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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-0013 marksL1 FoundationCalculatorSine & cosine rules
In triangle ABCABC, angle A=40∘A=40^\circ, angle B=65∘B=65^\circ and a=8a=8 cm. Find bb, to 3 significant figures.

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Salam Academy Original Practice · Proposed mark scheme
SA-IAL-P1-TR-0042 marksL1 FoundationCalculatorTriangle area
Find the area of a triangle with sides 66 cm and 99 cm and an angle of 30∘30^\circ between them.

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Salam Academy Original Practice · Proposed mark scheme
SA-IAL-P1-TR1-0012 marksL1 FoundationNon-calculatorSine & cosine rules
In triangle ABCABC, b=3b=3 cm, c=5c=5 cm and angle A=60∘A=60^\circ. Find the exact length of aa.

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Salam Academy Original Practice · Proposed mark scheme
SA-IAL-P1-TR1-0032 marksL1 FoundationNon-calculatorTriangle area
Find the area of a triangle with sides 55 cm and 88 cm and an included angle of 150∘150^\circ. (sin⁡150∘=12\sin150^\circ=\tfrac12.)

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Salam Academy Original Practice · Proposed mark scheme
SA-IAL-P1-TR-G013 marksL1 FoundationCalculatorSine & cosine rules
In triangle ABCABC, a=7a=7 cm, b=5b=5 cm and angle C=60∘C=60^\circ. Find the length cc, to 3 significant figures.

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Salam Academy Original Practice · Proposed mark scheme
SA-IAL-P1-TR-Q011 markL1 FoundationCalculatorSine & cosine rules
You know all three sides of a triangle. To find an angle, use
Choose one option

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Salam Academy Original Practice · Proposed mark scheme
SA-IAL-P1-TR-0023 marksL2 StandardCalculatorSine & cosine rules
A triangle has sides 55 cm, 66 cm and 88 cm. Find the largest angle, in degrees to 1 decimal place.

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Salam Academy Original Practice · Proposed mark scheme
SA-IAL-P1-TR-0053 marksL2 StandardCalculatorTriangle area
A triangle has sides 88 cm and 1010 cm, and area 2020 cm². The angle between these sides is acute. Find it, in degrees.

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Salam Academy Original Practice · Proposed mark scheme
SA-IAL-P1-TR1-0023 marksL2 StandardCalculatorSine & cosine rules
In triangle ABCABC, a=6a=6 cm, b=8b=8 cm and angle A=30∘A=30^\circ. Angle BB is acute. Find BB, in degrees to 1 decimal place.

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Salam Academy Original Practice · Proposed mark scheme
SA-IAL-P1-TR1-0042 marksL2 StandardNon-calculatorTriangle area
Find the exact area of an equilateral triangle with sides of 44 cm.

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Salam Academy Original Practice · Proposed mark scheme
SA-IAL-P1-TR-0034 marksL3 ExamCalculatorSine & cosine rules
In triangle ABCABC, AB=10AB=10 cm, BC=7BC=7 cm and angle A=35∘A=35^\circ. Find the two possible sizes of angle CC, in degrees to 1 decimal place.

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Salam Academy Original Practice · Proposed mark scheme
SA-IAL-P1-TR-0137 marksL5 ExtensionCalculatorSine & cosine rules
A triangle has sides xx cm, (x+1)(x+1) cm and (x+2)(x+2) cm, and its largest angle is 120∘120^\circ. (i) Find xx. (ii) Find the area of the triangle, to 3 significant figures.

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Salam Academy Original Practice · Proposed mark scheme