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Unlock harder levels by getting an average of 80% or higher.

Earn up to 5 stars for each level

The more questions you answer correctly, the more stars you'll unlock!

Each game has 10 questions.

Green box means correct.

Yellow box means incorrect.

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Key Stage 3 - Geometry

Standard KS3.G.1.1 - Find the area of right triangles.

Included Skills:

Geometry and measures

• Pupils should be taught to:

- derive and apply formulae to calculate and solve problems involving: perimeter and area of triangles, parallelograms, trapezia, volume of cuboids (including cubes) and other prisms (including cylinders)

- calculate and solve problems involving: perimeters of 2-D shapes (including circles), areas of circles and composite shapes

- draw and measure line segments and angles in geometric figures, including interpreting scale drawings

- derive and use the standard ruler and compass constructions (perpendicular bisector of a line segment, constructing a perpendicular to a given line from/at a given point, bisecting a given angle); recognise and use the perpendicular distance from a point to a line as the shortest distance to the line

- describe, sketch and draw using conventional terms and notations: points, lines, parallel lines, perpendicular lines, right angles, regular polygons, and other polygons that are reflectively and rotationally symmetric

- use the standard conventions for labelling the sides and angles of triangle ABC, and know and use the criteria for congruence of triangles

- derive and illustrate properties of triangles, quadrilaterals, circles, and other plane figures [for example, equal lengths and angles] using appropriate language and technologies

- identify properties of, and describe the results of, translations, rotations and reflections applied to given figures

- identify and construct congruent triangles, and construct similar shapes by enlargement, with and without coordinate grids

- apply the properties of angles at a point, angles at a point on a straight line, vertically opposite angles

- understand and use the relationship between parallel lines and alternate and corresponding angles

- derive and use the sum of angles in a triangle and use it to deduce the angle sum in any polygon, and to derive properties of regular polygons

- apply angle facts, triangle congruence, similarity and properties of quadrilaterals to derive results about angles and sides, including Pythagoras' Theorem, and use known results to obtain simple proofs

- use Pythagoras' Theorem and trigonometric ratios in similar triangles to solve problems involving right-angled triangles

- use the properties of faces, surfaces, edges and vertices of cubes, cuboids, prisms, cylinders, pyramids, cones and spheres to solve problems in 3-D

- interpret mathematical relationships both algebraically and geometrically.

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