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Students select which person has correctly applied the laws of indices to some problems, and explain their choice.

Students complete a table showing a family of sons increasing by a power, and calculate the next power showing their working.

Students solve problems involving rates of pay based on a formula using powers, and compare this to a fixed rate of pay.

Students use addition and subtraction to calculate the changing balance in a students back account.

Students interpret a back-to-back bar graph comparing and identifying a pattern in the data.

Students complete a bar graph from details about paua diving and answer questions interpreting the data, including finding an average.

Students complete the total and mean columns in a table of sunshine hours. They then construct a bar graph and make a statement comparing some of the data.

Students complete addition and multiplication linear equations by selecting from a range of numbers.

Students read the description of a number of surveys and explain why the sample is biased.

Students demonstrate their understanding of standard form numbers by ordering given numbers from smallest to largest and by identifying the larger of two numbers.

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

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

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

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

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.

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

In this practical task students design a net for a lidded cardboard cube to hold a tennis ball. They then cut out and construct the cube.

In this practical task students design a net for a lidded cardboard box to hold 3 "chocolate bars" represented by hundreds blocks. They then cut out and construct the box.

Students need to interpret data about travel time to school and common after-school activities and identify which statement is true from a list of given statements.

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

Students predict nets that fold to make a cube, then cut out and fold the nets to check their prediction.

Students fold pieces of paper shaped as a rectangle, square, and circle to show fractions.

Students use a number line to show how to solve whole number subtraction problems.

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

In this practical task students order proper fractions on a number line between 0 and 1.