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Students find a missing number using clues about what remainder there is when the number is divided by given numbers.

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

Students use a picture of a spinner to calculate the probability of the arrow pointing to the black or white portion of a card.

Students carry out calculations involving multiplication of whole numbers by decimal numbers.

Students calculate the number of different sized bottles of cola needed to make 6 litres and calculate the cheapest option to buy 12 litres

Students calculate the quantity and time taken for pages to be printed on a computer printer from the rate at which it prints.

This practical task requires students to determine the number of different coloured beads needed to thread onto a necklace by interpreting different percentages.

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 answer questions about time and average speed given a rate of walking.

Students calculate the number of free gifts distributed at a Tennis Championship given the number of people entering and the frequency of the gifts given away.

Students calculate the changes to an account balance after two withdrawals and a deposit.

Students order possible items, work out the change from $10 or the shortfall for different items.

Based on a results table, students respond to questions about the probability of events occurring when an arrow is spun and lands on different colours.

Students express proportions as percentages and calculate percentages.

Students order litre and millilitre capacities from smallest to largest, compare given capacities and explain how they know whether one is larger/smaller or the same.

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 recognise equal and different likelihoods when playing a game of chance and explain their reasoning.

Students find the sum of a number of given decimal weights of objects or the post.

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

Students show how they find the value of an unknown number in a range of linear equations.

Students decide which arrow on three spinners is most likely to point to white, and explain their reasons.