Mathematics · May / June 2023 · Paper 41 · Question 6
0580
As printed in the paper
Show the answer and mark scheme
6(a)[4]
(5, 2) (2, − 2) [4]
B3 for 3 correct values or answers for C and D reversed or correct coordinates given on diagram wrongly labelled
or B2 for one correct coordinate pair correctly labelled
or M2 for A,B,C and D correctly plotted
or M1 for A and B correctly plotted If 0 or 1 scored instead award
SC2 for answers (–3, 8) and (–6, 4) or answers (1.5,1.5) and (–2.5, 4.5)
6(b)(i)[2]
(2.5, 3.5) oe [2]
B1 for each
6(b)(ii)[3]
7.07 or 7.071... [3]
M2 for ( −− ) 2 + ( − ) 2 6 1 4 3 oe
or M1 for ( ) or ( ) 6 −− 1 4 − 3 oe
6(b)(iii)[2]
1 7 [1]
− 2
M1 for 4 3 −−oe 6 1
6(b)(iv)[3]
1 2 = − = − y x or 7 y x 2 oe 7 7 final answer [3]
M1 for gradient = their (iii) M1dep for substituting (2, 0) in a linear equation with their m allow if (2,0) satisfies y=(their(b)(iii) gradient)x+c
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