4th Grade Math Problems
This page will show twenty-four 4th grade math problems that can be given to students in 4th grade. These 4th grade math problems were well chosen to cover a wide variety of topics taught in 4th grade.
In this lesson, you will learn
- How to solve money problems: total cost, change and coins
- How to solve time, measurement and fraction word problems
- How to find an ordered pair after walking north, south, east or west
- How to use multiplication, division and addition in everyday problems
Money Problems
Try each problem first. Then open the answer to check your work.
- Find how long the lesson was. From 2:00 pm to 7:00 pm is 5 hours.
- The first hour costs $20.
- That leaves 5 − 1 = 4 additional hours. Each one costs $10, so 4 × $10 = $40.
- Add the two parts: $20 + $40 = $60.
The math tutor made $60.
Paying $10 for all 5 hours, or $20 for every hour. Only the first hour costs $20. The other 4 hours cost $10 each.
Problem 2
Amusement park day passes are $10 for adults and $4 for children. A family with two adults and four children visits the park. How much money did the family pay?
Show answer
Adults: 2 × $10 = $20
Children: 4 × $4 = $16
Total: $20 + $16 = $36
The family paid $36.
Problem 3
A bag of grapes costs $4.57. If you pay with $5.00, what change will be given back to you?
Show answer
$5.00 − $4.57 = $0.43
You get $0.43 (43 cents) back.
$1 = 100 cents. A quarter is 25¢, a dime is 10¢, a nickel is 5¢ and a penny is 1¢.
Problem 4
If there are 2 quarters, 4 dimes, 6 nickels, and 10 pennies in your pocket, how much money do you have?
Show answer
2 quarters: 2 × 25¢ = 50¢
4 dimes: 4 × 10¢ = 40¢
6 nickels: 6 × 5¢ = 30¢
10 pennies: 10 × 1¢ = 10¢
50¢ + 40¢ + 30¢ + 10¢ = 130¢
You have $1.30.
Problem 5
After selling candies for 25 cents each, you made $5.50. How many candies did you sell?
Show answer
$5.50 = 550 cents
550 ÷ 25 = 22
You sold 22 candies.
Tickets to a school play cost $6 for adults and $3 for children. How much do 3 adults and 2 children pay?
Show answer
$24. Adults: 3 × $6 = $18. Children: 2 × $3 = $6. Then $18 + $6 = $24.
Time, Speed and Number Pattern Problems
Problem 6
A family will drive 240 miles to go see relatives. The father drives 60 miles per hour. How long will the trip be?
Show answer
240 ÷ 60 = 4
The trip will take 4 hours.
Problem 7
Starting at 11:00 pm, a dog barks twice at 11:09, 11:15, and 11:21. What time will it be when the dog barks again?
Show answer
11:09 → 11:15 → 11:21: the dog barks every 6 minutes.
11:21 + 6 minutes = 11:27
The dog barks again at 11:27 pm.
Problem 8
A store sells 546 candies on Monday, 567 on Tuesday, and 588 on Wednesday. How many candies will the store sell on Thursday?
Show answer
567 − 546 = 21 and 588 − 567 = 21, so the store sells 21 more each day.
588 + 21 = 609
The store will sell 609 candies on Thursday.
To continue a pattern, find how much it changes from one number to the next. Check that the change is the same each time, then add it once more.
A bus stops at 8:05, 8:20 and 8:35. When will the next bus stop?
Show answer
8:50. The bus comes every 15 minutes, and 8:35 + 15 minutes = 8:50.
Measurement and Unit Conversion Problems
1 foot = 12 inches and 1 pound = 16 ounces.
Problem 9
Alicia is crying because she was not able to go on a ride. When her mom asked her why she was crying, she answered, "I must be at least 5 feet to ride." If Alicia is 54 inches tall, how many inches away is she from 5 feet?
Show answer
5 feet = 5 × 12 = 60 inches
60 − 54 = 6
Alicia is 6 inches away from 5 feet.
Subtracting 5 from 54. Feet and inches are different units, so change 5 feet to 60 inches first.
Problem 10
One pound equals 16 ounces. How many pounds will a 112-ounce bag of rice weigh?
Show answer
112 ÷ 16 = 7
The bag weighs 7 pounds.
Problem 11
If a bag of apples weighs about 212 pounds, how much will 10 bags weigh?
Show answer
10 × 2 = 20 and 10 × 12 = 5
20 + 5 = 25
10 bags weigh about 25 pounds.
Problem 12
A dining room table has a length of 50 inches and a width of 40 inches. What is the perimeter of the table?
Show answer
50 + 40 + 50 + 40 = 180
The perimeter is 180 inches.
A rope is 4 feet long. How many inches long is it?
Show answer
48 inches. Each foot is 12 inches, so 4 × 12 = 48.
Fraction Problems
Problem 13
A box has 4 pounds of flour. My mom used three-fourths (34) of the flour to make a cake. How much flour is left in the box?
Show answer
One fourth of 4 pounds: 4 ÷ 4 = 1 pound
Three fourths: 3 × 1 = 3 pounds used
4 − 3 = 1
1 pound of flour is left.
