# Unit 3 Section 6 : Conversion graphs

A conversion graph can be used to change one quantity to another when the units are changed.

## Example Question

Look at the conversion graph below. The vertical axis shows miles per hour and the horizontal axis shows kilometres per hour. The line on the graph can be used to convert speeds from mph to kmph and back again. To convert 50 mph into kmph Start by finding 50 on the mph axis. When you have found it, click on the graph and follow the red arrow across to the conversion line. Now click on the graph again and follow the red arrow down to the kmph axis. The value is 80 kmph, so 50 mph = 80 kmph To convert 100 kmph into mph This time find 100 on the kmph axis. Click on the graph and follow the blue arrow up to the conversion line. Now click on the graph again and follow the blue arrow left to the mph axis. The value is 63 mph, so 100 kmph = 63 mph
Remember that you need to read the graph accurately to get accurate answers. When you answer the questions in this section, the computer will allow for a small amount of inaccuracy but you should read the graphs as carefully as you can.

## Exercises

Work out the answers to the questions below and fill in the boxes. Click on the button to find out whether you have answered correctly. If you are right then will appear and you should move on to the next question. If appears then your answer is wrong. Click on to clear your original answer and have another go. If you can't work out the right answer then click on to see the answer.

Question 1
The graph below can be used to convert between French Francs* and British Pounds.
* French Francs were used in France before the Euro (a) Convert these amounts to French Francs.
 (i) £3.00 is FF  (ii) £7.00 is FF  (iii) £4.50 is FF  (b) Convert these amounts to British Pounds.
 (i) 80 FF is £  (ii) 60 FF is £  (iii) 25 FF is £  Question 2
The graph below can be used for converting between weight in kilograms (kg) and weight in pounds (lb). (a) Convert these from kilograms to pounds.
 (i) 30 kg is lb  (ii) 10 kg is lb  (iii) 45 kg is lb  (b) Convert these from pounds to kilograms.
 (i) 110 lb is kg  (ii) 20 lb is kg  (iii) 85 lb is kg  Question 3
The graph below can be used for converting between length in metres (m) and length in feet (ft). Use the graph to answer the following questions.
 (a) In a long-jump competition, Mohammed jumps 4 metres and James jumps 12 feet. Who wins? Mohammed James  (b) Which is longer, 20 feet or 6.5 metres? 20 feet 6.5 metres  (c) Philip says that 8 metres is less than 28 feet. Is he right? Yes No  (d) A rope is 9 m long. What is its length to the nearest foot?  (e) A new flagpole arrives at a school. It is 1 metre taller than the old one. The old flagpole was 18 feet tall. How tall (in metres) is the new flagpole ? metres  You have now completed Unit 3 Section 6
 Your overall score for this section is Correct Answers You answered questions correctly out of the questions in this section. Incorrect Answers There were questions where you used the Tell Me button. There were questions with wrong answers. There were questions you didn't attempt.
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