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Students enlarge a shape made of cubes and explore the relationship between the scale factor and volume.

Students calculate volumes of composite shapes, showing their working.

Students read from, and mark points on, non-linear scales.

Students answer questions using percentages to find missing amounts, and writing percentages using given amounts.

Students calculate the lengths of circles and straight lines on an oval athletics track from its given radius and total length, and show their working.

Students calculate increases in length, area, and volume, and relate this to the scale factor for an enlargement.

Students order small numbers written in standard form, and explain why they are ordered in that way. The numbers are the lengths of some microscopic animals.

Students add fractions with different denominators.

Students perform decimal multiplication and division involving the cost of material, without the use of a calculator.

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

Students calculate the repair charges for two different washing machine repair companies, and compare and explain their results.

Students calculate the cost of hiring a search and rescue helicopter and compare this cost with another helicopter company's charges.

Students interpret graphs showing the different ways that four people run a race.

Students show how to solve a series of algebraic expressions by substituting given numbers.

Students complete a table then describe and write a rule to work out the number of matchsticks needed to make alien shape patterns.

Students interpret distance-time graphs that show a car's movement and draw their own graph from given statements.

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

Pairs of students play a game with four dice, calculate the probability of winning the game, comment on how to get a more accurate estimate of the probability, and explain whether the game is fair based on their results.

Students throw three coins, and answer questions on frequency, probability, and compare theoretical with observed outcomes.

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 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 calculate the surface area of the sides and top of a cylinder, showing their working.

Students answer questions about fractions of different wholes (units).