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.

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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

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

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

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

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

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 = 72 45 =1.6 1.6 Answer cm/s

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