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Students explain errors in calculations that include all operations, decimal values, and percentages.

Students calculate and evaluate powers of whole numbers.

Students solve given algebraic expressions using substitution.

Students calculate the weight of parts of a fish from given proportions.

Students express a distance as a percentage of the distance of a whole journey, and calculate percentages or fractions of parts of the journey.

Students select which person has correctly applied the laws of indices to some problems, and explain their choice.

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

Students calculate the height of two cylinders given the radius, and identify a correct general statement about the relationship between radius and height for a given volume.

This task requires students to draw, on a grid, an enlargement of a radio station logo. The scale factor and the centre of enlargement are given. Students answer a question about the area of the original compared to the enlarged logo.

From three different sized animal pictures and their enlargements, students are required to identify the scale factor and the length of an unknown side.

Students build a rectangular prism and identify some of the interior right-angled triangles.

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

Students identify different parts of linear formulae which describe costs for buying and transporting clothing.

Students write the simplest algebraic expressions for the lengths and area of parts of a composite shape, then solve these expressions using substitution. They then solve an equation that relates an algebraic expression to a given side length.

Students complete linear equations for three practical word problems.

Students use a picture of a spinner to calculate the probability of the arrow pointing to the black or white portion of a card.

Students interpret a line graph of a practical situation.

Students use rates to solve word problems involving cooking and preserving.

Students continue a spatial pattern of hexagons, then describe its rule.

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

Students increase and decrease quantities by given percentages.

Students complete statements which explore the relationship between scale factor enlargements and length, area, and volume of 2 and 3 dimensional shapes.

Students calculate the size of marked angles using their knowledge of angle properties: the angle between a tangent and a radius, the sum of angles in a triangle and the sum of angles in a quadrilateral.

Students solve number problems involving prices which include and exclude sales tax.

Students choose the best statement from five options to describe the probability of receiving notes and coins in a board game.