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Students need to apply their knowledge of Pythagoras' theorem to prove that a triangle of given measurements is right-angled.

Students are required to identify right angles in a series of diagrams, using their knowledge of angle properties relating to circles and tangents.

Students use isometric paper to complete drawings of 3-dimensional shapes.

Students use vectors to describe the movements made by a boy doing an orienteering course.

Students identify directions on a grid map as vector co-ordinates.

Students use isometric paper to draw an isometric view of a 3-dimensional cubes model.

Students use given times to calculate how long it takes to travel between two towns on a network map, including finding the quickest route.

Students use the angle properties of parallel lines to work out angles in a grid of parallel streets with one angle given.

Students identify the viewpoint from which an isometric drawing of a plan of blocks has been drawn and then make their own isometric drawing from a different viewpoint.

Students use trigonometry to find missing distances in three everyday problems.

Students identify the types of angles made by known landmarks.

Students identify the time on a clock face when given the angle that the hands make and the position of the minute hand.

Students use the angle between a tangent and a radius property and the base angles in an isosceles triangle property to find an unknown angle and to explain why line segments are of equal size.

Students use the angle-in-a-semicircle property, and the sum of the angles in a triangle to find unknown angles.

Students use their knowledge of the sum of the interior angles of polygons to work out unknown angles for a variety of 2-dimensional shapes.

Students draw 3-dimensional block shapes onto isometric paper from 2-dimensional plans.

Students use vectors and select correct vector diagrams for practical problems.

Students use their knowledge of the interior angles of regular polygons, isosceles triangles, and parallelograms to work out unknown angles for a variety of 2-dimensional shapes.

Students use their knowledge of the angle between a tangent and radius property and the sum of the angles in a quadrilateral to work out unknown angles in a diagram and explain their workings.

Students identify the angle of different objects and movements.

Students identify similar shapes of all sizes from a given drawing.

Students identify the angle of different objects and movements.

Students identify towns and cities on a map using compass points.

Students enlarge a shape made of cubes and explore the relationship between the scale factor and volume.

Students identify the correct resultant vector of two component vectors, and also identify the correct diagram of a vector that is written in column form.