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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-TR4-0012 marksL1 FoundationCalculator3D lengths
A cube has edges of 44 cm. Find the length of a diagonal of one face, to 3 significant figures.

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Salam Academy Original Practice · Proposed mark scheme
SA-4024-TR4-0032 marksL1 FoundationNon-calculator3D lengths
A cuboid is 33 cm by 44 cm by 1212 cm. Find the length of its longest diagonal.

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Salam Academy Original Practice · Proposed mark scheme
SA-4024-TR4-0042 marksL1 FoundationNon-calculator3D lengths
A cuboid is 22 cm by 33 cm by 66 cm. Find the length of its longest diagonal.

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Salam Academy Original Practice · Proposed mark scheme
SA-4024-TR4-0101 markL1 FoundationCalculator3D angles
The angle between a line and a plane is the angle between
Choose one option

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Salam Academy Original Practice · Proposed mark scheme
SA-4024-TR-0122 marksL2 StandardNon-calculator3D lengths
A cuboid measures 66 cm by 88 cm by 2424 cm. Find the length of its longest diagonal.

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Salam Academy Original Practice · Proposed mark scheme
SA-4024-TR4-0022 marksL2 StandardCalculator3D lengths
A cube has edges of 44 cm. Find the length of the diagonal from one corner to the opposite corner through the cube, to 3 significant figures.

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Salam Academy Original Practice · Proposed mark scheme
SA-4024-TR4-0053 marksL2 StandardCalculator3D lengths
A pyramid has a square base of side 66 cm. Its top is 44 cm vertically above the centre of the base. Find the length of a sloping edge, to 3 significant figures.

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Salam Academy Original Practice · Proposed mark scheme
SA-4024-TR4-0062 marksL2 StandardCalculator3D angles
For the pyramid with square base of side 66 cm and height 44 cm (top above the centre), find the angle between a sloping edge and the base, to 1 decimal place.

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Salam Academy Original Practice · Proposed mark scheme
SA-4024-TR4-0073 marksL2 StandardCalculator3D angles
A cube has edges of 44 cm. Find the angle between a space diagonal and the base of the cube, to 1 decimal place.

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Salam Academy Original Practice · Proposed mark scheme
SA-4024-TR-0133 marksL3 ExamCalculator3D angles
For the cuboid 66 cm by 88 cm by 2424 cm, with the 66 by 88 face as its base, find the angle between the longest diagonal and the base, to 1 decimal place.

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Salam Academy Original Practice · Proposed mark scheme
SA-4024-TR4-0083 marksL3 ExamCalculator3D angles
A vertical flagpole 1010 m tall stands at one corner of a flat rectangular field 3030 m by 4040 m. Find the angle of elevation of the top of the pole from the opposite corner of the field, to 1 decimal place.

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Salam Academy Original Practice · Proposed mark scheme
SA-4024-TR4-0093 marksL3 ExamNon-calculator3D lengths
A pyramid has a square base of side 88 cm and sloping edges of 99 cm. Its top is above the centre of the base. Find its vertical height.

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Salam Academy Original Practice · Proposed mark scheme