SAT Intel Report · December 2025
December 2025 SAT: questions that hid a condition
Six things this test kept doing, each with a worked example and what to practice. The hard ones mostly gave you a condition in words and left you to turn it into something solvable.
Was the December 2025 SAT hard?
Average, with a sharp end to each math module. Vocab was steady rather than brutal, and the punctuation questions were fair. Math came down to wording: no real solutions, same terminal ray, same mean. If you can turn those phrases into equations, this form wasn’t bad at all.
Vocab: when the sentence compares, describe the gap
- subdued
- unwieldy
- imbue
- homogeneity
- nominal
- analogous
Vocab was steady this time. The ones that caught people were built as comparisons. The blank doesn’t describe the thing on its own, it’s about how that thing looks next to something else.
What one looked like
A passage said early female superheroes could seem ____ next to their male counterparts, who had far greater powers. The finalists were unwieldy and subdued.
Where people went wrong
Unwieldy. It’s negative, and the sentence is clearly saying something unflattering. But unwieldy is about being awkward to handle, which has nothing to do with a comparison of powers.
What it actually is
Subdued, meaning muted or held back. The sentence measures the heroes against much greater powers, so the blank has to name that gap. Another question wanted imbue for a treatment giving textiles durability.
How to prep it
Look for next to, compared with, or than in the sentence. If one of those is there, the blank describes a gap rather than a quality. Then drop any word that would still work if you cut the comparison out.
Rewritten from the December 2025 SAT: same idea, new words and numbers
Because regulators had set the new emissions ceiling so far above what most plants already released, several environmental economists predicted that the rule's effect on regional air pollution would prove merely ______, a gesture toward reform rather than a genuine constraint on industry. Follow-up monitoring, which registered only a slight decline in measured emissions over the subsequent two years, largely vindicated their skepticism. Which choice completes the text with the most logical and precise word or phrase?
No real solutions: push the discriminant below zero
A hard Module 2 question said an equation has no real solutions and asked for the greatest integer constant. No real solutions is a condition about the discriminant, but you can’t use it until the equation is tidied up.
What one looked like
r squared plus qr = 4r - 55 has no real solutions, and q is an integer. What is the greatest q can be?
Where people went wrong
Answering 14. That comes from using q as the middle coefficient and solving q squared below 220. The 4r is still on the right-hand side, so the middle coefficient is q - 4, not q.
What it actually is
Move everything across first: r squared plus (q - 4)r plus 55 = 0. No real solutions means the discriminant is negative, so (q - 4) squared is below 220. The square root of 220 is about 14.83, giving q below 18.83, so q = 18.
How to prep it
Get every quadratic to equal zero before you read the condition. Then translate the words: no real solutions means below zero, one solution means exactly zero, two means above. Check your answer and the next integer up, which takes ten seconds.
Commas around a name: only when the name is extra
One punctuation question asked whether a person’s name needed commas. The rule is about the words before the name, not about the name. If those words could describe more than one person, the name is doing real work.
What one looked like
The sentence introduces someone as a geologist. The options were geologist Louis Agassiz and geologist, Louis Agassiz,.
Where people went wrong
geologist, Louis Agassiz, with the pair of commas. A name feels like extra detail, and commas look neat around one. But lift the name out and you’ve got a sentence about some geologist or other.
What it actually is
geologist Louis Agassiz, no commas. There are many geologists, so the name tells you which one. Commas would only be right after something that already picks out one person, like her older brother.
How to prep it
Cover the name and read the sentence without it. If you still know who is meant, the commas belong. If you don’t, drop them. That test takes five seconds and it settles every version of this question.
Mean from a table: multiply by the frequency first
One question gave a frequency table and made every answer choice another small table. You compare means. People averaged the values in the left column and didn’t use how often each one came up.
What one looked like
A table records pets owned by 15 households and the values add to 45, so the mean is 3. Which answer set has the same mean?
Where people went wrong
The set 2, 3, 4 and 5, each twice. Those four values look like a spread around 3, so it feels right. Their mean is 3.5, because 2, 3, 4 and 5 average to 3.5 and repeating them changes nothing.
What it actually is
The set 2, 3 and 4, each three times. Those average to 3, which matches the table. Repeating every value the same number of times leaves the mean alone, so you only need the average of the distinct values.
How to prep it
Write the total and the count as two separate numbers on every frequency table. Multiply each value by its frequency before you add. Then remember that repeating all values equally leaves the mean where it was.
Radians: convert to degrees, then add or subtract 360
The last question of Module 1 gave an angle in radians and three more in radians. You pick the ones ending in the same place. It goes wrong when you try to compare fractions of pi in your head.
What one looked like
The angle is 5 pi over 4. The three candidates are 13 pi over 4, 7 pi over 4, and minus 3 pi over 4. Which end in the same place?
Where people went wrong
Answering the first one only. 13 pi over 4 is obviously the given angle plus 2 pi, so it gets spotted. The negative one gets rejected for looking nothing like 225 degrees.
