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98 questions across four modules, in the same order and on the same timing as the digital SAT, 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

A quick run every 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 on the digital 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

9 easy, 9 medium, 9 hard and 9 challenging questions free every day, each with a full explanation. Filter by section, domain, skill and difficulty. Resets at midnight Central Time.

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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.

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
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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 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 same order as the digital SAT: 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 are built from harder material in every module.

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.

Nonlinear functions · Lesson 3

Exponential growth and decay

An exponential function has the form f(x)=a⋅bxf(x) = a \cdot b^x, with bb positive and not 1. The initial value aa is the output when x=0x = 0, because b0=1b^0 = 1. The growth factor bb is what the output is multiplied by each time xx goes up by 1.

If b>1b > 1, the function grows. If bb is between 0 and 1, it decays. The graph of y=a⋅bxy = a \cdot b^x (with aa positive) crosses the yy-axis at (0,a)(0, a) and gets closer and closer to the xx-axis on one side without touching it.

Percent change. A growth of rr percent per step multiplies by 1+r1 + r, with rr as a decimal: 6% growth means b=1.06b = 1.06. A decay of rr percent multiplies by 1−r1 - r: a 15% decrease means b=0.85b = 0.85. Read it backward too: b=0.85b = 0.85 means 85% remains, so the decrease is 15%.

Other time periods. In f(t)=a(b)t/kf(t) = a(b)^{t/k}, the output is multiplied by bb every kk units of tt. If tt is in hours, 500(2)t/3500(2)^{t/3} doubles every 3 hours, not every hour. To find the factor for some other period, use exponent rules: over 6 hours the factor is 26/3=22=42^{6/3} = 2^2 = 4.

Linear or exponential? A linear function adds the same amount each step. An exponential function multiplies by the same factor each step. Growing by 50 dollars a year is linear; growing by 5% of the current value a year is exponential. When a linear and an exponential function grow from the same start, the exponential one eventually becomes much larger.

Linear y = 100 + 100x and exponential y = 100(2)^x from the same start123420040060080010000xy(0, 100)(1, 200)(2, 300)(2, 400)(3, 400)(3, 800)
Linear y=100+100xy = 100 + 100x and exponential y=100(2)xy = 100(2)^x from the same start A straight line and an upward-curving exponential curve, both starting at (0, 100) and both passing through (1, 200). At x = 2 the line is at (2, 300) and the curve at (2, 400); at x = 3 the line is at (3, 400) and the curve at (3, 800). The curve then leaves the top of the window between x = 3 and x = 4.

Worked example Easy

The value, in dollars, of a car tt years after it was purchased is modeled by the function V(t)=24,000(0.85)tV(t) = 24{,}000(0.85)^t.

Which of the following is the best interpretation of 0.85 in this context?

  1. The car's value decreases by 85% each year.
  2. The car's value decreases by 15% each year.Answer
  3. The car's value decreases by 3,600 dollars each year.
  4. The car's value decreases by 0.85% each year.

How to solve it

  1. 0.85 is the factor the value is multiplied by each year.
  2. Multiplying by 0.85 keeps 85% of the value, so 15% is lost.
  3. 0.85=1−0.150.85 = 1 - 0.15, so the value decreases by 15% each year.

Why each choice is right or wrong

  • A. Incorrect. 85% is the part that remains each year. A decrease of 85% would multiply by 1−0.85=0.151 - 0.85 = 0.15.
  • B. Correct. Multiplying by 0.85=1−0.150.85 = 1 - 0.15 means each year the car keeps 85% of its value and loses 15%.
  • C. Incorrect. 3,600 dollars is 15% of 24,000, the drop in the first year only. After that the value is smaller, so 15% of it is less than 3,600. A fixed drop each year would be linear.
  • D. Incorrect. This reads the factor 0.85 as if it were the percent. A 0.85% decrease would multiply by 1−0.0085=0.99151 - 0.0085 = 0.9915 each year. The factor 0.85 keeps 85% of the value, a 15% decrease.

