Square Roots and Cube Roots: Grade 8 Math Quiz – PDF Download
Ten multiple-choice questions check square roots, cube roots and the equations \(x^{2}=p\) and \(x^{3}=p\). Some questions use a figure. Pick the one correct answer, then read the explanation to learn from any mistake. Aim for 8 out of 10.
Grade 8Common Core: 8.EE.A.2
🎯 Square Roots and Cube Roots – Grade 8 math quiz
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Question 1
What is the value of \(\sqrt{64}\)?
A32
B4
C8
D128
Question 2
What is the value of \(\sqrt[3]{-125}\)?
A\(-5\)
B\(5\)
C\(-25\)
D\(25\)
Question 3
Which shows all solutions of \(x^{2}=100\)?
A\(x=10\) only
B\(x=50\)
C\(x=-10\) only
D\(x=10\) or \(x=-10\)
Question 4
Which shows all solutions of \(x^{3}=343\)?
A\(x=7\) or \(x=-7\)
B\(x=49\)
C\(x=7\)
D\(x=\frac{343}{3}\)
Question 5
The square has an area of 36 square feet. What is its side length?A square with area 36 square feet.
A18 ft
B12 ft
C72 ft
D6 ft
Question 6
The cube has a volume of 64 cubic inches. What is its edge length?A cube with volume 64 cubic inches.
A16 in
B4 in
C8 in
D32 in
Question 7
Between which two consecutive integers is \(\sqrt{20}\)?The point for \(\sqrt{20}\).
A3 and 4
B4 and 5
C5 and 6
D9 and 10
Question 8
Which of these numbers is irrational?A square with area 2 has side \(\sqrt{2}\).
A\(\sqrt{2}\)
B\(\sqrt{49}\)
C\(\sqrt[3]{27}\)
D\(\sqrt{\frac{1}{4}}\)
Question 9
What is the positive solution of \(x^{2}=\frac{9}{64}\)?
A\(\frac{9}{8}\)
B\(\frac{3}{8}\)
C\(\frac{3}{32}\)
D\(\frac{9}{32}\)
Question 10
A square floor has an area of 225 square feet. How long is each side?Square floor, area 225 square feet.
A15 ft
B112.5 ft
C60 ft
D25 ft
🎉 Quiz complete!
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Remember:
Standard 8.EE.A.2: solve \(x^{2}=p\) and \(x^{3}=p\) for small perfect squares and perfect cubes, and know that \(\sqrt{2}\) is irrational.
The equation \(x^{2}=p\) with \(p>0\) has two solutions, \(\sqrt{p}\) and \(-\sqrt{p}\); \(x^{3}=p\) has exactly one.
