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Properties and constructions exam tips

Study Properties and constructions with curriculum-aligned Exam Tips resources, practice links, and exam-focused support.

At a glance

exam tips

Resource type

Topic

Properties and constructions

AqaGcseMathematicsGeometry and measures

Exam tips

  • 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.