3+ sf: Challenge & Extension
Mathematics
Grade 8
14 questions
~28 mins
1 views0 downloads
About This Worksheet
A worksheet designed to challenge Grade 8 students on rounding numbers to 3 or more significant figures, including procedural mastery, real-world applications, and extension problems.
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Full preview • 14 questions
3+ sf: Challenge & Extension
Subject: MathematicsGrade: Grade 8
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Date:
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Untitled Worksheet
Grade Grade 8
A
Fluency & Practice
Answer the following questions to practice rounding numbers to 3 or more significant figures. Show your working in the grid spaces provided.
1.
Round 0.00456789 to 4 significant figures.
[2 marks]2.
Round 1234567 to 5 significant figures.
[2 marks]3.
Express 0.0009876543 rounded to 3 significant figures.
[2 marks]4.
Round 9.87654321 to 6 significant figures.
[2 marks]B
Problem Solving & Reasoning
Solve these multi-step problems involving rounding to 3+ significant figures. Explain your reasoning where appropriate.
1.
A scientist measures a sample and records its mass as 0.000356789 grams. Round this measurement to 4 significant figures. Why is this level of precision appropriate?
[3 marks]2.
Calculate the value of 7.8912345 × 3.14159265, rounded to 4 significant figures. Show your working.
[4 marks]C
Real-world Applications
Apply your knowledge of significant figures to these real-world scenarios.
1.
A car's fuel efficiency is measured as 15.789 miles per gallon. Round this to 4 significant figures for reporting. Why might more precise figures be necessary in scientific data?
[3 marks]2.
A weather station records the temperature as 23.456789°C. Round to 4 significant figures for daily reporting.
[2 marks]D
Challenge & Extension
Attempt these advanced problems that extend your understanding of significant figures.
1.
Calculate the volume of a sphere with radius 7.123456789 cm. Use π ≈ 3.1416. Round your final answer to 4 significant figures. Show your work.
[4 marks]2.
A pharmaceutical compound weighs 0.000123456789 grams. Round to 5 significant figures. Why is such precision important in pharmacology?
[3 marks]E
Mixed Review
Answer these varied questions to review your understanding of significant figures.
1.
Round 98765.4321 to 3 significant figures.
[2 marks]2.
Express 0.0000009876 rounded to 4 significant figures.
[2 marks]F
Error Analysis
These questions focus on common mistakes in rounding to significant figures. Identify and correct the errors.
1.
A student rounds 6.78945 to 3 significant figures and writes 6.78. Is this correct? Explain and correct if necessary.
[3 marks]2.
A researcher records 0.000456789 and reports it as 0.000457. Is this accurate? Why or why not?
[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