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Students solve algebraic problems about the cost of oranges and lemons and how many of each fruit is purchased for a given cost.

Students decide if a percentage statement is correct and explain their answer.

Students express proportions as percentages and calculate percentages.

Students calculate percentages of whole numbers and convert fractions to percentages.

Students convert decimal millions to whole numbers and whole numbers to decimal millions.

Students write down an explanation of how the front-end estimation strategy works in addition problems to give information on their understanding of the strategy.

Students write decimal fractions as percentages.

Students use a number line to show how to solve whole number addition and subtraction problems.

Students compare two fractions, find the larger fraction and show or explain their reasoning.

Students use linear equations to help them solve word problems about the cost of computer repairs.

Students use matchsticks to continue a triangular spatial pattern and write a rule to describe the number needed for each pattern. They then complete a table and a rule to show the relationship between the number of triangles and the number of matchsticks.

Students solve a number of mathematical problems involving money and distance, and compare the results to identify the cheapest taxi company.

Students draw the next two triangles in a spatial pattern, calculate the areas of a range of triangles, work out the height of a triangle given its area, and write a rule for the pattern.

Students solve a number of mathematical problems about the cost of a visit to the fair using algebraic expressions provided.

In this practical task students use play money to show fractions of dollar amounts.

The start of a spatial pattern of triangles is shown and described in a table. Students generate more of the pattern and describe the relationships algebraically.

Students complete a table showing the number of counters used to make a series of L-shapes. They identify the number of counters needed for different situations, and describe the relationship as a rule.

Students complete a table showing a family of sons increasing by a power, and calculate the next power showing their working.

Students solve mathematical problems involving weight. They also identify parts of the related linear equations.

Students show how they would carry out estimation of multiplication tasks.

Students interpret graphs showing the different ways that four people run a race.

Students estimate an addition problem, share their methods, discuss grouping nice numbers, and then do a problem using this method, then design a question showing how it uses the method.

Students interpret time frames and slope from a graph showing the area of a painted wall over time.

Students find the sum of a number of given decimal weights of objects or the post.

Students calculate the repair charges for two different washing machine repair companies, and compare and explain their results.