Higher November 2020 Paper 1R Q19

EdexcelHigherCurrent spec3 marksUpper & Lower Bounds

19 The diagram shows rectangle \(ABCD\) with rectangle \(EFGH\) cut out to form the shaded region.

Rectangle ABCD, shaded, with a smaller rectangle EFGH cut out of the middle

Diagram NOT accurately drawn

\(AD = 8.3\) cm correct to one decimal place
\(DC = 7.2\) cm correct to one decimal place
\(EH = 6.2\) cm correct to one decimal place
\(HG = 5.3\) cm correct to one decimal place

Work out the upper bound of the area of the shaded region.
Show your working clearly.

(3)

Mark scheme

Scheme	Marks
8.35 or 7.25 or 6.15 or 5.25	B1
(8.35 × 7.25) – (6.15 × 5.25)	M1
Working required Answer: 28.25	A1
	(3)
	(3 marks)

Notes

M1: Allow \(\text{UB}_{AD} \times \text{UB}_{DC} - \text{LB}_{EH} \times \text{LB}_{HG}\) where
\(8.3 \lt \text{UB}_{AD} \leqslant 8.35\), \(7.2 \lt \text{UB}_{DC} \leqslant 7.25\)
\(6.15 \leqslant \text{LB}_{EH} \lt 6.2\), \(5.25 \leqslant \text{LB}_{HG} \lt 5.3\)

A1: oe, dep on M1