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ARTICLES, DETERMINERS AND QUANTIFIERS · UNIT 13

A World of Inequality

Fractions, percentages, proportions, ratios and comparisons

The situation

We often hear statistics about poverty, education, population growth and health. But what do the figures actually mean? How can we compare countries and groups of people accurately? And what happens when a population grows faster than the services it needs?

In this unit, you will interpret real statistics, express them in different ways and consider some of their consequences. The figures are not just numbers: they describe people's opportunities and living conditions.

Your task: learn to describe parts of a whole, compare quantities, explain changes and distinguish between a number, a proportion and a rate.

The statistics in this unit come from international organisations and are dated. They refer to different years and use different definitions; do not assume that every measure is directly comparable.

1. The language of fractions and proportions

Fractions

A fraction describes a part of a whole.

1/2 a half

1/3 a third

1/4 a quarter

1/5 a fifth

2/3 two thirds

3/4 three quarters

3/5 three fifths

1 in 6 one in six

We can use of to say what the fraction refers to:

Percentages

Per cent means “out of every hundred”. We write 25% and say “twenty-five per cent”.

Proportions and shares

Other useful expressions include:

Compare: “A quarter of people…” refers to people in general. “A quarter of the people in this village…” refers to a particular group. The definite article identifies the group.

2. Who owns the world's income and wealth?

The World Inequality Report 2026 estimates the distribution of global income and wealth in 2025. The figures show that income and wealth are not distributed in the same way.

GroupShare of global incomeShare of global wealth
Richest 10%53%75%
Middle 40%38%23%
Poorest 50%8%2%

Figures are rounded. Income is not the same as wealth: income is money received over a period; wealth is the value of assets owned. The rounded income shares total 99%.

We can describe the figures in several ways:

Think about it: The richest tenth receives more than half of global income, but owns three quarters of global wealth. Why might wealth be even more concentrated than income?

3. Basic necessities: water and sanitation

Access to safe water and sanitation has improved, but billions of people still lack services that many others take for granted.

74% Safely managed drinking water

About three quarters of the world's population had safely managed drinking water in 2024.

58% Safely managed sanitation

Just under three fifths of the world's population had safely managed sanitation in 2024.

Notice the different expressions:

“Safely managed” is a specific service standard. It does not mean that everyone outside this category has no water or no toilet at all.

4. Education: who gets the chance to learn?

UNESCO's 2026 Global Education Monitoring material reports that 273 million children and young people were out of school in 2024. That is about one in six of the relevant age groups worldwide.

Level completed on timeWorldwideLow-income countries
Primary88%60%
Lower secondary78%37%
Upper secondary61%20%

“Completed on time” is important: some learners finish later. UNESCO estimates that eventual completion rates are higher when late completion is included.

Literacy

Be precise: school enrolment, attendance, completion and learning are different measures. A child may be enrolled but not attend regularly; completing school does not automatically mean achieving strong literacy or numeracy skills.

5. Population growth: a changing world

Algeria: a personal point of reference

A teacher who worked in Algeria in 1973 remembers the population being put at about 12 million. The World Bank's historical population series gives an estimate of about 14.8 million for that year. Its 2025 estimate is about 47.4 million.

14.8mAlgeria, 1973
47.4mAlgeria, 2025

On this consistent statistical series, Algeria's population is now a little more than three times its 1973 size. The remembered figure and the later historical estimate are not identical, but both illustrate the scale of change.

Population projections in selected African countries

The UN's 2024 population projections illustrate the rapid growth expected in several countries. These are projections, not certainties.

Country2024 population2054 projectionApproximate change
Niger26.6 million56.1 millionMore than double
Uganda49.3 million89.9 millionAbout 1.8 times
Nigeria230.3 million374.1 millionAbout 1.6 times

Doubling time

Doubling time is the approximate time it takes for a population to become twice as large, if its annual growth rate remains constant.

Annual growth rateApproximate doubling time
1%70 years
2%35 years
3%23 years

This is the Rule of 70: divide 70 by the annual growth rate to estimate the doubling time. It is a useful approximation, not a precise forecast.

6. What happens when a population doubles?

Imagine a town with 20,000 people. Over a period of years, its population doubles to 40,000. What happens to the services the town needs?

Service or resourceBeforeAfter, if the same provision per person is maintained
Population20,00040,000
School places2,0004,000
Hospital beds100200
Homes5,00010,000
Jobs8,00016,000

These are imaginary figures to illustrate proportional change. They assume that the age structure and level of provision per person remain the same.

If one classroom holds 40 children, and the number of children doubles, the town may need a second classroom of the same size. It will also need more teachers, desks, books and other resources.

But population growth does not automatically double every need

The number of school-age children may not rise at exactly the same rate as the total population. The age structure matters. Better buildings, technology, organisation and productivity can also change how many services are needed.

