SAT Intel Report · October 2025
October 2025 SAT: the questions made of letters
Seven things this test kept doing, each with a worked example and what to practice. The late math questions stopped giving you numbers and started giving you letters.
Was the October 2025 SAT hard?
Yes, and math is where people said so. The back half of Module 2 ran almost entirely on letters, so you had to rearrange rather than calculate. Reading was more normal, though the vocab questions hid their clue in the sentence after the blank. If you like plugging in numbers, this form took that away from you.
Letters for numbers: match the coefficients one at a time
The late math questions were written in letters. One gave a quartic in factored form and asked about the constants. Another was a long equation with no digits at all, to be rearranged for one variable. There’s nothing to calculate, so people froze.
What one looked like
6x4 - px2 + 126 is written as j(x2 - k)(2x2 - n). The constants are integers apart from one, and you work out which.
Where people went wrong
Setting j to 6, because 6 is the leading coefficient. The second bracket already brings a 2 with it, so the leading coefficient is 2j. Every constant after that comes out wrong.
What it actually is
Match one power at a time. 2j = 6 gives j = 3. Then the constant term is j times k times n, so 3kn = 126 and kn = 42. Now you can test the choices against a product of 42.
How to prep it
Match the highest power first, then the constant term, then the middle. Write each equation on its own line. If you get stuck, put a small number in for each letter and check your rearrangement still holds.
Vocab: read the sentence after the blank
- enumerate
- conjectural
- redundancy
- incongruence
- frugal
Several vocab questions put the clue outside the sentence with the blank in it. The sentence before or after tells you the meaning. People who read only the blank’s own sentence had four options that all fitted.
What one looked like
A passage needed a verb for what later writers did with a primary work. The next sentence gives a count of how many times each of them referred to it.
Where people went wrong
Any option meaning praised or studied. The blank’s own sentence supports all of them, so you end up guessing between words that are all plausible.
What it actually is
Enumerate, meaning to list one by one. The count in the next sentence is the evidence, and nothing in the blank’s sentence would have got you there. Another question wanted redundancy for a leaf’s duplicated veins, with incongruence as the popular wrong answer.
How to prep it
Read one sentence either side of the blank before you predict anything. Underline the concrete detail in them, like a count or a date. That detail is usually the whole reason one word beats three others.
Inferences: name the condition the argument needs
The hard inference questions rested on something the passage doesn’t say. You finish the sentence by stating that unspoken condition. The trap states a relationship the passage never established.
What one looked like
An archaeology passage argues from how far people travelled to reach sites where a metal was worked. The argument only works if the sites were equally reachable to begin with.
Where people went wrong
The option describing an inverse link between distance and yield. It sounds like the sort of thing the passage might have measured. It never did, so you’d be adding a finding rather than naming an assumption.
What it actually is
The sites were equally reachable, so nothing but distance explains the pattern. That’s the condition the argument needs and never states. Say it plainly and the sentence finishes itself.
How to prep it
After you read the argument, ask what would have to be true for it to work. Write that down before you look at the options. Then reject any option that adds a new measurement instead of naming a condition.
Rewritten from the October 2025 SAT: same idea, new words and numbers
Because every volcanic flow carries its own trace-element signature, chemical fingerprinting lets a single obsidian blade be matched to the particular outcrop its raw material was quarried from. The archaeologist Solveig Marchetti applied the method to 1,900 blades recovered from thirty-one sites across a 300-kilometer stretch of highland, assigning each blade to one of five documented outcrops. She found that the proportion of blades from any given outcrop fell steadily with distance from it, dropping below five percent past about ninety kilometers, a gradient she reads as evidence that highland communities habitually obtained their obsidian from whichever source lay nearest. Marchetti's reading holds, however, only if ______ Which choice most logically completes the text?
Scale drawings: the area factor is the length factor squared
A scale-drawing question gave the length factor and asked for the area factor. People argued about this one afterwards, and the argument was whether you square it.
What one looked like
Every length in the drawing is 1/10 of the real length. What fraction of the real area is the drawing’s area?
Where people went wrong
Answering 1/10. That’s the factor you were given, and it answers a question about length rather than area. It sat in the options for exactly that reason.
What it actually is
1/100. Area is two lengths multiplied together, so both of them shrink by 1/10. Check it on a square: a 20 by 20 square has area 400, and a 2 by 2 square has area 4.
- scale factors lengths by the factor, areas by its square, volumes by its cube. One tenth the length is one hundredth the area.
- equilateral triangle the height is the side times root 3 over 2. So a height of 44 gives a perimeter of 88 root 3.
- inscribed angle half the arc it sits on. An inscribed angle of 58 degrees means an arc of 116 degrees.
- tangent line the distance from the center to the line equals the radius. That single fact pins down a missing constant.
- cylinder volume pi times the radius squared times the height. Doubling the radius multiplies the volume by 4, doubling the height only by 2.
