Real-Life Graphs Practice Questions

Write down how long Jess waited at the shop.

.................................................... minutes

Work out Jess's speed, in km/h, on her journey from her home to the shop.

.................................................... km/h

Work out Jess's speed, in km/h, on her journey from the shop back to her home.

.................................................... km/h

Use the graph to convert £15 to Swedish krona.

.................................................... kr

Use the graph to convert 420 krona to pounds.

£ ....................................................

Bruno changes £120 into Swedish krona.

Work out how many krona he should get.

.................................................... kr

Find the gradient of the graph.

Explain what this gradient represents.

The graph intersects the cost axis at $C = 8$.

Explain what this intercept represents.

Work out the acceleration of the train during the first 10 seconds.

.................................................... m/s$^2$

Between which two times is the train travelling at a constant speed?

Work out the rate at which the train is decelerating during the last 20 seconds of the journey shown.

.................................................... m/s$^2$

Describe what is happening between 09:45 and 10:00.

Work out the speed of the van, in km/h, between 09:00 and 09:45.

.................................................... km/h

At 10:00 the van drives a further 10 km away from the depot, arriving at 10:15.

It waits there for 15 minutes and then returns directly to the depot, arriving at 11:00.

Complete the travel graph.

Work out the speed of the van, in km/h, on its return journey to the depot.

.................................................... km/h

Complete the table.

On the grid, plot the points from the table and draw the graph of $T$ against $r$ for $2 \le r \le 12$.

Use your graph to estimate the time taken to fill the water butt when the water flows in at a rate of 8 litres per minute.

.................................................... minutes

Explain what the horizontal section of the graph tells you about plan A.

Work out the gradient of the graph for $d > 8$ and interpret this value.

In one month Kiran uses 15 GB of data.

Assuming the same rate continues, work out the cost of plan A for that month.

£ ....................................................

Plan B has no fixed monthly charge. It costs £2.50 for each gigabyte of data used.

Find the amount of data, greater than 8 GB, for which plan A and plan B cost the same amount.

.................................................... GB