Capture-Recapture: Mixed Review

Mathematics
GCSE Higher
11 questions
~22 mins
1 views0 downloads

About This Worksheet

A worksheet covering Capture-Recapture methods, with a mix of procedural, contextual, and extension questions suitable for GCSE Higher students.

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Capture-Recapture: Mixed Review

Subject: MathematicsGrade: GCSE Higher
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Untitled Worksheet

Grade GCSE Higher
A

Practice Questions

Answer all questions. Show your working in the grid spaces provided.
1.
A wildlife researcher captures 150 animals, tags them, and releases them back into the population. Later, they catch a second sample of 200 animals, of which 30 are found to be tagged. Estimate the total population using the Capture-Recapture method.
[3 marks]
2.
In a bird survey, 120 birds are captured and tagged. A week later, 180 birds are caught, with 36 tagged. Calculate the estimated bird population.
[3 marks]
3.
Explain the assumptions behind the Capture-Recapture method and discuss how violations of these assumptions might affect the estimate.
[4 marks]
4.
A researcher captures 80 fish, tags them, and releases them. Later, 150 fish are caught, with 45 tagged. What is the estimated total fish population?
[3 marks]
5.
A student makes a mistake in applying the Capture-Recapture formula by using 2 instead of 3 as the denominator in the calculation. Identify and correct the mistake.
[2 marks]
6.
Construct a diagram (on the grid) that illustrates a capture-recapture scenario with a total population estimate of 500, where 100 are initially tagged and 120 are recaptured with 30 tagged.
[4 marks]
7.
A population of insects is estimated to be 800 using capture-recapture. If a second sample recaptures 50 tagged insects out of 200 caught, how many insects were originally tagged? Show your working.
[4 marks]
8.
The estimate for a population is 400. After a second capture, 60 tagged animals are found in a sample of 150. How many animals were tagged in the first capture?
[3 marks]
9.
Identify and explain two limitations of the Capture-Recapture method when used in real-world ecological studies.
[4 marks]
10.
A researcher mistakenly records the number of tagged animals in the second sample as 60 instead of 70. How does this mistake affect the population estimate? Explain briefly.
[2 marks]
11.
Plot the graph of y = 2x for x values from 0 to 10 on the grid provided.
[4 marks]

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Details

Created
1/1/2026
Updated
1/1/2026
Type
worksheet