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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.

Pairs of students play a game with four dice, calculate the probability of winning the game, comment on how to get a more accurate estimate of the probability, and explain whether the game is fair based on their results.

Students calculate the area of a bush reserve in hectares.

Students identify the approximate capacities of everyday containers.

Students interpret bi-variate data on a bar graph to answer questions about social media and age of users.

This task requires students to calculate the size of angles using their knowledge of angles and parallel lines: alternate angles, corresponding angles and co-interior angles. Understanding of adjacent angles on a straight line is also required.

Students work out the area of different shapes.

Students identify the angle of different objects and movements.

Students construct and label a pie graph of favourite drinks from data in a table. They also interpret results involving proportions.

Students calculate fractions of a given number of marbles.

Students predict the outcome of throwing five dice and confirm their predictions by conducting an experiment and calculating probabilities. After discussing how to get better estimates, they pool their results with others to get a more accurate estimate of how good their predictions were.

Students interpret a pie graph by answering questions on how city rates were spent over one year.

Students write the bearing and distance of a number of objects on a radar screen.

Using shapes on grids, students translate points by different vectors.

Students complete a picture-graph from a chart of data about the number of sunny days recorded over six months with a scale.

Students choose the correct trigonometric ratio which would be used to calculate a missing length in two practical problems.

Students are asked to construct and label a line graph of words typed per minute by two students for each day of the week. Data is provided in a frequency table.

Using data given in a table, students are required to construct a double line graph on the axes provided.

Students are required to use trigonometry to calculate the length of one side of a right-angled triangle in three problems based on a ski lift, a toy sail boat and a penguin on an iceberg.

Students complete a table and a rule for a linear equation for a foreign currency exchange. The values are then plotted and interpreted.

Students express proportions as percentages and calculate percentages.

Students explain why two people will get different totals when measuring a room using their hand span.

Students interpret a line graph of a practical situation.

Students use rates to solve word problems involving cooking and preserving.

Students determine the probability of finding a lost cat in various locations marked on a grid map.