How to prep it
When a question gives a scale factor, write down whether it wants length, area or volume. Then square it or cube it before you answer. Testing it on a small square takes ten seconds and settles it.
Undermine questions: break the link the hypothesis needs
Two questions asked which finding would undermine a hypothesis. A hypothesis says one thing determines another, so the finding that hurts it holds the first thing steady and lets the second move.
What one looked like
The hypothesis is that water temperature determines the depth at which nautiluses lay eggs. It was built on observations at one island.
Where people went wrong
A finding that some other island has both a different temperature and a different depth. That is what the hypothesis predicts, so it supports it rather than hurting it.
What it actually is
Two islands at a similar temperature where the eggs sit at different depths. Temperature is held still and depth moves anyway, so temperature can’t be what determines it.
How to prep it
Write the hypothesis as if this, then that. To undermine it, you want the same if with a different that. Options that change both halves are usually support dressed up to look like an objection.
Circles: tangency fixes the radius
A circle was given by an equation with an unknown constant, plus a line that touches it once. Substituting the line into the circle doesn’t get you there on its own. Tangency is the extra fact.
What one looked like
Completing the square gives a center of (4, 1) and a radius squared of 17 - c. The line y = -6 is tangent to the circle. Find c.
Where people went wrong
Answering 17. That’s the value making the radius zero, which shrinks the circle to a single point. A point isn’t tangent to anything, but 17 is the number sitting in front of you.
What it actually is
Tangent means the distance from the center to the line equals the radius. The center is at height 1 and the line is at -6, so that distance is 7. Set 17 - c = 49 and c = -32.
How to prep it
Turn every circle equation into center and radius before anything else. Then translate the word tangent into a distance equation. Those two moves solve nearly every circle question you’ll meet.
Rewritten from the October 2025 SAT: same idea, new words and numbers
In the xy-plane, the equation x2+y2-8x-2y+c=0 represents a circle, and the line y=-6 is tangent to that circle. What is the value of the constant c ?
Punctuation: a measurement can still end a full sentence
One punctuation question ended the first clause on a measurement. That makes the clause look unfinished, so people reached for a comma. Both halves were complete sentences.
What one looked like
The options were centimeters, that is, centimeters; that is, centimeters that is and centimeters, that is,. What follows is the clause that is ten times the length.
Where people went wrong
Picking centimeters, that is, with the pair of commas. That treats that is as an aside you could lift out. It’s the subject and verb of the clause that follows, so it can’t be bracketed away.
What it actually is
centimeters; that is. Test each side on its own and both are complete sentences. Two complete sentences need a semicolon, a period, or a comma plus and. Only one option offers any of those.
How to prep it
Cover the blank and read each side aloud as its own sentence. Ignore what the words are about, because a measurement reads oddly and is still a complete clause. Then pick the mark that joins what you actually have.
Rewritten from the October 2025 SAT: same idea, new words and numbers
The amphipods that marine biologist Teodora Ruiz retrieved from the Kermadec Trench dwarf their shallow-water relatives. An adult specimen measures roughly 28 ______ ten times the length typical of the same genus on the continental shelf. Which choice completes the text so that it conforms to the conventions of Standard English?
What to work on before your next test
- Equivalent Expressions, take ten factored polynomials and match every power before solving, writing one equation per line. Back to the example
- Circles, convert twenty circle equations into center and radius until it takes no thought. Back to the example
- Words in Context, do vocabulary questions with the blank's own sentence covered up, so only the neighbours can help. Back to the example
- Area & Volume, run scale factors through length, area and volume on the same figure. Back to the example
- Inferences, write the missing condition out longhand before reading a single option. Back to the example
Substitute numbers when the question gives you none
The thing that made this form feel hard is that it withheld numbers. You can put them back. Pick small values for the letters, run your rearrangement, and see whether both sides still agree.
It costs about twenty seconds and it catches the errors that letters hide. Do it on every all-letters question in practice and you’ll stop needing it on half of them.
Practise the 44 questions modeled on the October 2025 SAT
Original questions written around what the October 2025 exam tested, tagged by skill and difficulty, each with a worked solution.
Students said more about the math on this test than anything else, so the math themes lead this report.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 October 2025 SAT?
Module 2 was mostly algebra written in letters. You got a quartic in factored form with unknown constants, a long literal equation to rearrange, and a quadratic whose condition for two solutions was an inequality. Alongside that came a scale drawing, an equilateral triangle, a tangent line to a circle and an inscribed angle.
What vocab words were on the October 2025 SAT?
People reported enumerate, conjectural, redundancy, incongruence and frugal. The words were not especially rare. What made them hard was that the deciding clue usually sat in the sentence before or after the blank rather than in the blank's own sentence.
How should I practice the October 2025 question types?
Do algebra questions with the numbers stripped out on purpose. Take a problem you can already solve, replace every number with a letter, and rearrange it again. That is the exact skill this form tested, and it is uncomfortable until you have done about thirty of them.