Square: Problem Solving & Reasoning

Mathematics
Grade 6
11 questions
~22 mins
1 views0 downloads

About This Worksheet

A worksheet focusing on understanding and applying properties of squares through problem solving, reasoning, and real-world contexts for Grade 6 students.

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Full preview • 11 questions

Square: Problem Solving & Reasoning

Subject: MathematicsGrade: Grade 6
Name:
Date:
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Untitled Worksheet

Grade Grade 6
A

Practice Questions

Answer all questions. Show your working in the grid spaces provided.
1.
What is the length of the side of a square if its perimeter is 24 cm?
[2 marks]
2.
Calculate the area of a square with a side length of 5 meters.
[3 marks]
3.
Construct a square with a perimeter of 32 units. Draw and label it on the grid.
[3 marks]
4.
Fluency & Practice: If the side length of a square doubles, how does the area change?
[2 marks]
5.
Identify the property that all sides of a square are equal and all angles are right angles. Why is this important?
[3 marks]
6.
A square has an area of 49 sq units. Find the length of its side.
[2 marks]
7.
Problem Solving & Reasoning: A garden is in the shape of a square with a perimeter of 48 meters. The gardener wants to plant flowers along the border. How many meters of border will they plant?
[4 marks]
8.
A square tile measures 12 cm on each side. How many such tiles are needed to cover a rectangular floor measuring 6 meters by 8 meters?
[4 marks]
9.
Challenge & Extension: If the diagonal of a square is 10 units, what is the length of each side? (Use Pythagoras theorem)
[4 marks]
10.
Error Analysis: A student claims that all squares are rectangles, but not all rectangles are squares. Is this correct? Explain your answer.
[3 marks]
11.
Mixed Review: On the grid, draw a square with a side length of 4 units. Then, draw a larger square with double this side length. Label both shapes.
[4 marks]

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Details

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