4th Grade Line Plots with Fractions Test Solutions and Scoring (PDF)

1. \(1 + 3 + 2 + 2 = 8\) pencils
2. Longer than 1/2 inch: \(2 + 2 = 4\) pencils

Scoring: 1 point for each correct answer.

1. The tallest stack has 3 dots: \(\frac{1}{2}\) inch
2. \(1 – \frac{1}{4} = \frac{3}{4}\) inch

Scoring: 1 point for the most common length, 1 point for the correct difference.

1/4 cup appears 3 times, 1/2 cup appears 3 times, and 3/4 cup appears 1 time.

Scoring: 1 point for the correct counts at 1/4 and 1/2, 1 point for the count at 3/4 and a total of 7 dots.

1. \(\frac{3}{8} + \frac{3}{8} + \frac{3}{8} = \frac{9}{8} = 1\frac{1}{8}\) inches
2. \(2 + 1 + 3 = 6\) leaves
3. \(\frac{4}{8} – \frac{1}{8} = \frac{3}{8}\) inch

Scoring: 1 point for each correct part.

1. \(3 + 1 + 2 = 6\) plants
2. \(1\frac{1}{2} + 1\frac{1}{2} + 1\frac{1}{2} = 4\frac{1}{2}\) feet
3. \(2\frac{1}{2} – 1 = 1\frac{1}{2}\) feet

Scoring: 1 point for each correct part.

1. In fourths: \(\frac{1}{4} + \frac{2}{4} + \frac{1}{4} + \frac{3}{4} + \frac{2}{4} + \frac{1}{4} = \frac{10}{4} = 2\frac{2}{4} = 2\frac{1}{2}\) inches
2. \(\frac{3}{4} – \frac{1}{4} = \frac{2}{4} = \frac{1}{2}\) inch

Scoring: part a, 1 point for adding the six measurements correctly as fractions and 1 point for the answer in simplest form. Part b, 1 point.

1. In fourths: 3 pieces of 1/4 make 3/4; 1 piece of 2/4 makes 2/4; 2 pieces of 3/4 make 6/4; 2 pieces of 4/4 make 8/4. Total \(\frac{3}{4} + \frac{2}{4} + \frac{6}{4} + \frac{8}{4} = \frac{19}{4} = 4\frac{3}{4}\) feet
2. \(6 – 4\frac{3}{4} = 5\frac{4}{4} – 4\frac{3}{4} = 1\frac{1}{4}\) feet

Scoring: part a, 1 point for converting every dot to fourths and 1 point for the correct total. Part b, 1 point.

3 dots at 1/2: \(\frac{1}{2} + \frac{1}{2} + \frac{1}{2} = 1\frac{1}{2}\). 2 dots at 1: 2.

\(1\frac{1}{2} + 2 = 3\frac{1}{2}\) feet.

\(3\frac{1}{2}\) feet

Scoring: 1 point for the total of the three half-foot dots, 1 point for the final total.