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98 questions across four modules, in the digital SAT’s order and on its timing, with a highlighter, a question map and a timer you can see.

A Peakscor full-length test in progress: Reading and Writing, Test A, Module 1 of 4, question 7 of 27, with the passage, four answer choices, a highlighter, a 24:18 timer and Flag, Back and Next buttons.

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Every question is tagged by section, domain, skill and difficulty, so you can practice exactly what you need. Full tests run like test day: two Reading & Writing modules, a break, then two Math modules.

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Four modules in official order. The second module of each section adapts to how you did on the first.

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1,023 essential SAT words. Browse the list, flip flashcards, or quiz yourself.

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PEAK Survivor, Hole and Peak Defense: three games powered by SAT practice questions.

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MathProblem-Solving and Data AnalysisHard

A store raises the price of a jacket by 20%. Later, it lowers the new price by 20%. The final price is what percent of the original price?

A80%
B96%Correct
C100%The trap
D104%

Check with $100: $100then$120then$96

  1. Turn each change into a multiplier.

    Up 20% means × 1.20. Down 20% means × 0.80.

  2. Apply them in order.

    1.20 × 0.80 = 0.96

  3. Read the answer.

    The final price is 96% of the original. That’s B.

  4. Why not 100%?

    The 20% cut is taken from the higher price, so it removes more than the 20% increase added.

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Every Peakscor full test follows this order. In the standard tests, the second module of each section adapts to how you did on the first.

  1. Reading & Writing · Module 1

    27 questions32 min

  2. Reading & Writing · Module 2

    27 questions32 min

    Adapts to how you did on Module 1.

  3. Break

    10 min

  4. Math · Module 1

    22 questions35 min

  5. Math · Module 2

    22 questions35 min

    Adapts to how you did on Module 1.

98 questions · 2 hr 14 min of testing, plus the break

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The Daily, plus 36 practice questions every day: 12 easy, 12 medium and 12 hard, each with a full explanation. Full-length Test A, Challenge Test 1 and all 1,023 vocabulary words are free too. No card needed.

Pro is $20 a month or $200 a year: unlimited practice with no daily limit, plus every full-length test and Challenge test. Peak is $29 a month or $280 a year: everything in Pro, plus the full Learn course and Peak Plan. Cancel anytime from your account.

98 questions across four modules, in the digital SAT’s order: Reading & Writing Module 1 and Module 2 (27 questions each), a 10-minute break, then Math Module 1 and Module 2 (22 questions each). On official timing that’s 2 hr 14 min of testing. You get estimated section scores and a total at the end.

Yes. In the standard full-length tests, Module 2 of each section is the harder version if you get 60% or more of Module 1 right, and the easier version if you don’t. Challenge tests use the hardest material throughout.

Official timing, extended 1.5× time, or untimed, on every test, including the free ones. Extended time allows 48 minutes for each Reading & Writing module and about 52 for each Math module. Untimed removes the clock so you can focus on accuracy.

A quick run with three hearts. Each right answer builds your streak: the questions get harder as it grows, and your points multiply (×2 from three in a row, ×3 from six). A miss costs a heart and drops you back to easy. Best is your longest streak.

Every day at midnight. You get a fresh 12 easy, 12 medium and 12 hard.

No. Peakscor is an independent SAT practice tool, not affiliated with the College Board. Scores shown are estimates.

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Lines, angles and triangles · Lesson 1

Vertical angles and angles on a line

When two lines cross, they form four angles. The angles directly across from each other are vertical angles, and they are always equal. Two angles side by side that together make a straight line form a linear pair, and their measures add up to 180∘180^\circ.

In the figure below, the angle across from the 40∘40^\circ angle is also 40∘40^\circ, so b=40b = 40. The angles on either side of the 40∘40^\circ angle each make a straight line with it, so a=180−40=140a = 180 - 40 = 140 and c=140c = 140. Every angle in the figure is either 40∘40^\circ or 140∘140^\circ.

Any two angles whose measures add to 180∘180^\circ are supplementary, whether or not they sit side by side. Two angles that add to 90∘90^\circ are complementary. A small square in a figure marks a 90∘90^\circ angle, a right angle.

Two more totals. Angles that share a vertex on a straight line and fill one side of it add to 180∘180^\circ, however many of them there are. Angles that go all the way around a point add to 360∘360^\circ, a full circle, which is on the reference sheet.

When the angles are written with xx, first decide which angles are equal and which add to 180 or 360, then write the equation and solve it. Finally, reread the question: it may ask for xx or for the measure of an angle.

Two intersecting lines40°a°b°c°
Two intersecting lines Two straight lines cross at one point, forming four angles. The angle on the right is labelled 40°. Going counterclockwise from it, the top angle is labelled a°, the left angle b° and the bottom angle c°.

Worked example Easy

Three angles along a straight line38°x°O
Three angles along a straight line A horizontal straight line with point O on it. Two rays start at O and go upward, splitting the space above the line into three angles. From right to left, the angles are labelled 38°, a right angle marked with a small square, and x°.

