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Students use their knowledge of the trigonometric functions sine, cosine, and tangent to calculate the length of sides of sails in a diagram of a yacht.

In this practical task, students construct pyramid patterns using triangles. They then predict how many triangles would be needed for the next size pyramid and explain their rule.

Students write the simplest algebraic expressions for the lengths and area of parts of a composite shape, then solve these expressions using substitution. They then solve an equation that relates an algebraic expression to a given side length.

Students use plastic money to explore and continue a number pattern about going to a disco. They then describe the pattern.

Students solve and write appropriate equations for story problems.

Students draw in the next two shapes in a spatial pattern, complete a table and rules about the pattern, then calculate the number of triangles in the 8th shape.

Students complete rules for number patterns generated using a calculator.

Students design an advertisement to sell a bike.

Students use a picture of a spinner to calculate the probability of the arrow pointing to the black or white portion of a card.

For this practical students make observations on water flow from three holes set at different heights in a container. They also investigate the effect on water flow if the top is on or off the container.

Students complete a table to show the amount of money paid for work, and finish a rule to describe the relationship.

Students identify parts of an algebraic equation and use the equation to calculate dog's weights for a given total.

Students interpret a line graph of a practical situation.

Students use coloured beads to explore and continue a spatial pattern. They then describe the pattern.

Students apply a rule to continue spatial patterns.

Students use a linear equation to solve a mathematical problem involving the length and width of a framed picture.

Students show temperature movements on a number line including negative numbers, and write the movement as an equation.

Students use the ideas from a brainstorm to write six sentences about caring for pets.

Students place photos of a canoe trip in order, then use them to write a narrative with a beginning, middle and end.

Students prepare a 2 to 3 minute speech, to inform, persuade, or entertain. Topics suitable for secondary students are provided. Assessment guides A, B, and C are suitable for this task.

Students explain what an adjective is and identify adjectives in some sentences.

Students list four things that wouldn't work and the problems this would cause if there was a power cut to their home.

Students continue a spatial pattern of hexagons, then describe its rule.

Students prepare and give a speech suitable for presenting a certificate to a junior student. Points to be covered by students and a scoring guide for teachers are included.

This assessment has students match seven common debating terms with meanings and examples.