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Students evaluate and simplify algebraic expressions for the side lengths and perimeter of a composite shape. They then find x for a given perimeter.

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

Students use coloured beads to make repeating pattern. They then identify the colour of specific beads in the pattern and explain how to work this out.

Students calculate the lengths and areas of a road sign.

Students perform addition, multiplication, and percentage calculations based on information about the cost of buying and posting computer programs.

Students cut out pictures and use them to show all the different possible combinations of two sets of objects.

Students show, interpret, and do calculations on times in both analogue and digital forms.

Students construct a line graph to show the relationship between Zoe's heartbeats at different times of the day.

In this practical task, students estimate and then measure how far they can jump.

Students use matchsticks to continue a triangular spatial pattern and write a rule to describe the number needed for each pattern. They then complete a table and a rule to show the relationship between the number of triangles and the number of matchsticks.

In this practical task, students use a coloured spinner and record the frequency of colours occurring. They then use their findings to record the probability of each event and interpret these.

This practical task requires students to lift a 1 kg weight and then estimate whether a range of everyday objects weigh less than, about the same as, or more than 1 kilogram.

In this practical task, students decide which of four shapes have the same area, then use 100s blocks to check their answer.

Students use a diagram of, and information about a measuring cup (a cone) to calculate and answer questions about volume.

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

In this practical task, students use pictures of meat and salad fillings to work out all possible combinations of sandwiches. An optional activity is to make actual sandwiches.

Students identify the fraction that best describes the proportion of triangles that are shaded in.

Students read statements based on a bar graph and show understanding by marking whether each statement is correct.

This task requires students to describe and compare line graphs of three different sets of data.

In the context of kicking a goal at rugby, students use Pythagoras' theorem to calculate distance. Students then use trigonometry to work out if the kick passes through the posts.

In this practical task students predict what the widthwise and lengthwise cross-sections of a selection of fruit and vegetables would look like.

Students calculate an exact square root and estimate approximate square roots by finding the length of the square flower bed of a given area, and give an explanation for their answers.

Students use a calendar of one month of the year to assist them in making time calculations.

Students identify the different parts of algebraic expressions for the cost of repairing televisions.

Students solve a number of mathematical problems about the cost of a visit to the fair using algebraic expressions provided.