Foundation November 2021 Paper 1 Q16
16 \(ABCD\) is a kite.
\(AB = (4x - 2)\) cm
Jasper says that \(x\) could be 0.5
(a) Explain why Jasper cannot be correct. (1)
\(AD = 3AB\)
The kite has a perimeter of 64 cm.
(b) Find the value of \(x\). (3)
| Answer | Mark | Mark scheme |
|---|---|---|
| Explanation | C1 | for explanation, eg \(AB\) cannot be zero (cm) or shows \(AB\) to be zero, eg \(4 \times 0.5 - 2 = 0\) |
Additional guidance
Accept say ‘\(AB\) would then be 0’
| Answer | Mark | Mark scheme |
|---|---|---|
| 2.5 | P1 | for a correct expression for \(AD\), eg \(3(4x - 2)\) or \(12x - 6\) OR \(2(3AB + AB) = 64\) oe or \(3AB + AB = 32\) oe or \(AB = 8\) OR for an equation with mixed variables, eg \(6AB + 2(4x - 2) = 64\) |
| P1 | for forming a correct equation in \(x\), eg \(4x - 2 + 4x - 2 + 3(4x - 2) + 3(4x - 2) = 64\) or \(4x - 2 = 8\) or \(4x - 2 + 3(4x - 2) = 32\) | |
| A1 | cao |
Additional guidance
May be seen on diagram