This number machine can be used to find coordinates \((x, y)\).
\(x\)
→
Multiply by 4
→
Add 1
→
\(y\)
(i)
Use the number machine to complete these coordinates. [3]
(2, ………) (0·5, ………) (−1, ………) (………, 5)
(ii)
These coordinates can be used to draw a straight line.
Plot the coordinates found by the number machine and draw the line. [3]
Mark scheme (a)
Scheme
Marks
Comments
(i) 4.3
B1
(ii) 11
B1
Mark scheme (b)
Scheme
Marks
Comments
(i) (2, 9) (0.5, 3) (–1, –3) (1, 5)
B3
B2 for any three points correct or B1 for any two points correct
(ii) 4 correctly plotted points
B2
STRICT FT for plotting ‘their coordinates’ from (b)(i)’ for B2 or for B1
B1 FT for any 2 or 3 correctly plotted points
Mark intent, especially with decimal coordinates If more than 4 points are plotted, mark the worst 4 points
Correct line drawn at least through the 4 correct points (–1, –3) (0.5, 3) (1, 5) (2, 9)
B1
CAO
NB If no points plotted but correct line drawn, allow B0 B1 B1 B1 is possible for the correct line drawn accurately through 2 or 3 correct plots only Maximum of 2 marks out of 3 if the coordinates and line are not both fully correct
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