Recognizing: Challenge & Extension
Mathematics
GCSE Foundation
14 questions
~28 mins
1 views0 downloads
About This Worksheet
A worksheet focusing on recognizing square numbers, designed for GCSE Foundation students to develop procedural skills and problem-solving abilities.
Worksheet Preview
Full preview • 14 questions
Recognizing: Challenge & Extension
Subject: MathematicsGrade: GCSE Foundation
Name:
Date:
TeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizz
Untitled Worksheet
Grade GCSE Foundation
A
Practice Questions
Answer all questions. Show your working in the grid spaces provided.
1.
Calculate the value of 12 squared.
[2 marks]2.
List all perfect squares between 1 and 100.
[3 marks]3.
What is the next perfect square after 144?
[2 marks]B
Fluency & Practice
Answer each question carefully, focusing on recognizing square numbers quickly.
1.
Determine whether 121 is a perfect square.
[1 mark]AYes
BNo
2.
Calculate 15 squared.
[2 marks]3.
Identify which of these are perfect squares: 50, 64, 81, 90.
[2 marks]C
Problem Solving & Reasoning
Work through the problems step-by-step to explain your reasoning.
1.
A square garden has an area of 225 square meters. What is the length of one side?
[3 marks]2.
Explain why 50 is not a perfect square, using prime factorization.
[3 marks]D
Real-world Applications
Apply your understanding of square numbers to real-life contexts.
1.
A computer screen displays a resolution of 1920 by 1080 pixels. Is the total number of pixels a perfect square? Show your working.
[4 marks]E
Challenge & Extension
Attempt these more difficult problems to extend your understanding.
1.
Find the smallest perfect square greater than 200 but less than 300.
[3 marks]2.
Construct a rectangle on the grid with sides that are both perfect squares and whose area is a perfect square.
[4 marks]F
Mixed Review
Solve a variety of questions to review your understanding.
1.
Is 144 a perfect square? Show your answer.
[2 marks]2.
Write the first five square numbers.
[2 marks]G
Error Analysis
Identify the mistake in each statement and correct it.
1.
A student claims that 121 is not a perfect square because its digits add up to 4. Is this correct? Explain and correct if needed.
[3 marks]Quick Actions
What is Remix?
Create a new worksheet based on this one. Change the grade level, topic, number of questions, or difficulty - then generate a fresh version.
- • Change grade level (Grade 6 → Grade 7)
- • Swap topics (Harry Potter → Macbeth)
- • Add more questions (10 → 15)
- • Adjust difficulty
Details
- Created
- 1/1/2026
- Updated
- 1/1/2026
- Type
- worksheet