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# Bounds

A coffee machine dispenses 130 millilitres of black coffee Into cups with a capacity of 175 millilitres. These values are accurate to 3 significant figures. Milk is supplied in small cartons which contain 21 millilitres, accurate to the nearest millilitre.

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## Bounds

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### Presentation Transcript

1. A coffee machine dispenses 130 millilitres of black coffee Into cups with a capacity of 175 millilitres. These values are accurate to 3 significant figures. Milk is supplied in small cartons which contain 21 millilitres, accurate to the nearest millilitre. Beryl likes milky coffee and always puts 2 cartons of milk in her coffee. Will Beryl’s cup ever overflow? Choose level of difficulty Bounds

2. Salima books a 7-night holiday in Aprilfor two adults. The travel agent adds a percentage surcharge to the cost of the holiday for booking fees. Salima’s final bill is £642.60 What was the percentage surcharge? A coffee machine dispenses 130 millilitres of black coffee Into cups with a capacity of 175 millilitres. These values are accurate to 3 significant figures. Milk is supplied in small cartons which contain 21 millilitres, accurate to the nearest millilitre. Beryl likes milky coffee and always puts 2 cartons of milk in her coffee. Will Beryl’s cup ever overflow? Help Step 1 Work out the upper and lower bound of the cup. What is the accuracy? Bounds

3. Salima books a 7-night holiday in April for two adults. The travel agent adds a percentage surcharge to the cost of the holiday for booking fees. Salima’s final bill is £642.60 What was the percentage surcharge? A coffee machine dispenses 130 millilitres of black coffee Into cups with a capacity of 175 millilitres. These values are accurate to 3 significant figures. Milk is supplied in small cartons which contain 21 millilitres, accurate to the nearest millilitre. Beryl likes milky coffee and always puts 2 cartons of milk in her coffee. Will Beryl’s cup ever overflow? Help Step 2 Work out the upper and lower bound of the amount of black coffee. What is the accuracy? Bounds

4. Salima books a 7-night holiday in April for two adults. The travel agent adds a percentage surcharge to the cost of the holiday for booking fees. Salima’s final bill is £642.60 What was the percentage surcharge? A coffee machine dispenses 130 millilitres of black coffee Into cups with a capacity of 175 millilitres. These values are accurate to 3 significant figures. Milk is supplied in small cartons which contain 21 millilitres, accurate to the nearest millilitre. Beryl likes milky coffee and always puts 2 cartons of milk in her coffee. Will Beryl’s cup ever overflow? Help Step 3 Work out the upper and lower bound of a carton of milk. What is the accuracy? Bounds

5. Salima books a 7-night holiday in April for two adults. The travel agent adds a percentage surcharge to the cost of the holiday for booking fees. Salima’s final bill is £642.60 What was the percentage surcharge? A coffee machine dispenses 130 millilitres of black coffee Into cups with a capacity of 175 millilitres. These values are accurate to 3 significant figures. Milk is supplied in small cartons which contain 21 millilitres, accurate to the nearest millilitre. Beryl likes milky coffee and always puts 2 cartons of milk in her coffee. Will Beryl’s cup ever overflow? Help Step 4 Work out how much milk she adds. To have a chance of over flowing we want the largest amount of milk. Bounds

6. Salima books a 7-night holiday in April for two adults. The travel agent adds a percentage surcharge to the cost of the holiday for booking fees. Salima’s final bill is £642.60 What was the percentage surcharge? A coffee machine dispenses 130 millilitres of black coffee Into cups with a capacity of 175 millilitres. These values are accurate to 3 significant figures. Milk is supplied in small cartons which contain 21 millilitres, accurate to the nearest millilitre. Beryl likes milky coffee and always puts 2 cartons of milk in her coffee. Will Beryl’s cup ever overflow? Help Step 5 Choose the correct values. We want the smallest cup with the most black coffee and the most milk. Bounds End of Problem Return to Menu

