1) Joe has a height of 160 cm to the nearest 10 cm. Alex has a height of 175 cm to the nearest 5 cm.

a) What is the upper and lower bound for Joe’s height?

b) What is the upper and lower bound for Alex’s height?

c) What is the maximum difference between the height of Joe and Alex?

d) What is the minimum difference between the height of Joe and Alex?

2) A cake tin has a length of 25 cm to the nearest 5 cm and a width of 40 cm to the nearest 10 cm.

a) What is the upper and lower bound for the side that is 25 cm?

b) What is the upper and lower bound for the side that is 40 cm?

c) What is the maximum area of the cake tin?

d) What is the minimum area of the cake tin?

3) I am making soup for a scout group that has 25 people in it. I am buying soup in tins and each tin has 300 ml of soup to the nearest 50 ml. Each member of the scout group will have 100 ml of soup.

a) What is the minimum and maximum amount of soup in each of the tins?

b) How many tins of soup will I need to ensure that all 25 individuals in the group have 100 ml of soup?

4) I am a manager of a football team and at half time I give my players orange squash to keep them hydrated. There are 18 players in my team and each player drinks 130 ml to the nearest 10 ml. I bring 2.3 litres (to the nearest 100 ml) of orange squash to the game. Will I definitely have enough squash for everyone? Make sure that you show your working clearly.

5) I work in a restaurant and am making a very big spaghetti Bolognese. In order to make my large spaghetti Bolognese, I am going to use 10 packs beef mince. Each packs of mince is 300 g to the nearest 25 g.

a) What is the maximum amount of beef in the 10 packs?

b) What is the minimum amount of beef in the 10 packs?

6) A concert hall has 470 chairs to the nearest 10 chairs. 475 people are coming to the concert to the nearest 5 people. Is it possible that there are enough chairs?

7) A square has sides of 35 cm to the nearest 5 cm.

a) What are the upper and lower bounds of the sides?

b) What is the minimum and maximum perimeter?

c) What is the minimum and maximum area?

a) What is the upper and lower bound for Joe’s height?

b) What is the upper and lower bound for Alex’s height?

c) What is the maximum difference between the height of Joe and Alex?

d) What is the minimum difference between the height of Joe and Alex?

2) A cake tin has a length of 25 cm to the nearest 5 cm and a width of 40 cm to the nearest 10 cm.

a) What is the upper and lower bound for the side that is 25 cm?

b) What is the upper and lower bound for the side that is 40 cm?

c) What is the maximum area of the cake tin?

d) What is the minimum area of the cake tin?

3) I am making soup for a scout group that has 25 people in it. I am buying soup in tins and each tin has 300 ml of soup to the nearest 50 ml. Each member of the scout group will have 100 ml of soup.

a) What is the minimum and maximum amount of soup in each of the tins?

b) How many tins of soup will I need to ensure that all 25 individuals in the group have 100 ml of soup?

4) I am a manager of a football team and at half time I give my players orange squash to keep them hydrated. There are 18 players in my team and each player drinks 130 ml to the nearest 10 ml. I bring 2.3 litres (to the nearest 100 ml) of orange squash to the game. Will I definitely have enough squash for everyone? Make sure that you show your working clearly.

5) I work in a restaurant and am making a very big spaghetti Bolognese. In order to make my large spaghetti Bolognese, I am going to use 10 packs beef mince. Each packs of mince is 300 g to the nearest 25 g.

a) What is the maximum amount of beef in the 10 packs?

b) What is the minimum amount of beef in the 10 packs?

6) A concert hall has 470 chairs to the nearest 10 chairs. 475 people are coming to the concert to the nearest 5 people. Is it possible that there are enough chairs?

7) A square has sides of 35 cm to the nearest 5 cm.

a) What are the upper and lower bounds of the sides?

b) What is the minimum and maximum perimeter?

c) What is the minimum and maximum area?