Grade 7 Word Problems Worksheets
Free printable word problems practice for Grade 7 students. Generate problems, solve them on screen or paper, and download as PDF.
Practice Worksheet
Grade 7 Word Problems Practice
Solve each problem. Show your work.
- 1.A school receives 6 boxes of 24 notebooks and gives away 17. How many notebooks remain?
(word problem)
- 2.A delivery route is 18 km each way. A driver completes 4 round trips, then drives 7 km more. How far in total?
(word problem)
- 3.A $80 jacket is discounted 25%, then 13% tax is applied. Find the final price, rounded to the nearest cent.
(word problem)
- 4.A school receives 7 boxes of 24 notebooks and gives away 18. How many notebooks remain?
(word problem)
- 5.A delivery route is 21 km each way. A driver completes 4 round trips, then drives 8 km more. How far in total?
(word problem)
- 6.A $100 jacket is discounted 25%, then 13% tax is applied. Find the final price, rounded to the nearest cent.
(word problem)
Show answer key
- Question 1: 127
- Question 2: 151 km
- Question 3: $67.80
- Question 4: 150
- Question 5: 176 km
- Question 6: $84.75
Free Practice Worksheets
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Build confidence with approachable problems
Solve each problem by applying grade-level reasoning. Show your work clearly.
- 1.A recipe for lemonade uses 3 cups of sugar for every 5 cups of water. If you use 15 cups of water, how many cups of sugar do you need?
- 2.A scuba diver is at an elevation of -12 feet. They swim down another 8 feet to look at a reef. What is their new elevation in feet?
- 3.A shirt costs 20 dollars. It is on sale for 25 percent off. What is the amount of the discount in dollars?
- 4.A bag contains 4 red marbles, 3 blue marbles, and 3 green marbles. If you pick one marble at random, what is the probability of picking a red marble? Write your answer as a simplified fraction.
- 5.On a map, 1 inch represents 10 miles. If two cities are 4 inches apart on the map, how many actual miles apart are they?
- 6.Sarah bought a notebook for 4 dollars and 2 pens that cost the same amount each. If she spent a total of 10 dollars, what was the cost of one pen?
A selection of topic skills
Solve each problem. Show your work.
- 1.A recipe for fruit punch uses 3 cups of orange juice for every 5 cups of pineapple juice. If you need to make 48 cups of punch in total, how many cups of orange juice are required?
- 2.A mountain climber starts at an elevation of 120 feet below sea level. They climb up 1,500 feet, then descend 340 feet due to a storm. What is the climber's final elevation relative to sea level?
- 3.The price of a bicycle was originally 250 dollars. During a sale, the price was reduced by 15 percent. What is the final sale price of the bicycle?
- 4.A box contains 4 red marbles, 6 blue marbles, and 10 green marbles. If you pick one marble at random, what is the probability (expressed as a fraction in simplest form) of picking a marble that is NOT blue?
- 5.On a map, the scale is 1 inch = 12 miles. If two cities are 4.5 inches apart on the map, how many miles apart are they in reality?
- 6.A plumber charges a flat fee of 50 dollars plus 45 dollars per hour of work. If a customer received a bill for 230 dollars, how many hours did the plumber work?
What Your Child Will Learn
Grade 7 word problems introduce proportional reasoning as the dominant strategy, with students solving problems involving unit rates, scale factors, and percent change using both diagrams and formal proportion equations. Problems now regularly include negative numbers, requiring students to interpret what a negative quantity means in context, such as a temperature drop or a financial loss.
Multi-step problems increasingly require students to set up and solve simple algebraic equations as part of the solution, blending word problem strategy with early algebraic thinking. Students compare proportional and non-proportional situations, learning to recognize when a relationship is truly proportional versus when it only appears to be. Communicating a full solution, including any assumptions made and why an approach was chosen, is an expected part of the response.
Skills Covered
- Solving problems involving unit rates and scale factors
- Setting up and solving proportion equations
- Interpreting negative numbers in real-world contexts
- Distinguishing proportional from non-proportional relationships
- Setting up simple algebraic equations to model a word problem
- Explaining assumptions and justifying the chosen solution approach
Curriculum Aligned: A cross-strand focus connecting Strand B (Number) and Strand C (Algebra) with the mathematical processes of modelling situations proportionally and algebraically.
Parent Tip: When a problem involves a discount, tip, or scaled recipe, ask your child to set it up as a proportion (part over whole equals percent over 100) — this formalizes a strategy they've likely used informally for years.
What your child will practice
- Numbers to One BillionRead, represent, compose, and decompose whole numbers up to and including one billion.
- Rational NumbersRepresent and compare rational numbers including negative fractions and decimals.
- PercentagesRepresent, compare, and order fractions, decimals, and percentages.
- Square RootsEstimate and calculate square roots of perfect squares.
- Operations with Rational NumbersAdd, subtract, multiply, and divide rational numbers.
- Operations with FractionsMultiply and divide fractions and mixed numbers.
- Percent CalculationsSolve problems involving percent increases, decreases, and discounts.
- Linear RelationshipsConnect whole-number patterns to decimal and fractional patterns.
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Check my workFrequently Asked Questions
Why does my child struggle with word problems?
Word problems require reading comprehension plus math skills. Teach a systematic approach: read carefully, identify what's asked, find the key information, choose an operation, and check the answer.
How can I help my child with word problems?
Practice identifying keywords (total, difference, each, shared equally). Draw pictures or diagrams. Start with simple one-step problems and gradually increase complexity.
Are word problems more important than computation?
Both are essential. Word problems show how math applies to real situations and develop critical thinking. Strong computation skills make word problems easier to solve.