Word problems with solutions and answers

Grade 8 math word problems with answers are presented. Also solutions and explanations are included.

  1. A car traveled 281 miles in 4 hours 41 minutes. What was the average speed of the car in miles per hour?
  2. In a group of 120 people, 90 have an age of more 30 years, and the others have an age of less than 20 years. If a person is selected at random from this group, what is the probability the person’s age is less than 20?
  3. The length of a rectangle is four times its width. If the area is 100 m2 what is the length of the rectangle?
  4. A six-sided die is rolled once. What is the probability that the number rolled is an even number greater than 2?
  5. Point A has the coordinates (2,2). What are the coordinates of its image point if it is translated 2 units up and 5 units to the left, and reflected in the x axis?
  6. The length of a rectangle is increased to 2 times its original size and its width is increased to 3 times its original size. If the area of the new rectangle is equal to 1800 square meters, what is the area of the original rectangle?
  7. Each dimension of a cube has been increased to twice its original size. If the new cube has a volume of 64,000 cubic centimeters, what is the area of one face of the original cube?
  8. Pump A can fill a tank of water in 5 hours. Pump B can fill the same tank in 8 hours. How long does it take the two pumps working together to fill the tank?(round your answer to the nearest minute).
  9. A water tank, having the shape of a rectangular prism of base 100 square centimeters, is being filled at the rate of 1 liter per minute. Find the rate at which the height of the water in the water tank increases. Express your answer in centimeters per minute.
  10. Dany bought a total of 20 game cards some of which cost $0.25 each and some of which cost $0.15 each. If Dany spent $4.2 to buy these cards, how many cards of each type did he buy?

  11. The size of the perimeter of the square ABCD is equal to 100 cm. The length of the segment MN is equal to 5 cm and the triangle MNC is isosceles. Find the area of the pentagon ABNMD.

    square in problem 11.

  12. Water is being pumped, at a constant rate, into an underground storage tank that has the shape of a rectangular prism. Which of the graphs below best represent the changes in the height of water in the tank as a function of the time?

    rectangular prism in problem 12
    .

  13. Initially the rectangular prism on the left was full of water. Then water was poured in the right cylindrical container so that the heights of water in both containers are equal. Find the height h of water in both containers.(round your answer to the nearest tenth of a cm).

    rectangular prism in problem 13
    .

  14. Peter drove at a constant speed for 2 hours. He then stopped for an hour to do some shopping and have a rest and then drove back home driving at a constant speed. Which graph best represents the changes in the distance from home as Peter was driving?

    graph of distance- time in problem 14
    .

  15. Two balls A and B rotate along a circular track. Ball A makes 2 full rotations in 26 minutes. Ball B makes 5 full rotation in 35 minutes. If they start rotating now from the same point, when will they be at the same starting point again?
  16. In a certain college, 40% of the senior class students are taking Physics, 30% are taking calculus and 10% are taking both. If 40 students are enrolled in the senior class, how many students are taking neither Physics nor calculus?
  17. Joe drove at the speed of 45 miles per hour for a certain distance. He then drove at the speed of 55 miles per hour for the same distance. What is the average speed for the whole trip?

  18. If the radius of a cylindrical container is doubled, how do you change the height of the container so that the volume will stay the same?

  19. One leg of a right triangle is 18 cm and its area is 108 square cm. Find its primeter.
  20. What is the sum of the sizes of the interior angles of a polygon with 53 sides?
  21. Jack is taller than Sarah but shorter than both Malika and Tania. Malika is shorter than tania. Natasha is shorter than Sarah. Who is the shortest?
  22. What is the height (one of the legs) and the hypotenuse of an isosceles right triangle that has an area of 800 square feet?
  23. Find the circumference of a circle inscribed inside a square with a side of 20 meters.
  24. Two different schools (A and B) have the same number of pupils. The ratio of the boys in school A and the boys in school B is 2:1 and the ratio of the girls in school A and the girls in school B is 4:5. Find the ratio of the boys in school A to the girls in school A.
  25. A water tank has the shape of a rectangular prism of base 50 cm2. This tank is being filled at the rate of 12 liters per minutes. Find the rate at which the height of the water in the water tank increases; express your answer in millimeters per second.
  26. One pump fills a tank two times as fast as another pump. If the pumps work together they fill the tank in 18 minutes. How long does it take each pump working alone to fill the tank?

