GCSE Maths: Growth, Decay and Iteration – Revision Quiz

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About this quiz

This GCSE Maths: Growth, Decay and Iteration – Revision Quiz quiz contains 10 multiple choice questions designed to help you revise and test your GCSE Mathematics knowledge. Select an answer for each question and click “Submit Answer” to see instant feedback. Take your time and try to score as high as possible!

Description

Solve problems involving exponential growth, decay and use iterative methods to find approximate solutions.

Progress0 / 10 answered
1

Question 1 of 10

A population of 5000 grows by 4% per year. What is the population after 3 years? (nearest whole number)
2

Question 2 of 10

A car worth £18,000 depreciates by 15% per year. What is it worth after 2 years? (nearest £)
3

Question 3 of 10

The iterative formula xₙ₊₁ = (xₙ + 5/xₙ)/2 with x₀ = 2 gives x₁ =
4

Question 4 of 10

A radioactive substance has a half-life of 10 years. Starting with 200 g, how much remains after 30 years?
5

Question 5 of 10

Which formula models exponential decay?
6

Question 6 of 10

An investment of £2000 at 5% compound interest per annum is worth after n years:
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Question 7 of 10

Using the formula xₙ₊₁ = √(10 − 2xₙ), starting with x₀ = 1, find x₁ to 3 d.p.
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Question 8 of 10

A bacteria colony doubles every 20 minutes. Starting with 100, how many after 1 hour?
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Question 9 of 10

The equation x³ + 2x = 7 can be rearranged to x = ³√(7 − 2x). This is useful for:
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Question 10 of 10

A town has population 50,000 declining at 2% per year. After how many complete years will it first drop below 45,000?

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