February/March 2026 Paper 12

2026 · 11 questions · 21 parts · 75 marks

0/75 marks
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Finish set
Q1
1
–/5 mks
Q2
2(a)2(b)
–/7 mks
Q3
3(a)3(b)
–/6 mks
Q4
4(a)4(b)
–/6 mks
Q5
5(a)5(b)
–/7 mks
Q6
6(a)6(b)
–/8 mks
Q7
7(a)7(b)
–/7 mks
Q8
8(a)8(b)
–/6 mks
Q9
9
–/4 mks
Q10
10(a)10(b)
–/8 mks
Q11
11(a)11(b)11(c)
–/11 mks
Context for question 11
A cubic curve and a straight line on x-y axes through origin O. The line passes through the curve's two stationary points: a local minimum just below and right of O, and a local maximum further right and higher up. The curve dips below the line between the minimum and a third crossing point, then rises above the line for a short stretch before the maximum; the small region shaded grey is bounded by the curve and the line on this final stretch, ending at the local maximum where the line and curve meet again.
The diagram shows the curve with equation
and a straight line. The straight line passes through the two stationary points of the curve.
11(a)Stationary Points OptimisationHard5 marks
Show that the equation of the straight line is
Coordinates of the two stationary points
Show your full working, including how you find the equation of the line
0 words
11(b)Polynomial Functions GraphsEasy1 mark
Verify that the curve also meets the straight line when .
Show your verification
0 words
11(c)Areas Volumes Arc LengthHard5 marks
The shaded region is bounded by the curve and the straight line. Find the area of the shaded region.
Show your method
0 words
Antiderivative of (curve line)
Area of the shaded region