FDPR Mixed Context: WJEC GCSE Numeracy Foundation June 2022 Unit 1 Q2

Numeracy Foundation June 2022 Unit 1 Q2

WJECFoundationCurrent spec11 marksFDPR Mixed Context Plans, Elevations & Nets Ratio & Basic Proportion

(a) Sandwiches are made for people at a community centre.

One Saturday, the following ingredients were used to make sandwiches for 10 people.

2 loaves of bread
50 grams of butter
3 tins of tuna
14 tomatoes

Next Saturday, there will be 40 people in the community centre.

Complete the list below to show the ingredients needed to make sandwiches for the 40 people. [2]

Sandwiches for 40 people:

…………… loaves of bread
…………… grams of butter
…………… tins of tuna
…………… tomatoes

(b) What is the best description for the shape of this tin of tuna?
Circle your answer. [1]

Photograph of a round, flat tin of tuna with a ring-pull lid

Cuboid Cylinder Cube Sphere Cone

(c)

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

The local drama group is putting on a show in the community centre hall.

The hire charge for the hall is £10 per hour.
The hall will be needed from 17:00 to 22:00.

The total costs of the event are:

hire of the hall
costumes: £250
printing tickets: £60
sound and lighting equipment: £400.

Tickets for the show are sold for £8 each.

What is the smallest number of tickets that must be sold so that the drama group does not make a loss when putting on the show?
You must show all your working. [6 + 2 OCW]

Mark scheme (a)

Scheme	Marks	Comments
8 (loaves of bread) 200 (grams of butter) 12 (tins of tuna) 56 (tomatoes)	B2	Award B1 for 2 or 3 correct Lines for answers take precedence over working space. If no marks, award SC1 for all values evaluated accurately using a consistent multiplier which is >2.

Scheme	Marks	Comments
Cylinder	B1

Mark scheme (c)

Scheme	Marks	Comments
(Hall hire charge = 5 × 10 = ) (£)50	B2	Award B1 for 5 (hours) ‘their hours >1’ × 10 evaluated correctly Multiple of 10 (but not 10) which is then used in their total costs (and is extra to the given £60) B1 or B2 marks may be seen in the total costs.
(Total costs) (£)50 + (£)250 + (£)60 + (£)400 (£)760	M1 A1	FT ‘their (£)50’
(Number of tickets need to sell) (£)760 ÷ (£)8	M1	FT ‘their (£)760’ including (£)710 (without hall costs)
95	A1	On FT their answer must be a whole number rounded up if necessary
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.