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Students solve puzzles by determining the unknown number from each set of statements.

Students complete number patterns and express the rules in words.

Students complete rules for number patterns generated using a calculator.

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

Students use linear equations to solve mathematical problems for money deposited and withdrawn from a bank account. They also identify parts of the related linear equation.

This task is about working out change for a variety of purchases.

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 continue a triangular pattern of dots on a fish and write a rule to describe the pattern.

Students interpret and answer questions about a mapping diagram showing activities students chose in a basketball lesson.

Students calculate the charges for lawn mowing expressed as rate plus set-up cost.

Students complete 3 x 3 addition arrays by using whole numbers and algebraic expressions.

Students complete number sequences, and identify different rules for sequences that begin with the same numbers.

Students identify and continue the number pattern for a stack of cans and complete a graph to demonstrate the relationship between two sets of numbers.

Students complete a table showing the number of rungs for different sized ladders. They complete a sentence stating the rule to calculate the number of rungs given the length, and use the rule to identify if a ladder, at a lean, will reach a given height and show their working.