A Headteacher wants to put new carpet in one of his classrooms. He uses carpet that costs £12.48 per m\(^2\).
The diagram below shows the dimensions of the classroom.
Diagram not drawn to scale
How much will it cost to buy the exact amount of carpet needed to cover the classroom floor? [3]
(b)
The Headteacher needs to buy vinyl flooring for a different classroom with an area of 67·2 m\(^2\). It is sold in rolls that each cover an area of 10·5 m\(^2\).
What is the minimum number of rolls of vinyl flooring he needs to buy? [3]
Mark scheme (a)
Scheme
Marks
Comments
(Cost = ) 8.5 × 5.5 × 12.48
M2
May be seen in stages M1 for 8.5 × 5.5 (= 46.75 m\(^2\))
= (£) 583.44
A1
Mark scheme (b)
Scheme
Marks
Comments
67.2 ÷ 10.5
M1
7 (rolls)
A2
A1 for 6.4
(6)
Alternative
Alternative method
Scheme
Marks
Comments
At least two improving trials using values between 5 and 9 rolls inclusive
M1
Note: must see answers to their trials or states too small or too big
7 (rolls)
A2
A1 for trials for 6 and 7 rolls with areas 63 and 73.5 (or correct evaluations for trials between 6 and 7 rolls provided one gives an answer < 67.2 and one > 67.2)
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