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Students compare a data table and a line graph and identify features that are missing or incorrect in the graph.

Students are required to explain the misleading aspects of two graphs found in newspaper articles.

Students are required to critique a survey and design another useful question to be included.

Students interpret a scatterplot and identify statements about both details and overall information.

Students pose a question for an investigation about favourite sports. They then construct a table that could record the results.

Using a diagram of a spinner, students choose the chances of the arrow landing on particular numbers.

Students interpret a tally chart to answer questions about the proportion and probability of outcomes from a coin toss.

Students show understanding of probability by selecting a fraction to represent the colours of choosing an article of clothing from a drawer.

Students determine the probability of a hot air balloon landing in various locations marked on a grid map.

Students use fractions to describe the probability of an arrow landing on different bands of a target.

Students construct and label a pie graph of favourite drinks from data in a table. They also interpret results involving proportions.

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

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

Students predict whether two dice games are fair and give their reasons. They then play each game (investigate) fifty times and explain their results.

Students predict the outcome of throwing five dice and confirm their predictions by conducting an experiment and calculating probabilities. After discussing how to get better estimates, they pool their results with others to get a more accurate estimate of how good their predictions were.

Students throw two dice, add the numbers together, construct a tally chart of results, and compare theoretical with observed outcome.

Students count the number of pairs thrown in a series of throws of three dice to evaluate the long-run relative frequency of getting a pair.

Students predict the outcome of 100 coin tosses, then carry out a test of their prediction, recording their results.

Students use survey data about sports results to estimate the probability of the next person's answer.

Students show the number of people in a survey as a fraction and indicate their understanding of sampling.

Students explain who is most likely to win a game based on spinners, and how the game could be made fair.

Students decide which statement about a dot plot is incorrect and explain their reasoning.

Students answer questions about a bar graph showing favourite ice-cream flavours. No calculation needed.

Students read information and make statements about the information from two bar graphs.

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