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In this practical task, students use their understanding of the link between capacity and volume to make cardboard containers that hold 250ml and 500ml of water.

Students complete a bar graph from details about paua diving and answer questions interpreting the data, including finding an average.

Students interpret a back-to-back bar graph about apples picked by comparing and identifying patterns.

Students construct a back-to-back stem-and-leaf graph for heights of trees. They then answer a question on range and make a statement comparing the heights of akeake and kōhūhū.

Students study a box-and-whisker graph and answer questions on median, quartile and outliers.

Students consider three different sampling methods for a survey and decide if each is a fair sample, explaining their answer.

Students write a report on a table of data and make recommendations from their report.

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 write number sentences for story problems, and create story problems from number sentences.

Students match pictures of objects with a list of capacities involving litres and millilitres.

Students identify the approximate capacities of everyday containers.

Students estimate the sum of a number of fractions.

Students show how to calculate maths problems involving fractions as a part and as a whole.

Student solve multiplication and division problems that involve money.

Students solve and write simple linear equations about the number of balls in a cylinder.

Students give grid references, and drag and drop grid references onto a grid.

Students explore the additive identity by completing open number sentences.

Students explore the additive identity by deciding whether addition and subtraction number sentences are true or false.

Students discuss making an interval estimate in multiplication problems (i.e., getting a lower and an upper limit for the actual answer using the front-end and rounding-up estimation methods). They then use this method on two problems.

Students calculate volumes of composite shapes, showing their working.

Students read from, and mark points on, non-linear scales.

Students identify which nets, from a range of options, could fold to make rectangular prisms.

Students identify which nets can be folded to make an open box shape.

Students identify which nets can be folded to make an open box shape.

Students calculate the cost of hiring a search and rescue helicopter and compare this cost with another helicopter company's charges.