Lengths in Music & Sound: Real-world Applications
Mathematics
Grade 6
15 questions
~30 mins
1 views0 downloads
About This Worksheet
A worksheet exploring lengths related to music and sound, focusing on adding decimals to solve real-world problems involving lengths.
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Lengths in Music & Sound: Real-world Applications
Subject: MathematicsGrade: Grade 6
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Untitled Worksheet
Grade Grade 6
A
Fluency & Practice
Answer all questions. Show your working in the grid spaces provided.
1.
Add the lengths of two guitar strings: 2.5 m and 3.4 m.
[2 marks]2.
Calculate the total length when a microphone cable of 1.2 m is combined with a stand length of 0.8 m.
[2 marks]3.
A piano wire is 4.3 m long. If a technician adds 0.7 m for tuning adjustments, what is the total length?
[2 marks]4.
Add 1.9 m and 2.1 m. What is the total length?
[2 marks]B
Problem Solving & Reasoning
Solve the problems step-by-step. Show your reasoning.
1.
A sound engineer measures the length of a speaker cable as 3.45 m. He then adds a new section of cable measuring 1.55 m. What is the total length of the cable used?
[3 marks]2.
A music studio has two microphones with cable lengths of 2.75 m and 1.65 m. If a technician adds a 0.80 m extension cable to both, what is the combined total length of all cables?
[3 marks]C
Real-world Applications
Apply your knowledge to real-world scenarios involving music and sound equipment.
1.
A violin string is 0.75 m long. A technician shortens it by 0.25 m for a different tuning. What is the new length of the string?
[2 marks]2.
A speaker's cable measures 4.2 m. During setup, an extra 0.8 m is added to reach a new length. What is the total length now?
[2 marks]3.
A recording studio has two cables measuring 1.35 m and 2.45 m. If a new cable of 0.7 m is added to each, what is the combined length?
[2 marks]D
Challenge & Extension
Tackle these more difficult problems involving lengths.
1.
A set of guitar strings has lengths 1.25 m, 2.35 m, and 3.45 m. If a musician replaces one string with a longer one measuring 4.15 m, what is the new total length of all strings?
[3 marks]2.
A concert hall's sound diffuser panels are each 1.75 m long. If 12 panels are installed, but 2 are cut to 1.50 m, what is the total length of all panels after installation?
[3 marks]E
Mixed Review
Answer with a variety of question types involving lengths.
1.
Plot the graph of y=2x for x values 0, 1, 2, and 3 on the grid.
[2 marks]2.
Construct a triangle with side lengths 3.2 m, 4.5 m, and 5.1 m. Draw on the grid.
[3 marks]F
Error Analysis
Identify and correct the common mistake in each problem.
1.
A student adds 2.5 m and 3.4 m and gets 6.9 m. Identify the mistake and provide the correct answer.
[2 marks]2.
A student combines lengths 1.2 m and 0.8 m and writes 2.0 m. Is this correct? If not, what is the correct total?
[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.
- • 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