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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-4024-TR-0022 marksL1 FoundationCalculatorFinding sides
In a right-angled triangle, the hypotenuse is 2020 cm and one angle is 35∘35^\circ. Find the side opposite the 35∘35^\circ angle, to 3 significant figures.

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Salam Academy Original Practice · Proposed mark scheme
SA-4024-TR-0032 marksL1 FoundationCalculatorFinding angles
In a right-angled triangle, the sides opposite and adjacent to angle θ\theta are 77 cm and 1010 cm. Find θ\theta, to 1 decimal place.

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Salam Academy Original Practice · Proposed mark scheme
SA-4024-TR2-0012 marksL1 FoundationCalculatorFinding sides
In a right-angled triangle, the hypotenuse is 1010 cm and one angle is 40∘40^\circ. Find the side adjacent to the 40∘40^\circ angle, to 3 significant figures.

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Salam Academy Original Practice · Proposed mark scheme
SA-4024-TR2-0022 marksL1 FoundationCalculatorFinding sides
In a right-angled triangle, the side adjacent to a 30∘30^\circ angle is 88 cm. Find the side opposite the 30∘30^\circ angle, to 3 significant figures.

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Salam Academy Original Practice · Proposed mark scheme
SA-4024-TR2-0042 marksL1 FoundationCalculatorFinding angles
A right-angled triangle has hypotenuse 99 cm, and the side opposite angle θ\theta is 55 cm. Find θ\theta, to 1 decimal place.

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Salam Academy Original Practice · Proposed mark scheme
SA-4024-TR2-0061 markL1 FoundationCalculatorFinding sides
Without a calculator, tan⁡45∘=\tan45^\circ=
Choose one option

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Salam Academy Original Practice · Proposed mark scheme
SA-4024-TR-Q011 markL1 FoundationCalculatorFinding sides
In a right-angled triangle, sin⁡θ=\sin\theta=
Choose one option

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Salam Academy Original Practice · Proposed mark scheme
SA-4024-TR-Q031 markL1 FoundationCalculatorFinding angles
An angle of depression is measured
Choose one option

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Salam Academy Original Practice · Proposed mark scheme
SA-4024-TR-0042 marksL2 StandardCalculatorFinding sides
From a point 5050 m from the foot of a tower, on level ground, the angle of elevation of the top of the tower is 28∘28^\circ. Find the height of the tower, to 3 significant figures.

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Salam Academy Original Practice · Proposed mark scheme
SA-4024-TR-0052 marksL2 StandardCalculatorFinding angles
A cliff is 8080 m high. A boat is 150150 m from the foot of the cliff. Find the angle of depression of the boat from the top of the cliff, to 1 decimal place.

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Salam Academy Original Practice · Proposed mark scheme
SA-4024-TR2-0032 marksL2 StandardCalculatorFinding sides
In a right-angled triangle, the side opposite a 25∘25^\circ angle is 66 cm. Find the hypotenuse, to 3 significant figures.

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Salam Academy Original Practice · Proposed mark scheme
SA-4024-TR2-0052 marksL2 StandardCalculatorFinding angles
A ramp is 77 m long and covers a horizontal distance of 44 m. Find the angle the ramp makes with the ground, to 1 decimal place.

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Salam Academy Original Practice · Proposed mark scheme