Compound Measures: Eduqas GCSE Higher June 2017 Paper 1 Q9

Higher June 2017 Paper 1 Q9

EduqasHigherCurrent spec9 marksCompound Measures

(a) The diagram shows a large shipping container at rest on horizontal ground.

Cuboid shipping container 10 m long, 4 m wide and 3 m high

Diagram not drawn to scale

The weight of the container is 32 000 N.

Work out the pressure exerted on the ground by the shipping container.
Give your answer in N/m². [2]

(b) A table is at rest on horizontal ground.
The table has 4 legs.
Each leg has a height of 50 cm.
The volume of material in one leg is 450 cm³.
The table weighs 54 N.

By considering the base of the table legs, work out the pressure exerted on the ground by the table.
Give your answer in N/cm².
You must show all your working. [5]

(c)

(i) State one assumption you have made in your answer to part (b). [1]

(ii) How would your answer to part (b) change if you had not made this assumption? [1]

Scheme	Marks	Comments
(pressure = ) \(32000 \div (4 \times 10)\)	M1	For a dimensionally correct calculation
800 (N/m²)	A1

Mark scheme (b)

Scheme	Marks	Comments
(area of one foot =) \(450 \div 50\)	M1
9 (cm²) seen or implied	A1	Implies M1
(area of 4 feet =) \(4 \times 9\) (= 36 cm²) or or for \(54 \div 4\) (= 13.5 N)	B1	Multiplies, may be seen later ‘their 36’
(pressure in N/cm² = ) \(54 \div 36\) or \(13.5 \div 9\) or equivalent	M1	Allow \(54 \div 9\) FT ‘their \(4 \times 9\)’ or ‘their \(1800 \div 50\)’
1.5 (N/cm²) or equivalent	A1	CAO

Alternative method for first three marks

Scheme	Marks	Comments
(volume of 4 legs =) \(450 \times 4\)	M1
1800 (cm³) seen or implied	A1
\(1800 \div 50\) (= 36 cm²)	B1

Mark scheme (c)

Scheme	Marks	Comments
(c)(i) Any valid assumption e.g. ‘The leg of the table is a prism’ or ‘The leg is not tapered’ or ‘The legs are all supporting an equal weight’ or ‘The leg has a uniform cross-section.’ or ‘The leg is a cuboid.’	E1	Allow eg ‘I assumed that there was nothing on top of the table’ or ‘All table legs have the same volume’ Allow an assumption they clearly made in (b) eg ‘The base of the table leg is a square.’
(c)(ii) Any valid effect based on their stated assumption e.g. ‘If the area (of the foot of the table) were smaller the pressure of the table would be greater’ or ‘The pressure would be different’	E1	Allow eg ‘If there were something on top of the table the pressure would be greater’.
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