1. A
The ratio between black and blue pens is 7 to 28 or 7:28. Bring to the lowest terms by dividing both sides by 7 gives 1:4.
2. A
At 100% efficiency 1 machine produces 1450/10 = 145 m of cloth.
At 95% efficiency, 4 machines produce 4 * 145 * 95/100 = 551 m of cloth.
At 90% efficiency, 6 machines produce 6 * 145 * 90/100 = 783 m of cloth.
Total cloth produced by all 10 machines = 551 + 783 = 1334 m
Since the information provided and the question are based on 8 hours, we did not need to use time to reach the answer.
3. D
The turnout at polling station A is 945 out of 1270 registered voters. So, the percentage turnout at station A is:
(945/1270) × 100% = 74.41%
The turnout at polling station B is 860 out of 1050 registered voters. So, the percentage turnout at station B is:
(860/1050) × 100% = 81.90%
The turnout at polling station C is 1210 out of 1440 registered voters. So, the percentage turnout at station C is:
(1210/1440) × 100% = 84.03%
To find the total turnout from all three polling stations, we need to add up the total number of voters and the total number of registered voters from all three stations:
Total number of voters = 945 + 860 + 1210 = 3015
Total number of registered voters = 1270 + 1050 + 1440 = 3760
The overall percentage turnout is:
(3015/3760) × 100% = 80.12%
Therefore, the total turnout from all three polling stations is 80.12% — rounding to 80%.
4. D
This is a simple direct proportion problem:
If Lynn can type 1 page in p minutes, then she can type x pages in 5 minutes
We do cross multiplication: x * p = 5 * 1
Then,
x = 5/p
5. A
This is an inverse ratio problem.
1/x = 1/a + 1/b where a is the time Sally can paint a house, b is the time John can paint a house, x is the time Sally and John can together paint a house.
So,
1/x = 1/4 + 1/6 … We use the least common multiple in the denominator that is 24:
1/x = 6/24 + 4/24
1/x = 10/24
x = 24/10
x = 2.4 hours.
In other words; 2 hours + 0.4 hours = 2 hours + 0.4•60 minutes
= 2 hours 24 minutes
6. D
The original price of the dishwasher is $450. During a 15% off sale, the price of the dishwasher will be reduced by:
15% of $450 = 0.15 x $450 = $67.50
So the sale price of the dishwasher will be:
$450 – $67.50 = $382.50
As an employee, the person receives an additional 20% off the lowest price, which is $382.50. We can calculate the additional discount as:
20% of $382.50 = 0.20 x $382.50 = $76.50
So the final price that the employee will pay for the dishwasher is:
$382.50 – $76.50 = $306.00
Therefore, the employee will pay $306.00 for the dishwasher.
7. D
Original price = x,
80/100 = 12590/X,
80X = 1259000,
X = 15,737.50.
8. D
We are given that each of the n employees earns s amount of salary weekly. This means that one employee earns s salary weekly. So; Richard has ‘ns’ amount of money to employ n employees for a week.
We are asked to find the number of days n employees can be employed with x amount of money. We can do simple direct proportion:
If Richard can employ n employees for 7 days with ‘ns’ amount of money,
Richard can employ n employees for y days with x amount of money … y is the number of days we need to find.
We can do cross multiplication:
y = (x * 7)/(ns)
y = 7x/ns
9. B
The distribution is done at three different rates and in three different amounts:
$6.4 per 20 kilograms to 15 shops … 20•15 = 300 kilograms distributed
$3.4 per 10 kilograms to 12 shops … 10•12 = 120 kilograms distributed
550 – (300 + 120) = 550 – 420 = 130 kilograms left. This 50
amount is distributed in 5 kilogram portions. So, this means that there are 130/5 = 26 shops.
$1.8 per 130 kilograms.
We need to find the amount he earned overall these distributions.
$6.4 per 20 kilograms : 6.4•15 = $96 for 300 kilograms
$3.4 per 10 kilograms : 3.4 *12 = $40.8 for 120 kilograms
$1.8 per 5 kilograms : 1.8 * 26 = $46.8 for 130 kilograms
So, he earned 96 + 40.8 + 46.8 = $ 183.6
The total distribution cost is given as $10
The profit is found by: Money earned – money spent … It is important to remember that he bought 550 kilograms of potatoes for $165 at the beginning:
Profit = 183.6 – 10 – 165 = $8.6
10. B
We check the fractions taking place in the question. We see that there is a “half” (that is 1/2) and 3/7. So, we multiply the denominators of these fractions to decide how to name the total money. We say that Mr. Johnson has 14x at the beginning; he gives half of this, meaning 7x, to his family. $250 to his landlord. He has 3/7 of his money left. 3/7 of 14x is equal to:
14x * (3/7) = 6x
So,
Spent money is: 7x + 250
Unspent money is: 6×51
Total money is: 14x
Write an equation: total money = spent money + unspent money
14x = 7x + 250 + 6x
14x – 7x – 6x = 250
x = 250
We are asked to find the total money that is 14x:
14x = 14 * 250 = $3500
11. D
First calculate total square feet, which is 15 * 24 = 360 ft2. Next, convert this value to square yards, (1 yards2 = 9 ft2) which is 360/9 = 40 yards2. At $0.50 per square yard, the total cost is 40 * 0.50 = $20.
This article is for parents who think about how to help with math and support their children. The math word problems below provide a gentle introduction to common math operations for schoolers of different grades.
What are math word problems?
During long-time education, kids face various hurdles that turn into real challenges. Parents shouldn’t leave their youngsters with their problems. They need an adult’s possible help, but what if the parents themselves aren’t good at mathematics? All’s not lost. You can provide your kid with different types of support. Not let a kid burn the midnight oil! Help him/ her to get over the challenges thanks to these captivating math word examples.
Math word problems are short math questions formulated into one or several sentences. They help schoolers to apply their knowledge to real-life scenarios. Besides, this kind of task helps kids to understand this subject better.
Addition for the first and second grades
These math examples are perfect for kids that just stepped into primary school. Here you find six easy math problems with answers:
1. Peter has eight apples. Dennis gives Peter three more. How many apples does Peter have in all?
Show answer
Answer: 8 apples + 3 apples = 11 apples.
2. Ann has seven candies. Lack gives her seven candies more. How many candies does Ann have in all?
Show answer
Answer: 7 candies + 7 candies = 14 candies.
3. Walter has two books. Matt has nine books. If Matt gives all his books to Walter, how many books will Walter have?
Show answer
Answer: 2 books + 9 books = 11 books.
4. There are three crayons on the table. Albert puts five more crayons on the table. How many crayons are on the table?
Show answer
Answer: 3 crayons + 5 crayons = 8 crayons.
5. Bill has nine oranges. His friend has one orange. If his friend gives his orange to Bill, how many oranges will Bill have?
Show answer
Answer: 9 oranges + 1 orange = 10 oranges.
