Mathematics · Oct / Nov 2021 · Paper 41 · Question 6
0580
As printed in the paper
The question as text
The table shows some values for y x x 2 3 2 = - , x 0 ! , given correct to 1 decimal place. x -3 -2 -1 -0.5 -0.2 0.2 0.5 1 2 3 y 2.5 3.3 7.5 -7.5 -2.8 -0.5 3.3
Read automatically from the paper; the printed page above is exact.
Show the answer and mark scheme
6(a)(i)[3]
9.5, 4.8 and 8.5 [3]
B1 for each
6(a)(ii)[5]
correct curve [5]
B4 for correct curve, but branches joined or touching y axis or B3FT for 9 or 10 correct plots or B2FT for 7 or 8 correct plots or B1FT for 5 or 6 correct plots AND B1 indep two separate branches not touching or cutting y-axis
6(b)[4]
24 y = − 2 x ruled 5 and – 0.4 to – 0.2 and 1.45 to 1.7 [4]
B2 for correct ruled line crossing curve twice
or B1 for correct freehand or for short ruled line or for line with negative gradient through (0, 4.8) or for line with gradient – 2
B1 for each value
6(c)[4]
[a =] 10 [b =] 20 [c =] – 48 [4]
B3 for 10x3 – 15 = 48x – 20x2 oe or better
or B2 for 2 correct values
or B1 for 1 correct value 15 2 or for 5 x − = 24 10 − x or better 2 x 48 or for 2 x 3 − 3 = x − 4 x 2 or better 5 3 24 or for x 3 − = x − 2 x 2 2 5 After 0 scored
SC1 for correct elimination of a denominator of 5, x or 2x from a four term expression.
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