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Students use their knowledge of angle properties to identify missing angles identified on a street map.

Using Pythagoras' theorem and trigonometry ratios, students calculate distances between people standing in a paddock.

Students use Pythagoras' theorem to find the unknown sides of right-angled triangles in three practical problems.

Students use Pythagoras' theorem to decide whether triangles are right-angled based on the lengths of their sides.

Students use trigonometry to calculate distances in practical problems.

Students identify which of 5 triangles fits a given description.

Students draw diagrams to demonstrate their understanding of three angle properties: angles at a point, adjacent angles on a straight line and vertically opposite angles.

Using given trigonometry ratios, students calculate distances in practical problems.

Students complete statements which explore the relationship between scale factor enlargements and length, area, and volume of 2 and 3 dimensional shapes.

Students calculate the scale factor and length of one side of a building extension, then draw in a different extension from a given scale factor.

Students calculate the area of a composite shape.

Students calculate the size of marked angles using their knowledge of angle properties: the angle between a tangent and a radius, the sum of angles in a triangle and the sum of angles in a quadrilateral.

Students calculate the lengths of circles and straight lines on an oval athletics track from its given radius and total length, and show their working.

Students calculate increases in length, area, and volume, and relate this to the scale factor for an enlargement.

Students calculate the surface area of the sides and top of a cylinder, showing their working.

Students calculate the total volume of a cream carton, and the unused capacity when filled to 300ml.

Students use a diagram of, and information about a measuring cup (a cone) to calculate and answer questions about volume.

Students answer questions about a ball travelling a number of full circles in a game of swing ball.

Students calculate the volume of blocks in a cylinder, the cylinder and the space around the blocks.

Students use known diameters of tins to work out the floor area of a carton and a given number of tins.

Students calculate the area of a block of land and calculate a width given the area. The questions also involve working with hectares.

Students use diagrams of two boxes with given dimensions to calculate the volume of both boxes and the number of smaller boxes that could fit into one of the boxes.

Students calculate the areas of four composite shapes.

Students use a scale map to estimate the area of Antarctica and explain their method.

Students enlarge a shape on a grid and explore the relationship between scale factor and area.