🗂️ Grade 6-8 Math Word Problems

A savings account earns 5% interest per year. If you deposit $200, how much will you have after one year?

A store sells T-shirts for $25. If you buy 3 or more, you get 15% off each shirt. How much would 4 T-shirts cost?

A room is 15 feet by 12 feet. If carpet costs $3.50 per square foot, how much will it cost to carpet the room?

You have $150 to spend on school supplies. You buy a backpack for $42, 5 folders at $3 each, and spend the rest on books at $8 each. How many books can you buy?

You start homework at 4:20 PM. Math takes 35 minutes, reading takes 40 minutes, and science takes 25 minutes. When do you finish?

A jacket originally costs $80 but is marked down 25%. With sales tax of 6%, what is the final cost?

A lemonade stand sells cups for $1.50. If supplies cost $8, how many cups must you sell to make $20 profit?

A flight departs at 6:30 AM from New York (EST) and takes 5 hours 45 minutes to reach Los Angeles (PST, 3 hours behind). What time does it arrive in Los Angeles local time?

A cylindrical water tank has a radius of 2 meters and height of 5 meters. What is its volume? (Volume = π × r² × h, use π ≈ 3.14)

You have $100. You spend 1/4 on food and 1/3 of the remainder on games. How much money do you have left?

You invest $500 at 4% annual interest, compounded annually. How much will you have after 2 years?

A train departs every 18 minutes. If the first train leaves at 6:00 AM, what time does the 5th train leave?

A piece of wire is 2.4 m long. You need pieces that are 15 cm each. How many pieces can you cut?

A restaurant bill is $85 before tax. With 8% sales tax and a 20% tip (calculated on pre-tax amount), what is the total?

A solution is 15% salt. If you have 200 grams of solution, how many grams of salt does it contain?

Two trains leave stations 450 km apart at the same time, traveling toward each other. One travels at 80 km/h and the other at 70 km/h. How long until they meet?

A marathon is 42.195 km. If a runner completes it in 3 hours 30 minutes, what is their average speed in km/h?

A concert ticket costs $45. Buying online adds a $6 service fee and 5% processing charge. What is the total cost?

A board is 3.6 meters long. You need to cut off 45 cm from one end. What is the remaining length in meters?

You sleep from 10:30 PM to 6:45 AM. How many hours and minutes of sleep did you get?

A plane flies 1,200 miles in 3 hours with a tailwind. On the return trip against the wind, it takes 4 hours. What is the average speed for the entire trip?

A smoothie shop sells small (12 oz) for $4, medium (16 oz) for $5, and large (20 oz) for $6. Which size gives you the most ounces per dollar?

An object accelerates from 10 m/s to 30 m/s in 5 seconds. What is the acceleration? (a = change in velocity ÷ time)

You have $100. You spend 1/4 on food and 1/3 of the remainder on games. How much money do you have left?

A train travels 240 miles in 4 hours, then 180 miles in 3 hours. What was the average speed for the whole trip?

A football team wins 60% of their games. They have 5 games left. If they win all remaining games, what will their final winning percentage be if they have played 15 games so far?

A gas occupies 500 mL at 20°C. If heated to 40°C (keeping pressure constant), it expands to 550 mL. By what percentage did the volume increase?

A hiker walks 3.5 km uphill at 2 km/h, then 3.5 km downhill at 4 km/h. How long is the total hike?

A rectangular garden is 12 m by 8 m. You want to build a path 1 m wide around the entire garden. What is the area of the path?

A car rental costs $40 per day plus $0.15 per mile. You rent for 3 days and drive 180 miles. How much is the total cost?

A recipe for 12 cookies uses 2 cups of flour and 1.5 cups of sugar. You want to make 30 cookies. How much flour do you need?

You invest $500 at 4% annual interest. After one year, you invest the total amount at 5% for another year. How much do you have after 2 years?

A pool is 25 m long, 10 m wide, and 2 m deep. How many liters of water does it hold? (1 cubic meter = 1000 liters)

A phone plan costs $30/month plus $0.10 per text over 500 texts. In March you sent 650 texts. What was your bill?

You save $50 in January, and each month you save $10 more than the previous month. How much have you saved by the end of April (4 months)?

A train leaves at 8:00 AM traveling at 60 mph. Another train leaves at 9:00 AM from the same station, traveling in the same direction at 75 mph. When will the second train catch up?

A tablet costs $400. You make a 20% down payment and finance the rest for 6 months with no interest. What is your monthly payment?

