After Increase: Real-world Applications in Architecture & Design

Mathematics
Grade 7
12 questions
~24 mins
1 views0 downloads

About This Worksheet

A worksheet focusing on calculating original values after an increase, with real-world architecture and design contexts suitable for Grade 7 students.

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After Increase: Real-world Applications in Architecture & Design

Subject: MathematicsGrade: Grade 7
Name:
Date:
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Untitled Worksheet

Grade Grade 7
A

Practice Questions

Answer all questions. Show your working in the grid spaces provided.
1.
A wall in a building is painted with 150 liters of paint. The amount of paint needed increases by 20% for a larger wall. How much paint was originally needed before the increase? Show your working.
[3 marks]
2.
A window frame's length was increased by 15%. After the increase, the new length is 69 cm. What was the original length? Show your working.
[3 marks]
3.
An architect designs a balcony that is initially 12 meters long. The length is increased by 25%. What was the original length? Show your working.
[3 marks]
4.
A designer increases the height of a column by 30%. If the new height is 78 cm, what was the original height? Show your working.
[3 marks]
5.
A skylight is originally 5 meters wide. It is increased by 10%. Calculate its original width.
[2 marks]
6.
A staircase's length was increased by 12%. After the increase, it measures 56 meters. What was the original length? Show your working.
[3 marks]
7.
A balcony's width was increased by 18%. The new width is 2.36 meters. Find the original width.
[3 marks]
8.
A designer increases the diameter of a circular fountain by 40%. If the new diameter is 14 meters, what was the original diameter? Show your working.
[3 marks]
9.
A building’s roof surface area increases by 35% after renovations. If the new surface area is 1350 square meters, what was the original area? Show your working.
[3 marks]
10.
A wall's height was increased by 25%. The new height is 15 meters. What was its original height? Show your working.
[3 marks]
11.
A window's width increased by 20% results in a new width of 48 cm. Calculate the original width.
[2 marks]
12.
Error Analysis: A student finds the original length of a beam as 50 meters after a 25% increase, claiming the new length is 62.5 meters. Is this correct? If not, what is the mistake?
[4 marks]

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Details

Created
1/1/2026
Updated
1/1/2026
Type
worksheet