Mathematical modelling and making real life connections is the focus of this guide. The use of tree diagrams in probability is developed starting with collecting data to model the numbers of boys and girls in families and the orders in which they occur. The connections between the underlying mathematics in these situatons, […]
Whether or not you have plenty of water where you live it is interesting to see how we use water in our homes.
Cape Town in the 2018 dry season has a serious water shortage and water is rationed to 50 litres per person per day, as shown in this poster.
In 2018 the City of Cape Town rationed everyone to 87 litres a day and published this […]
The graph and table show the Gross Domestic Products (GDP) of the world’s top ten economies in 2016 and the forecast for 2030.
Draw a double bar chart to compare the GDPs for these eleven countries in 2016 and 2030 (forecast).
Which countries are in the top […]
The total world population in 2017 is 7.5 billion (7,500,000,000). What percentage of the world population is without safe drinking water?
The world […]
(1) Explain how the percentage 69.03% of saltwater that makes up the Earth’s surface is calculated from these figures.
(2) How would you use this percentage to find the angle for saltwater for drawing a pie chart?
A pie […]
a mean of 4
a median of 3
and a mode of 3?
One solution is 3, 3, 3 ,5 and 6 and there are several other solutions.
When you have found some solutions make […]
The graph shows the distance along a race track for two racing cars as they approach a bend in a race. Copy the table below, take readings from the graph and fill in the table for the first 10 seconds.
How far does each car go in the 3rd second? How far […]
The ages of children arriving at a zoo in 1 hour are noted by the ticket salesman. There are 12 children between 0 and 3 years old, 14 children between 4 and 10 years old and 48 between 11 and 18 years old.
He draws a bar graph or frequency diagram to represent this […]
Two teams Alpha United and Beta Rovers have each played 15 matches.
The data shows how many goals the teams scored in their matches.
There are six sets of data, three showing the results for Alpha United and three for Beta Rovers.
Match the data to the teams and explain your answers.