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Students solve number problems involving prices which include and exclude GST.

Students write standard form numbers in ordinary form.

Students calculate the number of packets of biscuits that need to be sold, and how many house visits are needed to attain a given profit.

Students give the fraction or ratio of brown to white eggs in some cartons.

Students calculate the cost per kilogram of three confectionery hampers.

Students identify what happens to indices when simplifying algebraic expressions.

Students work out how many cups of juice can be made or how many runs can be scored from given rates.

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

Students explain errors in calculations that include all operations, decimal values, and percentages.

Students calculate and evaluate powers of whole numbers.

Students solve given algebraic expressions using substitution.

Students calculate the weight of parts of a fish from given proportions.

Students express a distance as a percentage of the distance of a whole journey, and calculate percentages or fractions of parts of the journey.

Students select which person has correctly applied the laws of indices to some problems, and explain their choice.

Students identify different parts of linear formulae which describe costs for buying and transporting clothing.

Students write the simplest algebraic expressions for the lengths and area of parts of a composite shape, then solve these expressions using substitution. They then solve an equation that relates an algebraic expression to a given side length.

Students complete linear equations for three practical word problems.

Students interpret a line graph of a practical situation.