A cylindrical tank is 3 m tall with a 2 m diameter. If water costs $0.02 per liter, how much does it cost to fill? (Volume = πr²h, 1 m³ = 1000 L, π ≈ 3.14)

A stock costs $80 per share. It increases 25%, then decreases 20%. What is the final price per share?

A 2 kg object is moving at 5 m/s. What is its kinetic energy? (KE = ½mv²)

A restaurant bill is $85. You want to leave an 18% tip. What is the total including tip?

You have a 5 lb bag of flour. A recipe uses 2.5 cups, and 1 cup weighs 4.5 oz. How many ounces of flour remain?

Chicken costs $6.99/lb. You buy 3.2 lbs. With 7% sales tax, what is the total cost?

Water has a heat capacity of 4.18 J/g°C. How much energy is needed to heat 500g of water by 20°C?

A bus route is 45 km. If the bus stops for 3 minutes at each of 12 stops, and drives at 60 km/h between stops, how long is the total trip?

A car depreciates 15% per year. If it costs $30,000 new, what is it worth after 3 years?

A rectangular field is twice as long as it is wide. If the perimeter is 240 meters, what are the dimensions?

You mix 5 liters of 30% juice with 3 liters of 60% juice. What percentage juice is the mixture?

A ladder is 25 feet long, leaning against a wall. The base is 7 feet from the wall. How high up the wall does it reach?

A number increased by 20%, then decreased by 20%. What is the overall percentage change?

Three friends share a $90 bill in ratio 2:3:4. How much does each person pay?

A painting is in a frame. The painting is 12 inches by 16 inches. The frame adds 2 inches on all sides. What is the total area of the framed piece?

Two pipes fill a pool. Pipe A fills it in 4 hours, Pipe B in 6 hours. If both work together, how long does it take?

A 20 oz smoothie is 15% protein powder by weight. If you want 25% protein powder, how much protein powder should you add?

A tablet costs $400. You make a 20% down payment and finance the rest for 6 months with no interest. What is your monthly payment?

A cylindrical tank is 3 m tall with a 2 m diameter. If water costs $0.02 per liter, how much does it cost to fill? (Volume = πr²h, 1 m³ = 1000 L, π ≈ 3.14)

A stock costs $80 per share. It increases 25%, then decreases 20%. What is the final price per share?

A bus route is 45 km. If the bus stops for 3 minutes at each of 12 stops, and drives at 60 km/h between stops, how long is the total trip?

A spring stretches 8 cm when a 4 N force is applied. How far will it stretch with a 6 N force? (Hooke's Law: F = kx)

The half-life of a substance is 10 days. If you start with 800 grams, how much remains after 20 days?

A lever is 2 m long. The fulcrum is 0.5 m from the load. If you push down with 50 N on the long end, what force is applied to the load?

An ecosystem has 10,000 units of energy at the producer level. If each trophic level transfers 10%, how much energy reaches the secondary consumers?

A population of 500 bacteria doubles every 30 minutes. How many bacteria are there after 2 hours?

A DNA strand is 30% adenine. What percentage is guanine? (In DNA: A=T and G=C)

A microscope magnifies 400x. A cell appears to be 8 mm wide. What is its actual width in micrometers? (1 mm = 1000 μm)

You have $100. You spend 1/4 on food and 1/3 of the remainder on games. How much money do you have left?

A train travels 240 miles in 4 hours, then 180 miles in 3 hours. What was the average speed for the whole trip?

A football team wins 60% of their games. They have 5 games left. If they win all remaining games, what will their final winning percentage be if they have played 15 games so far?

A gas occupies 500 mL at 20°C. If heated to 40°C (keeping pressure constant), it expands to 550 mL. By what percentage did the volume increase?

A hiker walks 3.5 km uphill at 2 km/h, then 3.5 km downhill at 4 km/h. How long is the total hike?

A jacket originally costs $80 but is marked down 25%. With sales tax of 6%, what is the final cost?

You buy lunch for $12, give a 15% tip, and pay 7% sales tax. What is your total?

A lemonade stand sells cups for $1.50. If supplies cost $8, how many cups must you sell to make $20 profit?

A flight departs at 6:30 AM from New York (EST) and takes 5 hours 45 minutes to reach Los Angeles (PST, 3 hours behind). What time does it arrive in Los Angeles local time?

A room is 15 feet by 12 feet. If carpet costs $3.50 per square foot, how much will it cost to carpet the room?

A cylindrical water tank has a radius of 2 meters and height of 5 meters. What is its volume? (Volume = π × r² × h, use π ≈ 3.14)

You invest $500 at 4% annual interest, compounded annually. How much will you have after 2 years?

A restaurant bill is $85 before tax. With 8% sales tax and a 20% tip (calculated on pre-tax amount), what is the total?

