AP Human Geography
2 calculation skills

Human Geo math practice

Every calculation the Human Geo exam asks for, with new numbers every time. Type the answer rather than picking from four options — producing a number is a different skill from eliminating three wrong ones, and only one of them is what the exam scores.

Arithmetic and physiological density

Relationship
arithmetic = people / total area · physiological = people / arable area

Physiological density uses only farmable land, so it is always the larger number and is the better measure of pressure on food supply. Egypt is the standard example of a huge gap between the two.

A country has 21,400,000 people and 234,000 km² of land, of which 5% is arable. Calculate its physiological density in people per km² of arable land.

people/km²

Every skill in this set

Arithmetic and physiological densityPopulation & Migration Patterns
arithmetic = people / total area · physiological = people / arable area
Physiological density uses only farmable land, so it is always the larger number and is the better measure of pressure on food supply. Egypt is the standard example of a huge gap between the two.
Doubling timePopulation & Migration Patterns
doubling time = 70 / growth rate (%)
Used to compare demographic transition stages. A country in stage 2 with 3% growth doubles in about 23 years; one in stage 4 near 0.2% takes centuries.

Common questions

What math is on the AP Human Geography exam?

2 distinct calculations: arithmetic and physiological density, doubling time. Each one appears on the exam's formula sheet or is assumed by it, so the work is applying the relationship rather than recalling it.

Do the problems repeat?

No. Every problem is generated with fresh numbers, so the same skill can be practiced indefinitely without memorizing an answer. That is the whole point — being able to run a procedure on numbers you have not seen is what the exam actually tests.

How precise does my answer need to be?

Answers are accepted within about 1–3% of the exact value, which allows for rounding at intermediate steps the way a calculator does. Units are optional — type the number and the unit if you like, or just the number.