Calculation: Architectural Design & Conversion
Mathematics
Year 9
14 questions
~28 mins
1 views0 downloads
About This Worksheet
A worksheet focusing on calculation skills involving conversion between mixed numbers and improper fractions, contextualized within architecture and design scenarios.
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Full preview • 14 questions
Calculation: Architectural Design & Conversion
Subject: MathematicsGrade: Year 9
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Untitled Worksheet
Grade Year 9
A
Fluency & Practice
Answer all questions. Show your working in the grid spaces provided.
1.
Convert the mixed number 3 2/5 to an improper fraction.
[2 marks]2.
Express the improper fraction 11/4 as a mixed number.
[2 marks]3.
Simplify the mixed number 5 8/12 to its lowest terms.
[2 marks]B
Problem Solving & Reasoning
Answer all questions. Show your detailed working in the grid spaces provided.
1.
A designer is creating a section of a building where the length of a beam is 4 3/4 meters. Convert this length into an improper fraction and then determine how many halves are in this length.
[3 marks]2.
A wall needs to be built with bricks that measure 2 2/3 feet each. If a section requires 15 bricks, what is the total length in improper fractions? Show your working.
[3 marks]C
Real-world Applications
Answer all questions. Use the grid to support your calculations where applicable.
1.
An architect designs a staircase with treads measuring 1 1/2 feet each. If the total height of the staircase is 12 1/4 feet, how many whole treads are needed? Convert the height to an improper fraction first.
[3 marks]2.
A curtain rod extends 7 1/3 feet across a window. If the rod is cut into pieces of 1 1/4 feet each, how many pieces can be obtained? Show your working.
[3 marks]D
Challenge & Extension
Answer all questions. Provide detailed explanations for multi-step problems.
1.
A blueprint requires a scaled drawing where 1 inch on paper represents 2 1/2 feet in real life. Convert a real length of 9 3/4 feet into the drawing scale in inches.
[3 marks]2.
A building plan shows a corridor that is 5 2/3 meters long. If you need to measure this on a scaled map where 1 cm equals 0.5 meters, what is the length of the corridor in centimeters? Convert your answer to a mixed number if necessary.
[3 marks]E
Mixed Review
Answer all questions. Vary your techniques and problem types.
1.
Express 7 4/9 as an improper fraction.
[2 marks]2.
Convert 23/8 to a mixed number in its simplest form.
[2 marks]3.
A tile measures 2 1/2 feet in length. How many tiles are needed to cover a floor measuring 22 1/4 feet? Show your working.
[3 marks]F
Error Analysis
Review the common mistakes below. Identify and correct the errors in the following conversions.
1.
A student converts 3 2/5 to an improper fraction as 13/5. Identify the mistake and provide the correct answer.
[2 marks]2.
A student converts 11/4 to a mixed number as 3 3/4. Find and explain the error.
[2 marks]Quick Actions
What is Remix?
Create a new worksheet based on this one. Change the grade level, topic, number of questions, or difficulty - then generate a fresh version.
- • Change grade level (Grade 6 → Grade 7)
- • Swap topics (Harry Potter → Macbeth)
- • Add more questions (10 → 15)
- • Adjust difficulty
Details
- Created
- 1/1/2026
- Updated
- 1/1/2026
- Type
- worksheet