Practise this topic

10 resources
⚙️ Worksheet

3D 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…

GCSE and A Level
⚙️ Worksheet

3D 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…

GCSE and A Level
⚙️ Worksheet

3D 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).…

GCSE and A Level
⚙️ Worksheet

Naming 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…

GCSE and A Level
⬢ Blockbusters

3D 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…

GCSE and A Level
⬢ Blockbusters

3D 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.

GCSE and A Level
🧮 Tool

3D 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…

GCSE
⬢ Blockbusters

3D 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…

GCSE and A Level
⬢ Blockbusters

Naming 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…

GCSE and A Level
🧩 Connections

Pythagoras & 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.

GCSE

These are the pages for Solving problems in 3D in the GCSE scheme of work, following Pearson Edexcel GCSE (9–1) Mathematics, Higher tier (1MA1). Open this topic in Mr Wells Maths to see it alongside the rest of the course.