Foundation June 2019 Paper 2 Q5
5.
(a) 
Verity is arranging these 6 identical tiles into different shapes.
Diagram not drawn to scale
Each tile is a square with sides of length 2·6 cm.
Verity makes these two shapes by placing tiles side by side:
Shape 1
Shape 2
Diagram not drawn to scale
Calculate the perimeter of each shape. [3]
Perimeter of shape 1 ……………
Perimeter of shape 2 ……………
(b)
Maddie has 9 of the same square tiles.
Maddie arranges her 9 tiles to make a shape that has the smallest possible perimeter.
(i) Sketch Maddie’s shape. [1]
(ii)
Calculate the area of Maddie’s shape. [2]
Area = …………… cm2
| Scheme | Marks | Comments |
|---|---|---|
| 10x2.6 OR 14x2.6 or equivalent | M1 | |
| (perimeter of shape 1 =) 26(cm) | A1 | |
| (perimeter of shape 2 =) 36.4(cm) | A1 | If no marks, award SC1 for perimeter answers of 10(cm) AND 14(cm). |
| Scheme | Marks | Comments |
|---|---|---|
| (i) Sketches a 3x3 square | B1 | Accept any reasonable attempt at a 3x3 square. |
| (ii) \(9 \times 2.6^2\) or \((3 \times 2.6)^2\) | M1 | |
| 60.84(cm2) | A1 | |
| (6) |