Answers to the Above Questions

  1. 60 miles per hour
  2. 0.25
  3. 20 meters
  4. 1/3
  5. (-3,-4)
  6. 300 square meters
  7. 400 square cm
  8. 3 hours and 5 minutes
  9. 10 cm per minute
  10. 12 cards at $0.25 and 8 cards at $0.15
  11. 618.75 square cm
  12. graph at the bottom left
  13. 7.2 cm
  14. graph at the bottom left
  15. After 1 hour and 31 minutes
  16. 16 students
  17. 49.5 miles per hour
  18. 1/4 of the original height
  19. 51.6 cm
  20. 9180�
  21. Natasha
  22. height (leg) = 40 feet , hypotenuse = 40 √(2) feet
  23. 20π meters
  24. ratio of the boys in school A to the girls in school A is 1:2
  25. 40 mm/second
  26. faster pump: 27 minutes, slower pump: 54 minutes

More References and Links

Middle School Math (Grades 6, 7, 8, 9) — Free Questions and Problems With Answers
High School Math (Grades 10, 11 and 12) — Free Questions and Problems With Answers
Primary Math (Grades 4 and 5) with Free Questions and Problems With Answers
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In today’s post, we are going to see a selection of Second Grade word problems that usually appear at the end of a Smartick session for children with a second-grade level. You will also get a chance to see the solution for each problem.

Ready? Let’s go!

How To Correctly Solve Any Problem

  • Read the word problem carefully! You should understand what is being asked very clearly.
  • Write down the data.
  • Complete the operations and always write down the results for each.
  • Write the solution very clearly and respond to what the problem asks.

Second Grade Word Problems

Let’s practice with a selection of Second Grade word problems from Smartick.

Word Problem 1

Second Grade Word Problems at Smartick session

Solution 1

For this word problem, Smartick has given us the solution and it is up to us to select the correct question.

The answer is: ”They were planting 38 chestnut seeds.” Let’s take a look at each option to see which would work with this answer, we’ll use the process of elimination.

  • How many more chestnut seeds than oak seeds were they planting? This is asking us about the different types of seeds, but the solution is only asking about chestnuts so this question is not what we are looking for.
  • Are fewer chestnut trees or fewer oak trees expected to grow? This answer isn’t the one we are looking for because the answer only gives us information about chestnut seeds.
  • How many more poplar seeds than oak seeds were they planting? Nothing was mentioned in the word problem or the answer about poplar trees.
  • How many chestnut seeds were they planting? Here were are being asked about the number of chestnut seeds that were planted and the solution tells us the amount that was planted. This is the question that we are looking for.

Word Problem 2

 Second Grade Word Problems at Smartick session

Solution 2

This word problem is asking how many tablespoons of oil have been added to a stew, and we know that there were 20 tablespoons more added than the 9 tablespoons that the recipe called for. So we need to know how many tablespoons in total were added to the stew.

9 + 20 = 29

29 tablespoons of oil were added to the stew. 

Word Problem 3

 Second Grade Word Problems at Smartick session

Solution 3

Here, we are being asked to calculate the total number of clocks. To help us solve it, we can create a drawing using the information from the word problem. It tells us that there are 2 clocks on each shelf, and there are 6 shelves.

Word problem for second graders.

Word Problem 4

Word problem for second graders.

Solution 4

First, we are asked which operation we need to use to solve the problem and are provided with the options of addition and subtraction. Let’s read the word problem carefully to see which would work best…

Second grade word problems.

