5th Grade Line Plots and Data Worksheet Solutions (PDF)

5th Grade math worksheet solutions: Line Plots and Data – Maths PDF

Each answer shows how to read the plot, the fraction work, and the final answer with its unit. Compare your totals carefully, since one missed X changes the sum.

Grade 5 · Common Core State Standards: 5.MD.B.2

Exercise 1 – Count the glasses

Count the X’s: $1+3+3+1=8$.

8 glasses

Exercise 2 – Glasses with one half cup

Look above $\frac{1}{2}$. There are 3 X’s.

3 glasses

Exercise 3 – More than one half cup

Count the X’s above $\frac{3}{4}$ and above 1: $3+1=4$.

4 glasses

Exercise 4 – Greatest minus least

Greatest: 1 cup. Least: $\frac{1}{4}$ cup.

$1-\frac{1}{4}=\frac{3}{4}$

$\frac{3}{4}$ cup

Exercise 5 – Total milk

$1\times\frac{1}{4}+3\times\frac{1}{2}+3\times\frac{3}{4}+1\times1$

$=\frac{1}{4}+\frac{6}{4}+\frac{9}{4}+\frac{4}{4}=\frac{20}{4}=5$

Multiply each measurement by its number of X’s, then add.

5 cups

Exercise 6 – Milk shared equally

Total: 5 cups. Divide by 8: $5\div8=\frac{5}{8}$.

$\frac{5}{8}$ cup

Exercise 7 – Make a line plot

Tally the data: $\frac{1}{4}$ appears 2 times, $\frac{1}{2}$ appears 3 times, $\frac{3}{4}$ appears 1 time.

Line plot. Each X is one measurement. Label: Length of a ribbon (yards).

2 X’s above 1/4, 3 above 1/2, 1 above 3/4; 6 X’s in all

Exercise 8 – Seedlings taller than three eighths

Count X’s above $\frac{1}{2}$ and $\frac{5}{8}$: $2+1=3$.

3 seedlings

Exercise 9 – Total growth

$\frac{1}{8}+2\times\frac{2}{8}+3\times\frac{3}{8}+2\times\frac{4}{8}+\frac{5}{8}=\frac{1+4+9+8+5}{8}=\frac{27}{8}$

$\frac{27}{8}=3\frac{3}{8}$.

$3\frac{3}{8}$ inches

Exercise 10 – Difference in growth

Greatest: $\frac{5}{8}$. Least: $\frac{1}{8}$.

$\frac{5}{8}-\frac{1}{8}=\frac{4}{8}=\frac{1}{2}$

$\frac{1}{2}$ inch

Exercise 11 – At least one half inch

“At least” includes $\frac{1}{2}$. Count the X’s above $\frac{1}{2}$ and $\frac{5}{8}$: $2+1=3$.

3 seedlings

Exercise 12 – Short seedlings

Those are 1 seedling of $\frac{1}{8}$ and 2 seedlings of $\frac{1}{4}$.

$\frac{1}{8}+2\times\frac{1}{4}=\frac{1}{8}+\frac{4}{8}=\frac{5}{8}$

$\frac{5}{8}$ inch

Exercise 13 – Level the trays

Total: $\frac{1+3+5+7}{8}=\frac{16}{8}=2$ pounds.

Share: $2\div4=\frac{1}{2}$.

Each tall box holds 1 pound when full.

$\frac{1}{2}$ pound each

Exercise 14 – Trail mix swap

Total: $\frac{2}{4}+\frac{3}{4}+\frac{1}{4}=\frac{6}{4}=\frac{3}{2}$ pounds.

Share among 3: $\frac{3}{2}\div3=\frac{1}{2}$ pound each.

Liam has $\frac{3}{4}$ and keeps $\frac{1}{2}$, so he gives away $\frac{3}{4}-\frac{2}{4}=\frac{1}{4}$ pound.

$\frac{1}{2}$ pound each; Liam gives away $\frac{1}{4}$ pound

Exercise 15 – Apples at the farmers market

(a) $1\frac{1}{2}-\frac{1}{2}=1$ pound.

(b) $2\times\frac{1}{2}+3\times\frac{3}{4}+3\times1+\frac{5}{4}+\frac{3}{2}=1+\frac{9}{4}+3+\frac{5}{4}+\frac{3}{2}=9$ pounds.

Multiply each measurement by its number of X’s, then add.

(a) 1 pound; (b) 9 pounds; (c) $18

Exercise 16 – Water coolers

Total: $\frac{1}{2}+2\times1+2\times\frac{3}{2}+2=\frac{1}{2}+2+3+2=7\frac{1}{2}$ gallons.

Share: $7\frac{1}{2}\div6=\frac{15}{2}\div6=\frac{15}{12}=1\frac{1}{4}$.

Each tall box holds 2 gallon when full.

$1\frac{1}{4}$ gallons each

Exercise 17 – Pitchers of lemonade

Total: $\frac{2}{4}+\frac{3}{4}+\frac{3}{4}+\frac{4}{4}=\frac{12}{4}=3$ quarts.

$3\div4=\frac{3}{4}$.

$\frac{3}{4}$ quart each

Exercise 18 – Bean sprouts

(a) 2 sprouts (the two at $\frac{3}{8}$).

(b) $3\times\frac{1}{2}=1\frac{1}{2}$ inches.

(c) $2\times\frac{3}{8}+3\times\frac{4}{8}+2\times\frac{5}{8}+\frac{6}{8}=\frac{6+12+10+6}{8}=\frac{34}{8}=4\frac{1}{4}$ inches.

(a) 2 sprouts; (b) $1\frac{1}{2}$ in; (c) $4\frac{1}{4}$ in

Exercise 19 – Saturday bike rides

Total: $2\times\frac{1}{2}+3\times\frac{3}{4}+1+\frac{5}{4}=1+\frac{9}{4}+1+\frac{5}{4}=5\frac{1}{2}$ miles.

$8-5\frac{1}{2}=2\frac{1}{2}$.

$2\frac{1}{2}$ miles

Exercise 20 – String for crafts

(a) Plot 2 X’s above $\frac{1}{4}$, 1 above $\frac{1}{2}$, 2 above $\frac{3}{4}$.

Line plot. Each X is one measurement. Label: Length of a string (yards).

(b) $2\times\frac{1}{4}+\frac{1}{2}+2\times\frac{3}{4}=\frac{1}{2}+\frac{1}{2}+\frac{3}{2}=2\frac{1}{2}$ yards.

(b) $2\frac{1}{2}$ yd; (c) $1\frac{1}{2}$ yd

All Grade 5 chapters: Grade 5 math.

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