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IGCSE · Cambridge (CIE) · 0654

Calculate breathing rate from timed counts

Convert complete breathing cycles into breaths per minute and compare activity data.

Gas exchange in humans · Cambridge IGCSE 0654 · B11.1

Mapped to the named 0654 section using teaching from the corresponding single-science course. A 0654-specific review of every Core and Supplement objective is still in progress. Written practice is self-checked; it does not demonstrate supervised laboratory competence or award an official Cambridge grade.

Before you begin

  • Recall conversion from seconds to minutes.

Work on paper. Try each question before revealing help, and explain why your method works.

Quick readiness check

How many complete cycles are one inspiration followed by one expiration?

What you will learn

  • Define a complete breath and timing interval
  • Count consistently and limit the inference

Calculate breathing rate from timed counts

Invented 30-second counts: rest 6 → 12 breaths/min; activity 18 → 36 breaths/min. Rate is separate from depth.Rest / 30 s6 cycles → 12/minActivity / 30 s18 cycles → 36/minChange+24/min; threefold
Invented 30-second counts: rest 6 → 12 breaths/min; activity 18 → 36 breaths/min. Rate is separate from depth. Original teaching model.

Define a complete breath and timing interval

Breathing rate is the number of complete breathing cycles per unit time, commonly breaths per minute. One inspiration followed by one expiration counts as one cycle, not two separate breaths. Record the counting interval in seconds before converting; the same raw count has a different meaning over 15 seconds and over 60 seconds.

For the invented activity observation, 18 complete breaths occur in 30 seconds. Multiply by 60/30 to obtain 36 breaths per minute. A supplied resting count of 6 in 30 seconds gives 12 breaths per minute. The measured change is 24 breaths per minute, and the activity rate is three times the stated resting rate.

Count consistently and limit the inference

Use the same cycle definition and timing method in repeated resting and post-activity observations. Record when counting starts after the activity, because recovery can change the rate quickly. Short intervals make one counting error proportionally important; repeated appropriately timed observations help describe variation.

These are teaching figures rather than a fitness test or a diagnosis. A rate increase describes how often breaths occur; it does not establish their depth. The next lesson uses a volume trace to compare depth separately, so a complete activity investigation must record or describe both required outcomes.

Sources for this lesson

Pause and explain

What does a greater breathing rate directly describe?

Put the idea to work

Worked example

Convert 18 breaths in 30 seconds to breaths per minute.

Show the worked solution
  1. 18 × 60/30.
  2. The interval fits twice into a minute.

Answer 36 breaths per minute.

Try a topic test

Choose Easy, Normal or Difficult. Save your answers and open worked review after finishing.

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From guided practice to a new situation

Write your answer and reasoning first. Use a hint only if you are stuck. The model solution is for self-checking; your written work is not automatically marked.

1 · Guided

Convert the supplied resting 6 breaths and activity 18 breaths, both over 30 seconds, into rates.

Give me a hint

Multiply both counts by two.

Compare my reasoning
  1. 6 × 2 = 12.
  2. 18 × 2 = 36.

Rest: 12 breaths/min. Activity: 36 breaths/min.

Look for these in your work

  • Convert both
  • Include rate units
2 · Independent

Find the rate increase and the activity-to-rest ratio.

Give me a hint

Subtract first, then divide.

Compare my reasoning
  1. 36 − 12 = 24.
  2. 36/12 = 3.

Increase: 24 breaths/min. Activity/rest ratio: 3.

Look for these in your work

  • Distinguish difference and ratio
  • Use correct units
3 · Transfer

Does counting 18 breaths in 30 seconds alone show that each breath is deeper than at rest?

Give me a hint

Rate and depth are different outcomes.

Compare my reasoning
  1. The count gives frequency.
  2. No per-breath volume or depth observation is supplied.

No; breathing depth needs its own observation or volume measurement.

Look for these in your work

  • Identify what is measured
  • State the missing evidence

Common mistakes

  • Counting inspiration and expiration as two complete breaths.
  • Reporting a count without its time interval.
Recall without your notes

What can you explain now?

What does a greater breathing rate directly describe?

Compare with the explanation

More complete breaths per unit time

It is a frequency measure.

After trying it yourself, choose your next review. This is your self-assessment.

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Make it stick

Calculate both rates and name the second breathing outcome still needed.

If you needed the solution, close it and solve the problem again from a blank page. A correct answer is stronger when you can explain the reason for each step.

Keep learning Sciences — Co-ordinated (Double)

Course scope and assessment

This 2028–2029 pathway maps all 152 detailed subject-content sections in the published 0654 syllabus to original teaching and staged practice. It adapts teaching from the related single-science pathways and excludes clear 0610-only topics such as classification systems, human excretion, tropic responses, food supply, population dynamics, detailed pollution and biotechnology. Some explanations may include wider single-science context. A 0654-specific objective-by-objective review, Core/Supplement audit, human subject-teacher review, supervised laboratory experience and cumulative assessment remain in progress. Written practice is self-checked and does not predict an official grade. The 2025–2027 syllabus has not been reconciled here; choose the 2028–2029 syllabus only.

StudyForA · Learn with understanding

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