Rational and Irrational Numbers: Grade 8 Math Quiz – PDF Download
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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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!
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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.
