Geometry and measure

Revise the different types of angles and rules for calculating angles. This guide includes interactive activities and a quiz.

Revise alternate, correspondent or co-interior angles within parallel lines. This guide contains a video and a quiz.

Revise triangles, quadrilaterals and other polygons with a quiz and interactive activities.

Revise reflective and rotational symmetry and the symmetry in different quadrilaterals and polygons. This guide contains interactive activities and a quiz.

Revise how to construct ASA, SAS and SSS triangles using a ruler, protractor and compass. This guide contains videos, a quiz and interactive activities.

Revise how to construct perpendiculars to a line and from a point and bisect an angle. This guide contains animations, interactive activities and a quiz.

Revise how to find a locus from a line or two points and loci with bisectors. This guide includes a quiz and interactive activities.

Revise how to calculate bearings and back bearings and how to calculate them using trigonometry. This guide includes interactive activities and a quiz.

Revise how to find the perimeter of 2D shapes and compound shapes. This guide contains a quiz and interactive activities.

Revise how to calculate the area of 2D shapes and compound shapes. This guide contains videos, a quiz and interactive videos.

Revise how to find the volume of cylinders, cuboids and prisms, with interactive activities and a quiz.

Revise how to calculate the surface area of 3D shapes, nets and cylinders, with video, interactive activities and a quiz.

Revise how to find the volume and surface area of pyramids, cones and spheres. This guide contains a quiz and interactive activities.

Revise plan and elevation views of 3D shapes and how to draw the nets of 3D shapes. This guide includes a quiz and interactive activities.

Revise how to calculate circle circumference, arc lengths and sector perimeters within circles. This guide includes a quiz and interactive activities.

Revise calculating the area of circles, sectors and compound shapes with parts of circles, with a quiz and interactive activities.

Revise angles subtended by arcs or at the circumference by a semi-circle, angles in the same segment, or opposite in a cyclic quadrilateral. With a quiz and interactive activities.

Revise tangent theorems, the alternate segment theorem and the properties of chords. This guide contains a quiz and interactive activities.

Revise reflection on a coordinates grid, in a diagonal line or on a set of axes. This guide contains interactive activities and a quiz.

Revise rotating an object on a grid or a set of axes. This guide includes an animation, interactive activities and a quiz.

Revise rotating shapes on a grid or set of axes, and how to describe a rotation, with interactive activities and a quiz.

Revise scale factors and enlarging with a positive scale factor, as well as finding the centre of enlargement. This guide contains an animation, interactive activities and a quiz.

Revise enlarging with a negative scale factor and centre of enlargement, and describing enlargements using a negative scale factor, with a quiz and interactive activities.

Revise plotting and describing combined transformations with this guide containing interactive activities and a quiz.

Revise congruence conditions, similar shapes and how to calculate missing sides in similar shapes using equations. This guide contains interactive activities and a quiz.

Revise how to calculate area and volume scale factors and ratios of 2D and 3D shapes in this Higher tier guide. This guide contains a video, interactive activities and a quiz.

Revise calculating the hypotenuse and a shorter side in a right-angled triangle, and how to prove a triangle is right-angled. This guide contains interactive activities and a quiz.

Revise calculating the length of line segments and using Pythagoras' theorem in 2D, and 3D for Higher tier. This guides includes interactive activities and a quiz.

Revise finding the length of a side with an unknown numerator or denominator and using trigonometry to calculate an unknown angle, with interactive activities and a quiz.

Revise finding an unknown side or angle using the sine rule, and the ambiguous case when finding unknown angles. This guide for Higher contains interactive activities and a quiz.

Polygons are multi-sided shapes with different properties. Shapes have symmetrical properties and some can tessellate.

Loci are a set of points with the same property. Loci can be used to accurately construct lines and shapes. Bearings are three figure angles measured clockwise from North.

The circumference of a circle is its outside edge, and is the same distance from the centre at every point along its length. This distance is called the radius. Learn how to measure and calculate these, along with the area and diameter of a circle.

Circles have different angle properties described by different circle theorems. Circle theorems are used in geometric proofs and to calculate angles.

Circles have different angle properties described by different circle theorems. Circle theorems are used in geometric proofs and to calculate angles.

Circles have different angle properties described by different circle theorems. Circle theorems are used in geometric proofs and to calculate angles.

Pythagoras’ theorem can be used to calculate the length of any side in a right-angled triangle. Pythagoras’ theorem can be applied to solve 3-dimensional problems.

Pythagoras’ theorem can be used to calculate the length of any side in a right-angled triangle. Pythagoras’ theorem can be applied to solve 3-dimensional problems.

Units of measurement let us describe and compare length, weight, area, volume, density and other values. Units can be imperial or metric and they can be converted using conversion factors.

The three trigonometric ratios; sine, cosine and tangent are used to calculate angles and lengths in right-angled triangles. The sine and cosine rules calculate lengths and angles in any triangle.

A vector quantity has both size and direction. Vectors can be added, subtracted and multiplied by a scalar. Geometrical problems can be solved using vectors.