4+ Terms: Real-world Applications in Music & Sound
Mathematics
GCSE Foundation
14 questions
~28 mins
1 views0 downloads
About This Worksheet
A worksheet focusing on collecting like terms with 4 or more terms, applied within music and sound contexts, suitable for GCSE Foundation students.
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4+ Terms: Real-world Applications in Music & Sound
Subject: MathematicsGrade: GCSE Foundation
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Untitled Worksheet
Grade GCSE Foundation
A
Fluency & Practice
Simplify the following expressions by collecting like terms. Show your working in the grid spaces provided.
1.
Simplify: 3x + 2x + 5y + 4x
[2 marks]2.
Simplify: 6a - 3b + 2a + 4b
[2 marks]3.
Simplify: 7m + 4n - 2m + 3n + 5m
[2 marks]4.
Simplify: 2x + 3y + 4x + 2y
[2 marks]B
Problem Solving & Reasoning
Work through these multi-step problems involving collecting like terms in musical contexts.
1.
A sound engineer adjusts the volume levels for different channels: 3dB + 2dB + 5dB + 4dB. Simplify the total adjustment. How much overall increase or decrease is there?
[3 marks]2.
A musician combines notes with frequencies expressed as 440Hz + 15Hz + 10Hz + 5Hz. Simplify the total frequency. What is the combined frequency?
[3 marks]C
Real-world Applications
Apply collecting like terms to sound and music scenarios involving multiple components.
1.
A concert sound system has speakers with power ratings: 100W + 150W + 200W + 50W. Simplify the total power output.
[2 marks]2.
A musician's mixing board has volume levels set at 2dB + 3dB + 4dB + 1dB. Find the total volume increase.
[2 marks]D
Challenge & Extension
Tackle these higher difficulty problems involving complex expressions with 4+ like terms.
1.
Simplify: 5x + 3y - 2x + 4y + 6x - y.
[3 marks]2.
A DJ adjusts the volume levels across four tracks: 4dB + 3dB + 2dB + 5dB. If the engineer wants to increase the total volume by 8dB, how much should each track be increased assuming equal increase?
[3 marks]E
Mixed Review
Solve these questions involving various types of expressions with 4 or more like terms.
1.
Simplify: 8a + 2b - 3a + 4b + 10a + b.
[2 marks]2.
Express the total sound intensity for two speakers with intensities 40dB + 45dB + 50dB + 55dB.
[2 marks]F
Error Analysis
Identify and correct the mistake in simplifying the following expressions.
1.
A student simplifies 3x + 2x + 5y + 4x as 9x + 5y. Find the mistake and correct the expression.
[3 marks]2.
A student adds 6a - 3b + 2a + 4b as 8a + 1b, but mistakenly subtracts the coefficients. Identify the error and provide the correct simplified form.
[3 marks]Quick Actions
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Details
- Created
- 1/1/2026
- Updated
- 1/1/2026
- Type
- worksheet