February/March 2026 Paper 12

2026 · 11 questions · 21 parts · 75 marks

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Q1–/5 mks
Q2–/7 mks
Q3–/6 mks
Q4–/6 mks
Q5–/7 mks
Q6–/8 mks
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Q8–/6 mks
Q9–/4 mks
Q10–/8 mks
Context for question 2
Triangle ABC with AB = 12 cm along the base, AC = 9 cm, and angle CAB = 0.8 radians at A. An arc of radius 9 cm centred at A runs from C down to a point on AB. The region shaded grey is bounded by this arc, the line segment BC, and the part of AB between the arc's foot and B.
The diagram shows a triangle with , and angle radians. An arc with centre and radius is drawn inside the triangle as shown. The shaded region is bounded by this arc, the line segment and part of the line segment .
2(a)Radians Circular MeasureHard4 marks
Find the perimeter of the shaded region. Give your answer correct to 3 significant figures.
Length of the arc
Use the cosine rule to find
0 words
Perimeter of the shaded region
2(b)Radians Circular MeasureMedium3 marks
Find the area of the shaded region. Give your answer correct to 3 significant figures.
Show your method for the area of the triangle and the area of the sector
0 words
Area of the shaded region