Recognizing: Real-world Applications of Square Numbers

Mathematics
GCSE Higher
11 questions
~22 mins
1 views0 downloads

About This Worksheet

A worksheet focusing on recognizing square numbers through real-world contexts and mathematical procedures for GCSE Higher students.

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Full preview • 11 questions

Recognizing: Real-world Applications of Square Numbers

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 square of 7.
[2 marks]
2.
What is the square number closest to 80?
[2 marks]
3.
Construct a square with side length 5 units using the grid.
[3 marks]
4.
Calculate 12 squared.
[2 marks]
5.
Identify which of these numbers are perfect squares: 36, 50, 81, 100.
[2 marks]
6.
A square garden has an area of 64 square meters. What is the length of each side?
[2 marks]
7.
If the side of a square is doubled, how does the area change?
[3 marks]
8.
A rectangle has a length of 4 units and a width of 3 units. Which number is a perfect square and relates to its dimensions?
[2 marks]
9.
Solve for x: x² = 49.
[2 marks]
10.
A square-shaped tile has an area of 144 cm². If the tile is broken into smaller square tiles each of area 36 cm², how many smaller tiles are formed?
[3 marks]
11.
Identify and correct the mistake: Student says 11² = 121, but then claims 11 is not a perfect square.
[3 marks]

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Details

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