7. Doctors and the movement of skilled workers

Countries experiencing rapid population growth need more doctors, nurses and other health workers. However, some doctors trained in lower-income countries move to wealthier countries.

They may be attracted by higher salaries, better-equipped hospitals, specialist training and improved career opportunities. Their decisions are understandable, but large-scale migration can make shortages more serious in the countries they leave.

The World Health Organization warns that continued large-scale migration from countries with serious health-workforce shortages can widen inequalities in access to healthcare. It supports fair recruitment and cooperation between countries.

There are different perspectives: doctors have the right to seek work and professional opportunities. Countries that train them may lose valuable staff. Receiving countries benefit from their skills. Money sent home and professional links can also benefit countries of origin.

Useful statistical language:

8. Numbers, proportions and rates

These three ideas are easy to confuse:

Compare these descriptions:

Percentage points: if a proportion rises from 20% to 30%, it rises by 10 percentage points. The percentage increase is 50%, because 10 is half of the original 20.

9. Practice 1 – Fractions and percentages

Choose the expression with the same meaning.

1. What is another way of saying 25%?
2. What is another way of saying 75%?
3. Which expression is closest to 17%?
4. What fraction is 40%?
5. How could you describe 53%?
6. How could you describe 8%?

10. Practice 2 – Articles and proportions

Choose the correct expression to complete each sentence.

1. A quarter of ___ population has no access to safely managed drinking water.
2. A quarter of ___ people in the world lack safely managed drinking water.
3. Most of ___ children in this village attend primary school.
4. Three quarters of ___ children worldwide complete primary school.
5. The richest 10% own three quarters of ___ world's wealth.
6. Half of ___ water used in the village comes from wells.

11. Practice 3 – Ratios and comparisons

Choose the correct expression.

1. If 2,000 children need school places and the number doubles, 4,000 children need ___ places.
2. If a town's population doubles, it may need ___ water, assuming the same use per person.
3. Algeria's 2025 population is approximately ___ as its 1973 population, using the figures in this unit.
4. A proportion rises from 20% to 30%. The increase is ___.
5. A proportion rises from 20% to 30%. The relative percentage increase is ___.
6. If the population grows but the number of doctors stays the same, there are ___ doctors per person.

12. Practice 4 – Interpreting statistics

Read the figures in the unit and choose the best interpretation.

1. What do the global income figures tell us?
2. Approximately what proportion of children and young people worldwide were out of school in 2024?
3. Which statement is correct about low-income countries?
4. What does the UN projection suggest about Niger?
5. What proportion of adults unable to read and write were women?

13. Practice 5 – Population growth and its consequences

Choose the best completion.

1. If the number of school-age children doubles, the town may need ___ school places.
2. A town's population rises from 30,000 to 40,000. The increase is ___ of the original population.
3. At a constant annual growth rate of 2%, the approximate doubling time is ___.
4. If the population grows but the number of doctors does not, the country has ___.
5. Why might the need for school places not double when the total population doubles?

14. Reading – A town grows up

A town grows up

Twenty-five years ago, the town of Kitala had a population of 20,000. There was one primary school with ten classrooms, a small health centre and a weekly market. Most families lived in the older part of the town, and many people worked in agriculture.

Today, the population is approaching 40,000. The town has spread into the surrounding countryside. The original school has been extended, but it is still not large enough for all the children. A second school has opened, and the health centre has become a small hospital. The market is busier, and new shops and workshops have appeared.

Growth has brought opportunities as well as difficulties. There are more customers for local businesses, and more young people are looking for work. However, the town needs more houses, better roads and a more reliable water supply. Some families still live in crowded homes, and not all children can attend secondary school.

The town council has a difficult task. It must decide how to divide a limited budget. Should it build another school, improve the water supply, repair the roads or expand the hospital? Each project is important, but the council cannot afford to do everything at once.

The mayor says that population growth is not automatically a problem. “A larger population can bring more workers, ideas and customers,” she explains. “But we must invest in services and create opportunities. If the town grows without planning, the benefits will not be shared equally.”

1. How has the population changed?
2. What problem does the original school still have?
3. What opportunities has growth brought?
4. Why must the town council make choices?
5. What is the mayor's main point?

15. Writing and discussion

Writing task: How unequal is our world?

Write a short report using at least five statistics from this unit. Include:

Useful opening:

“The statistics show that opportunities and resources are not shared equally. For example, the richest 10% of the world's population receive…”

Discussion

  1. Which statistic in this unit surprised you most? Why?
  2. What should a rapidly growing town provide first: schools, hospitals, housing, jobs or clean water?
  3. How can a country encourage doctors and other skilled workers to stay?
  4. Can population growth create economic opportunities as well as pressure on services?
  5. Which statistics would you like to know about your own country?

16. Review