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

To calculate the total population of Wales, Scotland, and Northern Ireland, we use the populations provided:

• Wales: $3.07 \times 10^6$
• Scotland: $5.31 \times 10^6$
• Northern Ireland: $1.82 \times 10^6$

We add these values together:

$\text{Total} = (3.07 \times 10^6) + (5.31 \times 10^6) + (1.82 \times 10^6)$

Calculating this gives:

$\text{Total} = 10.20 \times 10^6$

We can convert this to standard form:

$10.20 \times 10^6 = 1.02 \times 10^7$

Therefore, the total population of Wales, Scotland, and Northern Ireland is $1.02 \times 10^7$.

The population of the UK in 2012 is the sum of the populations of all countries, which is:

$\text{UK Population}_\text{2012} = (53.5 \times 10^6)$

The predicted population in 2037 is given as 73.3 million:

$\text{UK Population}_\text{2037} = 73.3 \times 10^6$

To find the predicted percentage increase, we first calculate the increase in population:

$\text{Increase} = \text{UK Population}_\text{2037} - \text{UK Population}_\text{2012} = (73.3 \times 10^6) - (53.5 \times 10^6) = 19.8 \times 10^6$

Next, we calculate the percentage increase:

$\text{Percentage Increase} = \left(\frac{\text{Increase}}{\text{UK Population}_\text{2012}}\right) \times 100 = \left(\frac{19.8 \times 10^6}{53.5 \times 10^6}\right) \times 100$

Calculating this gives:

$\text{Percentage Increase} \approx 37.0\%$

Rounding to 2 significant figures, the predicted percentage increase is approximately 37%.