AQA A LEVEL MATHEMATICS PAPER 1
ACTUAL EXAM PAPER QUESTIONS
⩥ A purple component is to be produced using a pigmented resin.
Use the data to calculate the maximum number of these components that
could be produced.
You may assume unlimited supplies of clear resin and magenta pigment.
Cyan pigment available: 10ml
Single component volume: 5965mm^3
Ratios for Purple Resin:
80 clear resin
4 cyan pigment
1 magenta pigment
[4 marks]. Answer: Establishing the volume of either the resin or the
pigment:
,= 2.5 ml Magenta or = 200 ml clear resin [1 mark - M1]
Calculating the total volume:
200 ml + 10 ml + 2.5 ml
= 212.5 ml [1 mark - A1]
Calculating the total volume of one component:
5965mm^3
= 5.965cm^3
= 5.965 ml [1 mark - M1]
Calculating the total number of components that could be produced:
(their 212.5) divided by (their 5.965) = 35.6
= 35 components or (their answer rounded down) components
OR
,212.5 ml = 212,500 mm^3
(their 212,500) divided by (their 5965) = (their 35.62)
= (their answer rounded down) components
= 35 components [1 mark - A1]
⩥ Figure X shows a low carbon steel shopping basket with a chrome
plated finish.
Analyse and evaluate the suitability of the material and finish used for
the shopping basket. [6 marks]. Answer: Indicative content
Low Carbon Steel:
• can be easily drawn into the thin round wire needed to construct the
shopping basket
• a malleable material that allows for component parts to be cold formed
into shape without fracture
• can be easily joined by spot welding
• a lightweight material that enables the user to carry the basket
comfortably
• a tough material that will withstand the wear and tear of daily use
, • a soft material that allows the basket to maintain its formed shape and
withstand the weight of heavy shopping.
Chrome Plated finish:
• the electroplating process ensures an even coating of the intricate
structure of the shopping basket
• provides a corrosion resistant finish which protects the steel frame
while maintaining the aesthetics of the basket
• provides a hard and durable finish that will withstand scratching when
the baskets are stacked for storage
• the finish allows the baskets to be cleaned in order to remain hygienic
for the carrying of loose food products
• the plating process can prevent the repair of the baskets if a weld
should fail.
This list is not exhaustive. Accept any other valid responses.
⩥ Explain how rapid prototyping has impacted on traditional
manufacture. [9 marks]. Answer: Indicative content
• Rapid prototyping has allowed companies the ability to develop and
produce fully functioning prototypes without a huge financial
investment in the manufacture of moulds or ancillary components.
ACTUAL EXAM PAPER QUESTIONS
⩥ A purple component is to be produced using a pigmented resin.
Use the data to calculate the maximum number of these components that
could be produced.
You may assume unlimited supplies of clear resin and magenta pigment.
Cyan pigment available: 10ml
Single component volume: 5965mm^3
Ratios for Purple Resin:
80 clear resin
4 cyan pigment
1 magenta pigment
[4 marks]. Answer: Establishing the volume of either the resin or the
pigment:
,= 2.5 ml Magenta or = 200 ml clear resin [1 mark - M1]
Calculating the total volume:
200 ml + 10 ml + 2.5 ml
= 212.5 ml [1 mark - A1]
Calculating the total volume of one component:
5965mm^3
= 5.965cm^3
= 5.965 ml [1 mark - M1]
Calculating the total number of components that could be produced:
(their 212.5) divided by (their 5.965) = 35.6
= 35 components or (their answer rounded down) components
OR
,212.5 ml = 212,500 mm^3
(their 212,500) divided by (their 5965) = (their 35.62)
= (their answer rounded down) components
= 35 components [1 mark - A1]
⩥ Figure X shows a low carbon steel shopping basket with a chrome
plated finish.
Analyse and evaluate the suitability of the material and finish used for
the shopping basket. [6 marks]. Answer: Indicative content
Low Carbon Steel:
• can be easily drawn into the thin round wire needed to construct the
shopping basket
• a malleable material that allows for component parts to be cold formed
into shape without fracture
• can be easily joined by spot welding
• a lightweight material that enables the user to carry the basket
comfortably
• a tough material that will withstand the wear and tear of daily use
, • a soft material that allows the basket to maintain its formed shape and
withstand the weight of heavy shopping.
Chrome Plated finish:
• the electroplating process ensures an even coating of the intricate
structure of the shopping basket
• provides a corrosion resistant finish which protects the steel frame
while maintaining the aesthetics of the basket
• provides a hard and durable finish that will withstand scratching when
the baskets are stacked for storage
• the finish allows the baskets to be cleaned in order to remain hygienic
for the carrying of loose food products
• the plating process can prevent the repair of the baskets if a weld
should fail.
This list is not exhaustive. Accept any other valid responses.
⩥ Explain how rapid prototyping has impacted on traditional
manufacture. [9 marks]. Answer: Indicative content
• Rapid prototyping has allowed companies the ability to develop and
produce fully functioning prototypes without a huge financial
investment in the manufacture of moulds or ancillary components.
