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Properties and constructions common mistakes

Use these common mistakes 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.

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common mistakes

Resource type

Topic

Properties and constructions

AQAGCSEMathematicsGeometry and measures

Common mistakes

  • Geometric terms and notation common mistake 1

    Writing a final answer without showing the method that justifies it. This can weaken answers for: [Foundation and Higher] Use conventional geometric terms and notation for points, lines, vertices, edges, planes, angles, polygons and symmetries..

    Show the method first, then give the final answer in the required form. Apply this directly to Geometric terms and notation.

  • Geometric terms and notation common mistake 1

    Writing a final answer without showing the method that justifies it. This can weaken answers for: [Foundation and Higher] Use standard conventions for triangle sides and angles and draw diagrams from written descriptions..

    Show the method first, then give the final answer in the required form. Apply this directly to Geometric terms and notation.

  • Constructions and loci common mistake 1

    Writing a final answer without showing the method that justifies it. This can weaken answers for: [Foundation and Higher] Use standard ruler and compass constructions, including perpendicular bisectors, perpendiculars and angle bisectors..

    Show the method first, then give the final answer in the required form. Apply this directly to Constructions and loci.

  • Constructions and loci common mistake 1

    Writing a final answer without showing the method that justifies it. This can weaken answers for: [Foundation and Higher] Use constructions to construct figures and solve loci problems..

    Show the method first, then give the final answer in the required form. Apply this directly to Constructions and loci.

  • Constructions and loci common mistake 1

    Writing a final answer without showing the method that justifies it. This can weaken answers for: [Foundation and Higher] Know that perpendicular distance from a point to a line is the shortest distance to the line..

    Show the method first, then give the final answer in the required form. Apply this directly to Constructions and loci.

  • Angle facts common mistake 1

    Writing a final answer without showing the method that justifies it. This can weaken answers for: [Foundation and Higher] Apply angle facts at a point, on a straight line and for vertically opposite angles..

    Show the method first, then give the final answer in the required form. Apply this directly to Angle facts.

  • Angle facts common mistake 1

    Writing a final answer without showing the method that justifies it. This can weaken answers for: [Foundation and Higher] Use alternate and corresponding angles on parallel lines..

    Show the method first, then give the final answer in the required form. Apply this directly to Angle facts.

  • Angle facts common mistake 1

    Writing a final answer without showing the method that justifies it. This can weaken answers for: [Foundation and Higher] Derive and use angle sums in triangles and polygons and properties of regular polygons..

    Show the method first, then give the final answer in the required form. Apply this directly to Angle facts.

  • Quadrilaterals, triangles and polygons common mistake 1

    Writing a final answer without showing the method that justifies it. This can weaken answers for: [Foundation and Higher] Derive and apply properties and definitions of special quadrilaterals, triangles and other plane figures using appropriate language..

    Show the method first, then give the final answer in the required form. Apply this directly to Quadrilaterals, triangles and polygons.

  • Triangle congruence common mistake 1

    Writing a final answer without showing the method that justifies it. This can weaken answers for: [Foundation and Higher] Use basic triangle congruence criteria: SSS, SAS, ASA and RHS..

    Show the method first, then give the final answer in the required form. Apply this directly to Triangle congruence.

  • Geometric reasoning and proof common mistake 1

    Writing a final answer without showing the method that justifies it. This can weaken answers for: [Foundation and Higher] Apply angle facts, congruence, similarity and quadrilateral properties to conjecture and derive results about angles and sides..

    Show the method first, then give the final answer in the required form. Apply this directly to Geometric reasoning and proof.

  • Geometric reasoning and proof common mistake 1

    Writing a final answer without showing the method that justifies it. This can weaken answers for: [Foundation and Higher] Use known results including Pythagoras' theorem and isosceles base angles to obtain simple proofs..

    Show the method first, then give the final answer in the required form. Apply this directly to Geometric reasoning and proof. For Pythagoras, confirm the triangle is right-angled and identify the hypotenuse.

