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Students choose the correct trigonometric ratio which would be used to calculate a missing length in two practical problems.

Students find the width and perimeter of three rectangles with the same area and different lengths.

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 conduct a statistical investigation into the sentence length of different types of books by making and comparing dot plots.

Students read a short piece of text and construct a tally chart for the number of letters in each word. With these results they draw and label a pie graph.

A spatial pattern involving the area of a shape is represented by a table and a diagram. Students describe the rule in words and as an algebraic expression.

Students use their knowledge of the trigonometric functions sine, cosine, and tangent to calculate the length of sides of sails in a diagram of a yacht.

Students work out area, length and angles of a shape after enlargement.

Students enlarge shapes by specified increases in each dimension.

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

Students identify which square, from a selection of five, is the original square resized by a given scale factor.

This task requires students to indicate the invariant properties of four transformations (translation, reflection, rotation, enlargement).

Students find out the length of the sides of triangles using Pythagoras' theorem, and show their working.

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.

This whole investigation requires students to find out how spring stretch is affected by different masses pulling on it. There is also a section for planning a similar investigation and a processing section using some provided data.

Students use provided data on the time of day and the length of the shadow to construct a line graph. Students interpret their graph to answer three questions.

This task requires students to indicate, in a table, the invariant properties of four transformations (translation, reflection, rotation, enlargement) of a picture of a traffic light.

Students use a given number of multi-link cubes to make and draw different rectangles.

In this practical task students use straws to construct skeleton models of 3-dimensional shapes from given drawings.

Students solve number problems involving ratios of hourly rates of pay.

In this practical task students use straws to construct skeleton models of 3-dimensional shapes from given drawings.

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

Students interpret information about unnamed planets and their length of year to answer questions about their distance from the Sun and the order of these planets from the Sun.

Students identify the error in three statements made about the perimeter and area of given objects.

Students firstly find the mean and median length of pencils. Secondly students find the median, and lower and upper quartile for the number of cars that passed through the school gate.