Kramizo
Log inSign up free
Home › US Common Core Common Core US Math › Practice Paper
US Common Core · Common Core · US Math

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.

Take a Mini Mock →

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: 8 questions

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

Q1 · Difficulty 1/3

Convert 3/8 to a decimal

  1. 0.375
  2. 0.38
  3. 0.35
  4. 0.333
Show answer & explanation
✓ Answer: A — 0.375
3 ÷ 8 = 0.375. This is a terminating decimal because 8 has only factors of 2.
Q2 · Difficulty 1/3

What is the slope-intercept form of a linear equation?

  1. ax + by = c
  2. y = mx + b
  3. x = y + m
  4. y - y₁ = m(x - x₁)
Show answer & explanation
✓ Answer: B — y = mx + b
Slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept.
Q3 · Difficulty 1/3

What is the median?

  1. The most common value
  2. The middle value when data is ordered
  3. The average
  4. The range
Show answer & explanation
✓ Answer: B — The middle value when data is ordered
The median is the middle value in an ordered data set. If there's an even number of values, it's the average of the two middle values.
Q4 · Difficulty 2/3

What does exponential growth look like on a graph?

  1. A straight line
  2. A curve that increases slowly at first, then rapidly
  3. A curve that decreases
  4. A horizontal line
Show answer & explanation
✓ Answer: B — A curve that increases slowly at first, then rapidly
Exponential growth (y = abˣ where b > 1) produces a J-shaped curve — starting slowly and increasing more and more rapidly.
Q5 · Difficulty 2/3

What is a normal distribution?

  1. A flat, even distribution
  2. A bell-shaped curve where most values cluster around the mean
  3. A distribution with two peaks
  4. A random scatter of data
Show answer & explanation
✓ Answer: B — A bell-shaped curve where most values cluster around the mean
A normal distribution forms a symmetrical bell curve. About 68% of data falls within 1 SD of the mean, 95% within 2 SDs, and 99.7% within 3 SDs.
Q6 · 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.
Q7 · Difficulty 1/3

What is the mean of the data set: 4, 8, 6, 10, 2?

  1. 5
  2. 6
  3. 7
  4. 8
Show answer & explanation
✓ Answer: B — 6
Mean = sum ÷ count = (4 + 8 + 6 + 10 + 2) ÷ 5 = 30 ÷ 5 = 6.
Q8 · Difficulty 1/3

If f(x) = 3x - 2, what is f(5)?

  1. 17
  2. 13
  3. 15
  4. 10
Show answer & explanation
✓ Answer: B — 13
f(5) = 3(5) - 2 = 15 - 2 = 13.
Build a 30-question timed mock →
Free · No signup · Instant marking

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.