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Students find the next three shapes in several growing shape patterns and explain how they worked out the shapes.

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.

Students calculate an average and a percentage from raw data and comment on these findings.

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

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

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

Students select from a range of given numbers to complete a 4 x 4 'addition number square' with given row and column totals.

Students write algebraic expressions which make equations true.

Students complete 3 multiplication arrays by selecting from given numbers.

Students complete number sequences, and identify different rules for sequences that begin with the same numbers.

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