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Free US Common Core Common Core US Math
Practice Paper

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

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What the real US Common Core Common Core US 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: 6 questions

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

Q1 · Difficulty 1/3

What is the area of a circle with radius 5?

  1. 50π
  2. 25π
  3. 10π
  4. 5π
Show answer & explanation
✓ Answer: B — 25π
Area = πr² = π(5²) = 25π ≈ 78.54 square units.
Q2 · Difficulty 1/3

What is the sum of the interior angles of a triangle?

  1. 270°
  2. 90°
  3. 360°
  4. 180°
Show answer & explanation
✓ Answer: D — 180°
The interior angles of any triangle always sum to 180°.
Q3 · Difficulty 1/3

What is the Pythagorean theorem?

  1. a² + b² = c²
  2. a × b = c
  3. 2a + 2b = c
  4. a + b = c
Show answer & explanation
✓ Answer: A — a² + b² = c²
In a right triangle, the sum of the squares of the two legs equals the square of the hypotenuse: a² + b² = c².
Q4 · Difficulty 2/3

Two triangles are similar. If one has sides 3, 4, 5 and the other has a shortest side of 6, what is its longest side?

  1. 8
  2. 10
  3. 12
  4. 15
Show answer & explanation
✓ Answer: B — 10
Scale factor = 6/3 = 2. Longest side = 5 × 2 = 10.
Q5 · Difficulty 2/3

What is the distance between points (1, 2) and (4, 6)?

  1. 5
  2. 25
  3. 3
  4. 7
Show answer & explanation
✓ Answer: A — 5
Distance = √((4-1)² + (6-2)²) = √(9 + 16) = √25 = 5.
Q6 · Difficulty 1/3

What is the volume of a rectangular prism with length 4, width 3, and height 5?

  1. 45
  2. 12
  3. 60
  4. 35
Show answer & explanation
✓ Answer: C — 60
Volume = length × width × height = 4 × 3 × 5 = 60 cubic units.
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US Common Core Common Core US Math FAQ

What does the US Common Core Common Core US Math exam look like?
The US Common Core Common Core US 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 US Common Core Common Core US Math past paper?
Real US Common Core past papers are published directly by US Common Core 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 US Common Core Common Core US 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.