6. Jassie has four leaves. Ben has two leaves. Ben gives her all his leaves. How many leaves does Jessie have in all?
Show answer
Answer: 4 leaves + 2 leaves = 6 leaves.
Subtraction for the first and second grades
1. There were three books in total at the book shop. A customer bought one book. How many books are left?
Show answer
Answer: 3 books – 1 book = 2 books.
2. There are five pizzas in total at the pizza shop. Andy bought one pizza. How many pizzas are left?
Show answer
Answer: 5 pizzas – 1 pizza = 4 pizzas.
3. Liza had eleven stickers. She gave one of her stickers to Sarah. How many stickers does Liza have?
Show answer
Answer: 11 stickers – 1 sticker = 10 stickers.
4. Adrianna had ten stones. But then she left two stones. How many stones does Adrianna have?
Show answer
Answer: 10 stones – 2 stones = 8 stones.
5. Mary bought a big bag of candy to share with her friends. There were 20 candies in the bag. Mary gave three candies to Marissa. She also gave three candies to Kayla. How many candies were left?
Show answer
Answer: 20 candies – 3 candies – 3 candies = 14 candies.
6. Betty had a pack of 25 pencil crayons. She gave five to her friend Theresa. She gave three to her friend Mary. How many pencil crayons does Betty have left?
Show answer
Answer: 25 crayons – 5 crayons – 3 crayons = 17 crayons.
Multiplication for the 2nd grade and 3rd grade
See the simple multiplication word problems. Make sure that the kid has a concrete understanding of the meaning of multiplication before.
Bill is having his friends over for the game night. He decided to prepare snacks and games.
1. He makes mini sandwiches. If he has five friends coming over and he made three sandwiches for each of them, how many sandwiches did he make?
Show answer
Answer: 5 x 3 = 15 sandwiches.
2. He also decided to get some juice from fresh oranges. If he used two oranges per glass of juice and made six glasses of juice, how many oranges did he use?
Show answer
Answer: 2 x 6 = 12 oranges.
3. Then Bill prepared the games for his five friends. If each game takes 7 minutes to prepare and he prepared a total of four games, how many minutes did it take for Bill to prepare all the games?
Show answer
Answer: 7 x 4 = 28 minutes.
4. Bill decided to have takeout food as well. If each friend and Bill eat three slices of pizza, how many slices of pizza do they have in total?
Show answer
Answer: 6 (5 friends and Bill) x 3 slices of pizza = 18 slices of pizza.
Mike is having a party at his house to celebrate his birthday. He invited some friends and family.
1. He and his mother prepared cupcakes for dessert. Each box had 8 cupcakes, and they prepared four boxes. How many cupcakes have they prepared in the total?
Show answer
Answer: 8 x 4 = 32 cupcakes.
2. They also baked some cookies. If they baked 6 pans of cookies, and there were 7 cookies per pan, how many cookies did they bake?
Show answer
Answer: 6 x 7 = 42 cookies.
3. Mike planned to serve some cold drinks as well. If they make 7 pitchers of drinks and each pitcher can fill 5 glasses, how many glasses of drinks are they preparing?
Show answer
Answer: 7 x 5 = 35 glasses.
4. At the end of the party, Mike wants to give away some souvenirs to his 6 closest friends. If he gives 2 souvenir items for each friend, how many souvenirs does Mike prepare?
Show answer
Answer: 6 x 2 = 12 souvenirs.
Division: best for 3rd and 4th grades
1. If you have 10 books split evenly into 2 bags, how many books are in each bag?
Show answer
Answer: 10 : 2 = 5 books.
2. You have 40 tickets for the fair. Each ride costs 2 tickets. How many rides can you go on?
3. The school has $20,000 to buy new equipment. If each piece of equipment costs $100, how many pieces can the school buy in total?
Show answer
Answer: $20,000 : $100= 200.
4. Melissa has 2 packs of tennis balls for $10 in total. How much does 1 pack of tennis balls cost?
5. Jack has 25 books. He has a bookshelf with 5 shelves on it. If Jack puts the same number of books on each shelf, how many books will be on each shelf?
6. Matt is having a picnic for his family. He has 36 cookies. There are 6 people in his family. If each person gets the same number of cookies, how many cookies will each person get?
Division with remainders for fourth and fifth grades
1. Sarah sold 35 boxes of cookies. How many cases of ten boxes, plus extra boxes does Sarah need to deliver?
Show answer
Answer: 35 boxes divided by 10 boxes per case = 3 cases and 5 boxes.
2. Candies come in packages of 16. Mat ate 46 candies. How many whole packages of candies did he eat, and how many candies did he leave? 46 candies divided by 16 candies = 2 packages and 2 candies left over.
3. Mary sold 24 boxes of chocolate biscuits. How many cases of ten boxes, plus extra boxes does she need to deliver?
Show answer
Answer: 24 boxes divided by 10 boxes per case = 2 cases and four boxes.
4. Gummy bears come in packages of 25. Suzie and Tom ate 30 gummy bears. How many whole packages did they eat? How many gummy bears did they leave?
Show answer
Answer: 30 divided by 25 = 1 package they have eaten and 20 gummy bears left over.
5. Darel sold 55 ice-creams. How many cases of ten boxes, plus extra boxes does he need to deliver?
Show answer
Answer: 55 boxes divided by 10 boxes per case = 5 cases and 5 boxes.
6. Crackers come in packages of 8. Mat ate 20 crackers. How many whole packages of crackers did he eat, and how many crackers did he leave?
Show answer
Answer: 20 divided by 8 = 2 packages eaten and 4 crackers are left.
Mixed operations for the fifth grade
These math word problems involve four basic operations: addition, multiplication, subtraction, and division. They suit best for the fifth-grade schoolers.
200 planes are taking off from the airport daily. During the Christmas holidays, the airport is busier — 240 planes are taking off every day from the airport.
1. During the Christmas holidays, how many planes take off from the airport in each hour if the airport opens 12 hours daily?
Show answer
Answer: 240÷12=20 planes take off from this airport each hour during the Christmas holidays.
2. Each plane takes 220 passengers. How many passengers depart from the airport every hour during the Christmas holidays? 20 x 220 = 4400.
Show answer
Answer: 4400 passengers depart from the airport every hour.
3. Compared with a normal day, how many more passengers are departing from the airport in a day during the Christmas holidays?
Show answer
Answer: (240-200) x 220 = 8800 more passengers departing from the airport in a day during the Christmas holidays.
4. During normal days on average 650 passengers are late for their plane daily. During the Christmas holidays, 1300 passengers are late for their plane. That’s why 14 planes couldn’t take off and are delayed. How many more passengers are late for their planes during Christmas week?
Show answer
Answer: 1300 – 650 = 650 more passengers are late for their planes each day during the Christmas holidays.
5. According to the administration’s study, an additional 5 minutes of delay in the overall operation of the airport is caused for every 27 passengers that are late for their flights. What is the delay in the overall operation if there are 732 passengers late for their flights?