What it actually is
Convert everything. The angle is 225 degrees, and the candidates are 585, 315 and -135. Two of them differ from 225 by a multiple of 360, since 585 is 225 plus 360 and -135 is 225 minus 360. So the first and the third.
- radians to degrees multiply by 180 over pi. So 5 pi over 4 is 225 degrees, and 13 pi over 4 is 585.
- same terminal ray two angles end in the same place when they differ by a multiple of 360. Both 585 and -135 land on 225.
- the discriminant below zero means no real solutions, exactly zero means one, above zero means two.
- percent growth 20 dollars becoming 24.20 over two years is a factor of 1.21, and 1.21 is 1.1 squared, so 10 percent a year.
- statistically significant with a proper random sample it generalizes to the population. It says nothing about how big the effect is.
How to prep it
Convert every radian measure to degrees before you compare anything. It costs one line and removes all the arithmetic you can get wrong. Then test each candidate by adding and subtracting 360 rather than eyeballing it.
Rewritten from the December 2025 SAT: same idea, new words and numbers
In the xy-plane, an angle in standard position measures 5π/4 radians. Consider the three angle measures I. 13π/4, II. 7π/4, and III. -3π/4. Which of these measures represent an angle coterminal with the given angle?
Complete the logic: carry the finding to the other case
One inference question gave two animals hurt by the same noise, and a fix that worked on the worse-hit one. You finish the reasoning, and the trap is the option that claims too much.
What one looked like
Construction noise disrupted porpoises more than seals. A bubble curtain around the pile driver brought porpoise feeding almost back to normal. You complete the conclusion.
Where people went wrong
The option saying the bubble curtain would wipe out the disruption everywhere. The passage says feeding recovered nearly to normal, and that nearly isn’t there by accident.
What it actually is
The same bubble curtain should also ease things for the seals. A fix that worked on the badly hit animal should help the less badly hit one facing the same noise. That’s the only step the passage lets you take.
How to prep it
Circle the hedge words in the passage, like nearly, partly and some. Then reject any option that drops them for an absolute. You’ll clear two of the four choices before thinking about the argument at all.
Rewritten from the December 2025 SAT: same idea, new words and numbers
The pile-driving operations that accompany construction of offshore wind farms generate persistent low-frequency noise, which disrupts the foraging behavior of harbor seals, predators that depend on subtle acoustic cues to locate the fish they pursue. Marine biologist Rosa Lindqvist, monitoring an installation site in the North Sea, determined that this same noise interfered considerably more severely with harbor porpoises, a species whose hunting relies even more heavily on acoustic information. After her team encircled the pile driver with a curtain of ascending air bubbles that absorbed a substantial fraction of the noise, porpoise foraging recovered nearly to its characteristic level. Because the porpoises had been affected more profoundly than the seals yet rebounded once the bubble curtain was installed, researchers reasonably concluded that ______ Which choice most logically completes the text?
What to work on before your next test
- Quadratic & Exponential Functions, rearrange twenty quadratics to equal zero before reading the condition, then check the next integer up. Back to the example
- Right-Triangle Trigonometry, convert forty radian measures to degrees, until the fractions stop needing thought. Back to the example
- Words in Context, hunt for comparison words in the sentence before predicting anything. Back to the example
- Inferences, circle every hedge word in the passage and cross out the absolutes. Back to the example
- Statistics & Data Distribution, compute means from frequency tables until weighting each value is automatic. Back to the example
Turn the words into a condition you can solve
This form was mostly wording. No real solutions means the discriminant is negative. Same terminal ray means a gap of 360. Next to their counterparts means the blank is about a gap. None of that needs a method you don’t have.
So learn the phrases as equations rather than as ideas. Write the equation out the moment you spot the phrase. Most of these questions then shrink to two lines.
Practise the 25 questions modeled on the December 2025 SAT
Original questions written around what the December 2025 exam tested, tagged by skill and difficulty, each with a worked solution.
Students reported more about the end of each math module than about anything else, so the translation themes lead here.The reading of it is ours. We hold no scoring data, we can’t identify unscored questions, and every practice question here is written from scratch.
Questions about what was on this test
What math was on the December 2025 SAT?
Both modules ended hard. You got a quadratic with no real solutions where you solve for the greatest integer constant, and a coterminal-angle question in radians as the last item of Module 1. Alongside those came a compound growth model, a frequency table compared on its mean, a circle question and a statistical-significance question.
What vocab words were on the December 2025 SAT?
People reported subdued, unwieldy, imbue, homogeneity, nominal and analogous. The words were reasonable. What made a few of them hard was that the sentence set up a comparison, so the blank had to describe a difference rather than a quality on its own.
How should I practice the December 2025 question types?
Build yourself a list of exam phrases and the equation each one means. No real solutions, exactly one solution, same terminal ray, same mean, statistically significant. Practice writing the equation the moment you read the phrase, That translation is the thing this form charged you for.