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The DailySTEP 1
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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.

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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

    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

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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.

Area and volume · Lesson 3

Volume of solids

Volume measures the space inside a solid, in cubic units. The reference sheet gives the volume of a rectangular prism, a cylinder, a sphere, a cone and a rectangular pyramid, and all of them belong to three families.

Prisms and cylinders have the same shape all the way up: V=BhV = Bh, the area of the base BB times the height hh. A rectangular prism has V=ℓwhV = \ell wh. A cylinder's base is a circle, so V=πr2hV = \pi r^2 h.

Cones and pyramids come to a point. Each holds one third of the cylinder or prism with the same base and height: V=13BhV = \frac{1}{3}Bh. So a cone has V=13πr2hV = \frac{1}{3}\pi r^2 h, and a pyramid with a rectangular base has V=13ℓwhV = \frac{1}{3}\ell wh. A cylinder with radius 2 and height 7 holds π(2)2(7)=28π\pi(2)^2(7) = 28\pi, and a cone with the same radius and height holds 28π3\frac{28\pi}{3}.

Spheres: V=43πr3V = \frac{4}{3}\pi r^3, with the radius cubed.

The height of a cone or pyramid runs straight from the tip to the base, at a right angle to the base. The slant height runs along the outside surface and is longer. Volume always uses the height. For a cone, the height, the radius and the slant height form a right triangle with the slant height as the hypotenuse, so the Pythagorean theorem finds whichever one is missing.

Worked example Easy

A right circular cylinder810
A right circular cylinder A right circular cylinder standing on one circular base. A segment across the top face through its center, a diameter, is labelled 10. The right side is labelled 8, the height. The back half of the bottom edge is dashed because it is hidden.

The right circular cylinder shown has a diameter of 10 inches and a height of 8 inches. What is the volume of the cylinder, in cubic inches?

  1. 80π80\pi
  2. 200π200\piAnswer
  3. 200π3\frac{200\pi}{3}
  4. 800π800\pi

How to solve it

  1. The radius is half the diameter: r=5r = 5.
  2. V=πr2h=π(5)2(8)=π(25)(8)=200πV = \pi r^2 h = \pi(5)^2(8) = \pi(25)(8) = 200\pi.

Why each choice is right or wrong

  • A. Incorrect. This is 2πrh=2π(5)(8)=80π2\pi rh = 2\pi(5)(8) = 80\pi, the area of the curved side, not the volume. Volume squares the radius: πr2h\pi r^2 h.
  • B. Correct. With r=5r = 5, V=π(5)2(8)=200πV = \pi(5)^2(8) = 200\pi cubic inches.
  • C. Incorrect. This uses the cone formula, 13πr2h\frac{1}{3}\pi r^2 h. A cylinder doesn't come to a point, so there is no 13\frac{1}{3}.
  • D. Incorrect. This uses the diameter as the radius: π(10)2(8)=800π\pi(10)^2(8) = 800\pi. Halve the diameter first.

Worked example Medium

A right circular cone106h
A right circular cone A right circular cone with its tip at the top. A radius of the base is labelled 6. The slanted side on the right, from the base to the tip, is labelled 10. A dashed segment labelled h runs from the tip straight down to the center of the base, with a right-angle mark where it meets the radius. The back half of the base's edge is dashed because it is hidden.

The right circular cone shown has a base radius of 6 centimeters and a slant height of 10 centimeters. What is the volume of the cone, in cubic centimeters?

  1. 96π96\piAnswer
  2. 120π120\pi
  3. 288π288\pi
  4. 360π360\pi

How to solve it

  1. Volume needs the height, not the slant height. The height, the radius and the slant height form a right triangle with the slant height as the hypotenuse: h2+62=102h^2 + 6^2 = 10^2, so h2=64h^2 = 64 and h=8h = 8.
  2. V=13π(6)2(8)=13π(36)(8)=96πV = \frac{1}{3}\pi(6)^2(8) = \frac{1}{3}\pi(36)(8) = 96\pi.

Why each choice is right or wrong

  • A. Correct. The height is 8, from h2+62=102h^2 + 6^2 = 10^2, and 13π(36)(8)=96π\frac{1}{3}\pi(36)(8) = 96\pi cubic centimeters.
  • B. Incorrect. This uses the slant height as the height: 13π(36)(10)=120π\frac{1}{3}\pi(36)(10) = 120\pi. The height runs straight down from the tip, and it is 8.
  • C. Incorrect. This leaves out the 13\frac{1}{3}: π(36)(8)=288π\pi(36)(8) = 288\pi is the volume of a cylinder with the same base and height.
  • D. Incorrect. This leaves out the 13\frac{1}{3} and uses the slant height as the height: π(36)(10)=360π\pi(36)(10) = 360\pi.

Trap Slant height used as the height

When a cone or pyramid has a slanted edge labelled, that length is not the height. The height meets the base at a right angle. If it isn't given, find it with the Pythagorean theorem before you use the volume formula.

Trap The one third in the wrong place

Cones and pyramids get the 13\frac{1}{3}; cylinders and prisms don't. Using the wrong family's formula gives a value exactly 3 times the correct answer, or one third of it, and that value is a common wrong choice.

Desmos When Desmos isn’t faster

When the dimensions are given, plugging into the formula by hand is faster than typing.

Desmos helps when you work backward and need a root. If 43πr3=36π\frac{4}{3}\pi r^3 = 36\pi, then r3=27r^3 = 27. Type cbrt 27 and Desmos shows 3, the radius. For a square root, type sqrt the same way.

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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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