Digital SAT practice

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The DailySTEP 1
  • Three hearts. A miss costs one.
  • Streaks pay. ×2 from three in a row, ×3 from six.
  • Your longest streak. Beat it tomorrow.

Full-length tests

The real test, rehearsed.

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.

How it works

One run a day. One skill at a time.

  1. 1

    Play the Daily.

    A quick run with three hearts. String right answers together and the questions get harder and the points multiply.

  2. 2

    Miss one, learn why.

    Every question is tagged by domain and skill, and every answer comes with an explanation.

  3. 3

    Drill that skill.

    Practice any single skill at any difficulty, or just the questions you got wrong.

  4. 4

    Beat your best.

    Come back tomorrow and climb. Progress shows your accuracy and your strongest skills.

Built around the real SAT blueprint.

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.

Explanations

Every answer, explained.

Not just the right letter: how to get there, and why the tempting answer is wrong.

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.

Test day

What test day looks like.

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

Peakscor by the numbers

  • 36free practice questions every day
  • 98questions in every full-length test
  • 1,023SAT vocabulary words
  • 1.5×extended-time option on every test

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  • The Daily, every day
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  • Full-length Test A and Challenge Test 1
  • All 1,023 vocabulary words: browse, flashcards and quiz
Start free daily practice

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FAQ

Questions, answered.

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.

Your next point starts today.

Free, no card.

Circles · Lesson 2

Central and inscribed angles

An inscribed angle has its vertex on the circle, and its sides are two chords (segments that join two points of the circle). Like a central angle, it opens onto an arc: the arc between its two sides, on the far side of the circle from its vertex. The measure of an arc, in degrees, is the measure of the central angle that cuts it off.

The inscribed angle rule: an inscribed angle is half the central angle that cuts off the same arc. In the figure below, central angle AOB is 100°, and inscribed angle ACB, which opens onto the same arc AB, is 50°. Any inscribed angle with its vertex on the longer arc from A to B opens onto arc AB too, so it also measures 50°, wherever its vertex sits.

Angles in a semicircle: a diameter cuts the circle into two semicircles, each an arc of 180°. An inscribed angle whose sides run to the two ends of a diameter opens onto a semicircle, so it is 180°2=90°\frac{180°}{2} = 90°. If a triangle has a diameter as one side and its third vertex on the circle, the angle at that third vertex is a right angle.

Radii are equal. A triangle with two radii as sides, such as triangle AOB, is isosceles, so its two angles at the circle are equal. Many angle questions combine this with the inscribed angle rule and the 180° sum of a triangle's angles.

A central angle and an inscribed angle on the same arc100°50°OABC
A central angle and an inscribed angle on the same arc A circle with center O and points A, B and C on it; C is at the top, and A and B are at the lower left and lower right. Radii OA and OB form central angle AOB, marked 100°. Chords CA and CB form inscribed angle ACB, marked 50°. Arc AB, at the bottom, is drawn in bold.

Worked example Easy

Central angle AOB and inscribed angle ACBx°34°OABC
Central angle AOB and inscribed angle ACB A circle with center O and points A, B and C on it; C is on the left, a little above O, and A and B are at the lower left and lower right. Radii OA and OB form angle AOB, marked x°. Chords CA and CB form angle ACB, marked 34°. Arc AB, at the bottom, is drawn in bold.

In the circle shown, O is the center, and points A, B and C lie on the circle. Angle ACB measures 34°. What is the value of xx?

  1. 1717
  2. 3434
  3. 6868Answer
  4. 146146

How to solve it

  1. Angle ACB is an inscribed angle: its vertex C is on the circle. It opens onto arc AB.
  2. Angle AOB is the central angle that cuts off the same arc AB.
  3. An inscribed angle is half the central angle, so the central angle is twice the inscribed angle: x=2⋅34=68x = 2 \cdot 34 = 68.

