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Students use the commutative property to find missing numbers in equations and explain the property.

Students find the unknown for a range of equations that require number property knowledge and understanding of relational thinking.

Students use substitution to calculate the cost and length of time taken to repair washing machines, and formulate and solve a related linear equation.

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

Students calculate the charges for lawn mowing expressed as rate plus set-up cost.

Students compare the overall distribution of two graphs and describe their reasons.

Students interpret a bar chart that shows the stopping distance of cars and are asked which car is safe and why.

Students compare the area of two different triangles.

Students identify the most likely combination of throws for a fair coin, and explain their reasons.

Students identify multiples of 5 and of 3, and explain their reasoning.

Students are required to describe the compass direction and distance that an ant travels toward different items of food positioned on a grid.

Students identify turns as left or right to describe a path taken on a simple street map.

Students describe a path (locus) drawn on a simple map of the zoo using the directions "left" or "right".

Students respond to and give directions about a simple path on a map involving right or left turns.

This task requires students to write a set of instructions based on compass directions that would guide a lost tramper to a Rescue Hut on a map with marked paths and landmarks.

Students display their knowledge of algorithms by filling in missing digits for some computations.

Students to show how to calculate problems that involve rates and ratios.

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

Students are required to explain the misleading aspects of two graphs found in newspaper articles.

Students are required to critique a survey and design another useful question to be included.

Students interpret a scatterplot and identify statements about both details and overall information.

Students pose a question for an investigation about favourite sports. They then construct a table that could record the results.

Using a diagram of a spinner, students choose the chances of the arrow landing on particular numbers.

Students interpret a tally chart to answer questions about the proportion and probability of outcomes from a coin toss.

Students show understanding of probability by selecting a fraction to represent the colours of choosing an article of clothing from a drawer.