1MA0 Foundation June 2012 Paper 1 Q22

EdexcelFoundationOld spec6 marks2D Area & Perimeter

22 The diagram shows a patio in the shape of a rectangle.

Diagram NOT accurately drawn

The patio is 3.6 m long and 3 m wide.

Matthew is going to cover the patio with paving slabs.
Each paving slab is a square of side 60 cm.

Matthew buys 32 of the paving slabs.

(a) Does Matthew buy enough paving slabs to cover the patio?
You must show all your working. (3)

The paving slabs cost £8.63 each.

(b) Work out the total cost of the 32 paving slabs. (3)

Mark scheme (a)

Working	Answer	Mark	Notes
\(360 \div 60 = 6\) \(300 \div 60 = 5\) \(6 \times 5 =\)	Yes and 30	3	M1 for dividing side of patio by side of paving slab eg \(360 \div 60\) or \(300 \div 60\) or \(3.6 \div 0.6\) or \(3 \div 0.6\) or 6 and 5 seen or 6 divisions seen on length of diagram or 5 divisions seen on width of diagram M1 for correct method to find number of paving slabs eg \((360 \div 60) \times (300 \div 60)\) oe or \(6 \times 5\) or 30 squares seen on diagram (units may not be consistent) A1 for Yes and 30 ( or 2 extra) with correct calculations OR M1 for correct method to find area of patio or paving slab eg \(360 \times 300\) or 108000 seen or \(60 \times 60\) or 3600 seen or \(3.6 \times 3\) or 10.8 seen or \(0.6 \times 0.6\) or 0.36 seen M1 for dividing area of patio by area of a paving slab eg. \((3.6 \times 3) \div (0.6 \times 0.6)\) oe (units may not be consistent) A1 for Yes and 30 ( or 2 extra) with correct calculations OR M1 for method to find area of patio and area of 32 slabs eg. \(60 \times 60 \times 32\) or \(360 \times 300\) M1 for method to find both areas eg. \(60 \times 60 \times 32\) and \(360 \times 300\) (units may not be consistent) A1 for Yes and 115200 and 108000 OR Yes and 11.52 and 10.8 NB : Throughout the question, candidates could be working in metres or centimetres