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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.

Free daily practice

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.

Real SAT timing

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.

Your progress

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

Games

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

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
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  • The Daily, every day
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  • 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.

Two-variable data · Lesson 3

Linear or exponential

Some data rise or fall along a curve instead of a line. This lesson focuses on telling linear from exponential. A curve that rises and then falls, or falls and then rises, can't be linear or exponential; on the SAT it is usually modeled by a quadratic.

Linear: add the same amount. For equal steps in xx, yy changes by the same amount each time. In 3, 8, 13, 18, each step adds 5. A linear model has the form y=a+bxy = a + bx, where bb is the change per unit of xx.

Exponential: multiply by the same factor. For equal steps in xx, yy is multiplied by the same factor each time. In 3, 6, 12, 24, each step multiplies by 2. An exponential model has the form y=a(b)xy = a(b)^x, where aa is the value when x=0x = 0 and bb is the factor for each increase of 1 in xx. It is growth when b>1b > 1 and decay when 0<b<10 < b < 1.

Test a table. First make sure xx goes up in equal steps. Then find the differences between consecutive yy-values. Equal differences mean linear. If the differences aren't equal, divide each yy-value by the one before it. Equal ratios mean exponential.

Read the words. A change by a fixed number each period (increases by 300 people per year) is linear. A change by a fixed percent (increases by 3% per year) is exponential, with factor 1+0.03=1.031 + 0.03 = 1.03. A decrease of 3% per year has factor 1−0.03=0.971 - 0.03 = 0.97.

Read the graph. For a model y=a(b)xy = a(b)^x with a>0a > 0, exponential growth curves upward more and more steeply, and exponential decay drops quickly at first and then levels off toward the xx-axis.

Testing a table: differences, then ratios
xxLinear: yyExponential: yy
033
18 (add 5)6 (times 2)
213 (add 5)12 (times 2)
318 (add 5)24 (times 2)

Worked example Easy

xxyy
05
115
245
3135

Which statement best describes the relationship between xx and yy in the table?

  1. Linear, because yy increases by the same amount each time xx increases by 1
  2. Linear, because xx increases by the same amount from each row to the next
  3. Exponential, because yy is multiplied by 3 each time xx increases by 1Answer
  4. Neither, because the differences between consecutive yy-values are not equal

How to solve it

  1. xx goes up by 1 each row, so the table can be tested.
  2. Differences: 15−5=1015 - 5 = 10, 45−15=3045 - 15 = 30, 135−45=90135 - 45 = 90. They are not equal, so the relationship is not linear.
  3. Ratios: 155=3\frac{15}{5} = 3, 4515=3\frac{45}{15} = 3, 13545=3\frac{135}{45} = 3. They are equal, so the relationship is exponential, y=5(3)xy = 5(3)^x.

Why each choice is right or wrong

  • A. Incorrect. This holds only if you stop after the first step, where yy rises by 10. The later increases are 30 and 90, so the amount is not the same.
  • B. Incorrect. Equal steps in xx are what make the table testable, not what makes it linear. Linear depends on how yy changes, and its differences are not equal.
  • C. Correct. Each yy-value is 3 times the one before: 5⋅3=155 \cdot 3 = 15, 15⋅3=4515 \cdot 3 = 45, 45⋅3=13545 \cdot 3 = 135. A constant factor means exponential.
  • D. Incorrect. Unequal differences rule out linear, but you still need the ratio test. The ratios are all 3, so the relationship is exponential.

Worked example Medium

The scatterplot shows the amount of a medication, in milligrams, in a patient's bloodstream xx hours after a dose, along with a curve of best fit.
Medication in the bloodstream after a dose, with a curve of best fit123456510152025303540455055606570758085900Hours after doseMedication (mg)(2, 20)(0, 80)
Medication in the bloodstream after a dose, with a curve of best fit Scatterplot of 6 data points: (0, 75), (1, 45), (2, 20), (3, 10), (4, 5) and (5, 5). A decreasing curve of best fit falls steeply at first and then levels off just above the x-axis. The curve passes through the open circle labelled (0, 80) and through the data point (2, 20), which is labelled.

Which equation could define the curve of best fit, where yy is the predicted amount of medication, in milligrams?

  1. y=80(0.5)xy = 80(0.5)^xAnswer
  2. y=80(0.25)xy = 80(0.25)^x
  3. y=80−30xy = 80 - 30x
  4. y=20(0.5)xy = 20(0.5)^x

How to solve it

  1. The graph is a curve that falls quickly and then levels off, the shape of exponential decay, y=a(b)xy = a(b)^x, not a line.
  2. At x=0x = 0 the curve is at 80, so a=80a = 80.
  3. From x=0x = 0 to x=2x = 2 the curve goes from 80 to 20, a factor of 2080=14\frac{20}{80} = \frac{1}{4} over 2 hours. Each hour multiplies by bb, so b2=14b^2 = \frac{1}{4} and b=0.5b = 0.5.
  4. Check: 80(0.5)2=80(0.25)=2080(0.5)^2 = 80(0.25) = 20.

Why each choice is right or wrong

  • A. Correct. It starts at 80 and halves each hour, so after 2 hours it is 80(0.5)2=2080(0.5)^2 = 20. It matches both points and is a decreasing curve that levels off.
  • B. Incorrect. This uses the 2-hour factor, 14\frac{1}{4}, as the factor for each hour. At x=2x = 2 it gives 80(0.25)2=580(0.25)^2 = 5, not 20.
  • C. Incorrect. This line passes through (0, 80) and (2, 20), but it is a straight line, not a curve that levels off. At x=3x = 3 it would predict −10-10 milligrams, which is impossible.
  • D. Incorrect. This uses 20, the value at x=2x = 2, as the starting value. At x=0x = 0 it gives 20, but the curve starts at 80.

Trap Checking only the first step

The first two values of an exponential table can make it look linear. Test every step: all the differences for linear, all the ratios for exponential.

Trap Percent versus amount

Increases by 5 each year is linear. Increases by 5% each year is exponential with factor 1.05, not 5 and not 0.05. Percent changes also multiply over time: two years of 10% growth give 1.1×1.1=1.211.1 \times 1.1 = 1.21, a 21% increase, not 20%.

Desmos When Desmos isn’t faster

Testing a table is quickest by hand: a few subtractions, then a few divisions. Desmos can still serve as a calculator for the ratios.

Desmos helps when you must pick an equation for given points. Add a table in Desmos with the points, then type each choice as y=…y = \ldots and see which graph passes through them. An exponential such as y=3(2)xy = 3(2)^x types as y = 3(2)^x, with the caret for the exponent.

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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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