Succeed with maths – Part 1
Succeed with maths – Part 1

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Succeed with maths – Part 1

4 Facts and figures

When trying to cement these ideas, there is no substitute for practice. So before you finish for this week and move onto the weekly quiz, have a go at this final activity, which brings some of these ideas together. You can also try out your new skills when you see percentages, and data that can be turned into percentages in your everyday life!

Activity 4 Commonwealth facts and figures

Timing: Allow approximately 10 minutes

The Commonwealth in 2014 represented about a third of the total global population. The global population is constantly growing, but an estimate of this in 2014 was around 7.23 billion (7 230 000 000) people. Bangladesh, a Commonwealth country, has an estimated population of 160 000 000.

Work out what percentage (to one decimal place) of the Commonwealth population lives in Bangladesh. Show this as a decimal and a fraction as well.

Remember to click on the ‘Reveal comment’ button if you would like a hint to get you started.

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Comment

There is quite a bit of information contained in the question. You may find it helps to start by writing this all down in a list, as well as making a note of what you need to work out. Then you can think about where you need to start.

Answer

The information that you have is as follows:

  • Commonwealth = one third of world population.
  • World population = 7 230 000 000.
  • Population Bangladesh = 160 000 000.

You want to find the following:

  1. The percentage of the Commonwealth that lives in Bangladesh.
  2. Show this as a decimal and a fraction as well.

The first thing you need to do is work out the population of the Commonwealth – without that you can’t answer the question asked.

Population of Commonwealth = one third of the population of the world

multiline equation line 1 equation left hand side equals right hand side one divided by three multiplication 723 000 000 line 2 equals two 410 000 000

Now you have the information, you need to answer the question.

Percentage of Commonwealth living in Bangladesh = 160 000 000 divided by two 410 000 000 multiplication 100 percent equals 6.6 percent (to 1 decimal place)

To convert this to a decimal, you just need to divide by 100.

6.6 % ÷ 100 = 0.066

To convert to a fraction, write as a fraction with 100 as the denominator.

This gives 6.6 divided by 100. You wouldn’t usually show a fraction with a decimal number, but by multiplying the top and bottom by 10 you can resolve this issue, to give:

66 divided by 1000

You can simplify this by dividing the numerator and denominator by 2, to give:

33 divided by 500

So the final answer is that 6.6% of the population of the Commonwealth live in Bangladesh. This can be represented as 0.066 as a decimal and 33 divided by 500 as a fraction.

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