1. Choose level of difficulty
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.
Beryl likes milky coffee and always puts 2 cartons of milk in her coffee.
Will Beryl’s cup ever overflow?
Choose level of difficulty

2. Bounds 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 1 Work out the upper and lower bound of the cup.
What is the accuracy?

3. Bounds 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?

4. Bounds 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?

5. Bounds 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.

6. 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.
Beryl likes milky coffee and always puts 2 cartons of milk in her coffee.
Will Beryl’s cup ever overflow?
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?
Help
Step 5 Choose the correct values.
We want the smallest cup with the most black coffee and the most milk.
End of Problem
Return to Menu

7. Bounds 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 1 Work out the upper and lower bound of the cup.
What is the accuracy?

8. Bounds 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?

9. Bounds 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?

10. Bounds 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.

11. 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.
Beryl likes milky coffee and always puts 2 cartons of milk in her coffee.
Will Beryl’s cup ever overflow?
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?
Help
Step 5 Choose the correct values.
We want the smallest cup with the most black coffee and the most milk.
End of Problem
Return to Menu

12. 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.
Beryl likes milky coffee and always puts 2 cartons of milk in her coffee.
Will Beryl’s cup ever overflow?
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?

13. 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.
Beryl likes milky coffee and always puts 2 cartons of milk in her coffee.
Will Beryl’s cup ever overflow?
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?

14. 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.
Beryl likes milky coffee and always puts 2 cartons of milk in her coffee.
Will Beryl’s cup ever overflow?
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?

15. 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.
Beryl likes milky coffee and always puts 2 cartons of milk in her coffee.
Will Beryl’s cup ever overflow?
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?

16. 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.
Beryl likes milky coffee and always puts 2 cartons of milk in her coffee.
Will Beryl’s cup ever overflow?
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?
End of Problem
Return to Menu

17. 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.
Beryl likes milky coffee and always puts 2 cartons of milk in her coffee.
Will Beryl’s cup ever overflow?
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?
Hint
Work out the upper and lower bound of each value.

18. 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.
Beryl likes milky coffee and always puts 2 cartons of milk in her coffee.
Will Beryl’s cup ever overflow?
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?
Hint
Choose correct values to answer the question.
End of Problem
Return to Menu

19. 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.
Beryl likes milky coffee and always puts 2 cartons of milk in her coffee.
Will Beryl’s cup ever overflow?
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?
Hint
Choose correct values to answer the question.
End of Problem
Return to Menu