Show answer
Answer: 732 ÷ 27 × 5 = 136. There will be a delay of 136 minutes in the overall operation of the airport.
Extra info math problems for the fifth grade
1. Ann has 7 pairs of red socks and 8 pairs of pink socks. Her sister has 12 pairs of white socks. How many pairs of socks does Ann have?
2. Kurt spent 17 minutes doing home tasks. He took a 3-minute snack break. Then he studied for 10 more minutes. How long did Kurt study altogether?
Show answer
Answer: 17 + 10 = 27 minutes.
3. There were 15 spelling words on the test. The first schooler spelled 9 words correctly. Miguel spelled 8 words correctly. How many words did Miguel spell incorrectly?
4. In the morning, Jack gave his friend 2 gummies. His friend ate 1 of them. Later Jack gave his friend 7 more gummies. How many gummies did Jack give his friend in all?
5. Peter wants to buy 2 candy bars. They cost 8 cents, and the gum costs 5 cents. How much will Peter pay?
Finding averages for 5th grade
We need to find averages in many situations in everyday life.
1. The dog slept 8 hours on Monday, 10 hours on Tuesday, and 900 minutes on Wednesday. What was the
average number of hours the dog slept per day?
Show answer
Answer: (8+10+(900:60)) : 3 = 11 hours.
2. Jakarta can get a lot of rain in the rainy season. The rainfall during 6 days was 90 mm, 74 mm, 112 mm, 30 mm, 100 mm, and 44 mm. What was the average daily rainfall during this period?
Show answer
Answer: (90+74+112+30+100+44) : 6 = 75 mm.
3. Mary bought 4 books. The prices of the first 3 books were $30, $15, and $18. The average price she paid for the 4 books was $25 per books. How much did she pay for the 4th books?
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Ordering and number sense for the 5th grade
1. There are 135 pencils, 200 pens, 167 crayons, and 555 books in the bookshop. How would you write these numbers in ascending order?
Show answer
Answer: 135, 167, 200, 555
2. There are five carrots, one cabbage, eleven eggs, and 15 apples in the fridge. How would you write these numbers in descending order?
3. Peter has completed exercises on pages 279, 256, 264, 259, and 192. How would you write these numbers in ascending order?
Show answer
Answer: 192, 256, 259, 264, 279.
4. Mary picked 32 pants, 15 dresses, 26 pairs of socks, 10 purses. Put all these numbers in order.
5. The family bought 12 cans of tuna, 23 potatoes, 11 onions, and 33 pears. Put all these numbers in order.
Fractions for the 6th-8th grades
1. Jannet cooked 12 lemon biscuits for her daughter, Jill. She ate up 4 biscuits. What fraction of lemon biscuits did Jill eat?
Show answer
Answer: 1/3 of the lemon biscuits.
2. Guinet travels a distance of 7 miles to reach her school. The bus covers only 5 miles. Then she has to walk 2 miles to reach the school. What fraction of the distance does Guinet travel by bus?
Show answer
Answer: 5/7 of the distance
3. Bob has 24 pencils in a box. Eighteen pencils have #2 marked on them, and the 6 are marked #3. What fraction of pencils are marked #3?
Show answer
Answer: 1/4 of the pencils.
4. My mother places 15 tulips in a glass vase. It holds 6 yellow tulips and 9 red tulips. What fraction of tulips are red?
Show answer
Answer: 3/5 of the tulips.
5. Bill owns 14 pairs of socks, of which 7 pairs are white, and the rest are brown. What fraction of pairs of socks are brown?
Show answer
Answer: 1/2 of the pairs of socks.
6. Bred spotted a total of 39 birds in an aviary at the Zoo. He counted 18 macaws and 21 cockatoos. What fraction of macaws did Bred spot at the aviary?
Show answer
Answer: 6/13 of the birds.
Decimals for the 6th grade
Write in words the following decimals:
- 0,004
- 0,07
- 2,1
- 0,725
- 46,36
- 2000,19
Show answer
Answer:
- 0,004 = four thousandths.
- 0,07 = seven hundredths.
- 2,1 = two and one tenth.
- 0,725 = seven hundred twenty five thousandths.
- 46,36 = foury six and thirty six hundredths.
- 2000,19 = two thousand and nineteen hundredths.
Comparing and sequencing for the 6th grade
1. The older brother picked 42 apples at the orchard. The younger brother picked only 22 apples. How many more apples did the older brother pick?
Show answer
Answer: 42 – 22 = 20 apples more.
2. There were 16 oranges in a basket and 66 oranges in a barrel. How many fewer oranges were in the basket than were in the barrel?
Show answer
Answer: 66 – 16 = 50 fewer oranges.
3. There were 40 parrots in the flock. Some of them flew away. Then there were 25 parrots in the flock. How many parrots flew away?
Show answer
Answer: 40 – 25 = 15 parrots flew away.
4. One hundred fifty is how much greater than fifty-three?
5. On Monday, the temperature was 13°C. The next day, the temperature dropped by 8 degrees. What was the temperature on Tuesday?
6. Zoie picked 15 dandelions. Her sister picked 22 ones. How many more dandelions did her sister pick than Zoie?
Show answer
Answer: 22-15 = 7 dandelions more.
Time for the 4th grade
1. The bus was scheduled to arrive at 7:10 p.m. However, it was delayed for 45 minutes. What time was it when the bus arrived?
2. My mother starts her 7-hour work at 9:15 a.m. What time does she get off from work?
3. Jack’s walk started at 6:45 p.m. and ended at 7:25 p.m. How long did his walk last?
4. The school closes at 9:00 p.m. Today, the school’s principal left 15 minutes after the office closed, and his secretary left the office 25 minutes after he left. When did the secretary leave work?
5. Suzie arrives at school at 8:20 a.m. How much time does she need to wait before the school opens? The school opens at 8:35 a.m.
6. The class starts at 9:15 a.m.. The first bell will ring 20 minutes before the class starts. When will the first bell ring?
Money word problems for the fourth grade
1. James had $20. He bought a chocolate bar for $2.30 and a coffee cup for $5.50. How much money did he have left?
Show answer
Answer: $20.00 – $2.30 – $5.50 = $12.20. James had $12.20 left.
2. Coffee mugs cost $1.50 each. How much do 7 coffee mugs cost?
Show answer
Answer: $1.5 x 7 = $10.5.
3. The father gives $32 to his four children to share equally. How much will each of his children get?
4. Each donut costs $1.20. How much do 6 donuts cost?
Show answer
Answer: $1.20 * 6 = $7,2.
5. Bill and Bob went out for takeout food. They bought 4 hamburgers for $10. Fries cost $2 each. How much does one hamburger with fries cost?
Show answer
Answer: $10 ÷ 4 = $2.50. One hamburger costs $2.50. $2.50 + $2.00 = $4.50. One hamburger with fries costs $4.50.
6. A bottle of juice costs $2.80, and a can is $1.50. What would it cost to buy two cans of soft drinks and a bottle of juice?
