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Students complete a tree diagram to illustrate all the different combinations of height and colour of four candles and evaluate probabilities for some combinations.

Students express proportions as percentages and calculate percentages.

Students identify qualities of structure, voice, body language, and rapport for a speech.

Students observe and draw 4 views of 3-dimensional objects in relation to each other and use these drawings to predict the top view of the same objects.

In this practical task, students make specified 3-dimensional shapes, and then sort them into two groups according to criteria that the student defines.

In this practical task students construct 3-dimensional shapes from modelling clay then cut them in half and draw their cross-sections.

Students cut out tangram shapes and arrange them to fit two different ways into rectangle outlines and once into a triangle outline.

In this practical task, students cut out triangles and rectangles to make three different nets for a triangular prism.

In this practical task students use a grid squares overlay to estimate the area of six shapes by counting the number of squares each shape covers.

Students read analogue clock faces, and carry out time calculations drawing the results onto other clock faces.

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 identify the rule for continuing number patterns then develop their own pattern and write it as a rule.

This practical task requires students to use straws to build up a linear pattern. Students then predict the number of straws needed for successive patterns and explain their rule.

Students interpret a line graph of a practical situation.