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Students select from a range of given numbers to complete a 4 x 4 'number square' with given row and column totals.

Students compare the costs of printing a school magazine at two different companies.

Students interpret a graph of taxi company charges to show which company is cheaper and complete a rule for each company's charges. They also identify the distance at which each company charges the same amount.

For this NEMP task students complete a table for a linear equation about fuel consumption.

Students describe a variable in a linear equation, solve the equation, and complete a second equation relating to weights.

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

Students use a flowchart to find solutions and generate rules from them.

Students complete addition and subtraction equations that explore part-whole relationships.

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

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

Students select from a range of given numbers to complete a 4 x 4 'addition number square' with given row and column totals.

Students complete equations that give the rule for the general term for a number of spatial patterns.

Students complete a table showing times to boil different quantities of water. They identify the rule that relates the amount of water to boiling time and use it to answer questions.

Students complete number pairs, and write the equations for three 'number machines'.

Students respond to questions about the relationship between diagonals, triangles and polygons; then write a rule to describe the pattern.

Students complete a table then describe and write a rule to work out the number of matchsticks needed to make alien shape patterns.

Students use sticks to continue given patterns, and identify the number of sticks needed to make the new shapes in the pattern.

Students use tables, graphs, and equations to find the break-even point for two companies who charge for postage according to different rules.

Students calculate the cost of hiring a search and rescue helicopter and compare this cost with another helicopter company's charges.

Students interpret a line graph of a practical situation.

Students solve a number of mathematical problems involving money and distance, and compare the results to identify the cheapest taxi company.

Students calculate the repair charges for two different washing machine repair companies, and compare and explain their results.

Students complete linear equations for given word problems involving multiplication.

Students write algebraic expressions which make equations true.