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Students complete a table showing the number of rungs for different sized ladders. They complete a sentence stating the rule to calculate the number of rungs given the length, and use the rule to identify if a ladder, at a lean, will reach a given height and show their working.

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

Students carry out calculations involving addition, and multiplication of whole numbers by decimal numbers.

Different selections are made from a canteen menu that will cost a given amount. An extension activity is given that asks for all possible combinations to be found.

Students find the biggest and smallest numbers from a list of positive and negative numbers. They add, subtract and multiply using these numbers.

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

Students draw in the correct number of blocks needed to balance some scales and write equations for scales that show balance.

Students work out the missing dimension on a rectangle and show how they obtained it using proportional reasoning.

Students find the sum of a number of given decimal weights of objects or the post.

Students identify fractions that are greater than a half and explain their reasoning. They also identify how far from half some fractions are and name a fraction closer to half than one given.

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

Task: Decide the advantages for survival of both introduced and native frogs' life cycles, explain how climate change could impact on native frogs, and identify level of interest in survival of native frogs. Assessment focus: using information about adaptations.

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

Task: Use a key to identify six different metals from the descriptions provided. Assessment focus: using a key to identify metals.

Task: Design a station on Mars. Assessment focus: problem solving to meet human needs in a different environment.

For this NEMP task students calculate ratios, fractions, and percentages of numbers to solve problems involving numbers of blue and yellow bears. A sheet of coloured bears is provided.

Students use linear equations to help them solve word problems about the cost of computer repairs.

Students add the numbers shown on three dice.

Students use the picture cards provided to explore and list all the possible combinations of race cars at a starting line.

Students are asked to work out the perimeter of different polygon shapes.

In this practical task students use play money to show fractions of dollar amounts involving decimals.

Students identify shapes after they have been rotated in 3 dimensions.

Students sort different shapes into tessellating and not tessellating categories and explain their reasoning.

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

Students compare fractions, identify which is larger, and explain or show their reasoning.