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Students compare the overall distribution of two dot plots and describe their reasons.

Students find the next three shapes in several growing shape patterns and explain how they worked out the shapes.

Students throw two dice, add the numbers together, construct a tally chart of results, and compare theoretical with observed outcome.

Students count the number of pairs thrown in a series of throws of three dice to evaluate the long-run relative frequency of getting a pair.

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

Students calculate percentage increases and decreases for odd jobs and show their working.

Students work out fractional values of whole numbers in a range of contexts and show their working.

Students explain why a range of students' answers to a maths problem are incorrect.

Students solve mathematical problems involving distance, and identify parts of an algebraic expression.

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

Students select the correct statement that matches a given graph.

Students discuss making an interval estimate in multiplication problems (i.e., getting a lower and an upper limit for the actual answer using the front-end and rounding-up estimation methods). They then use this method on two problems.

Students read scales to measure images of objects to the nearest tenth of a centimetre.

Students answer questions involving adding and subtracting fractions of food.

Students work out the missing dimension on a rectangle and show how they obtained it using proportional reasoning.

Students solve different forms of addition equations.

Students use the additive identity and the commutative property to assist them to solve simple equations without calculating.

Students select a non-standard unit of measure to measure an envelope and explain their choice.

Students predict nets that fold to make a cube, then cut out and fold the nets to check their prediction.

Students solve different forms of subtraction equations.

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

Students use a number line to show how to solve whole number subtraction problems.

Student select shapes that are similar but not squares and explain what makes them squares or not.

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

Students round given decimal numbers to the nearest tenths, hundredths, and thousandths and identify possible original numbers from rounded numbers.