Start · Practise · Check · Review
Finding your next step…This check didn’t finish loading. Reload the page to try again.
Your next step
Check what you know
Answer each question and say how sure you are to find what to practise next.
Check what you know
Start here to see which parts you already know.
Time is up and your answers could not be submitted; check your connection and try again.
Paper instructions
- Question count checked before you start
- Feedback when you submit
This shows what to work on next and doesn’t count towards your course progress.
Your work
Without an account, unfinished answers stay in this tab. Signed in, they are saved on this device until the deadline shown when you start.
Getting your questions…
Recent attempts
History is stored only in this browser.
No completed attempts are saved yet.
Your question
Beyond the syllabus: optional enrichment that does not count towards your progress.
Working pad
Print for practice
Review answers
Check your entries. Select a question to return to it.
Starting check complete
Next steps
- Monday
- Tuesday
- Wednesday
- Thursday
- Friday
- Saturday
- Sunday
Checking learning on this device…
Change goal
Skills and assessment details
Where marks were lost
Your answers
Print for practice
Print these questions with space to work, or print their released worked answers separately.
Practise
Practise questions on the skills you are learning.
Loading your check…
Reload the page if the check does not appear.
Practise after feedback
After a check, practise the skills it showed you need to work on.
Loading your check…
Reload the page if the check does not appear.
Check your progress
When you feel ready, answer on your own to show what you can do.
Loading your check…
Reload the page if the check does not appear.
Convert area and volume units · Check your progress
When you feel ready, answer on your own to show what you can do.
Loading your check…
Reload the page if the check does not appear.
Find parallelogram and trapezium areas · Check your progress
When you feel ready, answer on your own to show what you can do.
Loading your check…
Reload the page if the check does not appear.
Find cube and cuboid volumes · Check your progress
When you feel ready, answer on your own to show what you can do.
Loading your check…
Reload the page if the check does not appear.
Find prism and cylinder volumes and surface areas · Check your progress
When you feel ready, answer on your own to show what you can do.
Loading your check…
Reload the page if the check does not appear.
Find pyramid and cone volumes and surface areas · Check your progress
When you feel ready, answer on your own to show what you can do.
Loading your check…
Reload the page if the check does not appear.
Find sphere and hemisphere volumes and surface areas · Check your progress
When you feel ready, answer on your own to show what you can do.
Loading your check…
Reload the page if the check does not appear.
Find circle areas and circumferences · Check your progress
When you feel ready, answer on your own to show what you can do.
Loading your check…
Reload the page if the check does not appear.
Find arc lengths, sector areas and perimeters in degrees · Check your progress
When you feel ready, answer on your own to show what you can do.
Loading your check…
Reload the page if the check does not appear.
Use radians for angles, arcs and sectors · Check your progress
When you feel ready, answer on your own to show what you can do.
Loading your check…
Reload the page if the check does not appear.
Find the area of a segment of a circle · Check your progress
When you feel ready, answer on your own to show what you can do.
Loading your check…
Reload the page if the check does not appear.
Check again
After practising what your progress check showed, check those skills again.
Loading your check…
Reload the page if the check does not appear.
Convert area and volume units · Check again
After practising what your progress check showed, check those skills again.
Loading your check…
Reload the page if the check does not appear.
Find parallelogram and trapezium areas · Check again
After practising what your progress check showed, check those skills again.
Loading your check…
Reload the page if the check does not appear.
Find cube and cuboid volumes · Check again
After practising what your progress check showed, check those skills again.
Loading your check…
Reload the page if the check does not appear.
Find prism and cylinder volumes and surface areas · Check again
After practising what your progress check showed, check those skills again.
Loading your check…
Reload the page if the check does not appear.
Find pyramid and cone volumes and surface areas · Check again
After practising what your progress check showed, check those skills again.
Loading your check…
Reload the page if the check does not appear.
Find sphere and hemisphere volumes and surface areas · Check again
After practising what your progress check showed, check those skills again.
Loading your check…
Reload the page if the check does not appear.
Find circle areas and circumferences · Check again
After practising what your progress check showed, check those skills again.
Loading your check…
Reload the page if the check does not appear.
Find arc lengths, sector areas and perimeters in degrees · Check again
After practising what your progress check showed, check those skills again.
Loading your check…
Reload the page if the check does not appear.
Use radians for angles, arcs and sectors · Check again
After practising what your progress check showed, check those skills again.
Loading your check…
Reload the page if the check does not appear.
