Grade 12 Proportional Reasoning Worksheet
This worksheet focuses on advanced proportional reasoning concepts for Grade 12 students, including direct and inverse variation, scale factors, and real-world applications.
Includes
Standards
Topics
Proportional Reasoning: Grade 12
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Date:
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Read each question carefully and answer to the best of your ability. Show all your work for full credit.
1. If y varies directly as x and y = 15 when x = 5, what is the value of y when x = 9?
3
27
45
135
2. The time it takes to travel a certain distance is inversely proportional to the speed. If it takes 4 hours to travel a distance at 60 mph, how long will it take to travel the same distance at 80 mph?
2 hours
3 hours
3.5 hours
5.33 hours
3. If two quantities are directly proportional, their ratio is .
4. The concept of variation describes a relationship where an increase in one quantity leads to a decrease in another, and vice-versa.
5. A map has a scale of 1:25,000. If two cities are 12 cm apart on the map, what is the actual distance between them in kilometers?
6. The volume of a gas is inversely proportional to its pressure at a constant temperature. If a gas has a volume of 10 liters at a pressure of 2 atmospheres, what will be its volume if the pressure is increased to 5 atmospheres?
7. If y is directly proportional to the square of x, and x is doubled, then y is also doubled.
True
False
8. In an inverse variation, as one quantity increases, the other quantity decreases at a constant rate.
True
False
9. The intensity of light (I) from a source is inversely proportional to the square of the distance (d) from the source. If the intensity is 100 lux at a distance of 1 meter, what is the intensity at a distance of 5 meters?
10. A recipe calls for 3 cups of flour for every 2 cups of sugar. If you want to make a larger batch using 5 cups of sugar, how much flour will you need? Express your answer as a mixed number.