Real Life and Distance Time Graphs worksheet
9 GCSE practice questions with answers, free to print. Every sheet is generated, so you can make a fresh one whenever you need it.
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3 marks
Reuben cycles along a straight road at a steady speed.
The distance-time graph shows the first \(30\) seconds of the journey.
(a)How far had Reuben travelled after \(5\) seconds?
(b)Work out Reuben's speed. Give your answer in metres per second.
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3 marks
Amara drives a delivery van away from the depot, stops to make a delivery, then drives further on to a second delivery.
(a)For how many minutes was the van stopped at the first delivery?
(b)How far was the van from the depot at the end of the journey?
(c)Between \(40\) minutes and \(50\) minutes the graph is horizontal.
Write down what this tells you about the van.
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5 marks
Erin drives from home to a garden centre, stays there for a while, then drives straight home again.
(a)For how many minutes did Erin stay at the garden centre?
(b)Work out Erin's speed on the journey to the garden centre.
Give your answer in kilometres per hour.
(c)The journey there and the journey home cover the same distance.
Which of the two was faster?
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4 marks
A train travels from Derby to Nottingham at a steady speed.
The distance axis is numbered every \(20\) km, with a smaller square every \(5\) km.
(a)Use the graph to work out how far the train had travelled after \(30\) minutes.
(b)Work out the average speed of the train.
Give your answer in kilometres per hour.
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5 marks
Two runners set off together and each runs at a steady speed for \(40\) seconds.
Runner \(X\) and runner \(Y\) are shown on the same grid.
(a)Write down which of the two runners was running faster.
(b)Find the speed of runner \(X\). Give your answer in metres per second.
(c)How much further had runner \(X\) run than runner \(Y\) after \(40\) seconds?
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3 marks
Joel cycles along a straight road at a steady speed.
The distance-time graph shows the first \(30\) seconds of the journey.
(a)How far had Joel travelled after \(10\) seconds?
(b)Work out Joel's speed. Give your answer in metres per second.
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3 marks
Joel drives a delivery van away from the depot, stops to make a delivery, then drives further on to a second delivery.
(a)For how many minutes was the van stopped at the first delivery?
(b)How far was the van from the depot at the end of the journey?
(c)Between \(30\) minutes and \(60\) minutes the graph is horizontal.
Write down what this tells you about the van.
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5 marks
Callum drives from home to a garden centre, stays there for a while, then drives straight home again.
(a)For how many minutes did Callum stay at the garden centre?
(b)Work out Callum's speed on the journey to the garden centre.
Give your answer in kilometres per hour.
(c)The journey there and the journey home cover the same distance.
Which of the two was faster?
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4 marks
A train travels from Derby to Nottingham at a steady speed.
The distance axis is numbered every \(20\) km, with a smaller square every \(5\) km.
(a)Use the graph to work out how far the train had travelled after \(25\) minutes.
(b)Find the average speed of the train.
Give your answer in kilometres per hour.
Answers
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(a) \(15\ \text{m}\)
(b) \(3\ \text{m/s}\) -
(a) \(10\ \text{minutes}\)
(b) \(16\ \text{km}\)
(c) The van was not moving. It stayed 8 km from the depot while the delivery was made. -
(a) \(10\ \text{minutes}\)
(b) \(45\ \text{km/h}\)
(c) The outward journey -
(a) \(50\ \text{km}\)
(b) \(100\ \text{km/h}\) -
(a) Runner X
(b) \(5\ \text{m/s}\)
(c) \(120\ \text{m}\) -
(a) \(30\ \text{m}\)
(b) \(3\ \text{m/s}\) -
(a) \(30\ \text{minutes}\)
(b) \(60\ \text{km}\)
(c) The van was not moving. It stayed 30 km from the depot while the delivery was made. -
(a) \(10\ \text{minutes}\)
(b) \(45\ \text{km/h}\)
(c) The return journey -
(a) \(50\ \text{km}\)
(b) \(120\ \text{km/h}\)