Math section strategy · SAT

The 35-minute pacing plan

Average time is misleading here, because question 3 and question 21 are not the same task. Budget by position instead.

Module 1 (mixed difficulty)

Questions	Typical difficulty	Target per question	Clock should show after the block
1–8	easy	45–60 s	28:00 or more
9–15	medium	about 90 s	17:00 or more
16–22	medium-hard to hard	about 2 min	about 3:00 left to check flags

Harder module 2

Questions	Typical difficulty	Target per question	Clock should show after the block
1–8	medium	about 60 s	27:00 or more
9–15	medium-hard	about 95 s	16:00 or more
16–22	hard	about 2 min	about 2:00 left to check flags

On the harder route, the opening questions of module 2 often feel like the middle of module 1, so there is less slack early. If the clock already shows under 27:00 when you finish question 8, don’t panic: trim about 10 seconds from each of questions 9–15 rather than rushing the last seven.

Check as you go. In the first 8 questions, spend 5–10 seconds confirming each answer by substitution or a quick Desmos graph. Those seconds are the best investment on the test.
Two-and-a-half-minute cap. If a question is still unsolved after 2½ minutes, make your best guess, flag it and move on. A later question may be easier for you than this one.
Last 2 minutes: fill every blank, then recheck flagged SPR answers. An SPR guess almost never lands, so a finished SPR answer is worth more than a second look at a multiple-choice guess.

Hand or Desmos? A decision table

Situation	Fastest tool
One-step linear equation, percent, ratio, unit conversion	By hand: typing into Desmos is slower
System of equations; a line meeting a curve	Desmos: graph both and click the intersection
Radical, rational, absolute-value or exponential equation	Desmos: graph each side; extraneous roots never appear as intersections
Vertex, zeros, maximum or minimum of a function	Desmos points of interest (click the curve)
Table of values → equation	Desmos regression: `y1 ~ m x1 + b`
Parameter question (no solution, tangent, “for what value of k”)	Algebra first (slopes, discriminant); a Desmos slider to confirm
“Which expression is equivalent to ...?”	Graph the original and each choice; the matching graph overlaps exactly. Or plug in $x = 2$
Interpret a constant or slope in context	Reasoning: no calculator needed
Geometry without coordinates	Sketch, label, and use the reference sheet

The Using the Desmos Graphing Calculator on the SAT guide covers each technique step by step.

SPR entry rules

These paraphrase the Bluebook directions:

A positive answer can use up to 5 characters and a negative answer up to 6, including the minus sign.
A fraction that doesn’t fit must be entered as a decimal. For a repeating decimal, fill every available space: for $\frac{2}{3}$ , enter 2/3, .6666, .6667, 0.666 or 0.667, but not .67 or 0.67.
Enter a mixed number as an improper fraction or a decimal: 7/2 or 3.5, never 3 1/2.
Leave out symbols and units such as %, $, commas and degree signs.
If more than one answer is correct, enter just one.

Always read the preview Bluebook shows under the entry box before moving on.

Beating the hardest module 2 questions

The last 6–7 questions of the harder module 2 come from a small set of families. Learn the fastest method for each.

Family	Fastest method
Linear system with no solution or infinitely many	For $a_1x + b_1y = c_1$ and : no solution when ; infinitely many when all three ratios are equal

Score bands for Math

Section score	What it looks like
780–800	0–2 misses on the harder route. Every question family has a practiced method, and Desmos is a reflex.
730–770	3–5 misses, usually one parameter or circle item, one abstract-function item and one careless slip.
680–720	Secure through medium Advanced Math. Hard module 2 items are right about half the time, and time runs short.
600–670	Linear algebra is solid, but quadratics, exponentials and data questions are inconsistent. The harder route is not guaranteed.
Below 600	Early-question accuracy and core algebra come first. Use Desmos to check every answer.

Common traps

Quick recap

Budget by position: easy items fast but checked, medium items at about 90 seconds, and 2 minutes for hard items.
Use Desmos for intersections, nonlinear equations, vertices and regression; solve by hand for simple steps and interpretation.
Enter SPR decimals to fill the space and check the preview.
Learn one fast method for each hard family: parameters, discriminant, circles, exponential rates and abstract functions.