Year 9 real-life graphs test to download as PDF

This Year 9 real-life 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 journey graph
A van leaves a depot. For the first 2 hours it travels 80 km. It then stops for 30 minutes. For the next 1.5 hours it travels a further 90 km.
1. Find the speed in the first 2 hours. (1 mark)
2. For how many minutes is the van stationary? (1 mark)
3. Find the speed in the last 1.5 hours. (1 mark)
4. Find the total distance. (1 mark)
Question 2 – A conversion formula
The formula \(F=1.8C+32\) converts degrees Celsius to degrees Fahrenheit.
1. Convert \(35^\circ\)C to \(^\circ\)F. (1 mark)
2. Convert \(68^\circ\)F to \(^\circ\)C. (1 mark)
3. What does the number 1.8 tell you about the graph? (1 mark)
4. Show that \(-40^\circ\)C is the same as \(-40^\circ\)F. (1 mark)
Question 3 – A mobile plan
A plan costs £12 per month for up to 4 GB of data, then £3 for each extra GB.
1. Find the cost for 3 GB. (1 mark)
2. Find the cost for 7 GB. (1 mark)
3. Find the cost for 10 GB. (1 mark)
4. A customer pays £27. How much data did she use? (1 mark)
Question 4 – Problem: savings that grow
Ben invests £500. It grows by 4% each year. Its value after \(t\) years is \(V=500\times1.04^t\).
1. Find the value after 1 year. (1 mark)
2. Find the value after 3 years to the nearest penny. (1 mark)
3. After how many years does the value first exceed £600? Show the values for 4 and 5 years. (2 marks)
Question 5 – Problem: sharing work
The time \(t\) hours for \(n\) volunteers to clear a field is \(t=\dfrac{36}{n}\).
1. Find \(t\) for 4 volunteers. (1 mark)
2. Find \(t\) for 9 volunteers. (1 mark)
3. How many volunteers are needed to finish in 3 hours? (1 mark)
4. Describe the shape of the graph of \(t\) against \(n\). (1 mark)

How to use this Year 9 real-life graphs test

First, revise with the real-life 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 real-life graphs test answers. If you lose marks on a question, redo it the next day without help.

Finally, you can download this Year 9 real-life 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.