Number and Algebra resources

Students answer a question about working out many kilometres were travelled in one hour from a given time to travel one kilometre.

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

Students calculate percentages of whole numbers and convert fractions to percentages.

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

Students expand algebraic expressions.

Students select the correct simplification of algebraic expressions.

Students use measurements to write algebraic expressions for the perimeter and area of a garden.

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.

This task is about finding the solutions for linear equations.

Students select graphs on a Cartesian plane when their gradient and y-intercepts are given.

Students solve number problems involving prices which include and exclude GST.

Students complete a table based on an algebraic formula for free fall velocity, plot the results, and interpret the graph.

Students select the correct equation to describe a series of graphs.

Students evaluate and simplify algebraic expressions for the side lengths and perimeter of a composite shape. They then find x for a given perimeter.

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 interpret graphs showing the different ways that four people run a race.

Students factorise a series of algebraic expressions.

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.

In this task students build the next two models of a spatial sequential pattern and then use their results to predict subsequent patterns and give general rules for these in words and in equations.

Students convert speeds of vintage cars into kilometres per hour, and calculate distances travelled at these speeds.