Example 1: Drawing a pyramid of numbers to scale
Adapted from January 2023 (R), Paper 1B · Question 3(b)(i)
Question 1
This is a food chain from a woodland ecosystem.
Oak treeMouseFox
A student counted 20 mice living around 4 oak trees. There were also 2 foxes in the area.
Draw a labelled pyramid of numbers for this food chain.
Your pyramid should be drawn to scale.
Final answer
Draw three equal-height, centred bars stacked as a pyramid: oak trees (4) at the bottom, mice (20) in the middle and foxes (2) at the top. Make the bar widths proportional to 4:20:2. For example, using 1 small grid square for every 2 organisms, the widths are 2, 10 and 1 squares respectively.
Mark scheme points
- M1 The bars form a pyramid: narrow at the base, wider in the middle and narrow at the top.
- M2 The bars are labelled oak trees, mice and foxes in the correct order.
- M3 The bar widths are drawn to scale for the numbers 4:20:2; the bar heights are the same.
Explanation
Put the oak trees at the bottom, mice above them and foxes at the top, following the food chain. The counts make the middle bar widest, while both the base and top bars are narrower. Keep the bars the same height and show the counts through their widths: 4:20:2. The example scale gives widths of 2, 10 and 1 grid squares.
Common mistakes
- The examiner report notes that a few candidates left bars unlabelled, did not draw them to scale, or drew a bar chart instead of a pyramid. Check the labels, relative widths and pyramid shape.
- Do not use different bar heights to represent the counts: keep the heights equal and vary the widths.