Higher June 2023 Paper 2 Q3
3 \(ABCD\) is a trapezium.
Diagram NOT accurately drawn
\(BC\) is parallel to \(AD\)
Find the size of the largest angle inside the trapezium.
(4)
| Scheme | Marks |
|---|---|
| (4x – 27) + (3x + 46) = 180 oe or “expression for C” + (3x + 10) = 180 or 7x + 19 = 180 or 3x + 46 + 4x – 27 + 3x + 10 + [“180 – (3x + 10)” ] = 360 | M1 |
| A1 | |
| eg 3 × ”23” + 46 (= 115) or eg 180 – (3 × ”23” + 10) (= 101) | M1ft |
| Correct answer scores full marks (unless from obvious incorrect working) Answer: 115 | A1 |
| (4) | |
| (4 marks) |
Notes
M1: Sum angles \(A\) and \(B\) to 180,
or find an expression for \(BCD\) and sum all angles to 360.
[condone missing brackets and condone use of any letter or expression for angle \(C\) (even \(x\) or \(BCD\))]
A1: \(x = 23\)
M1ft: dep on M1
using their \(x\) to calculate a value for angle \(B\) or ‘their’ \(C\) (cannot be a negative value and cannot just be \(x\))
A1: Allow \(3x + 46\) or \(ABC\) if 115 is clearly seen in working or on diagram