New
New
Lesson 10 of 18
New
New
- Year 9
Interior designer
I can understand how maths is used in interior design.
Lesson details
Key learning points
- Measurements need to be accurate when designing a space
- Quantities of materials need to be determined to minimise waste
- Cost needs to be considered when pricing for a job
Keywords
Area - The area is the size of the surface and states the number of unit squares needed to completely cover that surface.
Common misconception
Rounding incorrectly for the stated context.
Pupils should consider the situation and ask - if rounding down, will there be enough? If rounding up, does this cover all cases? Thinking about the situation and trying different values to see what works can also help.
Pupils could be directed to different home improvement shopping websites so that they can use up-to-date prices for different materials.
Teacher tip
Equipment
Licence
This content is © Oak National Academy Limited (2025), licensed on Open Government Licence version 3.0 except where otherwise stated. See Oak's terms & conditions (Collection 2).
Lesson video
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Prior knowledge starter quiz
6 Questions
Q1.The is the size of the surface and states the number of unit squares needed to completely cover that surface.
The is the size of the surface and states the number of unit squares needed to completely cover that surface.
Correct Answer: area
area
Q2.The dimensions of a rectangular door are 1.98 m by 76 cm. Which of the following are equivalent measurements of the same door?
The dimensions of a rectangular door are 1.98 m by 76 cm. Which of the following are equivalent measurements of the same door?
Correct answer: 198 cm by 76 cm
198 cm by 76 cm
19.8 cm by 76 cm
19.8 cm by 0.76 m
Correct answer: 198 cm by 0.76 m
198 cm by 0.76 m
Q3.The dimensions of a rectangular door are 1.98 m by 76 cm. What is the area of the door in cm$$^2$$? (You do not need to state the units with your answer.)
The dimensions of a rectangular door are 1.98 m by 76 cm. What is the area of the door in cm$$^2$$? (You do not need to state the units with your answer.)
Correct Answer: 15 048, 15048
15 048, 15048
Q4.A rectangular garden with dimensions shown is completely covered with grass. The exception is the circular pond (indicated on the diagram). What is the area of the garden?
A rectangular garden with dimensions shown is completely covered with grass. The exception is the circular pond (indicated on the diagram). What is the area of the garden?
20 m$$^2$$
100 m$$^2$$
Correct answer: 120 m$$^2$$
120 m$$^2$$
140 m$$^2$$
Q5.A rectangular garden with dimensions shown is completely covered with grass. The exception is the circular pond (indicated on the diagram). What is the area of the pond? (To the nearest integer.)
A rectangular garden with dimensions shown is completely covered with grass. The exception is the circular pond (indicated on the diagram). What is the area of the pond? (To the nearest integer.)
Correct answer: 20 m$$^2$$
20 m$$^2$$
100 m$$^2$$
120 m$$^2$$
140 m$$^2$$
Q6.A rectangular garden with dimensions shown is completely covered with grass. The exception is the circular pond (indicated on the diagram). What is the area covered by grass? (To the nearest integer.)
A rectangular garden with dimensions shown is completely covered with grass. The exception is the circular pond (indicated on the diagram). What is the area covered by grass? (To the nearest integer.)
20 m$$^2$$
Correct answer: 100 m$$^2$$
100 m$$^2$$
120 m$$^2$$
140 m$$^2$$
Assessment exit quiz
6 Questions
Q1.The area is the size of the surface and states the number of unit squares needed to completely that surface.
The area is the size of the surface and states the number of unit squares needed to completely that surface.
Correct Answer: cover
cover
Q2.Aisha wants to paint the ceilings in a house. The coverage is 11 m$$^2$$ per litre and tubs are 10 litres. What is the area (in m$$^2$$) that one tub can cover?
Aisha wants to paint the ceilings in a house. The coverage is 11 m$$^2$$ per litre and tubs are 10 litres. What is the area (in m$$^2$$) that one tub can cover?
Correct Answer: 110
110
Q3.Aisha wants to paint the ceilings in a house. One tub of paint covers 110 m$$^2$$. The area of the ceilings is 98 m$$^2$$ and this must be painted twice. How many tubs of paint are needed?
Aisha wants to paint the ceilings in a house. One tub of paint covers 110 m$$^2$$. The area of the ceilings is 98 m$$^2$$ and this must be painted twice. How many tubs of paint are needed?
Correct Answer: 2
2
Q4.Calculate the cost per metre of the 2.4 metre length. Give your answer in pounds to the nearest penny.
Calculate the cost per metre of the 2.4 metre length. Give your answer in pounds to the nearest penny.
Correct Answer: £1.96, 1.96
£1.96, 1.96
Q5.Calculate the cost per metre of the 3.6 metre length. Give your answer in pounds to the nearest penny.
Calculate the cost per metre of the 3.6 metre length. Give your answer in pounds to the nearest penny.
Correct Answer: £1.89, 1.89
£1.89, 1.89
Q6.Which length is the best value for money based on the cost per metre?
Which length is the best value for money based on the cost per metre?
2.4 m
3 m
3.6 m
4.2 m
Correct answer: 4.8 m
4.8 m
