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Flight Charges

Countries charge for planes to fly through their airspace even if the plane does not land. Different countries levy different charges, therefore plane companies consider a number of different routes and calculate the associated charges with each route. The formula used to fly over Europe is considered and an...

Suzi’s company: frequency tables

This task is designed to assess how well students understand:

  • Calculating the mean from a frequency table
  • Working out the mode from a frequency table
  • Using statistical measures to justify a statement

The task looks at salaries in a small company. Information on salaries is...

Statistics and probability (MARS)

This task is designed to assess how well students understand assigning probabilities and working with statistical measures.

There are a series of five short tasks for students to complete. Each comes with a detailed rubric.

This task is from the Mathematics Assessment Resource Service, a collaboration...

Charity fair: assigning probabilities

This task is designed to assess how well students understand assigning probabilities and expected value.

The task looks at a ‘Lucky Dip’ game designed to raise money for charity. There are three barrels, each contains equal numbers of red, green, white and black balls. The game costs 25¢ to enter and players...

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...

Birds' eggs: scatter diagrams (14-16)

This task assesses scatter diagrams and lines of best fit.

A scatter diagram is shown of the length and width of birds eggs. There follows a series of five short tasks on:

  • Plotting an additional data point
  • Making a statement about correlation
  • Making an estimate of width from a...

Interpreting categorical and quantitative data

This task involves interpreting categorical and quantitative data.

There are five short tasks to complete on the following topics:

  • Box plots
  • Frequency graphs
  • Median
  • Probability

This task is from the Mathematics Assessment Resource Service, a collaboration...

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