6 exam-style questions with full mark schemes and model answers. Write your own answer and the AI examiner marks it against the mark scheme.
The table below shows the monthly rainfall recorded at a weather station over six months.
| Month | Jan | Feb | Mar | Apr | May | Jun |
|---|---|---|---|---|---|---|
| Rainfall (mm) | 80 | 60 | 70 | 50 | 40 | 30 |
Calculate the mean monthly rainfall. Show your working. (2 marks)
A student measured the long axis of eight pebbles (cm) at a beach:
| Pebble | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 |
|---|---|---|---|---|---|---|---|---|
| Long axis (cm) | 4 | 7 | 3 | 9 | 6 | 5 | 8 | 2 |
Calculate the median long-axis length. Show your working. (2 marks)
The table shows the maximum daily temperature (°C) recorded over one week.
| Day | Mon | Tue | Wed | Thu | Fri | Sat | Sun |
|---|---|---|---|---|---|---|---|
| Max temp (°C) | 18 | 21 | 17 | 24 | 19 | 22 | 16 |
Calculate the range of the maximum daily temperatures. Show your working. (2 marks)
A class measured river velocity (cm/s) at eight points across a channel. The ordered values are:
| 4 | 6 | 8 | 10 | 14 | 16 | 18 | 20 |
Calculate the interquartile range (IQR) of the velocities. Show your working. (3 marks)
In a survey of 200 residents about how they travel to work, the results were:
| Mode | Bus | Car | Walk | Cycle |
|---|---|---|---|---|
| Number of residents | 70 | 90 | 30 | 10 |
Calculate the percentage of residents who travel to work by bus. Show your working. (2 marks)
The population of a city changed as shown below.
| Year | 2001 | 2021 |
|---|---|---|
| Population (millions) | 1.2 | 1.5 |
Calculate the percentage change in population between 2001 and 2021. Show your working. (3 marks)