Evaluating: Real-world Applications in Architecture & Design
Mathematics
Year 9
11 questions
~22 mins
1 views0 downloads
About This Worksheet
This worksheet explores evaluating functions within architectural and design contexts. Students will interpret and compute function values based on real-world scenarios and mathematical expressions.
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Evaluating: Real-world Applications in Architecture & Design
Subject: MathematicsGrade: Year 9
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Untitled Worksheet
Grade Year 9
A
Practice Questions
Answer all questions. Show your working in the grid spaces provided.
1.
Evaluate f(3) if f(x) = 2x + 5.
[2 marks]2.
Calculate f(-2) for the function f(x) = 4x - 7.
[2 marks]3.
Determine the value of f(0) where f(x) = 3x^2 + 2.
[2 marks]4.
If f(x) = x/2 + 7, what is f(8)?
[2 marks]5.
Evaluate f(5) for the function f(x) = -x + 10.
[2 marks]6.
A building design uses the function f(x) = 0.5x + 4 to determine the height (in meters) based on the length of a supporting beam x (in meters). What is the height when the beam length is 6 meters?
[3 marks]7.
Construct a function f(x) that models the height of a skyscraper if the height increases by 3 meters for every 2 meters of the building's length, starting at 20 meters.
[3 marks]8.
A designer uses the function f(x) = 2x^2 + 3 to calculate area (in square meters) based on the length x (in meters) of a wall segment. What is the area for a 4-meter segment?
[2 marks]9.
A bridge's stability score is modeled by f(x) = 100 - x^2, where x is the number of design flaws. How stable is a bridge with 5 flaws?
[2 marks]10.
Evaluate f(10) where f(x) = 5x - 3.
[2 marks]11.
Explain why evaluating f(0) is important in understanding the function's value at the starting point in an architectural design context.
[3 marks]Quick Actions
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Details
- Created
- 1/1/2026
- Updated
- 1/1/2026
- Type
- worksheet