Scientific Measurements: Real-world Applications

Mathematics
Grade 7
14 questions
~28 mins
1 views0 downloads

About This Worksheet

A worksheet focusing on Rounding to Decimal Places (1dp) within the context of scientific measurements related to music and sound. Students will practice procedures, problem-solving, and real-world applications.

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Scientific Measurements: Real-world Applications

Subject: MathematicsGrade: Grade 7
Name:
Date:
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Untitled Worksheet

Grade Grade 7
A

Fluency & Practice

Answer all questions. Show your working in the grid spaces provided.
1.
Round 0.4567 seconds to 1 decimal place.
[1 mark]
2.
A sound wave has a frequency of 440.987 Hz. Round this to 1 decimal place.
[1 mark]
3.
Convert 3.14159 minutes of music recording time to 1 decimal place.
[1 mark]
4.
A speaker's sound level is measured at 75.678 dB. Round to 1 decimal place.
[1 mark]
B

Problem Solving & Reasoning

Answer the following multi-step questions with detailed working.
1.
A music track lasts 4.987 minutes. If a recording device measures time to 1 decimal place, what is the recorded time?
[2 marks]
2.
An audio signal has a frequency of 523.456 Hz. After rounding to 1 decimal place, what is the frequency? Explain how rounding affects the precision of the measurement.
[3 marks]
C

Real-world Applications

Solve these questions based on the context of sound and music measurements.
1.
A concert hall's acoustic measurement shows a reverberation time of 1.245 seconds. Round this to 1 decimal place for reporting purposes.
[1 mark]
2.
A microphone records a sound intensity level of 85.987 decibels during a concert. Round this to 1 decimal place.
[1 mark]
3.
A tuning fork vibrates at 256.789 Hz. Round to 1 decimal place and explain how this affects its use in tuning musical instruments.
[3 marks]
D

Challenge & Extension

Attempt these higher-difficulty questions.
1.
A recording of a piano note shows a duration of 2.499 seconds. Round to 1 decimal place. Why might rounding be significant in digital audio editing?
[2 marks]
2.
An audio engineer measures the sound level at 78.6543 dB. After rounding to 1 decimal place, what is the reported value? Discuss the importance of precision in sound engineering.
[3 marks]
E

Mixed Review

Answer these questions to review key concepts.
1.
Round 0.9999 seconds to 1 decimal place.
[1 mark]
2.
A sound wave has a frequency of 987.654 Hz. Round to 1 decimal place.
[1 mark]
F

Error Analysis

Identify and correct the common mistake in rounding.
1.
A student rounds 0.4567 to 0.4 instead of 0.5. What is the common mistake here? Correct the rounding and explain.
[2 marks]

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Details

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