Grade 7 Fractions Word Problems
Grade 7 fractions word problems sheet: 10 problems on .
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Three different problem sets — same skill, same layout, fresh numbers.
Preview — Set A
Read each problem carefully. Show your work, then write your answer on the line.
- 1.Grace runs 3/6 mile in 4/6 hour. What is the speed in miles per hour?
- 2.A recipe uses 1/4 cup of flour for 1/3 of a batch. What is the unit rate in cups per batch?
- 3.Yara runs 1/4 mile in 3/4 hour. What is the speed in miles per hour?
- 4.3/4 of a can of paint covers 1/2 of a wall. What is the unit rate in walls per can?
- 5.Carla runs 3/4 mile in 1/2 hour. What is the speed in miles per hour?
- 6.A machine finishes 1/4 of a part in 1/2 hour. What is the unit rate in parts per hour?
- 7.Carla runs 7/8 mile in 1/2 hour. What is the speed in miles per hour?
- 8.A hose delivers 1 1/2 gallons in 1/2 minute. What is the unit rate in gallons per minute?
- 9.Ben runs 2/3 mile in 4/6 hour. What is the speed in miles per hour?
- 10.A recipe uses 1/3 cup of flour for 3/4 of a batch. What is the unit rate in cups per batch?
What this worksheet covers
Set A of this grade 7 word problems sheet holds ten story problems on one printable page, with the answer key on the page behind it. Within that, each problem arrives as a few sentences of context rather than a bare expression and several problems use mixed numbers, which have to be handled without dropping the whole-number part. Two problems from the middle of the page — "3/4 of a can of paint covers 1/2 of a wall. What is the…" and "Carla runs 7/8 mile in 1/2 hour. What is the speed in miles…" — show the range.
Skills practiced
The grade 7 fractions sequence covers complex fractions, signed fractions, and fractions as terminating and repeating decimals; this page sits inside it. To finish it, a student has to read a situation and choose an operation before computing and work in fractional units and give the answer in lowest terms.
About the word problems format
Story problems are set one to a line with room to work underneath, problem 4, "3/4 of a can of paint covers 1/2 of a wall. What is the…" among them, and the key gives each of the 10 answers with its unit. Fractions of recipes, distances and shares are where the abstract unit becomes a real quantity.
Set A, Set B and Set C
The three sets come from the same generator with three different seeds: same skill, same layout, fresh numbers, and an answer key computed with the problems. Where Set A's problem 6 is "A machine finishes 1/4 of a part in 1/2 hour. What is the…", Set B's is "A recipe uses 3/4 cup of flour for 1/4 of a batch. What is…".
How to use this worksheet
Expect twenty minutes or so of real attention for ten problems. At grade 7, fractions rewards care over speed — a rushed word problems gets the arithmetic right and the signs or units wrong. Date the word problems before filing it. Set C from six weeks later is the cheapest evidence you have that the fractions stuck.
The full guide to teaching fractionsTeaching fractions from equal shares to rational numbers: the grade 1–8 progression, why the number line matters, and the misconceptions that persist for years.Other grade 7 fractions formats
The same skill in the other formats available at this grade.
- Drill — Grade 7 Complex Fractions and Unit Rates, 16 problems
- Timed Drill — Grade 7 Fractions Timed Drill, 60 problems
- Missing Number — Grade 7 Fractions Missing Number, 24 problems
- Mixed Review — Grade 7 Fractions Mixed Review, 30 problems
A step either side
The same format one grade down and one grade up — the easier sheet is often the faster fix when this one is not landing.
- Grade 6 Fractions Word Problems — grade 6, 10 problems
Word Problems sheets in other grade 7 topics
Free to download, print and photocopy for a whole class: three word problems sheets of grade 7 fractions, ten problems each, keys included.