The start of a spatial pattern of triangles is shown and described in a table. Students generate more of the pattern and describe the relationships algebraically.
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 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 calculate an exact square root and estimate approximate square roots by finding the length of the square flower bed of a given area, and give an explanation for their answers.
Students are required to give reasons why the samples used to survey New Zealand school students on their favourite sports, may not be representative of the population.