  • Transformations and similarity common mistake 1

    Writing a final answer without showing the method that justifies it. This can weaken answers for: [Foundation and Higher] Identify, describe and construct congruent and similar shapes, including on coordinate axes, using rotations, reflections, translations and enlargements..

    Show the method first, then give the final answer in the required form. Apply this directly to Transformations and similarity.

  • Transformations and similarity common mistake 1

    Writing a final answer without showing the method that justifies it. This can weaken answers for: [Foundation and Higher] Include fractional scale factors where tier-appropriate..

    Show the method first, then give the final answer in the required form. Apply this directly to Transformations and similarity.

  • Transformations and similarity common mistake 1

    Writing a final answer without showing the method that justifies it. This can weaken answers for: [Higher only] Include negative scale factors..

    Show the method first, then give the final answer in the required form. Apply this directly to Transformations and similarity.

  • Combined transformations common mistake 1

    Writing a final answer without showing the method that justifies it. This can weaken answers for: [Foundation and Higher] Describe changes and invariance from combinations of rotations, reflections and translations..

    Show the method first, then give the final answer in the required form. Apply this directly to Combined transformations.

  • Combined transformations common mistake 1

    Writing a final answer without showing the method that justifies it. This can weaken answers for: [Foundation and Higher] Use column vector notation for translations..

    Show the method first, then give the final answer in the required form. Apply this directly to Combined transformations.

  • Circle definitions and properties common mistake 1

    Writing a final answer without showing the method that justifies it. This can weaken answers for: [Foundation and Higher] Identify and apply circle definitions and properties including centre, radius, chord, diameter and circumference..

    Show the method first, then give the final answer in the required form. Apply this directly to Circle definitions and properties.

  • Circle definitions and properties common mistake 1

    Writing a final answer without showing the method that justifies it. This can weaken answers for: [Foundation and Higher] Include tangent, arc, sector and segment where tier-appropriate..

    Show the method first, then give the final answer in the required form. Apply this directly to Circle definitions and properties.

  • Circle theorems common mistake 1

    Writing a final answer without showing the method that justifies it. This can weaken answers for: [Higher only] Apply and prove standard circle theorems concerning angles, radii, tangents and chords..

    Show the method first, then give the final answer in the required form. Apply this directly to Circle theorems.

  • Circle theorems common mistake 1

    Writing a final answer without showing the method that justifies it. This can weaken answers for: [Higher only] Use circle theorems to prove related geometric results..

    Show the method first, then give the final answer in the required form. Apply this directly to Circle theorems.

  • Coordinate geometry common mistake 1

    Writing a final answer without showing the method that justifies it. This can weaken answers for: [Foundation and Higher] Solve geometrical problems on coordinate axes..

    Show the method first, then give the final answer in the required form. Apply this directly to Coordinate geometry.

  • Properties of three-dimensional shapes common mistake 1

    Writing a final answer without showing the method that justifies it. This can weaken answers for: [Foundation and Higher] Identify properties of faces, surfaces, edges and vertices of cubes, cuboids, prisms, cylinders, pyramids, cones and spheres..

    Show the method first, then give the final answer in the required form. Apply this directly to Properties of three-dimensional shapes.

  • Plans and elevations common mistake 1

    Writing a final answer without showing the method that justifies it. This can weaken answers for: [Foundation and Higher] Interpret plans and elevations of three-dimensional shapes..

    Show the method first, then give the final answer in the required form. Apply this directly to Plans and elevations.

  • Plans and elevations common mistake 1

    Writing a final answer without showing the method that justifies it. This can weaken answers for: [Foundation and Higher] Construct plans and elevations of three-dimensional shapes where tier-appropriate..

    Show the method first, then give the final answer in the required form. Apply this directly to Plans and elevations.

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Properties and constructions common mistakes | AQA Mathematics | ExamCompanion