This grade 8 irrational numbers quiz asks 10 multiple-choice questions on rational and irrational numbers, and each answer comes with a short explanation.
This 10-question quiz checks rational and irrational numbers for Grade 8: classifying numbers, converting repeating decimals, estimating square roots and comparing. Choose the one correct answer for each question, then read the explanation.
Grade 8Common Core: 8.NS.A.1 · 8.NS.A.2
🎯 Rational and Irrational Numbers – Grade 8 math quiz
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Answered: 0 / 10
Question 1
Which of these numbers is irrational?Rational and irrational numbers.
A\(\sqrt{16}\)
B\(\sqrt{17}\)
C\(0.\overline{27}\)
D\(-\frac{9}{4}\)
Question 2
What is \(\frac{3}{11}\) as a decimal?
A\(0.27\)
B\(0.\overline{3}\)
C\(0.\overline{27}\)
D\(0.2727\)
Question 3
Which fraction equals \(0.\overline{6}\)?
A\(\frac{3}{5}\)
B\(\frac{1}{6}\)
C\(\frac{2}{3}\)
D\(\frac{6}{100}\)
Question 4
Which fraction equals \(0.\overline{35}\)?
A\(\frac{35}{100}\)
B\(\frac{35}{99}\)
C\(\frac{35}{90}\)
D\(\frac{35}{999}\)
Question 5
Between which two integers is \(\sqrt{45}\)?
A\(5 and 6\)
B\(7 and 8\)
C\(22 and 23\)
D\(6 and 7\)
Question 6
What is \(\sqrt{10}\) to the nearest tenth?The root of 10 is near 3.16.
A\(3.1\)
B\(3.3\)
C\(3.2\)
D\(3.0\)
Question 7
Which number is the greatest?
A\(2.8\)
B\(2.\overline{7}\)
C\(\frac{11}{4}\)
D\(\sqrt{8}\)
Question 8
Which rational number is between \(\sqrt{3}\) and \(\sqrt{5}\)?
A\(1.7\)
B\(2.3\)
C\(1.5\)
D\(2.1\)
Question 9
Which statement about irrational numbers is true?
ATheir decimal form never ends and never repeats.
BTheir decimal form always ends after a few digits.
CEvery decimal that never ends is irrational.
DThey can be written as a fraction of integers.
Question 10
A square floor tile has an area of 72 square inches. About how long is each side?The tile.
A\(8.5\text{ in}\)
B\(36\text{ in}\)
C\(8\text{ in}\)
D\(9\text{ in}\)
🎉 Quiz complete!
0 / 10
How does this quiz work?
Read each question, choose one answer among A, B, C and D, then check it: a short explanation appears after every answer. Your score out of 10 is shown at the end, and you can restart the quiz as often as you like.
What should you review before the quiz?
Reread the key facts of the lesson and the worked example. If a question is hard, go back to the matching part of the lesson, then try the quiz again. Write your work on scrap paper: most mistakes come from skipping a step, not from the idea itself.
Remember:
Standards 8.NS.A.1 and 8.NS.A.2: tell rational from irrational numbers and approximate irrational numbers.
Every repeating decimal equals a fraction, such as \(0.\overline{3}\) = 1/3.
The square root of a whole number that is not a perfect square is irrational.
Bracket a square root between two decimals whose squares surround the number.
To compare two numbers, use decimals or square both positive numbers.
How to use this grade 8 irrational numbers quiz
Retake this grade 8 irrational numbers quiz until every answer is right, then move on to the worksheet and the test.