A solution is 15% salt. If you have 200 grams of solution, how many grams of salt does it contain?

A train departs every 18 minutes. If the first train leaves at 6:00 AM, what time does the 5th train leave?

A piece of wire is 2.4 m long. You need pieces that are 15 cm each. How many pieces can you cut?

You sleep from 10:30 PM to 6:45 AM. How many hours and minutes of sleep did you get?

A plane flies 1,200 miles in 3 hours with a tailwind. On the return trip against the wind, it takes 4 hours. What is the average speed for the entire trip?

A smoothie shop sells small (12 oz) for $4, medium (16 oz) for $5, and large (20 oz) for $6. Which size gives you the most ounces per dollar?

An object accelerates from 10 m/s to 30 m/s in 5 seconds. What is the acceleration? (a = change in velocity ÷ time)

You have $100. You spend 1/4 on food and 1/3 of the remainder on games. How much money do you have left?

A train travels 240 miles in 4 hours, then 180 miles in 3 hours. What was the average speed for the whole trip?

A football team wins 60% of their games. They have 5 games left. If they win all remaining games, what will their final winning percentage be if they have played 15 games so far?

A gas occupies 500 mL at 20°C. If heated to 40°C (keeping pressure constant), it expands to 550 mL. By what percentage did the volume increase?

A hiker walks 3.5 km uphill at 2 km/h, then 3.5 km downhill at 4 km/h. How long is the total hike?

A car depreciates 15% per year. If it costs $30,000 new, what is it worth after 3 years?

A rectangular field is twice as long as it is wide. If the perimeter is 240 meters, what are the dimensions?

You mix 5 liters of 30% juice with 3 liters of 60% juice. What percentage juice is the mixture?

A ladder is 25 feet long, leaning against a wall. The base is 7 feet from the wall. How high up the wall does it reach?

A park is 2 miles north and the library is 3 miles east. How far apart are they if you travel in a straight line?

A store is having a clearance sale with 40% off all items. An item costs $60. What is the final price after the discount?

A baker makes 5 dozen cookies. She sells 3/4 of them. How many cookies does she have left?

Two cyclists start 60 km apart and ride toward each other. One rides at 15 km/h and the other at 20 km/h. When will they meet?

A job takes 8 hours to complete. If 2 people work on it together, how long will it take?

A credit card has an APR of 18%. If you carry a $1000 balance for one month, how much interest do you owe?

A rectangular prism has dimensions 8 cm × 5 cm × 10 cm. What is its volume?

A basketball player has a 40% free throw percentage. Out of 50 free throw attempts, how many will they make?

You invest $2000 at 5% annual interest for 3 years. How much interest will you earn?

A bakery uses 5 kg of flour daily. In 30 days, how much flour is used? If flour costs $2 per kg, what is the total cost?

Three tasks take 30 minutes, 45 minutes, and 20 minutes respectively. If you start at 1:00 PM, when will you finish all tasks?

A store's revenue is $50,000 per month. If expenses are 60% of revenue, what is the monthly profit?

A delivery driver has 8 stops, each 15 miles apart. How far is the total route?

A swimming pool is 30 meters long, 15 meters wide, and 2 meters deep. How many liters of water does it hold?

A caterer charges $25 per person plus $200 for setup. For 40 guests, what is the total cost?

An employee earns $60,000 per year. After taxes of 25%, what is their take-home salary?

A weekly schedule has classes Monday through Friday, each 2 hours long. How many total class hours per week?

A chemical reaction requires 3 parts A to 5 parts B. If you have 30 units of A, how much B do you need?

A round trip from home to work is 50 miles. You work 5 days per week. How many miles per month (4 weeks)?

A circular table has a radius of 2 meters. What is its area? (Area = πr², use π ≈ 3.14)

A bakery makes 200 croissants daily. How many do they make in a year (365 days)?

A store has a loyalty program offering 5% cash back. If you spend $500, how much cash back do you earn?

A golfer plays 18 holes with an average score of 4.5 strokes per hole. What is the total score?

A radioactive substance has a half-life of 5 years. If you start with 80 grams, how much remains after 15 years?

A triangle has a base of 10 cm and height of 8 cm. What is its area? (Area = ½ × base × height)

Three projects take 2 hours 15 minutes, 1 hour 45 minutes, and 1 hour 20 minutes. How long total?

A river flows at 3 meters per second. How far does the water travel in 1 hour?

A movie ticket costs $14. With a group discount of 10%, how much is each ticket?

A catering company charges $12 per person. For 150 guests, what is the total cost?

