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Students calculate the scale factor and length of one side of a building extension, then draw in a different extension from a given scale factor.

Using Pythagoras' theorem and trigonometry ratios, students calculate distances between people standing in a paddock.

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

Students use trigonometry to find missing distances in three everyday problems.

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.

Using given trigonometry ratios, students calculate distances in practical problems.

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 use trigonometry to calculate distances in practical problems.

Students calculate the distance travelled by the tips of the hands on a clock, and calculate the speed of one of the tips.

Students are required to identify right angles in a series of diagrams, using their knowledge of angle properties relating to circles and tangents.

Students use vectors and select correct vector diagrams for practical problems.

This task is about using rates in ml/minute to work out how much water has dripped from four taps.

Students answer questions about mixing quantities of powder and water to make a spray for rose bushes.

Students order litre and millilitre capacities from smallest to largest, compare given capacities and explain how they know whether one is larger/smaller or the same.

Students use a plan of a garage with a scale to calculate the actual length and width of the garage and a workbench inside it.

Students calculate the area of a space to be painted and the length of time it will take to paint a different area.

Students convert between millilitres, litres, pints and gallons, and kilometres and miles.

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.

Students work out the area of a circle and a fraction (Sector) of a circle.

Students use a cross-section diagram of a canal to calculate area and volume.

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

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.

Students calculate the lengths of circles and straight lines on an oval athletics track from its given radius and total length, and show their working.

Students calculate increases in length, area, and volume, and relate this to the scale factor for an enlargement.