Worked example Medium

The graph of y = f(x)−3−2−112−2246810121416180xy(0, 3)(1, 6)(2, 12)
The graph of y=f(x)y = f(x) An increasing curve that gets steeper as x increases. It passes through (0, 3), (1, 6) and (2, 12). To the left it gets closer and closer to the x-axis without touching it. The window shows x from -3 to 2.5.

The graph of the function ff is shown. Which equation defines ff?

  1. f(x)=2(3)xf(x) = 2(3)^x
  2. f(x)=3x+3f(x) = 3x + 3
  3. f(x)=3(2)xf(x) = 3(2)^xAnswer
  4. f(x)=6(2)xf(x) = 6(2)^x

How to solve it

  1. From 6 to 12 and from 3 to 6, each step of 1 in xx doubles the output. A constant factor means exponential, with b=2b = 2.
  2. The yy-intercept is (0,3)(0, 3), so a=3a = 3.
  3. f(x)=3(2)xf(x) = 3(2)^x. Check: f(2)=3(4)=12f(2) = 3(4) = 12.

Why each choice is right or wrong

  • A. Incorrect. This swaps the initial value and the factor. 2(3)x2(3)^x gives f(0)=2f(0) = 2 and f(2)=18f(2) = 18. It matches the point (1,6)(1, 6), which is why checking one point isn't enough.
  • B. Incorrect. This line passes through (0,3)(0, 3) and (1,6)(1, 6), but it adds 3 each step, so f(2)=9f(2) = 9, not 12. The graph is curved because it doubles each step.
  • C. Correct. The initial value is 3, the output doubles each time xx increases by 1, and 3(2)2=123(2)^2 = 12 matches the third point.
  • D. Incorrect. This uses f(1)=6f(1) = 6 as the initial value. The initial value is f(0)f(0), which is 3, and 6(2)0=66(2)^0 = 6 doesn't match the yy-intercept.

Worked example Hard

The mass, in grams, of a radioactive sample dd days after it was measured is modeled by M(d)=640(0.5)d/6M(d) = 640(0.5)^{d/6}.

By what percent does the mass of the sample decrease every 12 days?

  1. 25%
  2. 50%
  3. 75%Answer
  4. 100%

How to solve it

  1. The exponent d6\frac{d}{6} means the mass is multiplied by 0.5 every 6 days.
  2. 12 days is two 6-day periods, so the factor is (0.5)12/6=(0.5)2=0.25(0.5)^{12/6} = (0.5)^2 = 0.25.
  3. A factor of 0.25 keeps 25% of the mass, so the decrease is 100%−25%=75%100\% - 25\% = 75\%. Check: 640 grams becomes 640(0.25)=160640(0.25) = 160 grams after 12 days, a loss of 480 grams, which is 75% of 640.

Why each choice is right or wrong

  • A. Incorrect. 25% is the part of the mass that remains after 12 days. The decrease is the other 75%.
  • B. Incorrect. 50% is the decrease every 6 days. 12 days is two of those periods.
  • C. Correct. Over 12 days the factor is (0.5)2=0.25(0.5)^2 = 0.25, so 25% remains and the mass decreases by 75%.
  • D. Incorrect. This adds the 50% decrease twice, 50%+50%=100%50\% + 50\% = 100\%. Each halving takes half of what is left: after the first 6 days half remains, and the next 6 days take half of that, so a quarter is still left.

Trap Confusing the factor with the percent

The factor is not the percent change. b=1.06b = 1.06 means a 6% increase, and b=0.94b = 0.94 means a 6% decrease. A factor of 0.06 would mean losing 94% each step. Subtract the factor from 1 (or 1 from it) before you name a percent.

Trap Ignoring the period in the exponent

In 1500(1.2)t/31500(1.2)^{t/3} the 20% growth happens every 3 units of tt, not every unit. And percents over several periods multiply, they don't add: two 20% increases give 1.22=1.441.2^2 = 1.44, a 44% increase, not 40%.

