Finding Next Terms: Real-world Applications in Music & Sound
Mathematics
Grade 8
11 questions
~22 mins
1 views0 downloads
About This Worksheet
A worksheet exploring how to find the next terms in arithmetic sequences through real-world music and sound scenarios, emphasizing pattern recognition and algebraic reasoning.
Worksheet Preview
Full preview • 11 questions
Finding Next Terms: Real-world Applications in Music & Sound
Subject: MathematicsGrade: Grade 8
Name:
Date:
TeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizz
Untitled Worksheet
Grade Grade 8
A
Practice Questions
Answer all questions. Show your working in the grid spaces provided.
1.
An electronic keyboard produces sounds with frequencies that increase by 10 Hz each time. If the first note is 440 Hz, what is the frequency of the 5th note?
[2 marks]2.
A sound engineer records a series of echoes where each echo returns 5 milliseconds later than the previous one. If the first echo returns after 20 ms, what is the delay of the 7th echo?
[2 marks]3.
In a musical scale, each successive note is 2 semitones higher than the previous one. If the starting note is C, what is the note 8 steps above it?
[2 marks]4.
Calculate the next term in the sequence: 330 Hz, 340 Hz, 350 Hz, ...
[2 marks]5.
A speaker emits sound waves that increase in frequency by 15 Hz every second. If the starting frequency is 300 Hz, what will be the frequency after 6 seconds?
[2 marks]6.
A musician starts a sequence of notes with frequency 220 Hz, increasing each by 4 Hz. What is the 10th term in this sequence?
[2 marks]7.
A sound wave's amplitude decreases by 3 units each time it is reflected in a concert hall. If the initial amplitude is 18 units, what is the amplitude after the 5th reflection?
[2 marks]8.
A concert sound system plays notes starting at 440 Hz, increasing by 8 Hz each time. What is the 12th note's frequency?
[2 marks]9.
Construct a sequence in which each term increases by 5, starting from 100. What is the 15th term?
[2 marks]10.
A sound engineer notices harmonic frequencies increasing by 12 Hz. If the first harmonic is at 144 Hz, find the 10th harmonic frequency.
[2 marks]11.
Error Analysis: A student writes the sequence 200 Hz, 210 Hz, 220 Hz, 230 Hz, but then claims the next term is 250 Hz. Identify the mistake and provide the correct next term.
[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