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In this practical task, students estimate and then measure how far they can jump.

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.

In this practical task, students use a coloured spinner and record the frequency of colours occurring. They then use their findings to record the probability of each event and interpret these.

This practical task requires students to lift a 1 kg weight and then estimate whether a range of everyday objects weigh less than, about the same as, or more than 1 kilogram.

In this practical task, students decide which of four shapes have the same area, then use 100s blocks to check their answer.

Students use a diagram of, and information about a measuring cup (a cone) to calculate and answer questions about volume.

Students use the picture cards provided to explore and list all the possible combinations of race cars at a starting line.

In this practical task, students use pictures of meat and salad fillings to work out all possible combinations of sandwiches. An optional activity is to make actual sandwiches.

Students identify the fraction that best describes the proportion of triangles that are shaded in.

Students read statements based on a bar graph and show understanding by marking whether each statement is correct.

This task requires students to describe and compare line graphs of three different sets of data.

In the context of kicking a goal at rugby, students use Pythagoras' theorem to calculate distance. Students then use trigonometry to work out if the kick passes through the posts.

In this practical task students predict what the widthwise and lengthwise cross-sections of a selection of fruit and vegetables would look like.

Students use a calendar of one month of the year to assist them in making time calculations.

Students identify the different parts of algebraic expressions for the cost of repairing televisions.

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

Students identify significant figures in given numbers, and round numbers to a given number of significant figures.

Students perform calculations using whole numbers and negative numbers.

In this practical task, students interpret information presented in a strip graph, regroup the data, construct a new strip graph, and answer questions about the data.

Each student designs a question and an associated scale to record other students' attitudes to mathematics.

Students construct a calendar to match given criteria and enter three events onto the calendar.

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 describe algebraic expressions in words.

Students draw top and side views of five different 3-dimensional objects.

For this practical task students collect time-series data on the change in water temperature in a container at regular time intervals. Students are also required to display their results on an appropriate graph.