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

Students explain why a range of students' answers to a maths problem are incorrect.

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

Students solve mathematical problems involving distance, and identify parts of an algebraic expression.

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

Student solve addition problems where the missing value is located in different positions. This may mean that students transform the problem into a subtraction one. Students reflect on the easiest and hardest problems, and explain their choice.

Students select the correct statement that matches a given graph.

Students discuss making an interval estimate in multiplication problems (i.e., getting a lower and an upper limit for the actual answer using the front-end and rounding-up estimation methods). They then use this method on two problems.

Students explain how they can work out how many striped or shaded beads are needed for a number of repeated 'sets', and identify the number of striped and shaded beads for given numbers of sets.

Students identify the larger of two improper fractions and drag a number of improper and mixed fractions into ascending order.

Students find missing numbers to complete addition, subtraction and multiplication number patterns.

Students use the additive identity and the commutative property to assist them to solve simple equations without calculating.

Students complete addition and subtraction equations that explore part-whole relationships.

Students order a range of fractions on a number line.

Students show or explain how to share cakes and pizzas equally amongst a number of people.

Students show fractions on a number line and on the side of a milk bottle.

Students cut out and attach fractions onto a number line in order from smallest to largest.

Students share out sets of counters into equal-sized groups.

Students explore the concept of equality by deciding whether addition sentences are true, false or not proper number sentences.

Students answer maths problems involving multiplication and show their strategies.

Students measure images of objects on a centimetre ruler.

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

Students complete a diagram to show basic fractions of a journey to school in order from smallest to largest.

Students interpret and answer questions from a bus timetable including some time calculations.

Students use percentages to calculate heights of a building from the total height. They then explain how to calculate another percentage.