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Students work out the area of a circle and a fraction (Sector) of a circle.

Students use a cross-section diagram of a canal to calculate area and volume.

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

Students calculate the probability of choosing certain Scrabble letters.

Students complete a table to show all the combinations, and work out the probability, of numbers possible on the top faces of two dice. They then use the table to list combinations that total 8 and 11.

Students are given a diagram and information on the ratios of black- to grey-coated possums. Students answer questions relating to this information as well as identifying a method that could be used to determine the percentage of each coat colour.

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

Task: Use understandings about heat energy and insulation to describe how adaptations help Emperor penguins survive in Antarctica. Assessment focus: adaptations for keeping warm in cold conditions.

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.

This practical task consists of two parts. Students test various substances with hydrochloric acid, iodine solution, and universal indicator, and then complete a table with their observations. The second part requires students to identify four unknown solids using their tests and results from part one.

Students calculate the lengths of circles and straight lines on an oval athletics track from its given radius and total length, and show their working.

Students calculate increases in length, area, and volume, and relate this to the scale factor for an enlargement.

Students draw lines to divide up shapes into fractional parts.

Students show how they solve equal sharing problems.

Students break given numbers into equal sized groups. Students must show their working.

Students identify fractions that are greater than a half and explain their reasoning. They also identify how far from half some fractions are and name a fraction closer to half than one given.

Task: Answer two questions about melting and two questions about dissolving. Assessment focus: describe and explain melting and dissolving.