Upper & Lower Bounds: Eduqas GCSE Higher June 2017 Paper 1 Q11

Higher June 2017 Paper 1 Q11

EduqasHigherCurrent spec4 marksUpper & Lower Bounds

11. Gabby buys a chest of drawers and a computer desk to fit side by side between two walls in her bedroom.

Drawers and Desk side by side between two walls, with a Gap between the desk and the right-hand wall

Diagram not drawn to scale

The width of the chest of drawers is 45 cm, correct to the nearest cm.
The width of the computer desk is 60 cm, correct to the nearest cm.
The two walls are 1·2 m apart, correct to the nearest 10 cm.

Calculate the least possible width of the gap remaining when Gabby’s furniture is in place. [4]

Mark scheme

Scheme	Marks	Comments
Sight of 45.5 cm 60.5 cm and 115 cm or 1.15 m	B2	If units are given they must be correct. Award B1 for any 1 correct.
\(115 - 45.5 - 60.5\) seen or implied	M1	FT ‘their 45.5, 60.5 and 115’ providing all are in the same units, ‘their 45.5’ > 45, ‘their 60.5’ > 60 and ‘their 115’ <120 and greater than ‘their 45.5 + 60.5’ May be in steps
9 cm	A1	CAO; not from wrong working
	(4)