Edexcel A-Level Biology A2 A 4 Geometry and Trigonometry Questions

Practise Edexcel A-Level Biology geometry skills through surface area, volume, cross-sectional area, radius-diameter conversion and SA:V ratios.

Syllabus
Pearson Edexcel International Advanced Subsidiary/Advanced Level
Course
Biology XBI11/YBI11
Level
A2

Exam points

  • calculate surface area or volume from radius, diameter and biological measurements
  • convert between radius, diameter and units before using circle or sphere formulae
  • work out surface-area-to-volume ratios for cells, organisms or model shapes

Question 1

[Maximum number: 2]

Nematodes are a type of worm that live in a wide range of environments.

The photograph shows a nematode.

Figure for Question 1 — Edexcel A-Level Biology A2

In 1986, there was a nuclear power plant disaster resulting in high levels of radiation in the surrounding area.

Scientists have been studying nematodes in the area affected by radiation (the exclusion zone).

The exclusion zone is an area with a radius of 18.6 miles from the nuclear power plant.

Calculate the area of the exclusion zone in km2\mathrm{km}^{2}.
1 mile =1.6 km=1.6 \mathrm{~km}.
Give your answer to a suitable number of decimal places.

Answer km2\mathrm{km}^{2}

Question 2

[Maximum number: 3]

The structure of a chloroplast is related to its role in photosynthesis.

The diagram shows a chloroplast.

Figure for Question 2 — Edexcel A-Level Biology A2

The diagram is 16000 times larger than an actual chloroplast. Calculate the surface area of the actual chloroplast. Use the formula: Surface area =4πr2=4 \pi r^{2} Give your answer as a whole number in μm2\mu \mathrm{m}^{2}.

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