A rectangle has a perimeter of 50 meters. If one side is 12 meters, what is the length of the other side?

A plane flies at 500 km/h. How far will it travel in 4.5 hours?

A project requires 40 hours of work. If 2 people work on it together, how long will it take?

A baseball team plays 162 games per season. If they win 60% of their games, how many games do they win?

A business owner borrows $50,000 at 8% annual interest. After 2 years with compound interest, how much do they owe?

A chemical mixture is 40% acid. If you have 500 mL of the mixture, how much pure acid is in it? Then, if you add 100 mL of pure acid, what is the new percentage?

Two trains leave a station simultaneously going in opposite directions. One travels at 60 mph and the other at 80 mph. After 3 hours, how far apart are they?

A swimming pool is 50 meters long, 25 meters wide, and 2 meters deep. If you fill it to 80% capacity and water costs $0.05 per liter, what is the total cost?

A student studies for a test over 4 days. Day 1: 1.5 hours, Day 2: 2.25 hours, Day 3: 1.75 hours, Day 4: 2 hours. What is the total study time?

A basketball player scores 28 points in a game by making 3-pointers and 2-pointers. If they made 6 three-pointers, how many 2-pointers did they make?

A store buys items for $8 each and sells them for $15. The store has overhead costs of $2000 per month. How many items must they sell to break even?

A recipe makes 12 servings and contains 3 cups of flour, 2 cups of sugar, and 1.5 cups of butter. You need to make 30 servings. How much flour do you need?

A population of bacteria starts with 1000 cells and triples every hour. How many bacteria will there be after 5 hours?

A cyclist travels 45 km in 2.5 hours, then rests for 30 minutes, then travels 30 km in 1.5 hours. What is the average speed for the entire trip (including rest)?

A paint mixture requires 3 parts red paint to 2 parts blue paint to 4 parts white paint. If you want to make 36 liters of the mixture, how much red paint do you need?

A savings account earns 3% interest annually. If you deposit $2000 and don't withdraw anything, how much will you have after 3 years with compound interest?

Three workers can complete a job in 6 hours. How long will it take if only 2 workers do the job?

A radioactive element has a half-life of 8 days. If you start with 640 grams, how much remains after 32 days?

A bakery makes 500 cookies daily. They sell 85% of them each day. If they make cookies 6 days per week, how many cookies are left unsold per week?

A car travels 120 miles at an average speed of 40 mph. How long does the trip take in hours and minutes?

A soccer team has won 18 games, lost 6, and tied 2. What percentage of games have they won?

A clothing store offers a tiered discount: 10% off for purchases over $50, 20% off for over $100, and 30% off for over $200. You buy items totaling $250. How much do you pay after discount?

A room has dimensions 12 feet by 15 feet. You want to put tile on the floor at $8 per square foot. What is the total cost?

A solution contains 250 mL of water and 50 mL of salt. If you add 150 mL more water, what is the new concentration of salt as a percentage?

A production line produces 1500 units per day. Workers take 2 hours for lunch and breaks out of 8-hour shifts. How many units per hour are produced?

A restaurant's food cost is $8000 per month. If the average meal costs $20, and food cost should be 35% of revenue, how many meals must they sell?

A ship travels 200 miles at 25 mph, then 150 miles at 30 mph. What is the average speed for the entire trip?

An investment grows at 12% annually. If you invest $5000, how much will you have after 4 years with compound interest?

A pendulum swings with a period of 2 seconds. How many complete swings will it make in 1 minute?

A plant grows 0.5 inches per week. How many inches will it grow in 8 weeks?

You invest $1000 at 6% annual interest. How much interest will you earn after one year?

A factory produces 240 items per hour. How many items will it produce in 5.5 hours?

A cube has sides that are 4 inches long. What is the volume of the cube?

A cyclist travels 45 miles in 2.5 hours. What is their average speed?

A restaurant uses 3.5 pounds of flour per day. How many pounds of flour do they need for a week?

A runner completes a marathon in 3 hours and 45 minutes. If the marathon is 26.2 miles, what is their average pace in minutes per mile?

A scientist measures a sample that weighs 0.025 grams. If they need 8 samples, what is the total weight?

A store marks up items by 40%. If an item costs the store $50, what is the selling price?

A project takes 4 workers 6 hours to complete. How long would it take 3 workers to complete the same project?

A cylindrical tank has a radius of 3 feet and a height of 5 feet. What is the volume? (Use π ≈ 3.14)

Two cities are 180 miles apart. If you drive at 60 mph, how long will the trip take?

A basketball player makes 75% of free throws. If they attempt 20 free throws, how many do they make?