7th Grade Multistep Problems with Rational Numbers Quiz: 10 Questions with Explanations

A \(60\%\)B \(35\%\)C \(0.6\%\)D \(6\%\)

\(3 \div 5 = 0.6\), and \(0.6 \times 100 = 60\%\).

A \(150\)B \(50\)C \(200\)D \(15\)

Round to \(50 \times 3 = 150\). The others are off by a factor of 3 or 10.

A \(0.8\)B \(1\)C \(1.25\)D \(0.75\)

All three are in different forms: \(0.25 + 0.5 + 0.25 = 1\).

A \(\$14.00\)B \(\$12.00\)C \(\$18.00\)D \(\$13.20\)

Sale price is \(0.60 \times 20 = 12\); tax makes it \(1.10 \times 12 = 13.20\).

A \(\$50\)B \(\$15\)C \(\$125\)D \(\$75\)

The overtime rate is \(10 \times 1.5 = 15\), and \(15 \times 5 = 75\).

A \(0.85\)B \(80\%\)C \(\frac{7}{8}\)D \(\frac{3}{4}\)

\(\frac{7}{8} = 0.875\), greater than 0.85, 0.80, and 0.75.

A \(\$7\)B \(\$15\)C \(\$8\)D \(\$35\)

The new balance is \(35\) and \(\frac{1}{5} \times 35 = 7\).

A \(20 – \frac{3}{4}\)B \(20 – \frac{3}{4} \times 20\)C \(\frac{3}{4} \times 20\)D \(20 \div \frac{3}{4}\)

Used is \(\frac{3}{4} \times 20 = 15\), so left is \(20 – 15 = 5\).

A No, because it should be about 100B Yes, because \(50 \div 5 = 10\)C No, because it should be about 1D Yes, because \(50 \times 5 = 250\)

Rounding to compatible numbers gives \(50 \div 5 = 10\), and the exact value is about 10.7.

A \(2\)B \(-0.5\)C \(-2\)D \(-5.12\)

\(3.2 \times \frac{5}{8} = 2\) and the signs differ, so the answer is negative.