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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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13 questions

SA-4024-TR-0092 marksL1 FoundationCalculatorCosine rule & area
Find the area of a triangle with sides 88 cm and 1111 cm and an included angle of 120∘120^\circ, to 3 significant figures.

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Salam Academy Original Practice · Proposed mark scheme
SA-4024-TR3-0023 marksL1 FoundationNon-calculatorCosine rule & area
In triangle ABCABC, b=5b=5 cm, c=8c=8 cm and angle A=60∘A=60^\circ. Find aa. (cos⁡60∘=12\cos60^\circ=\tfrac12.)

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Salam Academy Original Practice · Proposed mark scheme
SA-4024-TR3-0032 marksL1 FoundationNon-calculatorCosine rule & area
Find the area of a triangle with sides 66 cm and 99 cm and an included angle of 30∘30^\circ. (sin⁡30∘=12\sin30^\circ=\tfrac12.)

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Salam Academy Original Practice · Proposed mark scheme
SA-4024-TR3-0041 markL1 FoundationCalculatorCosine rule & area
You know all three sides of a triangle and want an angle. Use
Choose one option

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Salam Academy Original Practice · Proposed mark scheme
SA-4024-TR-Q021 markL1 FoundationCalculatorCosine rule & area
You know two sides of a triangle and the angle between them. To find the third side, use
Choose one option

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Salam Academy Original Practice · Proposed mark scheme
SA-4024-TR-0063 marksL2 StandardCalculatorSine rule
In triangle ABCABC, angle A=40∘A=40^\circ, angle B=65∘B=65^\circ and a=12a=12 cm. Find bb, to 3 significant figures.

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Salam Academy Original Practice · Proposed mark scheme
SA-4024-TR-0073 marksL2 StandardCalculatorCosine rule & area
In triangle ABCABC, b=7b=7 cm, c=9c=9 cm and angle A=50∘A=50^\circ. Find aa, to 3 significant figures.

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Salam Academy Original Practice · Proposed mark scheme
SA-4024-TR-0083 marksL2 StandardCalculatorCosine rule & area
A triangle has sides 55 cm, 77 cm and 99 cm. Find its largest angle, to 1 decimal place.

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Salam Academy Original Practice · Proposed mark scheme
SA-4024-TR-0142 marksL2 StandardCalculatorSine rule
Find the obtuse angle xx for which sin⁡x=0.6\sin x=0.6, to 1 decimal place.

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Salam Academy Original Practice · Proposed mark scheme
SA-4024-TR3-0013 marksL2 StandardCalculatorSine rule
In triangle ABCABC, a=9a=9 cm, angle A=50∘A=50^\circ and b=7b=7 cm. Find angle BB, to 1 decimal place.

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Salam Academy Original Practice · Proposed mark scheme
SA-4024-TR-0153 marksL3 ExamCalculatorCosine rule & area
A triangle has sides 88 cm and 1010 cm, and area 3030 cm2^2. The angle between these sides is acute. Find it, to 1 decimal place.

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Salam Academy Original Practice · Proposed mark scheme
SA-4024-TR-0104 marksL4 ChallengingCalculatorSine rule
In triangle ABCABC, a=8a=8 cm, b=10b=10 cm and angle A=40∘A=40^\circ. Find the two possible values of angle BB, each to 1 decimal place.

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Salam Academy Original Practice · Proposed mark scheme
SA-4024-TR-0165 marksL4 ChallengingCalculatorCosine rule & area
In triangle ABCABC, AB=10AB=10 cm, BC=7BC=7 cm and angle ABC=110∘ABC=110^\circ. Find (a) ACAC (b) the area of the triangle. Give your answers to 3 significant figures.

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Salam Academy Original Practice · Proposed mark scheme