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.
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.
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.
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 use given information to solve a story problem about paper deliveries and identify the correct algebraic equation for the answer. They also write an algebraic equation for a similar story problem.
Students complete the total and mean columns in a table of sunshine hours. They then construct a bar graph and make a statement comparing some of the data.
Students are required to construct a composite bar graph based on Statistics New Zealand Time Use Survey data and are then required to make comparative statements based on gender.
Students display data on a back-to-back stem-and-leaf graph to show the times taken to complete two walks. The longer of the two walks is then identified.
Students conduct a practical, statistical investigation. They decide on a question, categories, conduct the survey, tally and graph the results on a bar graph.
Students use raw data to construct a table and then a bar graph of the number of runs scored in softball games. Students are also required to make a statement about the results.
Students construct a back-to-back stem-and-leaf graph for heights of trees. They then answer a question on range and make a statement comparing the heights of akeake and kōhūhū.
Students demonstrate their understanding of standard form numbers by ordering given numbers from smallest to largest and by identifying the larger of two numbers.