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EnglandMaths

Geometry and measures

7 dot points across 7 inquiry questions. Click any dot point for a focused answer with worked past exam questions where available.

How do you use angle rules for lines, triangles and polygons?

Angles on a line and around a point, angles in parallel lines, angles in triangles and quadrilaterals, and interior and exterior angles of polygons.
A focused answer to the AQA GCSE Mathematics geometry content on angles and polygons, covering angles on a line and around a point, angles in parallel lines, angles in triangles and quadrilaterals, and interior and exterior angles of polygons.
9 min answer →

How do you find the area of 2D shapes and the volume and surface area of solids?

Areas of rectangles, triangles, parallelograms and trapezia, and the volume and surface area of prisms, cylinders, cones, spheres and pyramids.
A focused answer to the AQA GCSE Mathematics geometry content on area and volume, covering areas of rectangles, triangles, parallelograms and trapezia, and the volume and surface area of prisms, cylinders, cones, spheres and pyramids.
10 min answer →

How do you find circumference, area, arc length and sector area, and use circle theorems?

Circumference and area of a circle, arc length and sector area, and the circle theorems at Higher tier.
A focused answer to the AQA GCSE Mathematics geometry content on circles and arcs, covering circumference and area, arc length and sector area, and the circle theorems at Higher tier.
9 min answer →

How do you carry out standard constructions and find loci with a ruler and compasses?

Constructing perpendicular and angle bisectors, perpendiculars from a point, and finding loci of points satisfying a given condition.
A focused answer to the AQA GCSE Mathematics geometry content on constructions and loci, covering perpendicular and angle bisectors, perpendiculars from a point, and finding loci of points satisfying a given condition.
8 min answer →

How do you use Pythagoras theorem and trigonometry to find sides and angles?

Using Pythagoras theorem, the sine, cosine and tangent ratios in right-angled triangles, and the sine and cosine rules at Higher tier.
A focused answer to the AQA GCSE Mathematics geometry content on Pythagoras and trigonometry, covering Pythagoras theorem, the sine, cosine and tangent ratios in right-angled triangles, and the sine and cosine rules at Higher tier.
10 min answer →

How do you describe and carry out reflections, rotations, translations and enlargements?

Carrying out and describing reflections, rotations, translations and enlargements, including negative and fractional scale factors at Higher tier.
A focused answer to the AQA GCSE Mathematics geometry content on transformations, covering reflections, rotations, translations and enlargements, including negative and fractional scale factors at Higher tier.
9 min answer →

How do you add, subtract and scale vectors and use them in geometry proofs?

Writing and drawing column vectors, adding, subtracting and multiplying vectors by a scalar, and using vectors in geometric proofs at Higher tier.
A focused answer to the AQA GCSE Mathematics geometry content on vectors, covering column vectors, adding, subtracting and scaling vectors, and using vectors in geometric proofs at Higher tier.
9 min answer →