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Students complete a table showing a family of sons increasing by a power, and calculate the next power showing their working.

Students solve algebraic problems about the cost of oranges and lemons and how many of each fruit is purchased for a given cost.

Students calculate the repair charges of two different garages, graph them, and explain the results.

Students compare the overall distribution of two graphs and describe their reasons.

Students conduct a practical, statistical investigation. They decide on a Topic and question, conduct the survey, complete the tally chart, construct a bar graph of the major ideas and make statements about the results.

Students identify and give rules for when numbers are divisible by three or by nine.

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 identify the order of rotational symmetry for a number of shapes.

Students compare the overall distribution of two dot plots and describe their reasons.

Students conduct a statistical investigation about their prediction of the most common words used in English. They make graphs, describe their shape, and compare their own graph with ones that other students produce.

Students identify true and false statements, and provide a description of the most important features of a time series graph.

Students interpret a back-to-back bar graph comparing and identifying a pattern in the data.

Students identify fractions that are greater than one, explain their reasoning and identify how far from one some fractions are.

Students recognise equal and different likelihoods when playing a game of chance and explain their reasoning.

Students state what things will affect how far a cube will travel when flicked in the middle with a ball-point pen, and conduct an experiment to see what happens in practice.

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 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 interpret a back stem-and-leaf graph to answer questions about a measurement investigation.

Students identify multiples of 4 and of 6, and explain their reasoning.

Students predict how a cube will travel when flicked in different positions, and conduct an experiment to see what happens in practice.

Students conduct a statistical investigation into the sentence length of different types of books by making and comparing dot plots.

Students identify a correct statement about the comparing the overall distribution of two dot plots.

Students identify fractions that are greater than a half, explain their reasoning, and identify how far from half some fractions are.

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.

Using three dice, students investigate and list the different possible combinations of odd numbers showing on the top face of each dice.