AI generatedAlgebraKey Stage 3

Interpreting graphs in an unfamiliar context

Interpreting graphs in an unfamiliar context.

  • Check axis labels and scales before reading values.
  • Use key points and the correct curve shape. Join a curved graph smoothly.
  • An asymptote is approached; do not join separate branches across it.

Example 1

The graph shows the volume of water in a tank. Read the initial volume and the volume after 2 minutes.

Coordinate graph0.511.522.533.5424681012140
Read where the graph meets the vertical axis.Move up from the chosen time, then across to the volume axis.
Initially 2 litres; after 2 minutes, 8 litres.

Example 2

The graph shows the volume of water in a tank. Read the initial volume and the volume after 3 minutes.

Coordinate graph123452.557.51012.5150
Read where the graph meets the vertical axis.Move up from the chosen time, then across to the volume axis.
Initially 2 litres; after 3 minutes, 11 litres.

Your turn

Question 1

The graph shows the volume of water in a tank. Read the initial volume and the volume after 4 minutes.

Coordinate graph1234562.557.51012.51517.5200
Check answer
Read where the graph meets the vertical axis.Move up from the chosen time, then across to the volume axis.
Initially 2 litres; after 4 minutes, 14 litres.
Question 2

The graph shows the volume of water in a tank. Read the initial volume and the volume after 5 minutes.

Coordinate graph123456751015200
Check answer
Read where the graph meets the vertical axis.Move up from the chosen time, then across to the volume axis.
Initially 3 litres; after 5 minutes, 18 litres.
Question 3

The graph shows the volume of water in a tank. Read the initial volume and the volume after 6 minutes.

Coordinate graph123456785101520250
Check answer
Read where the graph meets the vertical axis.Move up from the chosen time, then across to the volume axis.
Initially 3 litres; after 6 minutes, 21 litres.
Question 4

The graph shows the volume of water in a tank. Read the initial volume and the volume after 7 minutes.

Coordinate graph123456789510152025300
Check answer
Read where the graph meets the vertical axis.Move up from the chosen time, then across to the volume axis.
Initially 3 litres; after 7 minutes, 24 litres.
Question 5

The graph shows the volume of water in a tank. Read the initial volume and the volume after 8 minutes.

Coordinate graph246810510152025300
Check answer
Read where the graph meets the vertical axis.Move up from the chosen time, then across to the volume axis.
Initially 4 litres; after 8 minutes, 28 litres.
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