Desmos When Desmos is faster

To find when a model reaches a value, graph both: type y = 24000(0.85)^x and y = 12000, then click the intersection. Desmos shows its coordinates rounded to a few decimals. Exponential graphs get large fast, so zoom out or set the window in the graph settings (the wrench icon).

Desmos also computes factors for other periods: type 0.5^(12/6) and it shows 0.25.

Desmos doesn't help with interpret the 0.85 questions. Those come from the rule: factor =1+r= 1 + r for growth, 1−r1 - r for decay.

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Privacy Policy

Last updated October 7, 2026

Peakscor is an independent SAT® and AP® practice website at peakscor.com, built and run by its student founders in Houston, Texas. This policy explains what we collect, why, and what you can do about it. If anything here is unclear, email support@peakscor.com.

The short version

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Some things are saved only in your browser’s local storage and are never sent to us: the calculator’s layout and saved entries, your practice difficulty, timing and exam (SAT or AP) choices, your best scores on the Daily, today’s practice numbers, a test in progress, the questions you’ve seen recently, and the copies of missed questions in your mistake notebook. Your game and study settings, your practice and full-test results, your study plan and your diagnostic result are kept in your browser too, and a copy is saved to your guest account or account so they can follow you to another device (see below). You can remove the browser copies by clearing your browser’s site data for peakscor.com.

Your daily free-question count is kept in your browser and on our servers, counted per account and per browser, so the free limit works the same in a private window. The browser is identified only by a scrambled (hashed) version of its random ID, and each count is just a number of questions per difficulty for that day.

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So your progress can save, Peakscor creates an anonymous guest account in the background when you visit. It has no name or email address. It is tied to a random ID created when you first visit. It stores:

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Like any website, our hosting providers process your IP address and basic request details (such as browser type) to deliver pages and keep the service secure. A sign-in token for your guest account or account is kept in your browser’s local storage. When someone makes an account, we keep the email address they signed up with and scrambled (hashed) versions of their IP address and browser ID for up to 31 days, only to stop disposable email addresses and limit how many accounts one network or browser can create. If a page breaks, your browser may send us a short error report: what went wrong, which page it happened on (without anything after the “?” in the address), the site version and your browser type. Email addresses and sign-in tokens are removed from it, and it doesn’t include your user ID or email address. We keep error reports for about 30 days. We don’t use advertising cookies or third-party analytics tools.

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Only to run Peakscor: to sign you in, save and sync your progress, grade questions, show leaderboards, keep the service secure and fair, handle payments if you buy a plan, and reply when you contact us. We don’t use your data for advertising, and we don’t use it to train AI models.

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We don’t sell or rent personal information. We use a small number of service providers who process data only to run Peakscor:

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We may also share information if the law requires it, or to protect the safety of students or the security of the service.

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Game leaderboards are public and show your display name and your scores. They never show your email address. If you join a class, its teacher sees the summary described under “Classes”. Nothing else about your account is public.

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Peakscor is meant for students 13 and older, and we don’t knowingly collect personal information from children under 13. If you believe a child under 13 has made an account, email us and we will delete it.

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We keep account and guest data until it is deleted. When you delete your account, it is erased from our database right away. Copies in our providers’ encrypted backups are overwritten on their normal schedule, usually within a few weeks.

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Last updated October 5, 2026

These terms cover your use of Peakscor at peakscor.com. By using Peakscor, you agree to them. If you don’t agree, please don’t use the site.

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How our questions are made

Last updated October 5, 2026

Every question, passage, explanation and lesson on Peakscor is original SAT-style practice. None of it is an official SAT® or AP® question, and we are not affiliated with the College Board.

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Scores

Scores on Peakscor are estimates based on how you do on our practice questions. They are not official scores and don’t predict an exact result.

Found a problem?

If a question looks wrong, or you think something is too close to published material, email support@peakscor.com. We reply within one business day and take reported content down while we review it.