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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 facts at points, on lines and in parallel lines, and find the angles of polygons?

Use angle facts at a point, on a straight line and in parallel lines (alternate, corresponding and co-interior); and calculate the interior and exterior angles of polygons.
A focused answer to the Eduqas GCSE Mathematics geometry content on angles and polygons, covering angle facts at a point and on a line, parallel line angles, and the interior and exterior angles of polygons.
11 min answer →

How do you find the area and perimeter of 2D shapes and the surface area and volume of 3D solids?

Calculate the area and perimeter of rectangles, triangles, parallelograms, trapezia, circles and sectors; and the surface area and volume of prisms, cylinders, pyramids, cones and spheres.
A focused answer to the Eduqas GCSE Mathematics geometry content on area and volume, covering the area and perimeter of 2D shapes including circles and sectors, and the surface area and volume of prisms, cylinders, pyramids, cones and spheres.
12 min answer →

What are the circle theorems and how do you use them to find angles and write proofs?

Know and use the circle theorems (angle at the centre, angle in a semicircle, angles in the same segment, cyclic quadrilateral, tangent properties and alternate segment) to find angles and construct reasoned proofs (Higher tier).
A focused answer to the Eduqas GCSE Mathematics geometry content on circle theorems, covering the angle at the centre, angle in a semicircle, angles in the same segment, cyclic quadrilaterals, tangent properties and the alternate segment theorem, with reasoned proofs.
12 min answer →

How do you carry out standard ruler-and-compass constructions and find loci of points satisfying a condition?

Carry out standard constructions (perpendicular bisector, angle bisector, perpendicular from a point) with ruler and compasses, and find loci of points satisfying a given condition, including in combination.
A focused answer to the Eduqas GCSE Mathematics geometry content on constructions and loci, covering the perpendicular bisector, angle bisector and perpendicular from a point, plus the standard loci and combining conditions to find a region.
11 min answer →

How do you use Pythagoras and the trigonometric ratios in right-angled triangles, and the sine and cosine rules in any triangle?

Use Pythagoras' theorem and the trigonometric ratios in right-angled triangles; and apply the sine rule, cosine rule and the area formula in any triangle (Higher tier).
A focused answer to the Eduqas GCSE Mathematics geometry content on Pythagoras and trigonometry, covering Pythagoras' theorem, the sine cosine and tangent ratios in right-angled triangles, and the sine rule, cosine rule and triangle area formula at Higher tier.
12 min answer →

How do you describe and perform translations, rotations, reflections and enlargements?

Describe and perform the four transformations (translation, rotation, reflection and enlargement, including negative and fractional scale factors at Higher tier) and combine them.
A focused answer to the Eduqas GCSE Mathematics geometry content on transformations, covering translation by a vector, rotation, reflection and enlargement including negative and fractional scale factors at Higher tier, and combining transformations.
11 min answer →

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

Use vector notation; add, subtract and multiply vectors by a scalar; and use vectors to construct geometric arguments and proofs (proof at Higher tier).
A focused answer to the Eduqas GCSE Mathematics geometry content on vectors, covering vector notation, adding subtracting and scaling vectors with column vectors, and using vectors to construct geometric arguments and proofs at Higher tier.
11 min answer →