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A wave model of sound

These diagnostic questions and response activities (contained in the zip file) support students in being able to:

  • Recognise that as a sound wave travels forward, the medium it travels through does not.
  • Describe the movement of each ‘particle’ of a longitudinal (sound) wave as the wave moves...

Waves on water and ropes

These diagnostic questions and response activities (contained in the zip file) support students in being able to:

  • Recognise that as a transverse wave travels forward, the medium through which it travels does not.
  • Describe the movement of each ‘particle’ of a transverse wave as the wave moves...

Diet and Exercise

These diagnostic questions and response activities (contained in the zip file) support students in being able to:

  • Explain what humans need in their diet and why.
  • Identify short-term and long-term effects of exercise on the human body.
  • Predict the possible outcomes of eating too much...

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...

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...

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...

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