7. Salima books a 7-night holiday in Aprilfor two adults. The travel agent adds a percentage surcharge to the cost of the holiday for booking fees. Salima’s final bill is £642.60 What was the percentage surcharge? A coffee machine dispenses 130 millilitres of black coffee Into cups with a capacity of 175 millilitres. These values are accurate to 3 significant figures. Milk is supplied in small cartons which contain 21 millilitres, accurate to the nearest millilitre. Beryl likes milky coffee and always puts 2 cartons of milk in her coffee. Will Beryl’s cup ever overflow? Help Step 1 Work out the upper and lower bound of the cup. What is the accuracy? Bounds

8. Salima books a 7-night holiday in April for two adults. The travel agent adds a percentage surcharge to the cost of the holiday for booking fees. Salima’s final bill is £642.60 What was the percentage surcharge? A coffee machine dispenses 130 millilitres of black coffee Into cups with a capacity of 175 millilitres. These values are accurate to 3 significant figures. Milk is supplied in small cartons which contain 21 millilitres, accurate to the nearest millilitre. Beryl likes milky coffee and always puts 2 cartons of milk in her coffee. Will Beryl’s cup ever overflow? Help Step 2 Work out the upper and lower bound of the amount of black coffee. What is the accuracy? Bounds

9. Salima books a 7-night holiday in April for two adults. The travel agent adds a percentage surcharge to the cost of the holiday for booking fees. Salima’s final bill is £642.60 What was the percentage surcharge? A coffee machine dispenses 130 millilitres of black coffee Into cups with a capacity of 175 millilitres. These values are accurate to 3 significant figures. Milk is supplied in small cartons which contain 21 millilitres, accurate to the nearest millilitre. Beryl likes milky coffee and always puts 2 cartons of milk in her coffee. Will Beryl’s cup ever overflow? Help Step 3 Work out the upper and lower bound of a carton of milk. What is the accuracy? Bounds

10. Salima books a 7-night holiday in April for two adults. The travel agent adds a percentage surcharge to the cost of the holiday for booking fees. Salima’s final bill is £642.60 What was the percentage surcharge? A coffee machine dispenses 130 millilitres of black coffee Into cups with a capacity of 175 millilitres. These values are accurate to 3 significant figures. Milk is supplied in small cartons which contain 21 millilitres, accurate to the nearest millilitre. Beryl likes milky coffee and always puts 2 cartons of milk in her coffee. Will Beryl’s cup ever overflow? Help Step 4 Work out how much milk she adds. To have a chance of over flowing we want the largest amount of milk. Bounds

11. Salima books a 7-night holiday in April for two adults. The travel agent adds a percentage surcharge to the cost of the holiday for booking fees. Salima’s final bill is £642.60 What was the percentage surcharge? A coffee machine dispenses 130 millilitres of black coffee Into cups with a capacity of 175 millilitres. These values are accurate to 3 significant figures. Milk is supplied in small cartons which contain 21 millilitres, accurate to the nearest millilitre. Beryl likes milky coffee and always puts 2 cartons of milk in her coffee. Will Beryl’s cup ever overflow? Help Step 5 Choose the correct values. We want the smallest cup with the most black coffee and the most milk. Bounds End of Problem Return to Menu

12. Salima books a 7-night holiday in Aprilfor two adults. The travel agent adds a percentage surcharge to the cost of the holiday for booking fees. Salima’s final bill is £642.60 What was the percentage surcharge? A coffee machine dispenses 130 millilitres of black coffee Into cups with a capacity of 175 millilitres. These values are accurate to 3 significant figures. Milk is supplied in small cartons which contain 21 millilitres, accurate to the nearest millilitre. Beryl likes milky coffee and always puts 2 cartons of milk in her coffee. Will Beryl’s cup ever overflow? Bounds

