Back to Area, volume and mensuration

Areas, volumes and circular measures topic check

Practise areas, volumes and circular measures in G1 Mathematics, check independently, and return later to review. This check covers selected skills, not the whole course topic.

Learning goals

Calculate arc length from a degree angle
Calculate sector area from a degree angle
Calculate a complete sector perimeter from a degree angle
Convert between square centimetres and square metres
Convert between cubic centimetres and cubic metres
Calculate the area of a parallelogram
Calculate the area of a trapezium
Calculate the volume of a cube or cuboid
Calculate the total surface area of a cube or cuboid
Calculate a right prism's volume from its cross-section and perpendicular length
Calculate a right prism's exposed area with the stated end faces
Calculate pyramid volume from base area and perpendicular height
Calculate a right square pyramid's exposed area from its face slant height
Calculate the volume of a right circular cylinder
Calculate cylinder area with the stated circular end faces
Calculate a right circular cone's volume from perpendicular height
Calculate a right circular cone's exposed area from its slant height
Calculate the volume of a sphere
Calculate the surface area of a sphere
Calculate the volume of a hemisphere
Calculate hemisphere area with or without its flat base
Calculate the area of a circle from a given radius or diameter
Calculate the circumference of a circle from a given radius or diameter
Calculate and justify area and perimeter
Calculate and justify volume and surface area

G1 Mathematics 2027

Start · Practise · Check · Review

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Choose a practice setConvert area and volume units · 4 questionsFind parallelogram and trapezium areas · 4 questionsFind cube and cuboid volumes · 2 questionsFind prism and cylinder volumes and surface areas · 12 questionsFind pyramid and cone volumes and surface areas · 8 questionsFind sphere and hemisphere volumes and surface areas · 8 questionsFind circle areas and circumferences · 4 questionsFind arc lengths, sector areas and perimeters in degrees · 6 questionsAll skills in this check

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Practise

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Area, volume and mensuration

Practise after feedback

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Area, volume and mensuration

Check your progress

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Area, volume and mensuration

Convert area and volume units · Check your progress

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Area, volume and mensuration

Find parallelogram and trapezium areas · Check your progress

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Area, volume and mensuration

Find cube and cuboid volumes · Check your progress

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Area, volume and mensuration

Find prism and cylinder volumes and surface areas · Check your progress

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Area, volume and mensuration

Find pyramid and cone volumes and surface areas · Check your progress

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Area, volume and mensuration

Find sphere and hemisphere volumes and surface areas · Check your progress

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Area, volume and mensuration

Find circle areas and circumferences · Check your progress

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Area, volume and mensuration

Find arc lengths, sector areas and perimeters in degrees · Check your progress

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Area, volume and mensuration

Check again

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Area, volume and mensuration

Convert area and volume units · Check again

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Area, volume and mensuration

Find parallelogram and trapezium areas · Check again

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Area, volume and mensuration

Find cube and cuboid volumes · Check again

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Area, volume and mensuration

Find prism and cylinder volumes and surface areas · Check again

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Area, volume and mensuration

Find pyramid and cone volumes and surface areas · Check again

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Area, volume and mensuration

Find sphere and hemisphere volumes and surface areas · Check again

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Area, volume and mensuration

Find circle areas and circumferences · Check again

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Area, volume and mensuration

Find arc lengths, sector areas and perimeters in degrees · Check again

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Area, volume and mensuration

Retention check

Come back later to see whether your learning has lasted.

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Area, volume and mensuration

Convert area and volume units · Retention check

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Area, volume and mensuration

Find parallelogram and trapezium areas · Retention check

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Area, volume and mensuration

Find cube and cuboid volumes · Retention check

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Area, volume and mensuration

Find prism and cylinder volumes and surface areas · Retention check

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Area, volume and mensuration

Find pyramid and cone volumes and surface areas · Retention check

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Area, volume and mensuration

Find sphere and hemisphere volumes and surface areas · Retention check

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Area, volume and mensuration

Find circle areas and circumferences · Retention check

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Area, volume and mensuration

Find arc lengths, sector areas and perimeters in degrees · Retention check

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Area, volume and mensuration

Practise: Convert area and volume units

Practise questions on the skills you are learning.

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Area, volume and mensuration

Practise: Find parallelogram and trapezium areas

Practise questions on the skills you are learning.

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Area, volume and mensuration

Practise: Find cube and cuboid volumes

Practise questions on the skills you are learning.

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Area, volume and mensuration

Practise: Find prism and cylinder volumes and surface areas

Practise questions on the skills you are learning.

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Area, volume and mensuration

Practise: Find pyramid and cone volumes and surface areas

Practise questions on the skills you are learning.

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Area, volume and mensuration

Practise: Find sphere and hemisphere volumes and surface areas

Practise questions on the skills you are learning.

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Area, volume and mensuration

Practise: Find circle areas and circumferences

Practise questions on the skills you are learning.

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Area, volume and mensuration

Practise: Find arc lengths, sector areas and perimeters in degrees

Practise questions on the skills you are learning.

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Area, volume and mensuration

Revision notes

Revise area, volume and mensuration

Convert area and volume units, trace composite boundaries and calculate surfaces, solids, degree sectors and arc lengths.

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.

What the syllabus asks

From the G1 Mathematics 2027 syllabus

Area of triangle as ½ × base × height
Area and circumference of circle
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 as fraction of the circumference and sector area as fraction of the area of a circle