help.

Finally, you can download this Year 9 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.