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Spinner bingo: systematic listing

This task assesses how well students understand systematic listing and possibility space diagrams.

A game uses two spinners marked in equal sections with the numbers 1 to 9. Players fill in nine different numbers on a card. Both spinners are spun, and the numbers added to make a score. If a player has that...

Lottery: systematic listing

This task assesses how well students understand systematic listing and expected value.

The task features a proposal for a lottery game. Players must pay a $1 fee to enter the lottery. They are given a card showing the numbers 1 to 6. Players cross through two numbers of their choosing. A bag contains balls...

Memory game: conditional probability

This task assesses how well students understand calculating conditional probability. Some of the tasks require either systematic listing or use of  tree diagrams.

The task features a ‘memory game’. In the game there are four cards, two have a picture of an apple on them, and two have a picture of bananas. In...

Card game: conditional probability

This task assesses how well students understand calculating conditional probability.

The task features a game of ‘higher or lower’ being played with cards numbered 1 to 10. Several turns in a game are shown and students must write the probability that the next card is either higher or lower.

This task...

Candy bars: analysing data

This task assesses analysing data using graphs or charts.

A group of friends are planning on selling candy bars at a school tuck shop. They conduct a survey of 30 people, asking the question, ‘how many bars of candy do you eat in a week?’

The results are presented as raw data, stating male or female,...

Ice cream: pie charts

This task assesses understanding of pie charts and working on a problem in a real life situation.

The task involves making a plan for selling ice creams at a school sports day. Information is given on:

  • The cost of a tub of ice cream
  • The capacity of the tub
  • How many cones can be...

Temperatures: graphs and box plots

This task assesses understanding of graphs and box plots.

A graph is given that shows the highest average temperature for each month in California and Washington. The task is to say what is the same about the graphs, and what is different. A subsequent task is to select correct box plots for California and...

Scatter diagrams

This task assesses understanding of scatter diagrams and lines of best fit. A scatter diagram is presented that shows the scores achieved in two tests.

The task involves plotting a point to show the average score for each test, drawing a line of best fit, and then assessing five statements about the scatter...

Birds' eggs: scatter diagrams

This task assesses understanding of scatter diagrams. A scatter diagram is presented that shows the lengths and widths of the eggs of some American birds.

The task involves plotting additional points on the diagram, describing correlation, interpreting a point on the diagram, and estimating the width of an...

Day out: school trip planning

This task looks at planning a school trip. Information is given about three places to visit, including the cost and distance from school. A class vote takes place with students listing their first and second choice of which place they would like to visit. Additional information gives the cost per mile of hiring a...

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