Show answer
Answer: $1.50 x 2 + $2.80 = $5.80.
Measurement word problems for the 6th grade
The task is to convert the given measures to new units. It best suits the sixth-grade schoolers.
- 55 yd = ____ in.
- 43 ft = ____ yd.
- 31 in = ____ ft.
- 29 ft = ____ in.
- 72 in = ____ ft.
- 13 ft = ____ yd.
- 54 lb = ____ t.
- 26 t = ____ lb.
- 77 t = ____ lb.
- 98 lb = ____ t.
- 25 lb = ____ t.
- 30 t = ____ lb.
Show answer
Answer:
- 55 yd = 1.980 in
- 43 ft = 14 yd 1 ft
- 31 in = 2 ft 7 in
- 29 ft = 348 in
- 72 in = 6 ft
- 13 ft = 4 yd 1 ft.
- 54 lb = 0,027 t
- 26 t = 52.000 lb
- 77 t = 154.000 lb
- 98 lb = 0,049 t
- 25 lb = 0?0125 t
- 30 t = 60.000 lb.
Ratios and percentages for the 6th-8th grades
It is another area that children can find quite difficult. Let’s look at simple examples of how to find percentages and ratios.
1. A chess club has 25 members, of which 13 are males, and the rest are females. What is the ratio of males to all club members?
2. A group has 8 boys and 24 girls. What is the ratio of girls to all children?
3. A pattern has 4 red triangles for every 12 yellow triangles. What is the ratio of red triangles to all triangles?
4. An English club has 21 members, of which 13 are males, and the rest are females. What is the ratio of females to all club members?
5. Dan drew 1 heart, 1 star, and 26 circles. What is the ratio of circles to hearts?
6. Percentages of whole numbers:
- 50% of 60 = …
- 100% of 70 = …
- 90% of 70 = …
- 20% of 30 = …
- 40% of 10 = …
- 70% of 60 = …
- 100% of 20 = …
- 80% of 90 = …
Show answer
Answer:
- 50% of 60 = 30
- 100% of 70 = 70
- 90% of 70 = 63
- 20% of 30 = 6
- 40% of 10 = 4
- 70% of 60 = 42
- 100% of 20 = 20
- 80% of 90 = 72.
Probability and data relationships for the 8th grade
1. John ‘s probability of winning the game is 60%. What is the probability of John not winning the game?
2. The probability that it will rain is 70%. What is the probability that it won’t rain?
3. There is a pack of 13 cards with numbers from 1 to 13. What is the probability of picking a number 9 from the pack?
4. A bag had 4 red toy cars, 6 white cars, and 7 blue cars. When a car is picked from this bag, what is the probability of it being red or blue?
5. In a class, 22 students like orange juice, and 18 students like milk. What is the probability that a schooler likes juice?
Geometry for the 7th grade
The following task is to write out equations and find the angles. Complementary angles are two angles that sum up to 90 degrees, and supplementary angles are two angles that sum up to 180 degrees.
1. The complement of a 32° angle = …
2. The supplement of a 10° angle = …
3. The complement of a 12° angle = …
4. The supplement of a 104° angle = …
Variables/ equation word problems for the 5th grades
1. The park is 𝑥 miles away from Jack’s home. Jack had to drive to and from the beach with a total distance of 36 miles. How many miles is Jack’s home away from the park?
Show answer
Answer: 2𝑥 = 36 → 𝑥 = 18 miles.
2. Larry bought some biscuits which cost $24. He paid $x and got back $6 of change. Find x.
Show answer
Answer: x = 24 + 6 = $30.
3. Mike played with his children on the beach for 90 minutes. After they played for x minutes, he had to remind them that they would be leaving in 15 minutes. Find x.
Show answer
Answer: x = 90 – 15 = 75 minutes.
4. At 8 a.m., there were x people at the orchard. Later at noon, 27 of the people left the orchard, and there were 30 people left in the orchard. Find x.
Show answer
Answer: x = 30 + 27 = 57 people
Travel time word problems for the 5th-7th grades
1. Tony sprinted 22 miles at 4 miles per hour. How long did Tony sprint?
Show answer
Answer: 22 miles divided by 4 miles per hour = 5.5 hours.
2. Danny walked 15 miles at 3 miles per hour. How long did Danny walk?
Show answer
Answer: 15 miles divided by 3 miles per hour = 5 hours.
3. Roy sprinted 30 miles at 6 miles per hour. How long did Roy sprint?
Show answer
Answer: 30 miles divided by 6 miles per hour = 5 hours.
4. Harry wandered 5 hours to get Pam’s house. It is 20 miles from his house to hers. How fast did Harry go?
Show answer
Answer: 20 miles divided by 5 hours = 4 miles per hour.
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Word problems are a special kind of math challenge. Not only do they require computation skills, but they also test students’ reading comprehension and problem-solving abilities. This can be the perfect storm of frustration for many kids. But it doesn’t have to be so hard! Today, I’m sharing easy strategies for helping students master the word problem!
Start With Reading Comprehension
The first step in conquering word problems goes right back to good ol’ reading comprehension. Kids have a bad habit of reading word problems like they are just passing through words to get to the numbers. Blah, blah, blah. 127! Blah, blah, blah, 52! They search for numbers and then rush to DO something with those numbers.
If our students are going to find success with word problems, they need to use their good reading strategies! Teach your students to:
Reread: Slow down and reread as many times as needed
Visualize: Imagine what is taking place in the problem. What is the order of events?
Ask questions: What do I know? What do I need to find out?
Make predictions: What would be a reasonable result? Do I expect the answer to be more or less than the numbers I’m given?
Teach a Problem-Solving Routine
Help students form effective thinking habits by teaching and practicing a problem-solving process. I’m not talking about a rote set of steps like CUBES (Circle the numbers, Underline the question, Box key words, etc.). I’m talking about a THINKING routine that helps the child learn the critical thinking skills involved in solving real problems.
I’ve found a simple PLAN, SOLVE, CHECK format works best. With young children, the biggest issue I find is that they simply skip (or struggle with) one of these steps, which causes a breakdown in their ability to solve the problem. In fact, I form my guided math groups for word problems around those three categories (planning strategies, solving strategies, checking strategies.) **You can grab a FREE Word Problem Thinking Mat in the Preview File of my Tiered Word Problems Pack.
Compare Problem Structures
One of my favorite word problem teaching tools is something I call “Side-by-Sides.” This is simply where we solve two different problems and then compare the structure of the problem and the operation used.
When students model, solve, and discuss the different problem types, they grow a deeper understanding of how word problems work.
**You can grab FREE samples of side-by-side problems in the Preview File of my Side-by-Side Word Problems Pack or grab a FREE Side-by-Side Mat in the Preview File of my Tiered Word Problems Pack for 2nd Grade or 3rd Grade.
Start With the Easy Version
Differentiation isn’t just for reading! Many students get overwhelmed when they see large numbers in word problems, so why not meet them where they are? I use what I call “Tiered Word Problems” to help students understand word problem structures and grow confidence before tackling the on-level version.
