FDPR Mixed Context: WJEC GCSE Numeracy Foundation November 2022 Unit 1 Q5

Numeracy Foundation November 2022 Unit 1 Q5

WJECFoundationCurrent spec9 marksFDPR Mixed Context Fractions Percentages

5. In this question, you will be assessed on the quality of your organisation, communication and accuracy in writing.

Gerry plays the piano in a band.
He wants to buy a new digital piano.
The total cost of the piano is £800.

Gerry has already saved \(\dfrac{3}{10}\) of the cost of the piano.
The manager of the band gives him 25% of the cost of the piano.

Gerry decides to save £80 per week.

How many weeks will it take Gerry to save enough money to buy the piano?
You must show all your working. [7 + 2 OCW]

Mark scheme

Scheme	Marks	Comments
(Gerry already has) 800 ÷ 10 × 3	M1
(£)240	A1
(Manager gives 25/100 × 800) (£)200	B1
(Need to save) 800 – 240 - 200 or 800 – (240 + 200)	M1	FT ‘their derived 240’ AND ‘their derived 200’.
= (£)360	A1
(Number of weeks) 5	B2	FT ‘their derived 360’ if not a multiple of 80 Award B2 only if there are no errors in the required working. Award B1 for any of the following: 360 ÷ 80 (=4.5) (360 – 4 × 80 =) 40 (360 – 5 × 80 =) -40 (4 × 80 =) 320 (5 × 80 =) 400 4 × 80 AND 5 × 80 or equivalent An answer of 4 weeks from using £360 A correct FT answer where ‘their 360’ is a multiple of 80
Organisation and communication	OC1	For OC1, candidates will be expected to: • present their response in a structured way • explain to the reader what they are doing at each step of their response • lay out their explanations and working in a way that is clear and logical • write a conclusion that draws together their results and explains what their answer means
Writing	W1	For W1, candidates will be expected to: • show all their working • make few, if any, errors in spelling, punctuation and grammar • use correct mathematical form in their working • use appropriate terminology, units, etc.

Alternative method for the last 4 marks

Scheme	Marks	Comments
(Total received 240 + 200 =) (£)440	B1	FT ‘their derived 240’ and ‘their derived 200’
(Number of weeks) 5	B3	FT ‘their derived 440’ if not a multiple of 80 for B3, B2 or B1 Award B3 only if there are no errors in the required working. Award B2 for any of the following: (440 + 4 × 80 =) 760 (multiple below 800) (440 + 5 × 80 =) 840 (multiple above 800) 440 + 4 × 80 AND 440 + 5 × 80 or equivalent for an answer of 4.5 weeks A correct FT answer where ‘their 440’ is a multiple of 80 Award B1 for any of the following: 440 + 4 × 80 or equivalent (the week below 800) 440 + 5 × 80 or equivalent (the week above 800) An answer of 4 weeks from use of £440 An incorrect FT answer (number of weeks) from ‘their 440’ counting up correctly in 80s to 2 80s below or at least 2 80s above

Scheme

Marks

Comments

(Total received 240 + 200 =) (£)440

FT ‘their derived 240’ and ‘their derived 200’

(Number of weeks) 5

FT ‘their derived 440’ if not a multiple of 80 for B3, B2 or B1
Award B3 only if there are no errors in the required working.

Award B2 for any of the following:

(440 + 4 × 80 =) 760 (multiple below 800)
(440 + 5 × 80 =) 840 (multiple above 800)
440 + 4 × 80 AND 440 + 5 × 80 or equivalent
for an answer of 4.5 weeks
A correct FT answer where ‘their 440’ is a multiple of 80

Award B1 for any of the following:

440 + 4 × 80 or equivalent (the week below 800)
440 + 5 × 80 or equivalent (the week above 800)
An answer of 4 weeks from use of £440
An incorrect FT answer (number of weeks) from ‘their 440’ counting up correctly in 80s to 2 80s below or at least 2 80s above

Alternative method for the first 4 or 5 marks if combine the percentages (or equivalent)

Scheme	Marks	Comments
(Total percentage given) 25% + 30% or equivalent	M1
55% or equivalent	A1
(Total received) 55/100 × 800	M1	FT ‘their derived 55%’
(£)440	A1
(Need to save 800 – 440=) (£)360	B1	FT 800 - ‘their derived 440’