In the figure, two rays start at point OO on a straight line. What is the value of xx?

  1. 5252Answer
  2. 128128
  3. 142142
  4. 232232

How to solve it

  1. The three angles above the line share the vertex OO and together fill one side of the straight line, so they add up to 180∘180^\circ.
  2. The square mark means the middle angle is 90∘90^\circ: 38+90+x=18038 + 90 + x = 180.
  3. 128+x=180128 + x = 180, so x=52x = 52.

Why each choice is right or wrong

  • A. Correct. The three angles fill one side of a straight line: 38+90+x=18038 + 90 + x = 180, so x=180−128=52x = 180 - 128 = 52.
  • B. Incorrect. 128 is 38+9038 + 90, the total of the two angles you are given. The three angles together make 180, so x=180−128x = 180 - 128.
  • C. Incorrect. This subtracts only the 38∘38^\circ angle, 180−38=142180 - 38 = 142, and leaves out the right angle in the middle. Three angles share the straight line.
  • D. Incorrect. This uses 360∘360^\circ as the total: 360−38−90=232360 - 38 - 90 = 232. Angles on one side of a straight line add to 180∘180^\circ; 360 is the total for angles all the way around a point.

Worked example Medium

Two intersecting lines(3x + 50)°y°(5x + 10)°
Two intersecting lines Two straight lines cross at one point, forming four angles. The top angle is labelled (3x + 50)° and the bottom angle, directly across from it, is labelled (5x + 10)°. The left angle, between them, is labelled y°. The angle on the right is not labelled.

In the figure, two lines intersect. What is the value of yy?

  1. 7070Answer
  2. 8585
  3. 110110
  4. 160160

How to solve it

  1. The angles labelled (3x+50)∘(3x + 50)^\circ and (5x+10)∘(5x + 10)^\circ are directly across from each other, so they are vertical angles and are equal: 3x+50=5x+103x + 50 = 5x + 10.
  2. Subtract 3x3x and 10 from both sides: 40=2x40 = 2x, so x=20x = 20. Each of these angles is 3(20)+50=110∘3(20) + 50 = 110^\circ. Check: 5(20)+10=1105(20) + 10 = 110.
  3. The y∘y^\circ angle sits next to the top angle and makes a straight line with it, so y=180−110=70y = 180 - 110 = 70.

Why each choice is right or wrong

  • A. Correct. The vertical angles give 3x+50=5x+103x + 50 = 5x + 10, so x=20x = 20 and each labelled angle is 110∘110^\circ. The y∘y^\circ angle forms a linear pair with one of them: y=180−110=70y = 180 - 110 = 70.
  • B. Incorrect. This treats the two labelled angles as a linear pair: (3x+50)+(5x+10)=180(3x + 50) + (5x + 10) = 180 gives 8x=1208x = 120 and x=15x = 15, so the top angle would be 3(15)+50=953(15) + 50 = 95 and y=180−95=85y = 180 - 95 = 85. The labelled angles are across from each other, so they are equal, not supplementary.
  • C. Incorrect. 110 is the measure of each labelled angle. The y∘y^\circ angle sits next to them, not across from them, so it is their supplement, 180−110180 - 110.
  • D. Incorrect. This subtracts the value of xx from 180: 180−20=160180 - 20 = 160. xx is not an angle in the figure. Substitute it first to get the 110∘110^\circ angles, then subtract.

Trap Across from it or next to it

Only the angle directly across from a given angle must equal it. The two angles beside it each form a straight line with it, so they are its supplement (equal to it only when the lines are perpendicular). A choice equal to the given angle can be there for students who mix these up, so check where your angle sits before you decide.

Trap Using 360 for a straight line

Angles that share a vertex on a straight line and fill one side of it add to 180∘180^\circ. Among angles that share a vertex, the 360∘360^\circ total is only for angles that go all the way around the point.

Trap Stopping at x

When the question asks for an angle, substitute xx back into the expression. The value of xx itself can be one of the choices.

Desmos When Desmos is faster

When two angles written with xx are equal, Desmos solves the equation and shows the angle at the same time. For the second example, type y=3x+50y = 3x + 50 on one line and y=5x+10y = 5x + 10 on the next. That point is off the starting screen, so zoom out with the minus button at the top right of the graph until you see where the lines cross. Click the point, (20,110)(20, 110): its xx-coordinate is the value of xx, and its yy-coordinate is the measure of each angle.

When two angles add to 180 instead, type the sum of their two expressions as one line, starting with y=y = and putting each expression in parentheses, and y=180y = 180 as another, then read the xx-coordinate where they cross. For angles all the way around a point, use y=360y = 360.

Desmos can't tell which angles are equal and which add to 180. Decide that from the figure first. For a one-step question such as 180−38−90180 - 38 - 90, mental math is faster than typing.

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Same 98-question format, but every question is drawn from the toughest SAT material: Challenging-tier math throughout and the hardest reading.

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