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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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    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

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    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.

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12 easy, 12 medium and 12 hard questions free every day, each with a full explanation. Filter by section, domain, skill and difficulty. Resets at midnight.

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Take any test on official timing, extended 1.5× time, or untimed to focus purely on accuracy.

Adaptive full-length tests

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

Vocabulary

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

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Accuracy across daily practice and full tests, your strongest skills, and the ones that need the most help.

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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.

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

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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.

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Probability and conditional probability · Lesson 3

Conditional probability: given that

Some questions choose from only part of the group. Phrases such as given that the member is under 30, if a member who prefers the long trail is selected at random and of the members under 30 all work the same way: the random choice happens inside the smaller group they name, so that group's total becomes the denominator. This is conditional probability. A phrase such as one of these members names no smaller group, so it means everyone, and the grand total stays the denominator.

Work in three steps. 1. Find the group the condition names. 2. Its total, usually a row total or a column total, is the denominator. 3. Inside that group, find the cell the question asks about. That cell is the numerator.

If the condition covers more than one row or column, such as not under 30 in a table with three age groups, add those rows' totals for the denominator and add the matching cells for the numerator.

Here is the hiking club table from Lesson 2 again.

Members of a hiking club, by age group and preferred trail
Age groupShort trailLong trailTotal
Under 30142236
30 and over311344
Total453580

Given that a member is under 30, the probability that the member prefers the long trail is 2236=1118\frac{22}{36} = \frac{11}{18}. The condition picks the under-30 row, whose total is 36.

Swap the condition and the answer changes. Given that a member prefers the long trail, the probability that the member is under 30 is 2235\frac{22}{35}. Now the condition picks the long-trail column, whose total is 35.

With no condition, the choice is from the whole club: the probability that a member is under 30 and prefers the long trail is 2280\frac{22}{80}. Three questions, one cell, three different totals. The words around the cell decide which total you use.

Worked example Easy

The table shows how the 150 visitors to a museum on one day bought their tickets.

VisitorOnlineAt the doorTotal
Adult563490
Student411960
Total9753150

If one of the student visitors is selected at random, what is the probability that the student bought a ticket online?

  1. 41150\frac{41}{150}
  2. 4197\frac{41}{97}
  3. 4160\frac{41}{60}Answer
  4. 1960\frac{19}{60}

How to solve it

  1. The visitor is chosen from the students only, so the total is the Student row total, 60.
  2. Inside that row, the students who bought online: 41.
  3. Probability =4160= \frac{41}{60}.

Why each choice is right or wrong

  • A. Incorrect. This uses the grand total, 150: 41150\frac{41}{150}. That is the probability that a visitor chosen from everyone is a student who bought online. This visitor is chosen from the 60 students.
  • B. Incorrect. This divides by 97, the Online column total: 4197\frac{41}{97}. That is the probability that an online buyer is a student, which reverses the condition.
  • C. Correct. The choice is from the 60 students, and 41 of them bought online, so the probability is 4160\frac{41}{60}.
  • D. Incorrect. 19 students bought at the door, so 1960\frac{19}{60} is the probability that the student did not buy online.

Worked example Hard

A clinic tried a new screening test on 400 patients and then checked which patients actually have a certain allergy. The results are shown.

Screening resultHas the allergyDoes not have the allergyTotal
Positive6337100
Negative7293300
Total70330400

If one of the patients who have the allergy is selected at random, what is the probability that the patient's screening result was positive?

  1. 63400\frac{63}{400}
  2. 63100\frac{63}{100}
  3. 110\frac{1}{10}
  4. 910\frac{9}{10}Answer

How to solve it

  1. The condition is has the allergy. That is a column, so the total is the column total, 70.
  2. Inside that column, the positive results: 63.
  3. Probability =6370=910= \frac{63}{70} = \frac{9}{10}.
  4. The Positive row total, 100, answers the reverse question: given a positive result, the probability of having the allergy is 63100\frac{63}{100}. This question's condition is the allergy, so use its column.

Why each choice is right or wrong

  • A. Incorrect. This uses the grand total, 400: 63400\frac{63}{400}. That is the probability that a patient chosen from everyone has the allergy and tested positive. This patient is chosen from the 70 with the allergy.
  • B. Incorrect. This divides by 100, the Positive row total: 63100\frac{63}{100}. That is the probability that a patient with a positive result has the allergy, the condition reversed. The patient here is chosen from those who have the allergy, so the total is 70.
  • C. Incorrect. 7 of the 70 patients with the allergy tested negative, so 770=110\frac{7}{70} = \frac{1}{10} is the probability of a negative result.
  • D. Correct. 63 of the 70 patients who have the allergy tested positive, and 6370=910\frac{63}{70} = \frac{9}{10}.

Trap Using the grand total after a condition

Once the question names a smaller group (given that the student is in the band, of the seniors, if one of the bus riders is selected), the grand total is the wrong denominator. The cell over the grand total is often one of the choices.

Trap Reading the row when the condition is the column

Every cell sits in a row and a column, so it has two possible conditional totals. Ask which group the person is chosen from. In the clinic example, a patient who has the allergy names a column. Dividing by the Positive row total answers the reverse question. The two answers match only when the row total and the column total happen to be equal.

Desmos When Desmos isn’t faster

No graph helps here. The skill is choosing the right total, and that comes from reading the question's wording against the table.

Once you have the fraction, simplifying it by hand is quick. If the answer choices are decimals, type the fraction in Desmos to see its decimal value.

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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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