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

Students consider three different sampling methods for a survey and decide if each is a fair sample, explaining their answer.

Students recommend which store offers the cheapest product based on calculations of percentage increase or decrease, and fully justify their answers.

Students use rounding to estimate totals then discuss this as a method of estimation.

Students write algebraic expressions which make equations true.

Task: calculate answer to questions about speed, distance, and time. Assessment focus: using a formula.

Students calculate percentage increases and decreases for odd jobs and show their working.

Students are required to re-arrange various algebraic equations.

Students complete 3 x 3 addition arrays by using whole numbers and algebraic expressions.

Students use a flowchart to find solutions and generate rules from them.

Students use cubes to construct part of a spatial pattern and answer questions on how to continue it.

This task requires students to interpret the relationship between noise level and time as illustrated by various points on a graph.

Students interpret a graph about getting to school, writing descriptions about each students journey and making statements comparing the journeys.

Students interpret information from a flowchart to calculate the total costs of different sized groups staying in a motel for varying lengths. They also complete a linear algebraic equation to show the costs of one group's stay.

Students respond to questions about the relationship between diagonals, triangles and polygons; then write a rule to describe the pattern.

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.