Digital SAT practice

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A quick run every day, an explanation for every question, and full-length tests on official timing.

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Start here: 20 questions, about 28 minutes. You see your level in every domain and which lessons to take first. Free, no card. You also get 36 practice questions a day: 9 easy, 9 medium, 9 hard and 9 challenging. See what’s free
The DailySTEP 1
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  • 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

Plans

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The free plan is the real thing, not a trial. Pro removes the limits. Peak adds the full course and a plan to test day.

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  • The Daily, every day
  • 36 practice questions a day, each with an explanation: 9 easy, 9 medium, 9 hard, 9 challenging
  • Full-length Test A and Challenge Test 1
  • All 1,023 vocabulary words: browse, flashcards and quiz
  • Each Learn module’s overview and first lesson, and the 20-question diagnostic
  • PEAK Survivor’s first map, plus the opening levels of Hole and Peak Defense
Start free daily practice

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  • Everything in Pro
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FAQ

Questions, answered.

The Daily, plus 36 practice questions every day: 9 easy, 9 medium, 9 hard and 9 challenging, each with a full explanation. Full-length Test A, Challenge Test 1 and all 1,023 vocabulary words are free too, as are the 20-question diagnostic, each Learn module’s overview and first lesson, and PEAK Survivor’s first map. 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, and every game map and level. 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 Central Time. You get a fresh 9 easy, 9 medium, 9 hard and 9 challenging.

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.

Inference and margin of error · Lesson 3

How sample size changes the margin of error

Imagine estimating the percent of a city's adults who own a bike. A random sample of 40 adults could, by luck, include more bike owners than usual. With 1,000 adults, lucky streaks like that tend to even out, so the estimate tends to land closer to the true value.

That is why, for the same population, the same question and the same confidence level, a larger random sample usually gives a smaller margin of error. A smaller margin means a narrower interval, so the estimate is more precise.

Two limits to keep straight. First, a larger sample shrinks the margin of error but never removes it: any sample smaller than the whole population leaves some uncertainty. Second, the margin of error only covers the luck of random selection. If the sample is biased, for example people who chose to answer an online poll, a bigger sample repeats the same bias.

Spread matters too. For a mean, when the values in the population are more spread out, the margin of error tends to be larger for the same sample size. The items in this lesson compare sample sizes.

You don't need a formula. Same population, same question, same confidence level: bigger random sample, smaller margin of error.

Worked example Easy

Two researchers each chose a random sample of students from the same university of 6,000 students and asked whether they work a part-time job. Researcher A surveyed 100 students and Researcher B surveyed 400 students. Both reported a margin of error at the same confidence level.

Which of the following is most likely true about the margins of error?

  1. Researcher A's margin of error is smaller, because a smaller sample is easier to measure.
  2. Researcher B's margin of error is smaller, because B's random sample is larger.Answer
  3. The margins of error are equal, because both samples come from the same university.
  4. Researcher B's margin of error is 0, because 400 students is a large enough sample.

How to solve it

  1. Both samples are random, from the same population, on the same question, at the same confidence level. Only the sample size differs.
  2. A larger random sample usually gives a smaller margin of error, so Researcher B's margin is most likely smaller.
  3. It can't be 0: 400 is far fewer than all 6,000 students.

Why each choice is right or wrong

  • A. Incorrect. Measuring fewer people doesn't make the estimate more precise. With fewer students, chance has a bigger effect on the result, so A's margin of error is most likely larger.
  • B. Correct. For the same population, question and confidence level, a larger random sample usually gives a smaller margin of error, and B's sample is four times the size of A's.
  • C. Incorrect. Sharing a population doesn't make the margins equal. The margin depends on the sample size, and these sample sizes differ.
  • D. Incorrect. 400 is still far fewer than the 6,000 students at the university, so some uncertainty remains. A larger sample shrinks the margin of error but doesn't remove it.

Worked example Medium

A city surveyed a random sample of 500 of its adult residents about a proposed bike lane. The estimate had a margin of error of 4.4%. The city wants a new survey of its adult residents that asks the same question and has a smaller margin of error at the same confidence level.

Which of the following plans is most likely to give a smaller margin of error while still allowing the results to be generalized to all the city's adult residents?

  1. Survey a random sample of 300 of the city's adult residents.
  2. Survey a random sample of 1,500 of the city's adult residents.Answer
  3. Survey 1,500 adults who live on the street with the proposed bike lane.
  4. Survey 500 adults who choose to answer a poll on the city's website.

How to solve it

  1. To generalize to all adult residents, the sample must be chosen at random from all adult residents. That rules out the street sample and the website volunteers.
  2. Between the two random samples, the larger one, 1,500, most likely gives the smaller margin of error. The sample of 300 is smaller than the original 500, so its margin would most likely be larger than 4.4%.

Why each choice is right or wrong

  • A. Incorrect. A smaller random sample would most likely give a larger margin of error than the first survey's 4.4%.
  • B. Correct. It is still a random sample of the city's adult residents, so the results apply to all of them, and 1,500 is three times the original 500, so the margin of error would most likely be smaller.
  • C. Incorrect. This sample is larger, but it isn't chosen at random from all adult residents. People on that street may feel differently about the bike lane, so the results can't be generalized to the whole city, and a margin of error doesn't account for that bias.
  • D. Incorrect. People who choose to answer are not a random sample, and 500 is no larger than the first survey. The results can't be generalized to all adult residents.

Trap Thinking a large sample removes all error

The margin of error is 0 or the estimate is guaranteed to equal the true value is never supported for a sample. A bigger random sample makes the margin smaller, not zero.

Trap Thinking size fixes bias

A choice may offer a much larger sample chosen in a biased way, such as volunteers or people in one place. The margin of error describes the luck of random selection only, so a bigger biased sample is not a better one.

Trap Getting the direction backward

A larger margin of error goes with a smaller sample. If two random surveys of the same population ask the same question at the same confidence level, the one with the wider interval most likely had fewer people.

Desmos When Desmos isn’t faster

Desmos isn't faster here, and there is nothing to compute. These questions test one idea: for the same population, question and confidence level, a larger random sample usually means a smaller margin of error.

Answer by comparing sample sizes and checking that each sample is random. Typing numbers into Desmos won't tell you whether a sample is biased.

Your progress

How you’re doing across daily practice and full-length tests.

Practice

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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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