There were 6 oranges before Diego added more, and now there are 10. Therefore, the difference between the amount in the bowl now, and the amount there was before, is the amount that Diego added. If we add the numbers, adding the larger quantity to the lesser quantity, it does not give us the number of oranges Diego added to the bowl. However, if we subtract the smaller quantity from the larger quantity, we should find the difference.

The answer to the first question would be: 10 – 6.

And the solution to the word problem: 10 – 6 = 4.

Diego added 4 oranges. 

I hope you have learned something new from this selection of second grade word problems that appear during our daily Smartick sessions. If you would like to learn more about other primary school math topics, register with Smartick and try it for free.

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Looking for engaging word problems for upcoming lessons or homeschool math activities?
Pass our collection of free 5th grade math word problems with answers and solutions.
Train and improve your math skills with LogicLike!

Math Problems for Grade 5

During the summer holidays, Ginny earns extra money mowing lawns.
He mows 8 lawns an hour and has 32 lawns to mow.
How long will it take him?

Our class made 360 ​​cookies for the school fair.
Each family prepared 40 cookies.
How many families have made cookies?

Mom bought her daughter Molly 4 gifts of $24 each and Sun Max 6 gifts of $18 each.
How much money did she spend in total?

5th grade students going on an excursion. This means that 125 students must board the buses, and each bus can accommodate 48 students.
How many buses will the school need?

Your mom bought you a one-year tennis pass for $300.
She’s making 12 payments of how much money to pay for the pass?

The mean average of the following 5 math marks will become Sandra’s report card mark: 96, 69, 83, 73 and 85. What will her report card mark be?

In July Potter earns extra money mowing lawns.
He mows 8 lawns an hour and has 28 lawns to mow.
How long will it take him?

Maggie wants to ride the Ferris wheel, the roller coaster, and the log ride. The Ferris wheel costs 6 tickets, the roller coaster costs 5 tickets and the log ride costs 8 tickets. Maggie has 13 tickets.
How many more tickets should Maggie buy?

Mount Kilimanjaro is 19,340 feet high.
Mount Everest is 29, 028 feet high.
How much smaller is Mount Kilimanjaro?

Betty had 29 dolls.
Then she bought 23 dolls from the toy store and got 25 dolls for her birthday.
Betty gave 12 of the dolls to her sister and 17 to her friend Lily.
How many dolls does Betty have left?

Understand fractions as division

* Write the answer as a proper fraction or a mixed number.

Mr. Green ordered a giant sausage for the party. It was 6 feet long!
When the sausage arrived, it was cut into 16 equal pieces.
How long is each piece?

Mrs. Brown decided to make a healthy snack for the 20 students in his class.
She gave each student a dish of yogurt,
and divided 6 cups of berries equally among the dishes.
How many cups of berries did each student get in their yogurt?

5th-grade students take an excursion to the Nature Museum. They will be in the museum for 3 hours and they want to spread their time evenly among the 10 exhibits.
How much time should they spend at each exhibition?

On the birthday, Luca wants to bring in homemade breakfast biscuits for his classmates.
He makes a batch of 25 biscuits using 8 cups of flour.
How much flour is in each biscuit?

Variable equations

Michelle had a list of 28 books she wanted to read.
Then she read 4 and crossed them off the list.
The letter X stands for the number of books Michelle has left on her list.
Which equation can you use to find X?

At Henry’s birthday party, the kids get into 2 groups for a treasure hunt.
Each group has 6 kids. The letter Y stands for the total number of kids.
Which equation can you use to find Y?

Add 3 or more fractions

Granny made a fruit salad with 2/3 of a pound of melon,
2/3 of a pound of bananas, and 2/3 of a pound of pineapple.
How many pounds of fruit did Granny use in total?