In my Word Problem Solving Bundle, I provide all kinds of leveled word problems – Tiered Problem Pages, Task Cards, Exit Tickets, and more, that all increase in challenge from first through fifth grade. This allows me to scaffold instruction by student need, and throughout the school year.
**You can grab free goodies and sample pages from the Bundle in the Word Problem Solving Bundle Sampler Pack.
Use Problem-Solving Rounds
Problem-Solving Rounds changed math instruction in my classroom forever! This powerful routine encourages students to move through the problem-solving process I mentioned at the beginning of this post, to explain their thinking, and to reflect on other possible strategies and solutions.
Since using Problem-Solving Rounds, my students are more confident with word problems, have a deeper understanding of problem-types, and are better able to tackle new and challenging tasks.
The basic structure of the rounds follows the Problem-Solving Process I’ve shared. In Round 1, students read and discuss the problem with a focus on UNDERSTANDING. In Round 2, they turn to a partner and explain how they PLAN to solve the problem. They SOLVE the problem independently in Round 3, and in Round 4 they work with a partner and as a whole class to CHECK and reflect on their work. For a detailed guide to this process, check out my blog post all about Problem-Solving Rounds.
I’d love to hear from you! Comment below with your favorite word problem tips for teachers!
Free Math Word Problems Collection for Grades 1-5
The LogicLike team has collected over 500+ math problems on various topics! We provide word
problems and math puzzles designed by experienced teachers. LogicLike helps children improve
their math skills in a playfull way!
Educational platform LogicLike.com helps children to build critical
thinking, math & logic skills. Adults improve mental abilities and develop
ingenuity.
Choose Word Problems by Grade
Our team has created word math problems for grades 1-5! Choose your grade, learn math and have
fun with LogicLike!
1st Grade Math Word Problems
In first grade, an important task for students is to learn addition and subtraction. Word
problems will help them do it!
Go to Math Word
Problems for 1st Grade.
2nd Grade Math Word Problems
In second grade children learn to add and subtract more complex numbers. We offer
our own collection of word math problems for 2nd grade students to practice!
Go to Math Word
Problems for 2nd Grade.
3rd Grade Math Word Problems
In grade 3 children begin to master multiplication and division, two-step word problems, solve
time and measurement problems!
Go to Math Word
Problems for 3rd Grade.
4th Grade Math Word Problems
In 4th grade, it is very important to consolidate all your knowledge from previous years and
learn how to apply it to more difficult word problems!
Go to Math Word
Problems for 4th Grade.
5th Grade Math Word Problems
In fifth grade, children begin to learn fractions, variable equations and mixed numbers.
LogicLike will help them do just that!
Go to Math Word
Problems for 5th Grade.
Children ages 5-12 enjoy the LogicLike course in a playful way. In the meantime,
they learn to reason, develop their math and logical skills, and interest in
knowledge.
Choose Word Problems by Topic
LogicLike has made over 13 themed picks for learning important topics in math! You can solve the
best word problems for addition and subtraction, multiplication and division, fractions and
mixed numbers, and more!
Money Word Problems
Tom has 50 cents, and his mother gives him 4 quarters.
How much money does Tom have?
Sara wants to buy 14 ChocoPies. The ChocoPies cost 35 cents each.
How much money will 14 ChocoPies cost?
Michael had $9,896.00 in his checking account.
Then, he spent $3,458.00 on the account.
How much money is left in Michael’s checking account?
Mixed Addition and Subtraction Word Problems
Sam caught 4 fish in the morning. Later, he caught 1 more fish.
How many fish did Sam catch in all?
At the birthday party, there were 12 cups but 4 cups were broken.
Mom goes out and buys 10 cups.
How many cups are there after she returns?
The pirate has a chest with coins.
Inside there are 328 gold, 264 silver and 136 copper coins.
How many coins are in the chest in total?
Multi-Step (Multiple Step) Word Problems
There were 6 yellow apples and 4 red apples on the plate. We ate 7
apples.
How many apples are left on the plate?
The clown had balloons of 3 colors, 6 pieces of each color.
He gave the kids 4 balls of 2 colors.
How many balloons does the clown have left?
Mary bought 15 pounds of strawberries at $1.68 per pound.
Marion bought 14 pounds of strawberries at $1.80 per pound.
Who paid more?
Multiplication Word Problems
Jessica saw 4 dozen doves in the park.
How many doves did Jessica see?
The chef of the restaurant prepares an omelet from 3 eggs.
If the chef has 72 omelets to make, how many eggs will he need?
Brenda’s kitten weighs 3 3/5 pounds.
Oliver’s dog weighs 4 times more.
How much does Oliver’s dog weigh?
Mixed Multiplication and Division Word Problems
Each crayon costs $3.00.
How much do 18 crayons cost?
A concert hall contains 6 sections of seats with the same number of seats in
each section. If there are 768 seats, how many seats are in each section?
The online store has $ 21,000 to buy online ads.
If each ad costs $ 6, how many ads can an online store purchase in a
month?
Is this enough to get 300 ads per month for a year?
Division Word Problems
There are 3 students in the class and 21 pens.
If the pens are divided equally among the students,
how many does each student get?
Monika earned $216 babysitting in 9 months.
She earned the same amount each month.
How much did Tina earn babysitting each month?
The toy company makes Teddy bears in two sizes — big and small.
The company produced 1,620 Teddy Bears last week.
They made 11 times more small Teddies than large ones.
How many big size toys did they make?
Fraction Word Problems
Sarah made nine chocolate bars.
She put powdered sugar on three chocolate bars.
Which part of the bars now have powdered sugar?
Jessica had $200, 1/4 of this money she spent on cosmetics.
How much money did Jessica spend?
The perimeter of the triangle is 40 inches.
The first side is 3/10 of the perimeter,
the other is 3/2 of the first side.
What is the third side of the triangle?
Proportion Word Problems and Worksheets
The cinema has 400 seats, 260 of which are occupied by spectators.
Express the attendance at a percent of capacity.
Molly has 45 markers. 20% of the markers write poorly.
How many markers are bad at writing?
In an exam, Shawna secured 340 marks.
If she secured 85% makes, find the maximum marks.
Ratio Word Problems
The ratio of green and red apples in a bag is 2 : 5.
If there are only green and red apples in a bag,
what is the smallest total number of apples possible?
65 children are swimming in the pool.
There are 15 more boys than girls.
What is the ratio of boys to girls?
James gives Kathy a box of building blocks and tells her that the ratio of
red blocks to total is 3 to 19. He also tells her there are 3 times as many
yellow blocks as red, and that there are 2 more green than red.
What is the ratio of yellow blocks to green?
Dividing Decimals Word Problems
Jack paid $99 for 6 pizzas.
How much did he pay per pizza?
Mark has run a total of 84.24 miles in 32.4 days of running training.
How many miles did he run on average per day?
An Olive Oil Factory made 809.9 pounds of olive oil in 6.5 minutes.
