3+ Significant Figures: Problem Solving & Reasoning
Mathematics
GCSE Higher
17 questions
~34 mins
1 views0 downloads
About This Worksheet
A worksheet focusing on applying and reasoning with numbers rounded to 3 or more significant figures. Suitable for GCSE Higher students working on advanced rounding skills.
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Full preview • 17 questions
3+ Significant Figures: Problem Solving & Reasoning
Subject: MathematicsGrade: GCSE Higher
Name:
Date:
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Untitled Worksheet
Grade GCSE Higher
A
Fluency & Practice
Answer all questions. Show your working in the grid spaces provided.
1.
Round 0.0056789123 to 4 significant figures.
[2 marks]2.
Express 123456.789 in scientific notation rounded to 4 significant figures.
[2 marks]3.
Round 98765.4321 to 3 significant figures.
[2 marks]4.
Express 0.000456789 in scientific notation rounded to 3 significant figures.
[2 marks]B
Progression & Application
Answer all questions. Show your working in the grid spaces provided.
1.
Calculate the sum of 12345.6789 and 9876.5432, rounded to 4 significant figures.
[3 marks]2.
A scientist measures a sample mass as 0.000123456 grams. Round this to 3 significant figures for reporting.
[2 marks]3.
Express 7.890123 × 10^6 in scientific notation rounded to 4 significant figures.
[2 marks]4.
A car's speed is 123.456 km/h. Round to 3 significant figures.
[2 marks]5.
Construct a triangle with side lengths of 3.4567 m, 4.5678 m, and 5.6789 m, each rounded to 4 significant figures.
[3 marks]C
Real-world Applications
Answer all questions. Show your working in the grid spaces provided.
1.
A stock price is listed as $1234.56789. Round to 3 significant figures for a report.
[2 marks]2.
A researcher records a chemical concentration as 0.000987654321 mol/L. Round to 3 significant figures.
[2 marks]3.
The population of a city is 1,234,567.89. Round to 4 significant figures for presentation.
[2 marks]D
Challenge & Extension
Answer all questions. Show your working in the grid spaces provided.
1.
A calculation yields 0.000123456789. Round to 3 significant figures and express in scientific notation.
[3 marks]2.
Estimate the value of π to 4 significant figures and justify your approximation.
[4 marks]E
Mixed Review & Error Analysis
Answer all questions. Show your working in the grid spaces provided.
1.
A measurement of 0.0078912 is rounded to 3 significant figures. Is this correct? If not, correct it.
[2 marks]2.
Identify the mistake: Rounding 12345.6789 to 4 significant figures gives 12350.
[3 marks]3.
Calculate 56789.12345 rounded to 3 significant figures.
[2 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.
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Details
- Created
- 1/1/2026
- Updated
- 1/1/2026
- Type
- worksheet