# Extended Mathematics for IGCSE Extended Mathematics for IGCSE

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Extended Mathematics for IGCSE Extended Mathematics for IGCSE Extended Mathematics for IGCSE Extended Mathematics for IGCSE Before you start you need to be able to do problems like Extended Mathematics for IGCSE ‘If you need 120 g of flour to make 4 buns, how much do you need to Extended Mathematics for IGCSE make 15 buns? ’ Extended Mathematics for IGCSE Extended Mathematics Learning outcomes for IGCSE Extended Mathematics for IGCSE This work will help you Extended Mathematics for IGCSE Extended Mathematics IGCSE and Extended • calculate speeds, for distances times Mathematics for IGCSE Extended Mathematics for IGCSE • read. Mathematics and draw travel graphs Extended Mathematics for IGCSE Extended Mathematics for IGCSE Extended Mathematics for IGCSE Extended Mathematics for IGCSE Speed distance, time

Speed Gonzalez 24 cm in 4 minutes Blitz 35 cm in 7 minutes 33 cm in 5 minutes 39 cm in 6 minutes Nijinsky Which Snail is fastest? Which is slowest? Rocket

Worked example What is the speed in m. p. h. , of a ship which travels 15 miles in 2. 5 hours?

A man is running at a speed of 8 km/h for a distance of 5200 metres find the time taken in minutes

Change the units of a speed of 54 km/h into metres per second 15

Distance in metres from S 55 50 Red Car 2 seconds second 31 45 40 A 35 30 25 20 15 10 Blue Car 5 S 0 0 0. 5 1 1. 5 2 Times in seconds 2. 5 3 3. 5

90 Benmouth 80 Distance from Ashbridge in miles 70 60 50 40 Julie Edward 30 20 10 Ashbridge 0 7: 00 7. 50 8: 00 8. 50 9: 00 9. 50 Time 10: 00 11: 00 12: 00 10. 50 11. 00 11. 50 12. 00

70 Distance from London in miles Seaside 60 Kylie 50 40 Lee 30 20 10 London 0 08: 008. 50 8. 00 09: 00 9. 50 10. 00 10: 00 10. 50 11. 00 11: 00 11. 50 12. 00 12: 00 12. 50 13: 00 9. 00 13. 50 14: 00 14. 00 Time

Calculating distances A car travelling at 12 metres per second goes …

Mixing units Worked example A train travels 12 miles in 6 minutes. Calculate its average speed in m. p. h. In 6 minutes it goes 12 miles. So in 1 minute it goes So in 60 minutes it goes

Hours and minutes on a calculator When you use these formulas, … … you must be careful about units. Distance Time Speed miles hours miles per hour metres seconds metres per second kilometres minutes kilometres per minute

Worked example A ship travels 37 miles in 1 hour 25 minutes. Calculate its average speed in m. p. h. First change 25 minutes to hours by dividing 60. So 1 hour 25 minutes = 1. 41666…hours

Calculating Times Worked example A canal boat travels at 5 kilometres per hour. How long does it take to travel 30 kilometres? Imagine the distance the boat has to travel. In each hour it travels 5 km 1 hour 5 km So find how many 5 s are in 30. 30 km

Using a calculator Worked example A lifeboat travels at 35 kilometres per hour. How long does it take to reach a ship in danger 48 kilometres away? Use the formula Change the decimal of an hour to minutes by multiplying by 60. So the time taken is 1 hour 22 minutes

Speed-time graphs Find: a. the total distance travelled, b. the average speed for the whole journey, c. the distance travelled in the first 10 seconds, d. the acceleration when t = 20. t