Estimating: Mixed Review
Mathematics
GCSE Foundation
15 questions
~30 mins
1 views0 downloads
About This Worksheet
A worksheet covering estimation of square roots, including procedural practice, problem solving, real-world applications, and extension challenges for GCSE Foundation students.
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Full preview • 15 questions
Estimating: Mixed Review
Subject: MathematicsGrade: GCSE Foundation
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Date:
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Untitled Worksheet
Grade GCSE Foundation
A
Fluency & Practice
Answer all questions. Show your working in the grid spaces provided.
1.
Estimate the value of √50 by comparing it with nearest perfect squares.
[2 marks]2.
Calculate an approximate value for √18.
[2 marks]3.
Estimate √85 and justify your answer.
[3 marks]4.
Calculate √72 approximately using perfect squares.
[2 marks]B
Problem Solving & Reasoning
Answer all questions clearly, showing your reasoning.
1.
A square has an area of approximately 200 cm². Estimate the length of its sides.
[4 marks]2.
If √x ≈ 8, estimate the value of x and explain how you arrived at your answer.
[3 marks]3.
Estimate √125 and discuss the potential error in your approximation.
[3 marks]C
Real-world Applications
Use estimation to solve the following scenarios.
1.
A photographer needs to estimate the diagonal length of a square photo print measuring 24 inches on each side. Approximate the diagonal length.
[4 marks]2.
A square garden has an area of about 200 square meters. Estimate the length of one side.
[3 marks]D
Challenge & Extension
Attempt these more difficult problems; show your reasoning.
1.
Estimate √500 without a calculator and explain your method.
[4 marks]2.
A square has a side length that is approximately √250. Estimate the side length and discuss possible errors.
[3 marks]E
Mixed Review
Answer all questions to consolidate your estimation skills.
1.
Estimate √32 and √72, then compare which is larger.
[2 marks]2.
Estimate the value of √150 and describe your approach.
[3 marks]3.
A square has a perimeter of approximately 48 meters. Estimate the length of each side.
[3 marks]F
Error Analysis
Identify and correct the common mistake in the following estimation.
1.
A student estimates √45 as 7.5, claiming it's the square root of 50. Is this correct? Explain the mistake and provide the correct estimate.
[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