Foundation November 2018 Paper 3 Q17
17 The diagram shows a pentagon.
The pentagon has one line of symmetry.
\(AE = 4x\)
\(AB = 2x + 1\)
\(BC = x + 2\)
All these measurements are given in centimetres.
The perimeter of the pentagon is 18 cm.
(a) Show that \(10x + 6 = 18\) (3)
(b) Find the value of \(x\). (2)
| Answer | Mark | Mark scheme |
|---|---|---|
| Full working seen | M1 | for an initial step with the expressions eg doubling \(2x + 1\) or \(x + 2\) or halving \(4x\) or for identifying \(CD\) as \(x + 2\) or for identifying \(DE\) as \(2x + 1\) |
| M1 | for an expression for the total perimeter, eg \(4x + 2 \times (2x + 1) + 2 \times (x + 2)\) | |
| C1 | for full simplification and equating to 18 |
Additional guidance
May be seen in working or on diagram
| Answer | Mark | Mark scheme |
|---|---|---|
| 1.2 | M1 | for isolating terms in \(x\) can ft an equation stated in (a) provided in form \(ax + b = c\) |
| A1 | for 1.2 oe |
Additional guidance
\(10x = 18 - 6\)
Accept \(\dfrac{12}{10}\) or \(\dfrac{6}{5}\)