Mathematics · Oct / Nov 2024 · Paper 41 · Question 8
0580
As printed in the paper
Show the answer and mark scheme
8(a)(i)[2]
6 and –6 [2]
M1 for x2 = 20 + 16 or better
Or B1 for 6 or -6
8(a)(ii)[2]
− 7 x oe final answer 3 [2]
M1 for x = 7 – 3y or y 7 = − x 3 3 or y – 7 = – 3x oe or better
8(a)(iii)[3]
9x2 – 42x + 34 final answer [3]
M1 for (7 – 3x)2 – 16 [+ 1] oe
B1 for 49 – 21x – 21x + 9x2 +k
8(a)(iv)[4]
Correct sketch with roots marked at –4 and 4 and y – intercept and turning point at y = – 16 [4]
B1 for correct parabola shape
B2 for roots at –4 and 4 on graph and no extras
or B1 for (x – 4) (x + 4) [= 0] or for one correct root on graph or for -4 and 4 seen
B1 for turning point at (0, –16)
8(a)(v)[5]
[y =] – 6x – 25 [5]
M1 for derivative = 2x
M1 for x = -3 substituted into their derivative
B1 for (– 3, –7) soi M1 substitution of (– 3, their –7) into y = their –6x + c oe dep on 2nd M1
8(b)(i)[2]
Correct sketch with y – intercept above x – axis [2]
B1 for correct shape
8(b)(ii)[1]
y = 0 [1]
Make a free account to save your answers and see your weak topics and ask the AI why a wrong answer is wrong.