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Free College Board SAT Math
Practice Paper

8 mixed-difficulty practice questions in the style of real College Board SAT papers — answers, mark-scheme-style explanations, and the official exam structure all on one page.

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What the real College Board SAT Math paper looks like

Paper 1
Objective and short-answer questions covering the breadth of the specification.
Paper 2
Structured and extended-response questions testing depth of understanding.
Total exam time varies by board and tier — typically 2.5 to 3.5 hours.
Grading: See the official board specification for the current grading scale.

Mini practice paper: 8 questions

Mixed-difficulty questions from across the Math syllabus. Tap "Show answer" after each to check yourself.

Q1 · Difficulty 1/3

Simplify (x³)(x⁴).

  1. x⁷
  2. x¹²
  3. x¹
  4. x⁶
Show answer & explanation
✓ Answer: A — x⁷
Multiply powers with same base: add exponents → x^(3+4) = x⁷.
Q2 · Difficulty 1/3

A bag has 3 red and 7 blue marbles. What is the probability of drawing a red marble?

  1. 3/7
  2. 1/3
  3. 3/10
  4. 7/10
Show answer & explanation
✓ Answer: C — 3/10
P(red) = 3/(3+7) = 3/10.
Q3 · Difficulty 1/3

Two angles of a triangle are 50° and 60°. The third is:

  1. 60°
  2. 70°
  3. 80°
  4. 90°
Show answer & explanation
✓ Answer: B — 70°
180 − 50 − 60 = 70°.
Q4 · Difficulty 1/3

A car travels 150 miles in 3 hours. What is its average speed?

  1. 50 mph
  2. 60 mph
  3. 75 mph
  4. 45 mph
Show answer & explanation
✓ Answer: A — 50 mph
150 ÷ 3 = 50 mph.
Q5 · Difficulty 1/3

If x² = 49, what are all real values of x?

  1. 7 only
  2. −7 only
  3. 7 and −7
  4. ±49
Show answer & explanation
✓ Answer: C — 7 and −7
Both 7 and −7 square to 49.
Q6 · Difficulty 1/3

If 3x + 7 = 22, what is the value of x?

  1. 3
  2. 5
  3. 7
  4. 15
Show answer & explanation
✓ Answer: B — 5
3x = 22 − 7 = 15, so x = 5.
Q7 · Difficulty 1/3

What is the slope of a horizontal line?

  1. 0
  2. 1
  3. undefined
  4. −1
Show answer & explanation
✓ Answer: A — 0
A horizontal line has slope 0.
Q8 · Difficulty 1/3

If x² − 16 = 0, the solutions are:

  1. 4 only
  2. −4 only
  3. 4 and −4
  4. 16 and −16
Show answer & explanation
✓ Answer: C — 4 and −4
x² = 16 → x = ±4.
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College Board SAT Math FAQ

What does the College Board SAT Math exam look like?
The College Board SAT Math exam is structured across 2 components. Paper 1: Objective and short-answer questions covering the breadth of the specification. Paper 2: Structured and extended-response questions testing depth of understanding. Total exam time varies by board and tier — typically 2.5 to 3.5 hours.
Can I download a free College Board SAT Math past paper?
Real College Board past papers are published directly by College Board on their official website. Kramizo doesn't redistribute copyrighted past papers, but we do generate free AI-written practice papers in the exact same style — same command words, same difficulty tier, same mark conventions. Use this practice paper as warm-up, then time yourself on official past papers before exam day.
How is College Board SAT Math graded?
See the official board specification for the current grading scale. Kramizo's practice questions are tagged with difficulty 1-3 mapping roughly to the lower, middle, and top grade boundaries you'll encounter in the real exam.