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
What is the domain of a function?
- All possible output values
- All possible input values
- The slope of the function
- The y-intercept
Show answer & explanation
✓ Answer: B — All possible input values
The domain is the set of all possible input (x) values for which the function is defined. The range is the set of all possible output (y) values.
Q2 · Difficulty 1/3
What type of function is f(x) = x²?
- Linear
- Quadratic
- Exponential
- Logarithmic
Show answer & explanation
✓ Answer: B — Quadratic
f(x) = x² is a quadratic function. Its graph is a parabola. The highest power of x is 2.
Q3 · Difficulty 1/3
What is the sum of the interior angles of a triangle?
- 360°
- 180°
- 270°
- 90°
Show answer & explanation
✓ Answer: B — 180°
The interior angles of any triangle always sum to 180°.
Q4 · Difficulty 2/3
What is the distance between points (1, 2) and (4, 6)?
- 7
- 5
- 25
- 3
Show answer & explanation
✓ Answer: B — 5
Distance = √((4-1)² + (6-2)²) = √(9 + 16) = √25 = 5.
Q5 · Difficulty 2/3
What is the inverse of f(x) = 2x + 4?
- f⁻¹(x) = (x + 4)/2
- f⁻¹(x) = (x - 4)/2
- f⁻¹(x) = 2x - 4
- f⁻¹(x) = x/2 + 4
Show answer & explanation
✓ Answer: B — f⁻¹(x) = (x - 4)/2
To find the inverse: replace f(x) with y, swap x and y: x = 2y + 4. Solve for y: y = (x - 4)/2.
Q6 · Difficulty 2/3
Solve the system: y = 2x + 1 and y = -x + 7
- (2, 5)
- (3, 4)
- (1, 3)
- (4, 3)
Show answer & explanation
✓ Answer: A — (2, 5)
Set equal: 2x + 1 = -x + 7. Add x: 3x + 1 = 7. Subtract 1: 3x = 6. x = 2. y = 2(2) + 1 = 5.
Q7 · Difficulty 3/3
What is an imaginary number?
- A number that does not exist
- A number involving i, where i = √(−1)
- A very large number
- A decimal that never ends
Show answer & explanation
✓ Answer: B — A number involving i, where i = √(−1)
Imaginary numbers use i where i² = −1. Complex numbers have the form a + bi. They are used in advanced math, physics, and engineering.
Q8 · Difficulty 1/3
What is scientific notation?
- Writing numbers as fractions
- Expressing very large or small numbers as a × 10ⁿ where 1 ≤ a < 10
- Rounding to the nearest ten
- Using Roman numerals
Show answer & explanation
✓ Answer: B — Expressing very large or small numbers as a × 10ⁿ where 1 ≤ a < 10
Scientific notation: 3,200,000 = 3.2 × 10⁶. 0.00045 = 4.5 × 10⁻⁴. It makes very large or very small numbers easier to work with.
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.