Mathematics · Oct / Nov 2023 · Paper 41 · Question 10
0580
As printed in the paper
Show the answer and mark scheme
10(a)(i)[2]
(15, 6) [2]
B1 for each
10(a)(ii)[1]
3 24 [1]
10(a)(iii)[2]
13.6 or 13.60… [2]
M1 for (–11)2 + 82 oe
10(b)(i)[3]
a + 3 5 (b – a) or b + 2 5 (a – b) leading to 2 5 a + 3 5 b with no errors [6]
M3 =] 3 5 (b – a) oe
M2 for [ MR = ] 2 5 (a – b) oe or [ NR = b – a or NM = a – b
or M1 for MN or a correct route for OR
10(b)(ii)[5]
k = 5, c = 10 [4]
B2 for c = 10
or M1 for c( 2 5 a + 3 5 b) = b + 4a + kb oe or for 2 5 c = 4 and
M1 for 3 5 × their c = k + 1 3a + 6b final answer ( ) a + + b 1 FT 3 their k 1
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