Microscopy · cell structure

Magnification and image size

Calculate magnification, actual size and image size, then practise using a scale bar. Get new values, clues and worked solutions.

Method and worked examples ↓

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Check your answer after each question. Use a calculator where needed.

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How to approach these questions

  1. Write down the image size and actual size, including their units.
  2. Convert to the same unit: 1 mm = 1,000 μm.
  3. Rearrange if needed: actual size = image size ÷ magnification; image size = actual size × magnification.
  4. For a scale bar, compare the measured object length with the measured bar length. Multiply that ratio by the real length represented by the bar.

Worked examples

A printed micrograph shows a bacterium 27.0 mm long. Its actual length is 4.50 µm. Calculate the magnification.

Convert 27.0 mm to 27 000 µm. Magnification = 27 000 ÷ 4.50 = ×6000. Magnification is a ratio with no unit; 6.00 × 10³ expresses the same value to three significant figures.

On the same micrograph, a cell measures 31.5 mm and a scale bar measures 7.00 mm. The bar represents 2.00 µm. Find the actual cell length.

Cell-to-bar ratio = 31.5 ÷ 7.00 = 4.50. Actual cell length = 4.50 × 2.00 = 9.00 µm. Resizing the whole image changes both measured lengths by the same factor, so the ratio is preserved. Use the supplied measurements; measuring this webpage with a ruler would depend on screen settings.

A cell is 8.00 µm wide and is shown at ×2500. Calculate its image width in mm.

Image width = 8.00 µm × 2500 = 20 000 µm = 20.0 mm. Multiplying by magnification gives an image length, then dividing by 1000 converts µm to mm.

Keep practising

Topic map and study list · Practical data guides · Active recall decks

Course resources

AQA A-level Biology · OCR A A-level Biology · Textbook answers

Skill coverage follows the common A-level science subject content. Check your board’s current requirements: AQA 7402 and OCR A H420.