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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-ME-0082 marksL1 FoundationCalculatorSpheres
A sphere has radius 66 cm. Find (a) its volume (b) its surface area. Give your answers to 3 significant figures.

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Salam Academy Original Practice · Proposed mark scheme
SA-4024-ME-0102 marksL1 FoundationNon-calculatorPyramids & cones
A pyramid has a square base of side 66 cm and a vertical height of 1010 cm. Find its volume.

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Salam Academy Original Practice · Proposed mark scheme
SA-4024-ME4-0012 marksL1 FoundationNon-calculatorPyramids & cones
A cone has base radius 55 cm and vertical height 1212 cm. Find its slant height.

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Salam Academy Original Practice · Proposed mark scheme
SA-4024-ME4-0032 marksL1 FoundationCalculatorSpheres
Find the volume of a hemisphere of radius 33 cm, in terms of π\pi.

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Salam Academy Original Practice · Proposed mark scheme
SA-4024-ME4-0052 marksL1 FoundationNon-calculatorPyramids & cones
A pyramid has a rectangular base 88 cm by 55 cm and a vertical height of 66 cm. Find its volume.

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Salam Academy Original Practice · Proposed mark scheme
SA-4024-ME-Q031 markL1 FoundationCalculatorPyramids & cones
The volume of a cone with base radius rr and height hh is
Choose one option

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Salam Academy Original Practice · Proposed mark scheme
SA-4024-ME-0074 marksL2 StandardCalculatorPyramids & cones
A solid cone has base radius 33 cm and vertical height 44 cm. Find (a) its volume (b) its total surface area. Give your answers to 3 significant figures.

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Salam Academy Original Practice · Proposed mark scheme
SA-4024-ME-0112 marksL2 StandardNon-calculatorSpheres
A sphere has volume 36π36\pi cm3^3. Find its radius.

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Salam Academy Original Practice · Proposed mark scheme
SA-4024-ME4-0022 marksL2 StandardCalculatorPyramids & cones
A cone has base radius 55 cm and slant height 1313 cm. Find its curved surface area, in terms of π\pi.

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Salam Academy Original Practice · Proposed mark scheme
SA-4024-ME4-0042 marksL2 StandardCalculatorSpheres
A sphere has surface area 100π100\pi cm2^2. Find its radius.

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Salam Academy Original Practice · Proposed mark scheme
SA-4024-ME-0144 marksL3 ExamCalculatorPyramids & cones
A cone has height 1212 cm and base radius 66 cm. A cone of height 66 cm is cut from the top, leaving a frustum. Find the volume of the frustum, to 3 significant figures.

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Salam Academy Original Practice · Proposed mark scheme
SA-4024-ME-0166 marksL4 ChallengingCalculatorSpheres
A solid is a cylinder of radius 33 cm and height 88 cm, with a hemisphere of radius 33 cm on top. Find (a) its volume (b) its total surface area. Give your answers to 3 significant figures.

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Salam Academy Original Practice · Proposed mark scheme