A full quarter section, such as the SW 1/4 of Section 12, contains:
Correct Answer
A) 160 acres of land
Why this is correct: A standard section in the rectangular survey system contains 640 acres. A quarter-section (like SW 1/4) is one-fourth of that, which is 640 acres / 4 = 160 acres. Why the other choices are wrong: '40 acres of land' is a quarter of a quarter-section (160/4). '320 acres of land' is half a section. '640 acres of land' is a full section. Exam tip: The math is division by four. A section = 640 acres. A 1/4 section = 160 acres. A 1/4 of a 1/4 section = 40 acres.
Why This Is the Correct Answer
Option A is correct because one quarter of a 640-acre section is 160 acres, and the SW 1/4 of Section 12 is exactly one such quarter. No further fractions appear in the description, so no additional division applies. This is the standard quarter-section, historically the size of a homestead claim. In practice the figure is nominal, since sections along township north and west boundaries carry correction lots.
Why the Other Options Are Wrong
Option B: 40 acres of land
Forty acres is a quarter of a quarter, the size you get from a description like the SW 1/4 of the SW 1/4. Choosing it means you divided twice when the description called for one division. It is the most common trap answer because forty acres is such a familiar unit.
Option C: 320 acres of land
Three hundred twenty acres is a half section, produced by a description such as the S 1/2 of Section 12. Selecting it means you halved rather than quartered. The compass abbreviation SW, with both a north-south and an east-west component, is the tell that a quarter rather than a half is intended.
Option D: 640 acres of land
Six hundred forty acres is the entire section, the figure you start from before applying any fraction. Choosing it means you read the section number and stopped before the aliquot part. The description explicitly limits the conveyance to one corner of that section.
640, then read it backward
Start at 640 and divide by the denominator of every fraction in the description. Read the call from right to left: the last part named is the biggest, each earlier fraction shrinks it. 640 to 320 to 160 to 80 to 40 to 20 to 10.
How to use: Rewrite the description as a multiplication before you compute: SW 1/4 becomes 640 times 1/4. For compound calls like the N 1/2 of the SE 1/4 of the NW 1/4, chain the fractions and divide once.
Exam Tip
Count the fractions in the description and expect that many divisions. One fraction means one division, so a lone quarter call can never be 40 acres.
Common Mistakes to Avoid
- -Dividing an extra time and answering 40 acres
- -Treating a compass quarter as a half
- -Assuming every section holds exactly 640 acres, including correction sections
- -Multiplying instead of dividing when chaining several fractions
Concept Deep Dive
Analysis
This tests the arithmetic backbone of the Public Land Survey System, which appraisers use constantly in rural and agricultural work. A township is six miles square and contains 36 sections; each section is nominally one mile square and contains 640 acres. Aliquot descriptions subdivide a section by repeated halving and quartering, so every fraction in the description multiplies against 640. A quarter section is 640 divided by 4, or 160 acres, the classic homestead unit. The skill being tested is reading the description from the last call backward, because the final phrase names the parent tract and each preceding fraction cuts it further.
Background Knowledge
You need the PLSS hierarchy: township equals 36 sections, section equals 640 acres, and each aliquot fraction multiplies through. You should also know that sections are numbered in a boustrophedonic pattern beginning in the northeast corner, and that closure sections on the north and west township lines contain government lots rather than exact acreages.
Real-World Application
Valuing dryland farm ground, you convert every aliquot description in the sales file to acres so you can compute price per acre across comparables. When a deed calls a government lot instead of a clean aliquot part, you go to the plat for the surveyed acreage rather than assuming 40.
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