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10 resources3D Pythagoras: Exercise
Lengths in 3D with Pythagoras: diagonals of a cuboid and of prisms, the height, a sloping edge or a side of a pyramid, lengths to midpoints, then several steps (a pyramid on a cuboid, working back from a space diagonal). Answers…
⚙️ Worksheet3D Trigonometry
Cuboids and right pyramids: Pythagoras twice, the angle between two lines (cuboid, then pyramid), the angle between a line and a plane or between two planes (cuboid, then pyramid), the sine and cosine rules in 3D, then pyramids…
⚙️ Worksheet3D Trigonometry: Exercise
Name the angle, then find it: the angle between a line and a plane in a cuboid, a prism and a pyramid, with midpoints, then the angle between two planes (vertices only, through midpoints, and with lengths given as a ratio).…
⚙️ WorksheetNaming Angles and Planes
Naming angles with three letters (the vertex in the middle), triangles, quadrilaterals and planes: in 2D figures, then the faces and planes that cut through cuboids, prisms and pyramids, angles with edges and diagonals, and with…
⬢ Blockbusters3D Pythagoras: Exercise Blockbusters
Blockbusters with the questions from the 3D Pythagoras: Exercise worksheet: choose its levels for the ordinary hexagons and for the harder ★ ones. Show the answer and the worked solution, or play against the computer with…
⬢ Blockbusters3D Trigonometry Blockbusters
Blockbusters with the questions from the 3D Trigonometry worksheet: choose its levels for the ordinary hexagons and for the harder ★ ones. Show the answer and the worked solution, or play against the computer with multiple choice.
🧮 Tool3D Trigonometry Builder
Build a 3D diagram and find the right-angled triangle inside it: cuboids, triangular prisms (wedges), rectangular pyramids, tetrahedra, cylinders, cones, spheres and hemispheres, with their dimensions, joined up to three at a…
⬢ Blockbusters3D Trigonometry: Exercise Blockbusters
Blockbusters with the questions from the 3D Trigonometry: Exercise worksheet: choose its levels for the ordinary hexagons and for the harder ★ ones. Show the answer and the worked solution, or play against the computer with…
⬢ BlockbustersNaming Angles and Planes Blockbusters
Blockbusters with the questions from the Naming Angles and Planes worksheet: choose its levels for the ordinary hexagons and for the harder ★ ones. Show the answer and the worked solution, or play against the computer with…
🧩 ConnectionsPythagoras & Trigonometry
Group Pythagoras, distance-between-points and exact-value trig problems by the length they give. Slips land on other groups from Standard; surds and 3D on Hard.
These are the pages for Problems in three dimensions in the GCSE + AQA Level 2 Further Maths scheme of work, following Pearson Edexcel GCSE (9–1) Higher (1MA1), plus AQA Level 2 Further Mathematics (8365). Open this topic in Mr Wells Maths to see it alongside the rest of the course.