Grade 6
Volume, sole
This test develops understanding of volume and capacity and the distinction between them. Tasks involve space occupied by solid objects, selection of suitable cubic or capacity units and simple practical calculations.
Tests by topic
Solid geometry
These tests help build a secure understanding of each topic and its solution methods. Choose a test for your school level and work at your own pace.
Tests by topic
Tests for this topic
Grade 7
Solids: volume and surface area
Dynamic tasks on volumes and surface areas of prisms, cylinders, pyramids and cones, including comprehension of their elements and scale effects.
Grade 8
Pythagoras in solids
Dynamic tasks on space diagonals, cone slant height, pyramid apothem, sphere area and volume.
Grade 12
Lines and planes in space
This test covers the main relationships between lines and planes in space. Tasks apply axioms of solid geometry, identify parallelism and perpendicularity and calculate distances and angles in three-dimensional figures.
Grade 12
Prisms and pyramids
This test develops geometric reasoning and calculations with prisms and pyramids. Students find volume, lateral and total surface area, altitude and edges and analyse diagonal cross-sections.
Grade 12
Cylinder, cone and sphere
This test covers the principal elements and properties of cylinders, cones and spheres. Tasks calculate volume, lateral and total surface area, interpret axial sections and select an appropriate formula.
Grade 12
Cross-sections of solids
Recognition and area problems for sections of cubes, prisms, pyramids, cylinders and cones.