FDPR Mixed Context: WJEC GCSE Numeracy Foundation June 2017 Unit 2 Q3

Numeracy Foundation June 2017 Unit 2 Q3

WJECFoundationCurrent spec13 marksFDPR Mixed Context Plans, Elevations & Nets Substitution

3. Delyth runs her own business making and selling candles.
She makes and sells four types of candle.

Type	Name of the 3-D solid	Volume of candle (cm³)
A	……………	240
B	……………	283
C	CONE	270
D	CUBE	120

(a) Fill in the names of the 3-D solids in the table above. [2]

(b)

Delyth uses a formula to work out the mass of wax that is needed to make one candle.

Mass of wax in grams = \(\dfrac{3 \times \text{volume of candle}}{5}\)

(i)

What mass of wax will be needed to make a candle of type C? [2]

Mass of the wax of a candle of type C is …………… grams

(ii) Delyth has enough wax to make 50 candles of type A.
How many type D candles can she make with the same amount of wax? [2]

(c)

Delyth also makes small candles.
One of these candles fits in a box with a lid.
The box is a cube with sides of length 3 cm.
Use the centimetre squared paper to draw a net of the box, including the lid. [2]

Centimetre squared paper, 14 squares wide and 20 squares high

(d)

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

It costs Delyth £2.35 to make each small candle.
It costs 15p to make each box.

Delyth sells 20 candles, each in a separate box, for a total of £84.
How much profit does Delyth make?
You must show all your working. [3 + 2 OCW]

Scheme	Marks	Comments
A Cuboid B Cylinder	B1 B1

Mark scheme (b)

Scheme	Marks	Comments
(b)(i) \(\dfrac{\mathbf{3 \times 270}}{\mathbf{5}}\) 162(g)	M1 A1	If no marks awarded SC1 for (3×270)= 810 or \(\left(\frac{270}{5}\right)\) = 54
(b)(ii) 100	B2	Award B1 for 2×120 or 240÷2 or use of 50 and a relationship between 120 and 240 e.g. 50÷2=25. Do not award B1 for 25 unsupported.

Scheme	Marks	Comments
A correct net of a cube with 6 faces. Lengths of sides of squares 3cm	B1 B1	SC1 for the net of an open box. 5 faces of correct size. Ignore the inclusion of ‘tabs’.

Mark scheme (d)

Scheme	Marks	Comments
(Total cost of 20 candles and boxes) (2.35 + (0.)15) × 20= (£)50	M1 A1	Or equivalent CAO May be implied in further work.
(Profit is £84 − £50=) (£) 34.	B1	Or equivalent FT ‘their (£)50’ provided 20 is used with candles or boxes and ‘their (£)50 < (£)84.
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 Consistent use of £ and p. Correct use of = sign.	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.