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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.

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.

Students solve number problems involving ratios of hourly rates of pay.

Students compare the strength of drinks with different rates of drink powder per volume of water.

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

Students calculate the shapes with the largest and smallest perimeter and identify a relationship between the features of a shape and the perimeter.

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 interpret and graph linear equations of monthly charges for Internet access.

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 determine the correct probabilities for a series of coin throws.

Students choose the correct trigonometric ratio which would be used to calculate a missing length in two practical problems.

Students solve addition and subtraction problems involving fractions with different denominators.

Students calculate the surface area and volume of cuboids.

Students write and solve linear equations to describe cooking times.

Students use substitution to calculate a missing variable in algebraic expressions of practical situations.

Students are required to graph a linear relationship, within a range of x-values, as described by an equation in a practical context.

Students use subtraction to solve word problems involving fractions.

Students write ratios in their simplest form.