Question 1: In a wildlife survey, 50 animals are captured and tagged. Later, 60 animals are captured, of which 15 are tagged. Use the capture-recapture formula to estimate the total population.

Answer: 200

Question 2: If 80 animals are tagged in the first catch, and 100 animals are caught in the second catch, with 20 tagged animals recaptured, what is the estimated population?

Answer: 400

Question 3: A researcher captures 40 animals and tags them. In a second capture, 50 animals are caught, with 10 tagged animals among them. Calculate the estimated total population.

Answer: 200

Question 4: A study involves capturing 30 animals, tagging them, then recapturing 70 animals, with 12 tagged animals in the second catch. What is the estimated population?

Answer: 175

Question 5: Explain in your own words how the capture-recapture method helps estimate animal populations.

Answer: It estimates the total population by using the number of animals tagged and recaptured to calculate how many animals are likely in the overall population.

Question 6: A wildlife biologist tags 25 animals. Later, during a second capture, 30 animals are caught, with 5 tagged. What is the estimated total population?

Answer: 150

Question 7: Plot the graph of y=2x for x values from 0 to 5 on the grid provided.

Answer: Students draw the line y=2x on the grid.

Question 8: Construct a triangle with side lengths 3, 4, and 5 units on the grid.

Answer: Students draw the triangle with the given side lengths.

Question 9: A researcher tags 60 animals. In a second catch, 90 animals are captured, with 18 tagged. Estimate the total animal population.

Answer: 300

Question 10: A common mistake is to swap the numerator and denominator in the capture-recapture formula. Identify and correct this mistake in the following calculation: N = (C × R) / M, where C=50, R=60, and M=15.

Answer: The correct formula is N = (M × C) / R. Swapping numerator and denominator gives an incorrect estimate.

Question 11: An inaccurate calculation suggests the total population as 500 when counting is actually 200. What common mistake might have led to this overestimation?

Answer: Using incorrect values or mixing up variables, such as swapping numerator and denominator, can lead to overestimation.