Mathematics · May / June 2026 · Paper 42 · Question 8
0580
As printed in the paper
The question as text
The table shows some values, correct to 1 decimal place, for y x x 2 2 3 2 ¦ Ä Ä . x –1 –0.5 0 0.5 1 1.5 2 2.5 3 y –2.6 –2 –2.4 –3.1 –2
Read automatically from the paper; the printed page above is exact.
Show the answer and mark scheme
8(a)[3]
–5, –3, 1.1 [3]
B1 for each correct value Accept 1.12[5] or 1.13 or 9 8 oe
8(b)[4]
Correct smooth curve [4]
B3FT for 8 correct points Accuracy ± ½ small square radially. or B2FT for 6 correct points isw other curves/plots as could be for part (c). or B1FT for 4 correct points Condone slight feathering in no more than 2 sections. No excessively thick curve or incorrect curvature. Curve must not go to the right of x = 3 before (3, 7) and not more than 1 cm vertical at end points. If not 4 marks, mark plots using same tolerance as the curve. If plot is large, mark centre of plot. Curve can imply any missing plots.
8(c)[4]
y = x – 3 ruled –0.9 to –0.7, 0.5 to 0.6, 2.2 to 2.35 [16]
M2 For M2, line must cross their curve in all places Accuracy check at (0, –3) and (2, –1) ± ½ small square radially.
M1 for the correct equation soi e.g. [y =] x – 3 Accept for M1 x3 – 2x2 – 2 = x – 3. or y = x + k or y = kx – 3 drawn Do not accept for M1 y = – 3.
A2 A1 for any two values A2 and A1 dep on M2 If M0 or M1 scored,
SC1 for 3 correct values
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