(a) The mass of flour used in a recipe doubles as the number of biscuits made doubles.
On the axes below, sketch a graph to show this relationship.
[2]
(b) Here are some of the ingredients for a recipe to make 10 biscuits.
To make 10 biscuits: 120 g butter 100 g sugar
Jane followed the recipe and used 432 g of butter. All of the sugar used came from a new 2 kg bag.
(i) Find the number of biscuits she made. [3]
(ii) Find the mass of the sugar, in grams, that Jane has left in the bag. [3]
Mark scheme (a)
Answer
Marks
Part marks and guidance
Straight line from (0, 0) with positive gradient
2
B1 for straight line with positive gradient
or a series of crosses in a straight line that would pass through (0, 0)
Intercept within 1 mm of (0, 0) (“centre of line” inside circle of overlay) For 1 or 2 marks, intended straight Ignore scale on axes At least three crosses
Mark scheme (b)
Answer
Marks
Part marks and guidance
(i) 36
3
M2 for \(432 \div 120 \times 10\) oe or M1 for \(432 \div 120\) soi 3.6 or \(120 \div 10\) soi 12
e.g. \(432 \div 12\)
120+120+120+60 = 420 oe
(ii) 1640
3
B1 for [2 kg =] 2000 seen
M1 for \(100 \times \dfrac{\textit{their } 36}{10}\) or \(10 \times\) their 36
B1 may be awarded for the conversion even if not used in method May be \(10 \times\) their 36 correctly evaluated or 360 seen
