1. Lisa McNulty Direct Proportion Percentages Fractions Ratios Similar Shapes Conversions Pie Charts

2. Lisa McNulty Which fraction is the same as this one?

3. Lisa McNulty Which fraction is the same as this one?

4. Lisa McNulty Which fraction is the same as this one?

5. Lisa McNulty Which fraction is the same as this one?

6. Lisa McNulty 40 0 1 2 34 5 6 78 9 4 8 12 16 20 24 28 32 36 0 10 If 1 book costs £4 and 2 books cost £8 etc… We can represent this by using a number line like the one below Number of books Cost (£)

7. Lisa McNulty 0 40 1 2 34 5 6 78 9 4 8 12 16 20 24 28 32 36 010 If we write the pairs of numbers as fractions we get the following: ========= =========

8. Lisa McNulty 050 1 2 34 5 6 78 9 5 10 15 20 25 30 35 40 45 010 If 1 CD costs £5 and 2 CD’s cost £10 etc… We can represent this by using a number line like the one below Number of books Cost (£)

9. Lisa McNulty 1 2 34 5 6 78 9 5 10 15 20 25 30 35 40 45 050 010 If we write the pairs of numbers as fractions we get the following: ========= =========

10. Lisa McNulty If 6 apples cost £1.50 then what is the cost of 10 apples?

11. Lisa McNulty 6 Apples cost £1.50, what would be the cost of 10 Apples? Extract Information: Apples 610 Cost £1.50? Question: Calculation: Answer in Context: The cost of 10 Apples would be £2.50 Laying out the solution

12. Lisa McNulty If an ipod costing £94 is reduced by 16% in a sale, then what is the sale price?

13. Lisa McNulty An ipod cost £94, what is the cost if it is reduced by 16% Extract Information: Cost ?94 % 84100 Question: Calculation: Answer in Context: The cost of the ipod would be £78.96 Laying out the solution

14. Lisa McNulty If Jimmy scores 32 out of 46 in a test what percentage is this?

15. Lisa McNulty Jimmy scores 32 out of 46 in a test. What % is this? Extract Information: Score 32? Out of 46100 Question: Calculation: Answer in Context: Jimmy got 69.6% in the test. Laying out the solution

16. Lisa McNulty 80 students were asked about their favourite type of music. 27 said they preferred Rock music, how large would the angle be in a Pie Chart?

17. Lisa McNulty 27 out of 80 people like Rock music – what angle is this in a Pie Chart? Extract Information: Votes 27? Sections 80360 Question: Calculation: Answer in Context: The angle for Rock music would be 121.5 0 Laying out the solution

18. Lisa McNulty Misia has her wages increased by 6%. If her new wages are £8.45 per hour, what was she earning before?

19. Lisa McNulty If I earn £8.45 after a 6% increase – what was I earning before? Extract Information: Wage ?8.45 % 100106 Question: Calculation: Answer in Context: Misia used to earn £7.97 before the wage increase. Laying out the solution

20. Lisa McNulty Billy is mixing some paint and is told to used 5 litres of red paint for every 4 litres of white. He has to use 42 litres of red paint – how much white paint will he need?

21. Lisa McNulty If 5 litres of red needs 4 litres of white – then 42 litres of red needs ? white Extract Information: Red 542 White 4? Question: Calculation: Answer in Context: You would need 33.6 litres of white paint to go with the 42 litres of red Laying out the solution

22. Lisa McNulty Jane gives a gift of £900 to her two friends Celia and Ray in the ratio 3:5. How much money does Celia receive?

23. Lisa McNulty £900 is to be split in the ratio 3:5. How much was the smaller amount? Extract Information: Question: Calculation: Answer in Context: Celia received £337.50 from her friend Laying out the solution Money ?900 Share 358

24. Lisa McNulty I bought some shares for £2400 and sold them recently for £3150 – what percentage increase is this?

25. Lisa McNulty Shares costing £2400 were sold for £3150 What % increase is this? Extract Information: Question: Calculation: Answer in Context: My shares have increased in value by 31.25% Laying out the solution Value 24003150 % 100?

26. Lisa McNulty If two shapes below are similar, then what is the missing length? 23cm 36cm 8cm ? cm

27. Lisa McNulty If 23 scales down to 8 then what does 36 scale down to? Extract Information: Question: Calculation: Answer in Context: The missing length is 12.52 cm Laying out the solution Large 2336 Small 8?

28. Lisa McNulty 5 miles = 8 km approximately. The distance between Southampton and Birmingham is 133 miles. What is the distance in km?

29. Lisa McNulty If 5miles = 8km How far is 132 miles in km? Extract Information: Miles 5132 Km 8? Question: Calculation: Answer in Context: 132 miles is approximately 211km Laying out the solution

30. Lisa McNulty