13. Salima books a 7-night holiday in April for two adults. The travel agent adds a percentage surcharge to the cost of the holiday for booking fees. Salima’s final bill is £642.60 What was the percentage surcharge? A coffee machine dispenses 130 millilitres of black coffee Into cups with a capacity of 175 millilitres. These values are accurate to 3 significant figures. Milk is supplied in small cartons which contain 21 millilitres, accurate to the nearest millilitre. Beryl likes milky coffee and always puts 2 cartons of milk in her coffee. Will Beryl’s cup ever overflow? Bounds

14. Salima books a 7-night holiday in April for two adults. The travel agent adds a percentage surcharge to the cost of the holiday for booking fees. Salima’s final bill is £642.60 What was the percentage surcharge? A coffee machine dispenses 130 millilitres of black coffee Into cups with a capacity of 175 millilitres. These values are accurate to 3 significant figures. Milk is supplied in small cartons which contain 21 millilitres, accurate to the nearest millilitre. Beryl likes milky coffee and always puts 2 cartons of milk in her coffee. Will Beryl’s cup ever overflow? Bounds

15. Salima books a 7-night holiday in April for two adults. The travel agent adds a percentage surcharge to the cost of the holiday for booking fees. Salima’s final bill is £642.60 What was the percentage surcharge? A coffee machine dispenses 130 millilitres of black coffee Into cups with a capacity of 175 millilitres. These values are accurate to 3 significant figures. Milk is supplied in small cartons which contain 21 millilitres, accurate to the nearest millilitre. Beryl likes milky coffee and always puts 2 cartons of milk in her coffee. Will Beryl’s cup ever overflow? Bounds

16. Salima books a 7-night holiday in April for two adults. The travel agent adds a percentage surcharge to the cost of the holiday for booking fees. Salima’s final bill is £642.60 What was the percentage surcharge? A coffee machine dispenses 130 millilitres of black coffee Into cups with a capacity of 175 millilitres. These values are accurate to 3 significant figures. Milk is supplied in small cartons which contain 21 millilitres, accurate to the nearest millilitre. Beryl likes milky coffee and always puts 2 cartons of milk in her coffee. Will Beryl’s cup ever overflow? Bounds End of Problem Return to Menu

17. Salima books a 7-night holiday in April for two adults. The travel agent adds a percentage surcharge to the cost of the holiday for booking fees. Salima’s final bill is £642.60 What was the percentage surcharge? A coffee machine dispenses 130 millilitres of black coffee Into cups with a capacity of 175 millilitres. These values are accurate to 3 significant figures. Milk is supplied in small cartons which contain 21 millilitres, accurate to the nearest millilitre. Beryl likes milky coffee and always puts 2 cartons of milk in her coffee. Will Beryl’s cup ever overflow? Hint Work out the upper and lower bound of each value. Bounds

18. Salima books a 7-night holiday in April for two adults. The travel agent adds a percentage surcharge to the cost of the holiday for booking fees. Salima’s final bill is £642.60 What was the percentage surcharge? A coffee machine dispenses 130 millilitres of black coffee Into cups with a capacity of 175 millilitres. These values are accurate to 3 significant figures. Milk is supplied in small cartons which contain 21 millilitres, accurate to the nearest millilitre. Beryl likes milky coffee and always puts 2 cartons of milk in her coffee. Will Beryl’s cup ever overflow? Hint Choose correct values to answer the question. Bounds End of Problem Return to Menu

19. Salima books a 7-night holiday in April for two adults. The travel agent adds a percentage surcharge to the cost of the holiday for booking fees. Salima’s final bill is £642.60 What was the percentage surcharge? A coffee machine dispenses 130 millilitres of black coffee Into cups with a capacity of 175 millilitres. These values are accurate to 3 significant figures. Milk is supplied in small cartons which contain 21 millilitres, accurate to the nearest millilitre. Beryl likes milky coffee and always puts 2 cartons of milk in her coffee. Will Beryl’s cup ever overflow? Hint Choose correct values to answer the question. Bounds End of Problem Return to Menu

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