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

Students identify prime numbers from a series of group sizes and list all the factors of 36.

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 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.

Students identify significant figures in given numbers, and round numbers to a given number of significant figures.

Students perform calculations using whole numbers and negative numbers.

Students conduct a statistical investigation about their prediction of the most common words used in English. They make graphs, describe their shape, and compare their own graph with ones that other students produce.

This practical task requires students to construct open boxes from grid paper and calculate their volumes.

Each student designs a question and an associated scale to record other students' attitudes to mathematics.

From diagrams of four original and enlarged drawings to be used for Christmas wrapping paper, students identify the scale factor used and find a missing length on either the enlarged picture or the original picture.

The start of a spatial pattern of triangles is shown and described in a table. Students generate more of the pattern and describe the relationships algebraically.

Students describe algebraic expressions in words.

Students draw top and side views of five different 3-dimensional objects.

Students perform calculations using standard form.

Students describe a functional rule for two spatial patterns.

Students interpret a histogram showing the number of vehicles travelling at different speeds past a speed camera. Students need to calculate a percentage and the median to complete this task.

Students use substitution into equations to evaluate the number of blocks and total surface areas in shapes of different heights. The stimulus can be used as a challenging task to try and derive the rules from the spatial pattern. This is classified as Patterns and Relationships.

Students write and solve equations for story problems describing practical situations.

Students are required to use trigonometry to calculate the length of one side of a right-angled triangle in three problems based on a ski lift, a toy sail boat and a penguin on an iceberg.

Students study a box-and-whisker graph and answer questions on median, quartile and outliers.

Students use given information to solve a story problem about paper deliveries and identify the correct algebraic equation for the answer. They also write an algebraic equation for a similar story problem.

Students identify towns and cities on a map using compass points.