Study resource

Properties and constructions exam tips

Use these exam tips for Properties and constructions in AQA Mathematics 8300. The page is built from approved learning objectives for this topic and links back to the wider unit, topic hub, and related revision assets.

At a glance

exam tips

Resource type

Topic

Properties and constructions

AQAGCSEMathematicsGeometry and measures

Exam tips

  • Geometric terms and notation exam tip 1

    Write the method before the answer so the examiner can follow each step. Apply this to [Foundation and Higher] Use conventional geometric terms and notation for points, lines, vertices, edges, planes, angles, polygons and symmetries..

    This keeps the answer actionable and aligned to Geometric terms and notation, rather than giving generic revision advice.

  • Geometric terms and notation exam tip 1

    Write the method before the answer so the examiner can follow each step. Apply this to [Foundation and Higher] Use standard conventions for triangle sides and angles and draw diagrams from written descriptions..

    This keeps the answer actionable and aligned to Geometric terms and notation, rather than giving generic revision advice.

  • Constructions and loci exam tip 1

    Write the method before the answer so the examiner can follow each step. Apply this to [Foundation and Higher] Use standard ruler and compass constructions, including perpendicular bisectors, perpendiculars and angle bisectors..

    This keeps the answer actionable and aligned to Constructions and loci, rather than giving generic revision advice.

  • Constructions and loci exam tip 1

    Write the method before the answer so the examiner can follow each step. Apply this to [Foundation and Higher] Use constructions to construct figures and solve loci problems..

    This keeps the answer actionable and aligned to Constructions and loci, rather than giving generic revision advice.

  • Constructions and loci exam tip 1

    Write the method before the answer so the examiner can follow each step. Apply this to [Foundation and Higher] Know that perpendicular distance from a point to a line is the shortest distance to the line..

    This keeps the answer actionable and aligned to Constructions and loci, rather than giving generic revision advice.

  • Angle facts exam tip 1

    Write the method before the answer so the examiner can follow each step. Apply this to [Foundation and Higher] Apply angle facts at a point, on a straight line and for vertically opposite angles..

    This keeps the answer actionable and aligned to Angle facts, rather than giving generic revision advice.

  • Angle facts exam tip 1

    Write the method before the answer so the examiner can follow each step. Apply this to [Foundation and Higher] Use alternate and corresponding angles on parallel lines..

    This keeps the answer actionable and aligned to Angle facts, rather than giving generic revision advice.

  • Angle facts exam tip 1

    Write the method before the answer so the examiner can follow each step. Apply this to [Foundation and Higher] Derive and use angle sums in triangles and polygons and properties of regular polygons..

    This keeps the answer actionable and aligned to Angle facts, rather than giving generic revision advice.

  • Quadrilaterals, triangles and polygons exam tip 1

    Write the method before the answer so the examiner can follow each step. Apply this to [Foundation and Higher] Derive and apply properties and definitions of special quadrilaterals, triangles and other plane figures using appropriate language..

    This keeps the answer actionable and aligned to Quadrilaterals, triangles and polygons, rather than giving generic revision advice.

  • Triangle congruence exam tip 1

    Write the method before the answer so the examiner can follow each step. Apply this to [Foundation and Higher] Use basic triangle congruence criteria: SSS, SAS, ASA and RHS..

    This keeps the answer actionable and aligned to Triangle congruence, rather than giving generic revision advice.

  • Geometric reasoning and proof exam tip 1

    Write the method before the answer so the examiner can follow each step. Apply this to [Foundation and Higher] Apply angle facts, congruence, similarity and quadrilateral properties to conjecture and derive results about angles and sides..

    This keeps the answer actionable and aligned to Geometric reasoning and proof, rather than giving generic revision advice.

  • Geometric reasoning and proof exam tip 1

    Write the method before the answer so the examiner can follow each step. Apply this to [Foundation and Higher] Use known results including Pythagoras' theorem and isosceles base angles to obtain simple proofs.. If using Pythagoras, mention the right-angled triangle and the hypotenuse.