How much oil, on average, did the factory make each minute?
Volume Word Problems
Ship container has a length of 40 feet, width 8 feet, and 9.6 feet in
height.
Find the volume of the container in cubic feet.
The volume of a cylinder is 441 cubic inches. The height of the cylinder is
9 in.
Find the radius of the cylinder to the nearest tenth of an inch.
A cylindrical hole with a diameter of 8 inches is bored through a cub 10
inches on a side. Find the surface area and volume of this solid casting.
Measurement Word Problems
Jack was 5 feet 9 inches tall last year.
He grew 7 inches in the past year.
How tall is he now?
The turkey is 18 lb 11 oz and the stuffing inside the turkey is 5 oz.
What is the total weight of the roasted turkey?
From 10g of instant coffee, 120 ml of coffee can be brewed.
In a can of instant coffee is 200 g.
How much coffee (in liters) can you make from a can?
Mila is 5 years older than her brother, but 3 times younger than her
mother.
How old is Mila and how old is her mother, if Mila’s brother is 6 years old?
In 8 years, Mary will be 3 times as old as she is today.
How old is Mary today?
Felix is twice as old as his friend Greg.
Greg is 5 years older than Rachel.
In 5 years, Felix will be three times as old as Rachel.
How old is Greg now?
Have a look at some age word
problems that the LogicLike team creates for
children and adults.
Mathematics is fundamental to encouraging kids’ logical reasoning, problem-solving, and mental rigor. Also, it plays a critical role in helping kids understand other subjects, like science, social studies, and even art and music. Thus, having strong math skills is essential for kids’ academic success.
In this blog, we’ve aimed to help you reinforce your kid’s core math skills and created lists of math word problems for all grade levels. So there is no need to look around for math word problems worksheets – all the useful math word problems and answers are here! Let’s get started!
Math Word Problems for Kindergarten
Kindergarten is the first step of getting kids familiar with mathematical concepts and providing them with a strong foundation in mathematics.
Throughout the kindergarten years, kids need to practice math word problems with kindergarten math games including easy four operations, like addition and subtraction.
Here are beneficial math word problems examples for kindergartners.
Marker Problem
Sue has 2 markers. Tom has 3 markers. How many markers do they have altogether?
Block Problem
There are 4 red blocks on the rug. There are 4 yellow blocks on the rug. How many blocks are on the rug in all?
There are 8 blocks on the rug.
Cat Problem
1 cat is in the yard. 4 more cats come into the yard. How many cats are in the yard now?
There are 5 cats in the yard.
Insects Problem
Emily saw 9 ladybugs and Alex saw 2 ants. How many insects did they see in all?
They saw 11 insects altogether.
Ornament Problem
There are 4 ornaments hanging from the tree. Susan hung 6 more. How many ornaments are on the tree now?
There are 10 ornaments on the three now.
Flower Problem
James has 5 flowers. He gives Lisa 3 flowers. How many flowers does James have left?
Bird Problem
8 birds were on the playground. 5 birds flew away. How many birds are still on the playground?
3 birds are still on the playground.
Peanut Problem
Karen had 4 peanuts. She ate 3 of them. How many peanuts does Karen have left?
Box Problem
There are 6 boxes on the truck. 4 boxes are blue. The rest are green. How many boxes are green?
Donut Problem
Frank has 7 donuts. If he gives 3 away, how many donuts will he have left?
Frank will have 4 donuts left.
Book Problem
Ava has 2 more books than Lucy. Lucy has 6 books. How many books does Ava have?
Pizza Problem
Sarah bought 5 pizzas and each pizza has 4 slices. How many pizza slices does Sarah have?
Sarah has 20 slices of pizza.
Swing Problem
There are 5 swings at the park. On each swing, there are 2 kids. How many kids are there at the park?
There are 10 kids at the park.
Bus Problem
There are 2 buses with 6 kids on each bus. How many kids are there in all?
There are 12 kids altogether.
Lollipop Problem
10 containers are filled with 4 lollipops each. How many lollipops are there in all?
There are 40 lollipops in all containers.
Plane Problem
30 people are on the plane. 15 of them are girls. How many boys are on the plane?
There are 15 boys on the plane.
Vase Problem
Tom has 12 flowers and 3 vases. He should put the same amount of flowers in each vase. How many flowers should go into each vase?
Tom needs to put 4 flowers in each vase.
Cookie Problem
Martha is inviting 4 friends to the party. She has 12 cookies to offer equally. How many cookies will each friend get?
Each friend will get 3 cookies.
Toe Problem
There are 30 toes in the swimming pool and each person has 10 toes. How many people are in the pool?
There are 3 people in the pool.
Apple Problem
A teacher bought 2 apples for each of her students. There are 6 students in the classroom. How many apples did she buy?
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1st Grade Math Word Problems
Generally, math word problems for 1st grade are slightly harder than the ones included in the kindergarten curriculum and they might be difficult for kids to grasp if questions are not well written.
Let’s explore all the high-quality 1st grade math word problems that can boost confidence in mathematics and enable kids to enjoy solving mixed operations word problems, time word problems, or subtraction.
Treat Problem
Gina’s dog got 3 treats on Sunday and 10 treats on Monday. How many treats did Gina’s puppy get in all?
The puppy got 13 treats in all.
Zoo Problem
Joel went to the zoo with his family. During the first hour, he saw 1 bear, 2 tigers, and 3 lions. How many animals did Joel see in his first hour at the zoo?
Joel saw 6 animals during the first hour.
Car Problem
Jackson sorted his toy cars by color. He has 6 blue cars, 5 green cars, and 4 black cars. How many cars does Jackson have in all?
Age Problem
There are 3 kids in the Clark family. Tina is 3, Joshua is 4, and Samantha is 7. If you add up all their ages, what is the sum of the Clark kids’ ages?
Vase Problem
Rachel’s mom had some flowers in a vase. Three of the flowers wilted and Rachel’s mom took them out of the vase. Now there are 5 flowers in the vase. How many flowers were in the vase to start with?
There were 8 flowers in the vase.
Dessert Problem
In the fridge, there are 4 chocolate puddings, 7 brownies, and 5 ice creams. How many desserts are there?
Cookie Problem
Alvin’s mother baked 37 cookies and 10 muffins. They all ate together and there were 3 cookies left. How many cookies were eaten?
Subtraction Problem
Write a subtraction sentence that fits this: “Tom was writing thank you cards for the 21 guests that came to his birthday party. He finished writing 7 cards and he still needs to write 14 cards.”
Candy Problem
You have 5 pieces of candy. Your mom gives you 3 more, but your brother eats one of them. How many pieces of candy do you have left?
You have 7 pieces of candy.
Balloon Problem
You have 7 balloons and your friend has 5 balloons. How many more balloons do you have than your friend?
You have 2 more balloons than your friend.
School Problem
School starts at 9 o’clock in the morning and ends 6 hours later. What time does school end?
