Students answer two questions about exercise times for an incrementing fitness programme. They identify an expression relating time exercised to the number of weeks on the programme, and explain why this pattern couldn't continue indefinitely.
Students use coloured beads to make repeating pattern. They then identify the colour of specific beads in the pattern and explain how to work this out.
Students need to interpret data about travel time to school and common after-school activities and identify which statement is true from a list of given statements.
Students are required to use trigonometry to calculate the length of one side of a right-angled triangle in three problems based on a ski lift, a toy sail boat and a penguin on an iceberg.
Students complete a table showing the number of rungs for different sized ladders. They complete a sentence stating the rule to calculate the number of rungs given the length, and use the rule to identify if a ladder, at a lean, will reach a given height and show their working.
Students demonstrate their understanding of standard form numbers by ordering given numbers from smallest to largest and by identifying the larger of two numbers.
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.
Students interpret a histogram showing the number of vehicles travelling at different speeds past a speed camera. Students need to calculate a percentage and the median to complete this task.
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.
Students use substitution into equations to evaluate the number of blocks and total surface areas in shapes of different heights.
The stimulus can be used as a challenging task to try and derive the rules from the spatial pattern. This is classified as Patterns and Relationships.
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.