GCSE Maths Practice: angles
Understanding angles in full rotations is useful.
Think in fractions of 360°. 3/4 of 360° is 270°.
A full turn measures 360°. Therefore, three-quarters of a full turn is 270°. This concept is important in geometry, navigation, and movement-based problems. For example, when rotating objects or analyzing turning angles, recognizing that a 270° turn represents three-quarters of a rotation allows students to visualize direction changes. Angles greater than 180° are called reflex angles. Understanding reflex angles and three-quarter turns helps with problem-solving involving circular motion, clock angles, and compass bearings. Students should practice visualizing rotations and measuring angles using a protractor. Knowing 90°, 180°, 270°, and 360° is a foundation for working with angles around a point, in polygons, and in real-life contexts such as engineering, design, and navigation.