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Students explain the variables in a linear equation involving speed and distance. They then solve the equation by substitution.

Students write equations for story problems describing practical situations.

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

Students calculate the percentage by which clothing prices have been reduced.

Students calculate the surface area and volume of a pyramid.

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 expand and simplify algebraic expressions based on measurements of a path around a lawn.

Students use rules to work out the number of shapes or matches in spatial patterns, and complete an algebraic rule from a word rule.

Students complete a table and a graph of an equation about the costs of bike repairs, then interpret the graph to respond to questions.

Students complete a tree diagram to illustrate all the different combinations of height and colour of four candles and evaluate probabilities for some combinations.

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 draw in the next two shapes in a spatial pattern, complete a table and rules about the pattern, then calculate the number of triangles in the 8th shape.

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 graph of the Hare's Progress to answer questions about rate, rest, and reading sections of the graph. They also identify the constant motion of the tortoise and explain the result of the race.

Students interpret a line graph of a practical situation.