Breaking Down: Fluency & Practice
Mathematics
GCSE Higher
12 questions
~24 mins
1 views0 downloads
About This Worksheet
A worksheet focusing on breaking down complex shapes into simpler parts to find their total area, aimed at GCSE Higher students. It includes procedural practice and real-world applications.
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Breaking Down: Fluency & Practice
Subject: MathematicsGrade: GCSE Higher
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Untitled Worksheet
Grade GCSE Higher
A
Practice Questions
Answer all questions. Show your working in the grid spaces provided.
1.
Calculate the area of a rectangle measuring 8 cm by 3 cm.
[2 marks]2.
A shape consists of a rectangle (10 cm by 4 cm) with a right triangle of base 4 cm and height 3 cm on top. Calculate the total area of the shape.
[3 marks]3.
Break down a L-shaped figure into two rectangles with dimensions 6 cm by 4 cm and 3 cm by 5 cm, then find the total area.
[3 marks]4.
A composite shape is made of a 7 cm by 5 cm rectangle and a 3 cm by 4 cm rectangle attached along one side. Find the total area.
[2 marks]5.
Construct a shape by combining a rectangle (9 cm by 4 cm) and a square (4 cm by 4 cm). Calculate the total area.
[3 marks]6.
A garden has a main rectangular area measuring 12 m by 8 m, with a smaller rectangular pond (3 m by 2 m) inside it. Find the area of the garden excluding the pond.
[3 marks]7.
A shape is made of a large rectangle (15 cm by 10 cm) with a smaller rectangle (5 cm by 4 cm) cut out from one corner. Find the total shaded area if the cut-out portion is removed.
[2 marks]8.
A composite figure consists of a 10 cm by 6 cm rectangle and a 4 cm by 3 cm rectangle stacked vertically. Calculate the total area using breaking down.
[3 marks]9.
A complex shape can be divided into three rectangles: 5 cm by 3 cm, 6 cm by 2 cm, and 4 cm by 4 cm. Find the total area.
[3 marks]10.
Identify and correct the mistake in this calculation: A rectangle of 8 cm by 5 cm is broken into two parts: 8 cm by 2 cm and 8 cm by 3 cm. The student claims the total area is 56 cm².
[3 marks]11.
Challenge: A shape consists of a rectangle (12 cm by 7 cm) with a semicircular end of diameter 4 cm attached. Break down the shape and calculate the total area.
[4 marks]12.
Extension: Find the area of an irregular L-shape formed by subtracting a 3 cm by 3 cm square from a 10 cm by 8 cm rectangle, then add another rectangle of 2 cm by 8 cm to the shape. Calculate the total area.
[4 marks]Quick Actions
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Details
- Created
- 1/1/2026
- Updated
- 1/1/2026
- Type
- worksheet