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On grids, students enlarge shapes by different scale factors through given centres of enlargement.

Students identify some interior right angled triangles in a 2-dimensional drawing of a cube.

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

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 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 angle properties to identify missing angles identified on a street map.

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 factorise a series of algebraic expressions.

Students convert speeds of vintage cars into kilometres per hour, and calculate distances travelled at these speeds.

Students work out the height of trees which have grown by different percentages, and work out the percentage growth from two given heights.

A spatial pattern involving the area of a shape is represented by a table and a diagram. Students describe the rule in words and as an algebraic expression.

Students complete a table to describe a spatial pattern, and write an equation to express the rule.

Students select the correct algebraic expression describing practical situations.

Students select the correct factorisation of algebraic expressions.

Students study a dot plot of the months students' were born and answer questions interpreting the data.

Students interpret a box-and-whisker graph of maximum daily temperatures over time.

Students solve algebraic problems about people's ages using information given.

Students compare a data table and a line graph and identify features that are missing or incorrect in the graph.

For this task students are required to record, in a table, the compass bearings of objects shown on a submarine radar screen. Distances from the submarine are also recorded.

Students calculate the total area of a deck and a deck with an extension.

Students calculate the weight for different numbers of soccer balls and calculate the weight for a given number of soccer balls.

Students compare different types of quadrilateral shapes and answer questions about which of a pair is a special case of the other one.