Problem 14
Your mom uses 54 pounds of flour to make a pizza dough. Your auntie, though, uses 34 pounds of flour. How much more flour does your mom use?
Show answer
54 − 34 = 24 = 12
Your mom uses 12 pound more.
Problem 15
Maria has 35 pounds of rice. John has 23 pounds of rice. Who has more rice?
Show answer
Use the common denominator 15: 35 = 915 and 23 = 1015
1015 is more than 915
John has more rice.
Problem 16
Alicia just received 200 dollars from her aunt. She gave 25 of the money to her brother. How much money did her brother get?
Show answer
One fifth: 200 ÷ 5 = 40
Two fifths: 2 × 40 = 80
Her brother got 80 dollars.
To find a fraction of a number, divide the number by the bottom number. Then multiply the result by the top number.
What is 34 of 12?
Show answer
9. First 12 ÷ 4 = 3, then 3 × 3 = 9.
Ordered Pairs on the Coordinate Grid
In an ordered pair (x, y), walking east adds to the first number and walking west subtracts from it. Walking north adds to the second number and walking south subtracts from it.
Problem 17
Jonathan's house is located at the ordered pair (3, 4). To go to school, he walks 5 blocks north and 2 blocks east. What ordered pair can be used to locate Jonathan's school?
Show answer
East 2: 3 + 2 = 5
North 5: 4 + 5 = 9
The school is at (5, 9).
Problem 18
The library near Stephanie's house is located at the ordered pair (5, 6). To go home, she walks 4 blocks south and 3 blocks west. What ordered pair can be used to locate Stephanie's house?
Show answer
West 3: 5 − 3 = 2
South 4: 6 − 4 = 2
Stephanie's house is at (2, 2).
Adding the north blocks to the first number. North and south change only the second number.
Start at (1, 2). Walk 3 blocks east and 2 blocks north. Where are you now?
Show answer
(4, 4). East: 1 + 3 = 4. North: 2 + 2 = 4.
Multiplication, Division and Addition Problems
Problem 19
A principal ordered granola bars for 3000 students to celebrate the end of the school year. The granola bars came in cases and each case has 15 boxes and each box has 20 granola bars. How many cases came?
Show answer
Bars in one case: 15 × 20 = 300
3000 ÷ 300 = 10
10 cases came.
Problem 20
If four numbers are less than 100, odd, multiples of 5, and more than 60, what are the numbers?
Show answer
Multiples of 5 end in 0 or 5. Odd ones end in 5.
Between 60 and 100: 65, 75, 85, 95
The numbers are 65, 75, 85 and 95.
Problem 21
What number am I if the sum of my two digits is 10 and the digit in my ones place is four times bigger than the digit in my tens place?
Show answer
Try tens digit 2: ones digit 4 × 2 = 8
2 + 8 = 10
The number is 28.
Problem 22
Four buses are taking students to a science museum. How many children are in each bus if there are 100 students and each bus has the same number of students?
Show answer
100 ÷ 4 = 25
There are 25 children in each bus.
Problem 23
A school shares 405 pencils with 8 classrooms. How many pencils are left if each classroom must have the same number of pencils?
Show answer
405 ÷ 8 = 50 R 5, because 8 × 50 = 400 and 405 − 400 = 5
5 pencils are left.
When you share equally, the remainder is the part that is left over.
Problem 24
In a very small city, there are 650 women, 540 men, and 1060 children. How many people are there in the city?
Show answer
650 + 540 + 1060 = 2250
There are 2,250 people in the city.
A teacher shares 50 stickers equally among 6 students. How many stickers are left over?
Show answer
2 stickers. 6 × 8 = 48, and 50 − 48 = 2.
Things to Keep in Mind About These 4th Grade Math Problems
These 4th grade problems will help kids master some important 4th grade math concepts:
- Equivalent fractions
- Putting ordered pairs on the coordinate grid
- Place value
- Subtracting fractions
- Multiplying 2-digit numbers by 1-digit numbers
- Adding and subtracting money
- Do long division
- Looking for remainders
- Dividing a 3-digit number by a 1-digit number
- Adding whole numbers
If students can solve at least 22 of these 24 4th grade math problems, you can conclude that the students are good at solving 4th grade math problems.
Summary
- Read each problem carefully and find what the question asks for.
- In money problems, changing dollars to cents can make the numbers easier.
- Change to the same unit before you compare or subtract: 1 foot = 12 inches, 1 pound = 16 ounces.
- To find a fraction of a number, divide by the bottom number, then multiply by the top number.
- On a coordinate grid, east and west change the first number; north and south change the second number.
- When you share equally, the remainder is what is left over.
Practice: Solve 5 4th Grade Word Problems
Now solve some problems yourself. Problems 1 and 2 walk you through every step. Problem 3 has fewer steps. In problems 4 and 5, you follow the key steps and find every answer yourself. You can skip a problem at any time, and each time you play you get new problems.
Practice Complete!
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