Subtracting: Fluency & Practice

Mathematics
Grade 6
12 questions
~24 mins
1 views0 downloads

About This Worksheet

A worksheet focusing on subtracting to find areas of compound shapes, designed for Grade 6 students to develop procedural mastery and problem-solving skills.

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Full preview • 12 questions

Subtracting: Fluency & Practice

Subject: MathematicsGrade: Grade 6
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Untitled Worksheet

Grade Grade 6
A

Practice Questions

Answer all questions. Show your working in the grid spaces provided.
1.
Subtract the smaller area from the larger to find the net area: A rectangle of 20 cm by 12 cm has a rectangular cut-out measuring 8 cm by 6 cm. What is the remaining area?
[2 marks]
2.
Calculate the area of the shape formed by subtracting a square of 5 cm sides from a rectangle of 15 cm by 10 cm.
[3 marks]
3.
A garden is 30 meters long and 20 meters wide. A pathway 3 meters wide runs around the garden. Find the area of the pathway by subtracting the inner rectangle from the larger rectangle.
[3 marks]
4.
Subtract the area of the smaller shape from the larger to find the shaded region: The large rectangle is 25 cm by 18 cm. A smaller rectangle of 10 cm by 8 cm is cut out from one corner.
[2 marks]
5.
A swimming pool is 50 meters long and 10 meters wide. A section 15 meters by 10 meters is fenced off inside it. Calculate the remaining unfenced area by subtracting.
[3 marks]
6.
Construct a rectangle with an area of 60 cm². Subtract a square of area 16 cm². What is the remaining area?
[3 marks]
7.
A rectangular field measures 80 meters by 50 meters. A smaller rectangular pond measuring 30 meters by 20 meters is inside. Find the land area after subtracting the pond.
[3 marks]
8.
A composite shape consists of a rectangle and a square attached together. The rectangle is 12 cm by 8 cm, and the square is 8 cm by 8 cm. If the square overlaps the rectangle, subtract the overlapping area to find the total.
[4 marks]
9.
Subtract the area of a triangle with base 10 cm and height 6 cm from a rectangle of 20 cm by 15 cm. What is the remaining area?
[3 marks]
10.
Identify the mistake in this subtraction: The area of a rectangle is 45 cm². When subtracting a smaller shape with 20 cm², the answer is given as 30 cm². What's wrong?
[2 marks]
11.
A garden shape is formed by subtracting a smaller rectangle from a larger one. The larger rectangle measures 40 m by 30 m, and the smaller is 10 m by 15 m. Find the remaining area.
[3 marks]
12.
A complex shape involves subtracting a triangle with an area of 12 cm² from a square of 16 cm². What is the remaining area?
[3 marks]

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Details

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