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GCSE Mathematics. Targeting Grade C. Unit 3 Algebra 3 Travel Graphs. Can you: If not you need Remember the key points about travel graphs Answer examination questions Involving: Calculating how long was a rest Calculating how far did they travel

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Presentation Transcript
slide1

GCSE Mathematics

Targeting Grade C

Unit 3

Algebra 3

Travel Graphs

slide2

Can you:

  • If not you need
  • Remember the key points about
  • travel graphs
  • Answer examination questions
  • Involving:
  • Calculating how long was a rest
  • Calculating how far did they travel
  • Working out the average speed
  • Completing a travel graph

Review 1: Key facts

Practice 1: GCSE questions

Question 1

Question 2

Question 3

Question 4

Question 5

Question 6

travel graphs always the same and always easy
Travel graphs – Always the same and always easy!

The Four Key Points:

  • A travel graphs is always

DISTANCE against TIME

  • FLAT sections are where it’s STOPPED
  • The STEEPER the graph

the FASTER it’s going

  • For any section,

SLOPE (gradient) = SPEED

Remember SPEED = Distance ÷ Time

lesson

1 jane drove 320 km from her home to the airport the travel graph shows jane s journey
1. Jane drove 320 km from her home to the airport. The travel graph shows Jane’s journey.

Click for answers

During the journey, Jane stopped for lunch.

(a) (i) For how long did Jane stop for lunch?

(ii) How far had Jane travelled in the first 90 minutes?

(b) Work out the steady speed that Jane travelled at after lunch.

30 minutes

120 Km

60 Km/Hr

Continue

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Jane’s car uses 1 gallon of petrol for each 40 miles.A gallon of petrol costs £3.20(c) Work out the cost of petrol for Jane’s 320 km journey.

Click for answers

£25.60

More questions

here is part of a travel graph of si n s journey from her house to the shops and back
Here is part of a travel graph of Siân’s journey from her house to theshops and back.

Click for answer

(a) Work out Siân’s speed for the first 30 minutes of her journey. Give your answer in km/h.

40 Km/Hr

More questions

slide7

Click for answers

Siân spends 15 minutes at the shops.She then travels back to her house at 60 km/h.

(b) Copy and complete the travel graph.

More questions

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3. A man left home at 12 noon to go for a cycle ride. The travel graph represents part of the man’s journey.

Click for answers

At 12.45pm the man stopped for a rest.

(a) For how many minutes did he rest?

(b) Find his distance from home at 1.30pm.

15 minutes

15 Km

More questions

slide9

Click for answers

The man stopped for another rest at 2pm.

He rested for one hour.

Then he cycled home at a steady speed. It took him 2 hours.

(c) Copy and complete the travel graph.

More questions

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4. James left home at 10 00 am. He walked to the swimming pool. On the way to the swimming pool he stopped to talk to a friend. Here is the distance-time graph for his complete journey.

More questions

slide11

Click for answers

(a) For how many minutes did James stop and talk to his friend?

(b) What is the distance from James’ home to the swimming pool?

45 minutes

5 Km

More questions

5 the graph shows the rate of rainfall in mm per hour one afternoon last year
5. The graph shows the rate of rainfall, in mm per hour, one afternoon last year.

Click for answers

(a) At what time did it start to rain?

(b) What was the rate of rainfall at 1700 in mm per hour?

(c) What happened to the rate of rainfall between 1600 and 1615?

13.30

1.5 mm/hr

More questions

It increased

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6. Robert left school at 3 30 pm. He walked home. On the way home, he stopped to talk to a friend. His sister, Sarah, left the same school at 3 45 pm. She cycled home using the same route as Robert. Here are the distance-time graphs for Robert’s and Sarah’s complete journeys.

More questions

slide14

Click for answers

(a) Find the distance Robert walked during the first 10 minutes of his journey.

(b) Find the total time that Robert stopped to talk to his friend.

(c) Write down the distance that Robert had walked when Sarah cycled past him.

1 Km

30 minutes

2 Km

Lesson