    This keeps the answer actionable and aligned to Geometric reasoning and proof, rather than giving generic revision advice.

  • Transformations and similarity exam tip 1

    Write the method before the answer so the examiner can follow each step. Apply this to [Foundation and Higher] Identify, describe and construct congruent and similar shapes, including on coordinate axes, using rotations, reflections, translations and enlargements..

    This keeps the answer actionable and aligned to Transformations and similarity, rather than giving generic revision advice.

  • Transformations and similarity exam tip 1

    Write the method before the answer so the examiner can follow each step. Apply this to [Foundation and Higher] Include fractional scale factors where tier-appropriate..

    This keeps the answer actionable and aligned to Transformations and similarity, rather than giving generic revision advice.

  • Transformations and similarity exam tip 1

    Write the method before the answer so the examiner can follow each step. Apply this to [Higher only] Include negative scale factors..

    This keeps the answer actionable and aligned to Transformations and similarity, rather than giving generic revision advice.

  • Combined transformations exam tip 1

    Write the method before the answer so the examiner can follow each step. Apply this to [Foundation and Higher] Describe changes and invariance from combinations of rotations, reflections and translations..

    This keeps the answer actionable and aligned to Combined transformations, rather than giving generic revision advice.

  • Combined transformations exam tip 1

    Write the method before the answer so the examiner can follow each step. Apply this to [Foundation and Higher] Use column vector notation for translations..

    This keeps the answer actionable and aligned to Combined transformations, rather than giving generic revision advice.

  • Circle definitions and properties exam tip 1

    Write the method before the answer so the examiner can follow each step. Apply this to [Foundation and Higher] Identify and apply circle definitions and properties including centre, radius, chord, diameter and circumference..

    This keeps the answer actionable and aligned to Circle definitions and properties, rather than giving generic revision advice.

  • Circle definitions and properties exam tip 1

    Write the method before the answer so the examiner can follow each step. Apply this to [Foundation and Higher] Include tangent, arc, sector and segment where tier-appropriate..

    This keeps the answer actionable and aligned to Circle definitions and properties, rather than giving generic revision advice.

  • Circle theorems exam tip 1

    Write the method before the answer so the examiner can follow each step. Apply this to [Higher only] Apply and prove standard circle theorems concerning angles, radii, tangents and chords..

    This keeps the answer actionable and aligned to Circle theorems, rather than giving generic revision advice.

  • Circle theorems exam tip 1

    Write the method before the answer so the examiner can follow each step. Apply this to [Higher only] Use circle theorems to prove related geometric results..

    This keeps the answer actionable and aligned to Circle theorems, rather than giving generic revision advice.

  • Coordinate geometry exam tip 1

    Write the method before the answer so the examiner can follow each step. Apply this to [Foundation and Higher] Solve geometrical problems on coordinate axes..

    This keeps the answer actionable and aligned to Coordinate geometry, rather than giving generic revision advice.

  • Properties of three-dimensional shapes exam tip 1

    Write the method before the answer so the examiner can follow each step. Apply this to [Foundation and Higher] Identify properties of faces, surfaces, edges and vertices of cubes, cuboids, prisms, cylinders, pyramids, cones and spheres..

    This keeps the answer actionable and aligned to Properties of three-dimensional shapes, rather than giving generic revision advice.

  • Plans and elevations exam tip 1

    Write the method before the answer so the examiner can follow each step. Apply this to [Foundation and Higher] Interpret plans and elevations of three-dimensional shapes..

    This keeps the answer actionable and aligned to Plans and elevations, rather than giving generic revision advice.

  • Plans and elevations exam tip 1

    Write the method before the answer so the examiner can follow each step. Apply this to [Foundation and Higher] Construct plans and elevations of three-dimensional shapes where tier-appropriate..

    This keeps the answer actionable and aligned to Plans and elevations, rather than giving generic revision advice.

Related topics

Study nearby topics next