Upper & Lower Bounds: Eduqas GCSE Higher November 2023 Paper 2 Q11

Higher November 2023 Paper 2 Q11

EduqasHigherCurrent spec4 marksUpper & Lower Bounds

11. Some boxes of medicine must be stored on shelves in a refrigerator.

The vertical height between the shelves is 38 cm, correct to the nearest cm.

7 identical boxes of medicine are stacked on top of each other on one shelf.

Each box of medicine has a height of 45 mm, correct to the nearest mm.

What is the largest possible gap between the top of this stack of boxes and the shelf above? [4]

Mark scheme

Scheme	Marks	Comments
Sight of 38.5 (cm) AND 44.5 (mm)	B1	May be in a list of all the bounds and may be seen as 385 mm and 4.45 cm Note: 44.5 mm \(\times\) 7 = 311.5 mm or 31.15 cm
\(38.5 - 7 \times 4.45\) or \(385 - 7 \times 44.5\)	M2	If B0, FT provided unambiguously chosen: Allow M2 for either of the following: use of \(38 \lt\) ’their 38.5’ \(\leqslant 39\) AND \(4.4 \leqslant\) ‘their 4.45’ \(\lt 4.5\) use of \(380 \lt\) ’their 385’ \(\leqslant 390\) AND \(44 \leqslant\) ‘their 44.5’ \(\lt 45\) Allow M1 for calculations with the bounds for M2 but with mixed units e.g. \(38.5 - 7 \times 44\)
= 7.35 (cm) or 73.5 (mm)	A1	CAO. If units are given, they must be correct.
	(4)