Why each choice is right or wrong

  • A. Incorrect. This halves 34 instead of doubling it, which gives 17. The inscribed angle is the half; the central angle is twice as big: 2⋅34=682 \cdot 34 = 68.
  • B. Incorrect. 34 would be right only for another inscribed angle. Two inscribed angles on the same arc are equal, but a central angle is twice an inscribed angle on the same arc.
  • C. Correct. Central angle AOB and inscribed angle ACB cut off the same arc AB, so x=2⋅34=68x = 2 \cdot 34 = 68.
  • D. Incorrect. This treats the angles as supplementary: 180−34=146180 - 34 = 146. Nothing here makes the two angles add up to 180°; the central angle is twice the inscribed angle.

Worked example Medium

Triangle AOB and inscribed angle ACB32°OABC
Triangle AOB and inscribed angle ACB A circle with center O and points A, B and C on it; C is near the top, and A and B are at the lower left and lower right. Radii OA and OB and chord AB form triangle AOB, and angle OAB is marked 32°. Chords CA and CB meet at C. Arc AB, at the bottom, is drawn in bold.

In the circle shown, O is the center, and points A, B and C lie on the circle. Angle OAB measures 32°. What is the measure of angle ACB?

  1. 32°32°
  2. 58°58°Answer
  3. 64°64°
  4. 116°116°

How to solve it

  1. OA and OB are both radii, so triangle AOB is isosceles, and angle OBA equals angle OAB: 32°.
  2. The angles of triangle AOB add up to 180°, so angle AOB is 180−32−32=116180 - 32 - 32 = 116 degrees.
  3. Angle ACB is inscribed and opens onto the same arc AB, so it is half of 116°: 58°.

Why each choice is right or wrong

  • A. Incorrect. This assumes angle ACB equals angle OAB, 32°. Angle OAB is an angle of triangle AOB, not an angle on the circle that opens onto arc AB, so nothing makes them equal. Use it to find the central angle first.
  • B. Correct. The isosceles triangle AOB has two 32° angles, so angle AOB is 180−64=116180 - 64 = 116 degrees. Inscribed angle ACB opens onto the same arc, so it is half of that: 58°.
  • C. Incorrect. This doubles 32° to get 64°, as if angle OAB opened onto arc AB. It doesn't: its side AO points through the center, so doubling 32° gives the arc from B to the far end of the diameter through A, not arc AB. The isosceles triangle gives angle AOB = 116°, and half of that is 58°.
  • D. Incorrect. 116° is the central angle AOB. Angle ACB is inscribed, so it is half of that, 58°.

Trap Doubling when you should halve

For the same arc, central angle = 2 × inscribed angle, so the inscribed angle is the smaller one. When you're unsure which way to go, check the figure: of two angles that open onto the same arc, the one with its vertex at the center is the bigger.

Trap Using the wrong arc

An inscribed angle is half of the arc between its sides, on the far side of the circle from its vertex. If the vertex is on the shorter arc between two points, the angle opens onto the longer arc, which is 360° minus the shorter one, and the angle is obtuse.

Trap Missing the unmarked right angle

When one side of a triangle is a diameter and the third vertex is on the circle, the angle at that vertex is 90° even if the figure doesn't mark it. That right angle often unlocks the 180° sum or the Pythagorean theorem.

Desmos When Desmos isn’t faster

Angle questions are solved on the figure: spotting which angle is inscribed, which is central and which triangle is isosceles. Desmos can't see the figure, so work these by hand.

The arithmetic is short, such as 180−32−32=116180 - 32 - 32 = 116 and 1162=58\frac{116}{2} = 58, so typing it into Desmos saves no time.

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Full-length tests

Each test mirrors the digital SAT: 98 questions across four modules, 2 hr 14 min on official timing.

A little harder than the real SAT. These tests can run slightly tougher than test day, which makes them good practice: if you can handle these, the real one should feel easier. No question appears in more than one test, Challenge Tests included.

Challenge Tests Hardest of the hardest

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

Vocab

Study the classic SAT vocabulary list. Browse, flip flashcards, or quiz yourself.

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