6th Grade Exponents and Order of Operations Quiz: 10 Questions with Explanations

A \(12\)B \(81\)C \(7\)D \(64\)

\(4 \times 4 \times 4 = 64\). 12 is \(4 \times 3\).

A \(20\)B \(14\)C \(24\)D \(10\)

Multiply first: \(3 \times 4 = 12\), then \(2 + 12 = 14\). Left-to-right gives 20.

A \(16\)B \(4\)C \(2\)D \(64\)

\(25 – 9 = 16\). Squaring (\(5 – 3\)) gives 4, which is a different expression.

A \(36\)B \(26\)C \(11\)D \(10\)

5^\(2 = 25\), \(25 + 1 = 26\). Computing (x + 1)^2 gives 36.

A 9 cubic feetB 18 cubic feetC 12 cubic feetD 27 cubic feet

V = 3^\(3 = 27\). The value 9 is 3^2, and 18 is \(3 \times 6\).

A \(\frac{2}{3}\)B \(\frac{1}{9}\)C \(\frac{1}{6}\)D \(\frac{1}{3}\)

1/\(3 \times 1\)/\(3 = 1\)/9.

A \(8\)B \(2\)C \(12\)D \(22\)

Parentheses: 5. Then \(20 \div 5 = 4\) and \(4 \times 2 = 8\).

A 4B 28C 7D 11

The base is the number being multiplied: 7. The exponent 4 tells how many factors.

A \(4\)B \(20\)C \(16\)D \(36\)

\(3 \times 6 – 2 = 16\).

A \(10{,}000\)B \(40\)C \(1{,}000\)D \(100{,}000\)

10^4 has four zeros.