1. Depth-Time Graphs – Higher – GCSE Questions – AQA
These questions are the same format as previous GCSE exams.
COPY means they use the exact same numbers as the original GCSE question.
Otherwise, they are clone questions using different numbers.
The worksheets are provided in 2 sizes.

2. Printing To print handouts from slides -
Select the slide from the left. Then click:
File > Print > ‘Print Current Slide’
To print multiple slides -
Click on a section title to highlight all those slides,
or press ‘Ctrl’ at the same time as selecting slides to
highlight more than one. Then click:
File > Print > ‘Print Selection’
To print double-sided handouts -
Highlight both slides before using ‘Print Selection’.
Choose ‘Print on Both Sides’ and ‘Flip on Short Edge’.

3. AQA Higher: June 2017 Paper 3, Q15 AQA Higher: June 2017 Paper 3, Q15
The graph shows the depth of water in a harbour for 12 hours.
d is the depth of water in a harbour in metres
t is the number of hours after 9 am 1
The graph shows the depth of water in a harbour for 12 hours.
d is the depth of water in a harbour in metres
t is the number of hours after 9 am
1 (a)
For how many of the 12 hours is the depth less than 3 metres?
1 (a)
For how many of the 12 hours is the depth less than 3 metres?
[1 mark]
[1 mark]
Answer
Answer
1 (b)
By how much does the depth change between 10 am and 1 pm?
1 (b)
By how much does the depth change between 10 am and 1 pm?
[1 mark]
[1 mark]
Answer
Answer

5. AQA Higher: November 2017 Paper 3, Q25
Liquid is leaking out of a container.
The graph shows the depth of the liquid for 60 seconds. 1
Liquid is leaking out of a container.
The graph shows the depth of the liquid for 60 seconds.
120
120
100
100 80 80
Depth (cm) 60
Depth (cm) 60 40 40 20 20 10 20 30 40 50 60 10 20 30 40 50 60
Time (seconds)
Time (seconds) 1
Use the graph to work out an estimate of
the rate of decrease of depth at 20 seconds.
You must show your working. 1
Use the graph to work out an estimate of
the rate of decrease of depth at 20 seconds.
You must show your working.
[3 marks]
[3 marks]
Answer
cm/s
Answer
cm/s

7. AQA Higher: June 2017 Paper 3, Q15
The graph shows the depth of water in a harbour for 12 hours.
d is the depth of water in a harbour in metres
t is the number of hours after 9 am
1 (a)
For how many of the 12 hours is the depth less than 3 metres?
[1 mark]
Answer
1 (b)
By how much does the depth change between 10 am and 1 pm?
[1 mark]
Answer

8. AQA Higher: November 2017 Paper 3, Q25
Liquid is leaking out of a container.
The graph shows the depth of the liquid for 60 seconds.
120
100 80
Depth (cm) 60 40 20 10 20 30 40 50 60
Time (seconds) 1
Use the graph to work out an estimate of
the rate of decrease of depth at 20 seconds.
You must show your working.
[3 marks]
Answer
cm/s

9. 10 am 1 pm 4 4 metres AQA Higher: June 2017 Paper 3, Q15 1
The graph shows the depth of water in a harbour for 12 hours.
d is the depth of water in a harbour in metres
t is the number of hours after 9 am
10 am
1 pm
1 (a)
For how many of the 12 hours is the depth less than 3 metres? 4
[1 mark]
Answer
1 (b)
By how much does the depth change between 10 am and 1 pm?
4 metres
[1 mark]
Answer

10. 72 cm 45 seconds Gradient of tangent at T = 20
AQA Higher: November 2017 Paper 3, Q25 1
Liquid is leaking out of a container.
The graph shows the depth of the liquid for 60 seconds.
120
100 80
Depth (cm) 60
72 cm 40 20 10 20 30 40 50 60
45 seconds
Time (seconds) 1
Use the graph to work out an estimate of
the rate of decrease of depth at 20 seconds.
You must show your working.
[3 marks]
Gradient of tangent at T = 20
Gradient = 𝑐ℎ𝑎𝑛𝑔𝑒 𝑖𝑛 𝑦 𝑐ℎ𝑎𝑛𝑔𝑒 𝑖𝑛 𝑥 = =1.6
1.6
Answer
cm/s

11. tom@goteachmaths.co.uk Questions? Comments? Suggestions?
…or have you found a mistake!?
Any feedback would be appreciated .
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