Digital SAT practice

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The DailySTEP 1
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  • 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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  • Full-length Test A and Challenge Test 1
  • All 1,023 vocabulary words: browse, flashcards and quiz
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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.

Probability and conditional probability · Lesson 2

Two-way tables: and, or

A two-way table sorts one group by two questions at once. In the table below, each row is an age group and each column is a preferred trail. A cell, such as 22, counts the members who fit both its row and its column: under 30 and prefer the long trail. The Total row and column add up the cells, and the corner, 80, is everyone in the club.

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

And means one cell. If a member is chosen at random from the whole club, the probability that the member is under 30 and prefers the long trail is 2280=1140\frac{22}{80} = \frac{11}{40}.

One category uses a total. The probability that a member is 30 or over is 4480=1120\frac{44}{80} = \frac{11}{20}, from the end of that row.

Or means anyone in either category, each counted once. For under 30 or prefers the long trail, add the under-30 row total and the long-trail column total, then subtract the cell they share: 36+35−22=4936 + 35 - 22 = 49. The 22 members who fit both are inside both totals, so without the subtraction they count twice. You can also add the separate cells: 14+22+13=4914 + 22 + 13 = 49. The probability is 4980\frac{49}{80}. Two rows, or two columns, share no cell, so for an or between them you just add their totals.

In math, or includes the people who fit both. A question that wants only one of the two says so, for example but not both.

If a table has no totals, add them yourself first. Check that the row totals and the column totals add up to the same grand total.

Worked example Easy

The table shows the 105 students in a school's band and choir, by grade. Each student is in exactly one of the two groups.

GradeBandChoirTotal
10th182745
11th322860
Total5055105

If one of these students is selected at random, what is the probability that the student is in 11th grade and in the choir?

  1. 415\frac{4}{15}Answer
  2. 715\frac{7}{15}
  3. 2855\frac{28}{55}
  4. 2935\frac{29}{35}

How to solve it

  1. And means one cell: the 11th-grade row and the choir column. That cell is 28.
  2. The student is chosen from all the students, so the total is the corner, 105.
  3. Probability =28105=415= \frac{28}{105} = \frac{4}{15}.

Why each choice is right or wrong

  • A. Correct. 28 students are in 11th grade and in the choir, out of 105 students, and 28105=415\frac{28}{105} = \frac{4}{15}.
  • B. Incorrect. This divides 28 by 60, the 11th-grade total: 2860=715\frac{28}{60} = \frac{7}{15}. That would be the answer for a student chosen only from the 11th graders, but this student is chosen from all 105.
  • C. Incorrect. This divides 28 by 55, the choir total: 2855\frac{28}{55}. That would be the answer for a student chosen only from the choir.
  • D. Incorrect. This is the probability of 11th grade or choir: 60+55−28=8760 + 55 - 28 = 87, and 87105=2935\frac{87}{105} = \frac{29}{35}. And needs both at once, which is the single cell.

Worked example Medium

A survey asked 160 adults whether they own a bike and whether they own a car. The results are shown.

Survey answerOwns a carNo carTotal
Owns a bike264470
No bike306090
Total56104160

If one of these adults is selected at random, what is the probability that the adult owns a bike or owns a car (or both)?

  1. 1380\frac{13}{80}
  2. 3780\frac{37}{80}
  3. 58\frac{5}{8}Answer
  4. 6380\frac{63}{80}

How to solve it

  1. Bike owners: the row total, 70. Car owners: the column total, 56.
  2. The 26 adults who own both are in both totals. Add the totals and subtract them once: 70+56−26=10070 + 56 - 26 = 100.
  3. Check by adding the separate cells, 26+44+30=10026 + 44 + 30 = 100, or by removing the 60 adults who own neither: 160−60=100160 - 60 = 100.
  4. Probability =100160=58= \frac{100}{160} = \frac{5}{8}.

Why each choice is right or wrong

  • A. Incorrect. 26160=1380\frac{26}{160} = \frac{13}{80} is the probability of owning a bike and a car. Or includes everyone who owns either one.
  • B. Incorrect. This counts only the adults who own exactly one of the two: 44+30=7444 + 30 = 74, and 74160=3780\frac{74}{160} = \frac{37}{80}. The question says or both, so the 26 adults who own both count too.
  • C. Correct. 70+56−26=10070 + 56 - 26 = 100 adults own a bike, a car or both, and 100160=58\frac{100}{160} = \frac{5}{8}.
  • D. Incorrect. This adds the bike total and the car total, 70+56=12670 + 56 = 126, without subtracting the 26 adults who are in both. They are counted twice, which gives 126160=6380\frac{126}{160} = \frac{63}{80}.

Trap Counting the overlap twice

Adding a row total and a column total counts their shared cell twice. Subtract it once, or add the separate cells instead. The double-counted answer is often one of the choices, and it can still be less than 1, so it won't always look wrong.

Trap Using a row or column total for and

When the choice is from everyone, and is a single cell over the grand total. Dividing that cell by its row or column total answers a different question, one with given that, which Lesson 3 covers.

Desmos When Desmos isn’t faster

There is nothing to graph. Finding the right cells and totals is the whole question, and that happens on the table.

Desmos can still do the adding. Type a line such as 70 + 56 − 26 to check an or count, or type the final fraction to see its decimal value when the choices are decimals.

Your progress

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

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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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