A waitress put leftover tarts into the fridge on Thursday night.
She noticed that the restaurant had 2/3 of a tart filled with cherries,
1/3 of a tart filled with blueberries, and 2/3 of a tart filled with peaches.
How many leftover tarts did the restaurant have in all?

During his visit to the garden,
Arnold collected 4/7 a bag of apples,
2/7 a bag of peas and 1/7 a bag of plums.
How many bags of fruit Arnold collected?

Add and subtract mixed numbers

* Write the answer as a proper fraction or a mixed number.

The Medical Center offers its clients free tea while they wait.
By the end of the day, the tea jar,
which originally had 7 7/8 gallons of tea,
had 2 5/8 gallons left.
How many gallons of tea were distributed?

At the moment, the vet has 12 rolls of 11/12 medical tape on hand.
He plans to use 10 rolls 1/12 when working with animals this week.
How much medical tape will he have left at the end of the week?

A farmer placed an order for 9 3/4 tons of fertilizer.
He calculates that the cornfields will require 7 1/4 tons of it.
How much fertilizer will the farmer have left for his other crops?

Fractions of a Number

Of the 10 cups on the shelf, one-fifth are white.
How many white cups are on the shelf?

Four-fifths of the 20 bowls in the cupboard are yellow.
How many yellow bowls are in the cupboard?

There are 10 people waiting for the train.
Two-fifths of them have an umbrella.
How many people waiting for the train have an umbrella?

Of the 16 cookies in the cookie jar, two-quarters are peanut butter cookies.
How many peanut butter cookies are in the cookie jar?

Of the 20 people in line for ice cream, seven-tenths want vanilla.
How many people want vanilla ice cream?

Pour 2 2/4 cups of walnuts and 3 3/8 cups of pecans into the squirrel feeder.
How many glasses of nuts did the squirrel fill?

When painting my kitchen, I used 3 1/2 liters of wight paint and 2 1/4 liters of green paint.
How much paint did I use in all?

Kathleen used 6 1/3 liters to water her orchids and 2 6/9 liters to water her potted cacti.
How many liters of water did Kathleen use for the flowers?

Molly is making strawberry milkshake.
She added a 1/4 cup of strawberry syrup to 2/3 cup of milk.
How much strawberry milkshake did Molly make?

A jug of water is ½ full. If 3 children equally share the water,
what fraction of the full jug does each child get?

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Estimation word problems — Sixth Grade

6th grade estimation word problems with solutions and answers

Find the easiest ways here of solving estimation word problems grade 6. For the fact that we usually practice estimation skills in real life even without realizing, is a way to acknowledge its importance. As such, we have done well to design very interesting 6th grade estimation word problems with solutions and answers, helping your kids to learn effective ways of how and when to calculate estimation problems.

As your kid’s continue to practice our estimation word problems, they’ll discover a number of motivating reasons why estimation skills are so important in math and real life. For instance, having gained estimation skills, your kids will be able to determine the reasonableness of an answer.

Also, with good estimation skills, their mental math skills will be enhanced as they’ll now quickly arrive at reasonable solutions to most problems in real life, some of which include; counting numbers, measuring the length, breadth, or other dimensions of a place, totaling the amount in a bill, etc.

Basic rules for estimating problems in math and real life

In a bid to offer your kids perfect estimation skills, we have put down basic rules for estimating problems in math and real life.

First of all, to estimate a number, we need to round off that number so that its calculations become very easy and accurate to an extent. To round a number off, you need to determine the place value to use for a particular problem you want to estimate. For example, if you wanted to estimate the total cost of several different grocery items, you would want to round to the nearest tens place because it is money.

Moreover, you’re advised to round up by one if the digit to the left of the digit you’re rounding to is five or larger. Round down by one if it is four or less. For example, if you are rounding to the nearest 10 and your number is 63, you would round down to 60.

Finally, now that your numbers end in five or zero, you can easily do mental math to solve problems that requires either addition, subtraction, multiplication or division.

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