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Practise

Question bank

Original exam-style questions, mapped to your syllabus. Answers are checked for mathematical equivalence and every attempt updates your mastery.

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12 questions

SA-IAL-P1-TR-0062 marksL1 FoundationCalculatorArcs & sectors
A sector has radius 66 cm and angle 1.21.2 radians. Find the arc length.

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Salam Academy Original Practice · Proposed mark scheme
SA-IAL-P1-TR-0072 marksL1 FoundationCalculatorArcs & sectors
A sector has radius 55 cm and angle 0.80.8 radians. Find its area.

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Salam Academy Original Practice · Proposed mark scheme
SA-IAL-P1-TR2-0011 markL1 FoundationNon-calculatorRadians
Convert 150∘150^\circ to radians, giving an exact answer.

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Salam Academy Original Practice · Proposed mark scheme
SA-IAL-P1-TR2-0021 markL1 FoundationCalculatorRadians
Convert 2.52.5 radians to degrees, to 1 decimal place.

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Salam Academy Original Practice · Proposed mark scheme
SA-IAL-P1-TR2-0031 markL1 FoundationNon-calculatorArcs & sectors
A sector has radius 88 cm and angle π4\tfrac\pi4. Find the exact arc length.

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Salam Academy Original Practice · Proposed mark scheme
SA-IAL-P1-TR2-0042 marksL1 FoundationNon-calculatorArcs & sectors
A sector has radius 66 cm and angle π3\tfrac\pi3. Find its exact area.

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Salam Academy Original Practice · Proposed mark scheme
SA-IAL-P1-TR2-0051 markL1 FoundationNon-calculatorArcs & sectors
An arc of length 1515 cm has radius 66 cm. Find the angle it subtends at the centre, in radians.

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Salam Academy Original Practice · Proposed mark scheme
SA-IAL-P1-TR2-0061 markL1 FoundationCalculatorRadians
One radian is the angle at the centre of a circle when
Choose one option

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Salam Academy Original Practice · Proposed mark scheme
SA-IAL-P1-TR2-0072 marksL1 FoundationNon-calculatorArcs & sectors
Find the perimeter of a sector with radius 55 cm and angle 1.21.2 radians.

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Salam Academy Original Practice · Proposed mark scheme
SA-IAL-P1-TR-Q021 markL1 FoundationCalculatorRadians
π4\tfrac{\pi}{4} radians in degrees is
Choose one option

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Salam Academy Original Practice · Proposed mark scheme
SA-IAL-P1-TR-0084 marksL2 StandardCalculatorArcs & sectors
A sector of a circle of radius 44 cm has area 2424 cm². (i) Find the angle of the sector in radians. (ii) Find the perimeter of the sector.

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Salam Academy Original Practice · Proposed mark scheme
SA-IAL-P1-TR-0094 marksL3 ExamCalculatorArcs & sectors
A chord cuts off a segment from a circle of radius 1010 cm. The chord subtends an angle of π3\tfrac\pi3 at the centre. Find the area of the segment, to 3 significant figures.

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Salam Academy Original Practice · Proposed mark scheme