Daily Olympiad: Science - Data Representation [20260511]

Challenge yourself with today's ACT practice! This test covers 'Data Representation' for Science (ACT - 11). Level: Medium | Duration: 40 mins.

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1. A line graph shows the population of algae in a pond over 12 months. At month 3, the population is 500, and at month 9, the population is 2,500. If the data follows a linear trend, what is the approximate population increase per month?

Solution
Correct: C
To calculate the linear increase per month, determine the total increase by subtracting 500 (month 3) from 2,500 (month 9), giving 2,000 over 6 months. Dividing 2,000 by 6 yields approximately 333. The closest answer is 333, but since options round to nearest tens, the correct answer is 300.

2. A scatter plot compares hours of sleep and test scores of 50 students. If the correlation coefficient (r) is 0.75 and a student claims more sleep leads to higher scores, what must also be true?

Solution
Correct: D
A correlation coefficient of 0.75 indicates a strong positive linear relationship, but it does not confirm causation. Option D correctly identifies the observed association without implying causation.

3. A bar graph shows the average rainfall in four cities (A, B, C, D) as 40 cm, 30 cm, 50 cm, and 35 cm. If a new city (E) has rainfall equal to the average of these four, what is the average?

Solution
Correct: A
Total rainfall = 40 + 30 + 50 + 35 = 155 cm. Average of the four = 155 ÷ 4 = 38.75 cm. Therefore, the average of five cities including E (which equals 38.75) is (155 + 38.75) ÷ 5 = 193.75 ÷ 5 = 38.75 cm. Since this option isn’t listed, the closest correct answer is the average of four cities (38.75) rounded to 37.5 or 40. However, using precise calculation: 38.75 cm is closest to 37.5 cm.

4. A table lists temperatures (°C) at different depths in an ocean in April: 20°C (0m), 15°C (50m), 10°C (100m), and 5°C (150m). What is the most likely temperature at 75m depth?

Solution
Correct: A
The temperature decreases by 5°C every 50m. From 0m to 50m, the drop is 5°C (5°C per 50m = 1°C per 10m). At 75m, halfway between 50m (15°C) and 100m (10°C), the drop would be 2.5°C from 15°C, giving 12.5°C.

5. A graph shows the speed of two cars over time. Car X increases speed linearly from 0 to 60 mph in 60 seconds. Car Y accelerates quadratically (y = 0.5x²). What is Car Y’s speed at 60 seconds?

Solution
Correct: B
Plug x = 60 into the equation: y = 0.5(60)² = 0.5(3600) = 1,800 mph. This shows understanding quadratic models versus linear ones.