Last updated: October 22, 2026 · Written by the Math Made Easy math teachers
Looking for an irrational numbers quiz? Then this Grade 8 quiz on Rational and Irrational Numbers Explained asks 10 multiple-choice questions with instant feedback. Ten quick questions on rational and irrational numbers. Pick one answer for each. Read the explanation after each question, because it names the mistake behind the wrong choices.
Standards: 8.NS.A.1, 8.NS.A.2 · Level: Grade 8
What this Rational and Irrational Numbers Explained quiz checks
- Rational: a fraction of integers; decimal stops or repeats.
- Irrational: decimal never stops and never repeats (π, √2, √35).
- The square root of a non-perfect square is irrational.
- Multiply a repeating decimal by 10, 100 or 1,000, then subtract to find its fraction.
- Estimate √n by trapping it between two perfect squares.
The 10 questions of the quiz
- Pick the irrational number from this list.
- Convert 0.444… into a fraction.
- Which of these decimals names a rational number?
- Name the consecutive integers that trap √70.
- Which multiplier starts the fraction conversion of 0.737373…?
- Which comparison with 3.9 holds?
- Reduce 0.75 to a simple fraction.
- Choose the decimal closest to √19.
- The point P on the number line is closest to which value?
- The point M is at about 6.3. Which root is it?
After the quiz
Missed a question? Reread the Rational and Irrational Numbers Explained lesson, then take the quiz again. Next, solve the Grade 8 worksheet on Rational and Irrational Numbers Explained, one star first, then two and three stars. Finally, take the chapter test under real conditions, without notes and with a timer.
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