1MA0 Foundation June 2015 Paper 1 Q16
16 Here is an equilateral triangle.
(a) On the triangle, draw all the lines of symmetry. (2)
(b) In the space below, use ruler and compasses to construct an equilateral triangle with sides of length 6 centimetres.
You must show all your construction lines. (2)
You must show all your construction lines. (2)
Here is an equilateral triangle.
Diagram NOT accurately drawn
The perimeter of this equilateral triangle is 24 cm.
The hexagon below is made from 6 of these triangles.
(c) Work out the perimeter of this hexagon. (2)
(d) On the grid below, show how the hexagon tessellates.
You should draw at least 6 hexagons. (2)
You should draw at least 6 hexagons. (2)
| Answer | Mark | Notes |
|---|---|---|
| 2 | M1 for any 1 correct line of symmetry, allow extras A1 for all 3 lines and no extras |
| Answer | Mark | Notes |
|---|---|---|
| Triangle drawn | 2 | M1 for intersecting arcs of radii 6cm or an accurate triangle with no arcs A1 for a fully correct triangle with arcs |
| Answer | Mark | Notes |
|---|---|---|
| 48 | 2 | M1 for \(24 \div 3\) (= 8) A1 cao |
| Answer | Mark | Notes |
|---|---|---|
| Tessellation | 2 | B2 for correct tessellation (at least 5 more shapes) (B1 for at least 4 shapes, including initial shape, correctly tessellating) |