Students solve three multi-step problems — total water volume from a bottle line plot, recalculating a total after data changes, and comparing worm length groups. Part B has five fill-in-the-blank problems finding total and average homework time and total weight for filtered groups.
Multi-step line plot problems that require totaling, averaging, and comparing filtered groups apply the full range of Grade 5 fraction and data skills in a single challenging context.
Style:
Line Plots with Fractions
Part A: Multiple Choice
Circle the best answer for each question.
1. A line plot shows water in bottles (liters): 18→3 Xs, 14→5 Xs, 38→4 Xs, 12→2 Xs. What is the total water in all bottles?
A) 438 liters
B) 418 liters
C) 378 liters
D) 14 liters
2. A line plot shows miles walked: 14→2 Xs, 12→6 Xs, 34→4 Xs, 1→3 Xs. If the 2 students who walked 14 mile each walk an extra 14 mile, what is the new total miles walked by all students?
A) 1012 miles
B) 934 miles
C) 10 miles
D) 11 miles
3. A line plot shows worm lengths in inches: 14→4 Xs, 12→3 Xs, 34→5 Xs, 1→2 Xs. How much longer is the total of all 34-inch worms than the total of all 12-inch worms?
A) 214 inches
B) 114 inches
C) 2 inches
D) 212 inches
4. A line plot shows flour used in cups: 18→2 Xs, 14→3 Xs, 38→5 Xs, 12→4 Xs. A baker needs 5 cups total. How much more flour is needed beyond the recipes?
A) 38 cup
B) 58 cup
C) 18 cup
D) 78 cup
Part B: Fill in the Blank
Write the correct answer on each line.
1. A line plot shows homework time in hours: 14→3 Xs, 12→7 Xs, 34→4 Xs, 1→2 Xs. Total homework time for all 16 students (write as a mixed number): 914 hours.
2. Using the homework data, the average time per student equals 3764 hour. (Write as a fraction.)
3. A line plot shows fish weights in pounds: 14→4 Xs, 12→2 Xs, 34→6 Xs, 1→1 X. Total weight of fish weighing 12 pound or more (write as a mixed number): 612 pounds.
4. Using the fish data, the difference between the total weight of the 34-pound fish and the total weight of the 14-pound fish is 312 pounds.
5. A line plot shows nail lengths in inches: 38→4 Xs, 12→2 Xs, 58→6 Xs, 34→3 Xs. Total length of all nails (write as a mixed number): 812 inches.
Line Plots with Fractions
★ Part A: Multiple Choice
Circle the best answer for each question.
1. A line plot shows water in bottles (liters): 18→3 Xs, 14→5 Xs, 38→4 Xs, 12→2 Xs. What is the total water in all bottles?
A) 438 liters
B) 418 liters
C) 378 liters
D) 14 liters
2. A line plot shows miles walked: 14→2 Xs, 12→6 Xs, 34→4 Xs, 1→3 Xs. If the 2 students who walked 14 mile each walk an extra 14 mile, what is the new total miles walked by all students?
A) 1012 miles
B) 934 miles
C) 10 miles
D) 11 miles
3. A line plot shows worm lengths in inches: 14→4 Xs, 12→3 Xs, 34→5 Xs, 1→2 Xs. How much longer is the total of all 34-inch worms than the total of all 12-inch worms?
A) 214 inches
B) 114 inches
C) 2 inches
D) 212 inches
4. A line plot shows flour used in cups: 18→2 Xs, 14→3 Xs, 38→5 Xs, 12→4 Xs. A baker needs 5 cups total. How much more flour is needed beyond the recipes?
A) 38 cup
B) 58 cup
C) 18 cup
D) 78 cup
★ Part B: Fill in the Blank
Write the correct answer on each line.
1) A line plot shows homework time in hours: 1/4→3 Xs, 1/2→7 Xs, 3/4→4 Xs, 1→2 Xs. Total homework time for all 16 students (write as a mixed number): 9 1/4 hours.
2) Using the homework data, the average time per student equals 37/64 hour. (Write as a fraction.)
3) A line plot shows fish weights in pounds: 1/4→4 Xs, 1/2→2 Xs, 3/4→6 Xs, 1→1 X. Total weight of fish weighing 1/2 pound or more (write as a mixed number): 6 1/2 pounds.
4) Using the fish data, the difference between the total weight of the 3/4-pound fish and the total weight of the 1/4-pound fish is 3 1/2 pounds.
5) A line plot shows nail lengths in inches: 3/8→4 Xs, 1/2→2 Xs, 5/8→6 Xs, 3/4→3 Xs. Total length of all nails (write as a mixed number): 8 1/2 inches.
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9 Questions
12-18 minutes
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