5th Grade Line Plots and Data Quiz: 10 Questions with Explanations

A \(1\frac{1}{2}\) cupsB 6 cupsC \(2\frac{1}{2}\) cupsD \(2\frac{3}{4}\) cups

\(2 \times \frac{1}{4} + 3 \times \frac{1}{2} + \frac{3}{4} = \frac{1}{2} + 1\frac{1}{2} + \frac{3}{4} = 2\frac{3}{4}\). Adding \(\frac{1}{4} + \frac{1}{2} + \frac{3}{4}\) only once gives \(1\frac{1}{2}\).

A 2 cupsB \(\frac{1}{2}\) cupC \(\frac{3}{4}\) cupD \(\frac{1}{8}\) cup

The total is 2 cups. Divide by 4 glasses: \(2 \div 4 = \frac{1}{2}\) cup.

A 3B 6C 2D 1

Longer than \(\frac{1}{2}\) means only the marks \(\frac{5}{8}\) and \(\frac{3}{4}\): \(2 + 1 = 3\). Including the \(\frac{1}{2}\) mark gives 6, a common mistake.

A \(\frac{7}{8}\) inchB \(\frac{3}{4}\) inchC \(\frac{5}{8}\) inchD \(\frac{1}{8}\) inch

Subtract: \(\frac{3}{4} – \frac{1}{8} = \frac{6}{8} – \frac{1}{8} = \frac{5}{8}\). Adding gives \(\frac{7}{8}\).

A \(7\frac{1}{2}\) gallonsB \(1\frac{1}{4}\) gallonsC \(1\frac{1}{2}\) gallonsD 1 gallon

Total is \(\frac{1}{2} + 2 + 3 + 2 = 7\frac{1}{2}\). Divide by 6 coolers: \(7\frac{1}{2} \div 6 = 1\frac{1}{4}\).

A \(\frac{1}{2}\) poundB 1 poundC \(\frac{1}{4}\) poundD \(\frac{3}{4}\) pound

Total \(\frac{3}{8} + \frac{5}{8} = 1\) pound, then \(1 \div 2 = \frac{1}{2}\). Stopping at the total gives 1 pound.

A \(\frac{9}{24}\) yardB \(1\frac{1}{8}\) yardsC \(\frac{3}{8}\) yardD \(1\frac{3}{8}\) yards

\(3 \times \frac{3}{8} = \frac{9}{8} = 1\frac{1}{8}\). Adding numerators and denominators gives \(\frac{9}{24}\), which is wrong.

A \(\frac{1}{2}\) inchB \(1\frac{1}{2}\) inchesC \(\frac{1}{4}\) inchD \(2\frac{1}{2}\) inches

The total is \(\frac{1}{2} + \frac{3}{4} + \frac{1}{4} = 1\frac{1}{2}\). Then \(2 – 1\frac{1}{2} = \frac{1}{2}\).

A \(\frac{1}{4}+\frac{1}{2}+\frac{3}{4}+1\)B \(8\times\frac{1}{2}\)C \(1+4+2+1\)D \(1\times\frac{1}{4}+4\times\frac{1}{2}+2\times\frac{3}{4}+1\times1\)

Multiply each value by its number of X’s, then add. Adding the marks once ignores the counts.

A 2 feetB \(\frac{1}{2}\) footC 1 footD \(1\frac{1}{4}\) feet

The total is \(\frac{3}{4} + 1\frac{1}{4} = 2\). Divide by 2 plants to get 1 foot.