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Mathematics · Topic 32

3d solids: volume, surface area and scale

Sub-topic 1 2025 · National One-Eighth Free

Riddles: identifying a solid from its faces, edges and vertices

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Sub-topic 2 2023 · National Preliminary Premium

Riddles: the tetrahedron, cone, cylinder, sphere and prism

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Sub-topic 3 2003 · National Semifinal Premium

Curved surface area of a right cylinder is $2\pi rh$ (true/false)

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Sub-topic 4 2003 · National Semifinal Premium

Volume of a pyramid is $\dfrac{1}{3}bh$ (true/false)

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Sub-topic 5 2012 · National Preliminary Premium

Riddles: the polyhedron, face, edge, vertex, prism and pyramid

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Sub-topic 6 2013 · National Preliminary Premium

Total surface area of a cubic box of side $3$ cm

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Sub-topic 7 2013 · National Preliminary Premium

Base side of a square pyramid of height $12$ cm and volume $64$ cm$^3$

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Sub-topic 8 2013 · National Preliminary Premium

Volume of a cone of radius $7$ cm and height $18$ cm, using $\pi=\dfrac{22}{7}$

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Sub-topic 9 2013 · National Preliminary Premium

Volume of a sphere when the radius is tripled ($27$ times)

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Sub-topic 10 2013 · National Preliminary Premium

Map scale when $15$ km is represented by $3$ cm

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Sub-topic 11 2013 · National Preliminary Premium

Distance for $3$ cm when $200$ km is represented by $4$ cm

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Sub-topic 12 2013 · National Preliminary Premium

Surface area of a sphere $4\pi r^2$ (true/false)

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Sub-topic 13 2013 · National Preliminary Premium

Volume of a pyramid uses $\dfrac{1}{3}$, not $\dfrac{1}{2}$, of base area times height (true/false)

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Sub-topic 14 2013 · National Quarterfinal Premium

Riddles: the polyhedron, prism, pyramid, cube, cuboid and tetrahedron

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Sub-topic 15 2016 · National One-Eighth Premium

Map scale when $15$ km is represented by $3$ cm on the map

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Sub-topic 16 2016 · National One-Eighth Premium

A square pyramid has four triangular faces and one square base (true/false)

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Sub-topic 17 2016 · National One-Eighth Premium

A square pyramid has five vertices (true/false)

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Sub-topic 18 2016 · National One-Eighth Premium

A square pyramid has eight edges (true/false)

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Sub-topic 19 2017 · National Semifinal Premium

Riddles: the tetrahedron, pyramids, prisms, cube and octahedron

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Sub-topic 20 2022 · National Preliminary Premium

Riddles: vertex, apex, base and edge

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Sub-topic 21 2022 · National Preliminary Premium

Volume of a tetrahedron is $\dfrac{1}{3}a_{\text{base}}h$ (true/false)

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Sub-topic 22 2022 · National Preliminary Premium

Volume of a cylinder is $a_{\text{base}}h$ (true/false)

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Sub-topic 23 2022 · National Preliminary Premium

Volume of a cone is $\dfrac{1}{3}a_{\text{base}}h$ (true/false)

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