Find the area of a segment of a circle · Check again
After practising what your progress check showed, check those skills again.
Loading your check…
Reload the page if the check does not appear.
Retention check
Come back later to see whether your learning has lasted.
Loading your check…
Reload the page if the check does not appear.
Convert area and volume units · Retention check
Come back later to see whether your learning has lasted.
Loading your check…
Reload the page if the check does not appear.
Find parallelogram and trapezium areas · Retention check
Come back later to see whether your learning has lasted.
Loading your check…
Reload the page if the check does not appear.
Find cube and cuboid volumes · Retention check
Come back later to see whether your learning has lasted.
Loading your check…
Reload the page if the check does not appear.
Find prism and cylinder volumes and surface areas · Retention check
Come back later to see whether your learning has lasted.
Loading your check…
Reload the page if the check does not appear.
Find pyramid and cone volumes and surface areas · Retention check
Come back later to see whether your learning has lasted.
Loading your check…
Reload the page if the check does not appear.
Find sphere and hemisphere volumes and surface areas · Retention check
Come back later to see whether your learning has lasted.
Loading your check…
Reload the page if the check does not appear.
Find circle areas and circumferences · Retention check
Come back later to see whether your learning has lasted.
Loading your check…
Reload the page if the check does not appear.
Find arc lengths, sector areas and perimeters in degrees · Retention check
Come back later to see whether your learning has lasted.
Loading your check…
Reload the page if the check does not appear.
Use radians for angles, arcs and sectors · Retention check
Come back later to see whether your learning has lasted.
Loading your check…
Reload the page if the check does not appear.
Find the area of a segment of a circle · Retention check
Come back later to see whether your learning has lasted.
Loading your check…
Reload the page if the check does not appear.
Practise: Convert area and volume units
Practise questions on the skills you are learning.
Loading your check…
Reload the page if the check does not appear.
Practise: Find parallelogram and trapezium areas
Practise questions on the skills you are learning.
Loading your check…
Reload the page if the check does not appear.
Practise: Find cube and cuboid volumes
Practise questions on the skills you are learning.
Loading your check…
Reload the page if the check does not appear.
Practise: Find prism and cylinder volumes and surface areas
Practise questions on the skills you are learning.
Loading your check…
Reload the page if the check does not appear.
Practise: Find pyramid and cone volumes and surface areas
Practise questions on the skills you are learning.
Loading your check…
Reload the page if the check does not appear.
Practise: Find sphere and hemisphere volumes and surface areas
Practise questions on the skills you are learning.
Loading your check…
Reload the page if the check does not appear.
Practise: Find circle areas and circumferences
Practise questions on the skills you are learning.
Loading your check…
Reload the page if the check does not appear.
Practise: Find arc lengths, sector areas and perimeters in degrees
Practise questions on the skills you are learning.
Loading your check…
Reload the page if the check does not appear.
Practise: Use radians for angles, arcs and sectors
Practise questions on the skills you are learning.
Loading your check…
Reload the page if the check does not appear.
Practise: Find the area of a segment of a circle
Practise questions on the skills you are learning.
Loading your check…
Reload the page if the check does not appear.
Next step
Revision notes
Calculate composite areas, exposed surfaces and volumes in G3 Mathematics, choosing matching degree or radian measures for circular regions.
Key ideas
- Units, heights and composite area
Convert squared and cubed units, then use perpendicular heights and non-overlapping regions to calculate area.
- Circles and composite boundaries
Use the radius for circle area and trace every part of a composite boundary.
- Cuboids and liquid volume
Use complete layers to derive cuboid volume and measure liquid in a rectangular tank.
- Prisms, cylinders and exposed surfaces
Separate cross-sectional area, perpendicular length, volume and the surfaces actually exposed.
- Pyramids, cones and spheres
Distinguish perpendicular height, slant height and radius when using volume and surface-area formulae.
- Degree sectors and arc lengths
Use the sector’s share of a full turn and distinguish an arc from the complete sector perimeter.
- Radians, sectors and segments
Use radian measure consistently and subtract a triangle only for the matching segment.
From the G3 Mathematics 2027 syllabus
- Area of parallelogram and trapezium
- Problems involving perimeter and area of composite plane figures
- Volume and surface area of cube, cuboid, prism, cylinder, pyramid, cone and sphere
- Conversion between cm^2 and m^2 , and between cm^3 and m^3
- Problems involving volume and surface area of composite solids
- Arc length, sector area and area of a segment of a circle
- Use of radian measure of angle (including conversion between radians and degrees)