3 o’clock in the afternoon
Meeting Problem
The principal started a meeting on Monday at 10 o’clock in the morning. The meeting ended at 1 o’clock in the afternoon. How long was the meeting?
Time Problem
All students left the school at 3 o’clock. The vice principal stayed for 3 more hours. When did the vice-principal leave the school?
Parking Lot Problem
There is a parking lot in front of a building. There are two rows of parking spots. There are 15 spots in each row. How many parking spots are there in total?
There are 30 parking spots in total.
Fee Problem
The fee for parking is $2 for one hour. How much is the parking fee if a car is parked for 3 hours?
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2nd Grade Math Word Problems
Kids need to practice their math skills with mixed addition, subtraction, and multiplication word problems as well as money and measurement problems with math word problems 2nd grade.
Let’s dive into the math word problems for 2nd grade!
Grocery Problem
Lucy went to the grocery store. She bought 12 packs of cookies and 16 packs of noodles. How many packs of groceries did she buy in all?
She bought 28 packs of groceries in all.
Reading Problem
I read 21 pages of my English book yesterday. Today, I read 117 pages. What is the total number of pages that I read?
Candy Problem
Linda has 34 candies. Chloe has 128. How many candies do they have together?
They have 162 candies in all.
Subtraction Problem
Alyssa had 129 cookies. Aiyanna has 140 cookies and 34 crackers. How many more cookies does Aiyanna have than Alyssa?
Noodle Problem
Daniel had some noodles. He gave 12 noodles to William. Now Daniel only has 54 noodles. How many noodles did Daniel have to begin with?
Daniel had 66 noodles to begin with.
Bird Problem
29 birds were sitting in a tree. Some more fly up to the tree. Then there were 142 birds in the tree. How many more flew up to the tree?
113 more birds flew up to the tree.
Multiplication Problem
The class is doing a math activity. There are 5 groups of 4 students. How many students are there in the class?
There are 20 students in the class.
Length Problem
Ashley bought a new Christmas tree that is 75 inches tall. The height of the old Christmas tree was 68 inches. How much taller is the new Christmas tree?
The new Christmas tree is 7 inches taller than the old Christmas tree.
Aquarium Problem
The aquarium opens at 10:00 in the morning and closes at 8:30 in the evening. How many hours is it open?
It is open for 10 and a half hours every day.
Train Problem
Trains arrive at the station every 45 minutes. The first train arrived at 6:15 in the morning. At what time will the next train arrive?
The next train will arrive at 7:00 in the morning.
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3rd Grade Math Word Problems
The math word problems for 3rd graders you are about to explore are relatively harder by including variables. Still, they are fun to solve and practice some math concepts.
Now, it is time to dive into 3rd grade math word problems!
Mixed Addition and Subtraction Problem
Janine owns a catering service company. She was hired to cater for the mayor’s 50th birthday. For the dessert, she needs to make 750 mini pies. She divided her crew into 3 teams. If the first team made 235, and the second made 275, how many pies should the third team make?
The third team should make 240 more mini pies.
Cookie Problem
Helen baked 435 chocolate chip cookies yesterday and 139 cookies this morning. How many cookies did Helen bake?
Height Problem
Ken is 5 feet 11 inches tall. Ken is 7 inches taller than his younger brother Mike. How tall is Mike?
Mike is 5 feet 4 inches tall.
Lunch Problem
Abby had $24. After she spent $3 on snacks and $x for lunch, she had $12 left. How much did she spend on her lunch?
Shelf Problem
There are 6 books on the desk and b books on the shelf. There are 37 books in total. How many books are on the shelf?
There are 31 books on the shelf.
Book Problem
Last week, the first graders borrowed d books and the second graders borrowed 15 books. The third graders borrowed 24 books. The three grades borrowed 54 books in total. How many books did the first graders borrow?
The first graders borrowed 15 books.
Water Park Problem
The admission for a water park for adults is 9 dollars. The admission for a child is x dollars, which is 4 dollars cheaper than the adult admission. How much is the child’s admission?
Student Problem
Smith Elementary School has 286 boys and 241 girls. What is the total number of students that attend Smith Elementary?
Money Problem
Michelle searched through all 6 of her drawers and found ten $5 bills. What is the total value of money she has in $5 bills?
Milk Problem
A carton of milk has 32 fluid ounces. If we pour the milk into four mugs evenly, what is the volume of milk in each mug?
Each mug has 8 fluid ounces of milk.
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4th Grade Math Word Problems
It is essential to learn how to use data and solve problems by understanding the context of 4th grade math word problems for kids.
Here are grade 4 math word problems that will enable kids to practice their math and logical thinking, problem-solving, and analytical thinking skills.
Hotel Problem
A hotel has 7 floors. The guest rooms are on the 1st to 6th floors. How many rooms are there if there are 35 rooms on each floor?
Clinic Problem
There are 4 doctors working in a clinic. Each doctor has 2 nurses assisting them. There are 2 receptionists, Jay and Molly, working at the reception. How many people are working in the clinic?
There are 14 people working in the clinic.
Pot Problem
The capacity of a pot is 1 quart and the volume of a can of soup is 8 oz. How many cans of soup can the pot hold? Hint: 16 ounces = 2 cups = 1 pint, 2 pints = 1 quart, and 4 quarts = 1 gallon
The pot can hold 4 cans of soup.
Flagpole Problem
The flagpole outside the school is 12 feet tall. But the school decided to change to a taller flagpole that is 14 feet tall. How much taller is the new flagpole?
The new flagpole is 2 feet taller.
Length Problem
Carrie was 4 ft 11 in tall last year. She grew 6 inches in the past year. How tall is she now?
String Problem
Jack has a piece of string that is 24 inches long. If he divides it into 6 equal pieces, what is the length of each piece of shorter string?
The length of each piece of shorter string is 4 inches.
Bench Problem
The bench is 3 ft 1 in long. If four benches are put alongside the gym, what is the total length of four benches?
The total length of four benches is 12 ft 4 in.
Time Problem
Liam usually gets up at 7:35 a.m. Since he was sick, he got up 1 hour and 35 minutes later than usual. When did he get up?
It is clear that the difficulty of math word problems increases with each grade level and becomes harder for kids to solve these problems as they move up. Therefore, they need to practice a lot and improve their cognitive skills constantly!
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Math Word Problems for 5th Graders
Math word problems for 5th graders are like a milestone in all kids’ math learning experiences. The problems in this grade include various components like four operations, decimals, measurements, fractions, and many more.
Let’s check out the 5th grade math word problems that will challenge their math skills and encourage them to practice even more.
Population Problem
There are about 795 houses in the region. The average family size is 6 people. How many people live in the region approximately?
Approximately 4,770 people live in the region
Survey Problem
In 2017, a survey found that there are 34 babies born for every 1,000 families in a city. Of these babies, 20 of them are boys. There are 88,326 families in this city in 2017 and the total number of girls born this year is about __________.
Equipment Problem
The school has $20,000 to buy new computer equipment. If each piece of equipment costs $50, how many pieces can the school buy in total?
