Example 1: Comparing decomposition in two mesh sizes
Adapted from June 2011, Paper 2B · Question 3(b)
Question 1
Scientists in Malaysia studied the rate of decomposition of leaf discs placed in bags in the soil. Leaf discs from a forest tree were placed in bags of two different mesh sizes. At intervals of four weeks, some of the bags were removed from the soil and the dry mass of the leaves was measured. The experiment was continued over a period of 20 weeks.
The data they obtained are shown in the table.
| Weeks | Dry mass of leaves remaining (% of original mass) |
|
|---|---|---|
| Small mesh | Large mesh | |
| 0 | 100 | 100 |
| 4 | 92 | 88 |
| 8 | 84 | 78 |
| 12 | 74 | 66 |
| 16 | 72 | 60 |
| 20 | 68 | 58 |
Plot a graph of the data, using straight lines to join consecutive points in each series.
Final answer
Use a linear horizontal scale from 0 to 20 weeks and a linear vertical scale from 50% to 100%. Label the horizontal axis Weeks and the vertical axis Dry mass of leaves remaining (% of original mass). Plot these points:
| Weeks | Small mesh (%) | Large mesh (%) |
|---|---|---|
| 0 | 100 | 100 |
| 4 | 92 | 88 |
| 8 | 84 | 78 |
| 12 | 74 | 66 |
| 16 | 72 | 60 |
| 20 | 68 | 58 |
Join the points for each mesh size with neat straight lines, and include a key identifying the two lines.
Mark scheme points
- M1 Use linear scales on both axes.
- M2 Put weeks on the horizontal axis and dry mass remaining (%) on the vertical axis; label both axes.
- M3 Plot the data points accurately for both mesh sizes.
- M4 Join the points for each series with neat straight lines through the points.
- M5 Include a key to identify the small-mesh and large-mesh lines.
The mark scheme notes that a graph with only one line does not gain the line, plotting or key marks.
Explanation
A linear scale means equal distances on an axis represent equal changes in value. Put time in weeks along the horizontal axis and the percentage of dry mass remaining on the vertical axis. Plot each pair of values from the table at its corresponding week. The two series share the point (0, 100), so use a key to show which line represents each mesh size. Join each series separately with straight line segments.
Common mistakes
- Do not omit either data series: one line alone misses the line, plotting and key marks.
- Check that the axes are not swapped and that both are labelled, including weeks and %.
- Do not draw bars; the mark scheme allows only the axes and key marks for a bar chart.