The table shows the populations of the four countries of the UK in 2012 - OCR - GCSE Maths - Question 1 - 2017 - Paper 1

To find the total population of Wales, Scotland, and Northern Ireland, we need to add their populations together:

• Wales: $3.07 imes 10^6 = 3,070,000$
• Scotland: $5.31 imes 10^6 = 5,310,000$
• Northern Ireland: $1.82 imes 10^6 = 1,820,000$

Now, summing these values:

$3,070,000 + 5,310,000 + 1,820,000 = 10,200,000$

Now converting this sum into standard form:

$1.02 imes 10^7$

First, we need to determine the population of the UK in 2012. Using the population of England as a rough estimate, we have:

• UK Population (2012) ≈ England's population = $53.5 imes 10^7$ (approximate)

Now, calculate the increase:

New Population (2037): 73.3 million = $73.3 imes 10^6$

Increase in Population:

$73.3 imes 10^6 - 53.5 imes 10^7 = 73.3 imes 10^6 - 53.5 imes 10^6 = 19.8 imes 10^6$

To find the percentage increase:

ext{Percentage Increase} = rac{ ext{Increase}}{ ext{Original}} imes 100

ext{Percentage Increase} = rac{19.8 imes 10^6}{53.5 imes 10^6} imes 100 \\ = 36.97 ext{%}

Rounding this to 2 significant figures, we get:

37%