5th Grade Line Plots and Data Test Solutions and Scoring (PDF)

1. 3 + 1 = 4 pieces
2. \(1-\frac{1}{4}=\frac{3}{4}\) inch
3. \(2\times\frac{1}{4}+4\times\frac{1}{2}+3\times\frac{3}{4}+1=\frac{1}{2}+2+\frac{9}{4}+1=5\frac{3}{4}\) inches

Scoring: 1 point per part.

1. Place 1 X above \(\frac{1}{8}\), 3 above \(\frac{3}{8}\), 1 above \(\frac{1}{2}\) and 1 above \(\frac{5}{8}\).
   

2. Nails longer than \(\frac{1}{4}\) inch: \(3+1+1=5\) nails.

Scoring: 1 point for a correct plot (6 X’s in the right places), 1 point for 5 nails.

Total: \(\frac{1}{4}+1+\frac{1}{4}=1\frac{1}{2}\) pounds.

\(1\frac{1}{2}\div3=\frac{3}{2}\div3=\frac{1}{2}\).

\(\frac{1}{2}\) pound

Scoring: 1 point for the total, 1 point for dividing to get \(\frac{1}{2}\) pound.

1. 2 + 3 = 5 cans
2. \(2\times\frac{1}{4}+3\times\frac{1}{2}+\frac{3}{4}+2\times1=\frac{1}{2}+\frac{3}{2}+\frac{3}{4}+2=4\frac{3}{4}\) gallons
3. \(8-4\frac{3}{4}=3\frac{1}{4}\) gallons

Scoring: 1 point per part.

Total: \(\frac{5}{8}+\frac{7}{8}=\frac{12}{8}=\frac{3}{2}\) gallons.

\(\frac{3}{2}\div2=\frac{3}{4}\).

\(\frac{3}{4}\) gallon

Scoring: 1 point for the total, 1 point for the equal share.

1. 3 + 2 + 1 = 6 ropes
2. \(3\times\frac{1}{2}+2\times\frac{5}{8}=\frac{12}{8}+\frac{10}{8}=\frac{22}{8}=2\frac{3}{4}\) yards

Scoring: 1 point per part.

Total: \(\frac{2}{4}+\frac{3}{4}+\frac{2}{4}+\frac{5}{4}=\frac{12}{4}=3\) miles.

\(3\div4=\frac{3}{4}\) mile each day.

3 miles; \(\frac{3}{4}\) mile per day

Scoring: 1 point for the total, 1 point for the equal share.

Total: \(\frac{3}{8}+\frac{5}{8}+\frac{2}{8}+\frac{4}{8}=\frac{14}{8}=1\frac{3}{4}\) inches.

\(3-1\frac{3}{4}=1\frac{1}{4}\).

\(1\frac{1}{4}\) inches

Scoring: 1 point for the total, 1 point for the difference.

Ethan: \(4\times\frac{1}{4}=1\). Maya: \(2\times\frac{3}{4}=\frac{6}{4}=1\frac{1}{2}\).

Maya’s total is greater, by \(\frac{1}{2}\)

Scoring: 1 point for each correct total, shown with the comparison.