The school can buy 400 pieces of equipment.
Decimal Problem
Ashley is making cookies for her office’s Christmas party. Each batch of cookie mix needs 0.4 cups of sugar, and each batch can make 16 cookies. If Ashley is making 4 batches of cookies, how much sugar does she need?
She needs 1.6 cups of sugar.
Sugar Box Problem
There are 2 boxes of sugar in the kitchen. The green box is 1.26 kg, and the red box is 1.026 kg. Which box contains more sugar?
The green box contains more sugar.
Croissant Problem
A baker is making croissants. He has 18 pounds of dough. Each croissant is made from 1/8 pound of dough. How many croissants can he make?
The baker can make 144 croissants.
Sewing Kit Problem
In Charlotte’s sewing kit, there are 𝑡 bundles of thread. Each bundle has 34 feet of thread. Write the expression for the total length of the thread in her sewing kit.
Parking Spot Problem
Each parking spot is 8 feet wide. A parking lot has 24 parking spots side by side. What is the width (measured in yards) of the parking lot?
The width of the parking lot is 64 yards.
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6th Grade Math Word Problems
Now that your kids get into middle school, they need to practice math with equations, inequalities, variables, and much more to solve the problems.
Here are the best 6th grade math word problems that will benefit your kids’ mathematics knowledge.
Hall Problem
In front of the wedding hall, there were 20 private cars and 12 buses. Each bus was carrying 35 people and each private car was carrying 3 people. How many people were in the hall?
480 people were in the hall.
Working Hour Problem
Matty worked for 450 minutes on Monday. On Tuesday, he worked half the number of minutes he worked on Monday. On Wednesday, he worked only half a day, which was 300 minutes. How many more minutes did he work on Wednesday than Tuesday?
He worked 75 minutes more.
Ratio Problem
There are 5 people in a room, three of which are boys and two of which are girls. What is the ratio of boys to girls?
Train Problem
Two trains are passing each other on the train track. One has 18 carriages and the other has 90 carriages. How many times fewer carriages does one train have compared to the other?
Cupcake Problem
Jemima brought 10 cupcakes and Eddy brought 6 cupcakes to share with their class. What is the ratio of Jemima’s total cupcakes to Eddy’s?
Feet Problem
Convert 100m to feet if the ratio of meters to feet is 1 meter to 3,28 feet.
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7th Grade Math Word Problems
During high school, kids need to practice math word problems that help them develop an understanding of how to pull apart a problem and separate it into important sections before solving it.
So let’s see what 7th grade math word problems look like.
Ball Problem
In a bag full of small balls, 1/4 of these balls are green, 1/8 are blue, 1/12 are yellow, and the remaining 26 are white. How many balls are blue?
School Problem
In a school, 50% of the students are younger than 10, 1/20 are 10 years old, and 1/10 are older than 10 but younger than 12. The remaining 70 students are 12 years or older. How many students are 10 years old?
Ten students are 10 years old.
Square Problem
If the length of the side of a square is doubled, what is the ratio of the areas of the original square to the area of the new square?
Book Problem
John had a stock of 1200 books in his bookshop. He sold 75 on Monday, 50 on Tuesday, 64 on Wednesday, 78 on Thursday, and 135 on Friday. What percentage of the books were not sold?
Word Population Problem
In 2008, the world population was about 6,760,000,000. Write the 2008 world population in scientific notation.
Math Word Problems for 8th Graders
Eighth graders need to be able to apply various math concepts simultaneously to solve problems and use their comparison and analysis skills.
The math word problems you are about to explore will be challenging their multiple cognitive skills simultaneously and challenging them to use all math concepts they have learned throughout their academic life.
Radius Problem
Calculate the circumference of a circular field whose radius is 5 centimeters.
Car Problem
A car is traveling 75 kilometers per hour. How many meters does the car travel in one minute?
Pet Store Problem
If a pet store has a total of 66 cats and dogs in a ratio of 2 cats per dog, how many cats are there?
Bowl Problem
Tammi has a bowl of fruit that only has apples and bananas. The ratio is 2 apples to each banana. If there are a total of 15 fruits in the bowl, how many apples are there?
Discount Problem
John bought a shirt on sale for 25% off the original price and another 25% off the discounted price. If the final price was $16, what was the price before the first discount?
How to Understand Math Word Problems
As kids advance in school, they might be struggling a bit more to solve math word problems in their grade levels. Actually, solving math word problems is only about seeing the math behind words and using a step-by-step method.
Let’s check out how kids can understand and solve math problems in easy steps:
- Read the problems slowly and carefully.
- Underline the important sections, numbers, data, or phrases.
- Draw tables, pictures, or any kind of visualization that will spark your spatial awareness.
- When you want to solve a math problem, think, “What do I need to find?”
- List the given information or data.
- Find math word problems key words.
- Solve your problems and check for the answers.
- Practice as many math word problems as you can.
- Memorize the multiplication table.
How to Do Math Word Problems
Clearly, solving math word problems is all about putting your cognitive skills to good use. Kids should understand the problem in detail, determine which part of the problem is asking for an actual answer, and use the information they have to get the appropriate answer.
The process of solving math word problems is easier said than done. Therefore, kids need to practice a lot with beneficial resources like math activities and math jokes to improve not only their math skills but also their cognitive skills to achieve solving any kind of word problems they encounter.
If you are looking for a scientifically designed educational resource to satisfy your kids’ educational needs and enhance their cognitive abilities, the MentalUP app is here to support you with more than 150 learning games and exercises. 😍
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14 February 2023
Publish Date: 14 February 2023
Lauran Cole
Six interesting greatest common factor word problems you can give to your students to tease them.
Word problem #1
A cell phone company produces 40 defective phones out of every 5000 phones. Another cell phone company produces 30 defective phones out of every 6000 phones. What is the highest number of defective phones do the companies have in common?
Word problem #2
Anthony’s mom gave him 30 dollars while Jennifer’s mom gave her 36 dollars. They want to give the same amount of money to a charity. What is the greatest donation they can make?
Word problem #3Sam has 39 pencils and 26 pens to distribute to his classmates? Each student must receive the same amount of pens and pencils and there will be no pens or pencils left. What is the greatest number of students in that class?
More Interesting Greatest common factor word problems
Word problem #4
Peter has 12 dollars in his pocket
and James has 15 dollars. They want to give money to each other. How
much money will they have left after they give to each other the same
but highest possible amount?
Word problem #5
A car dealer has 20 Toyota Camrys and
25 Honda Accords left on the parking lot. The dealer wants to arrange
the cars in rows so that each row has the same number of vehicles and
the same number of vehicles of each type. What is the greatest number of rows that can be formed?
Word problem #6
A math teacher combines his class with a science teacher for a group activity. The math teacher has 18 students and the science teacher has 27 students. The teachers want to form groups of the same size. Each group must have the same number of math students and the same number of science students. What is the greatest number of groups the teachers can form?
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