Word Problem: A complex math question written in sentences that tells a multi-step story.
Measurement: Using numbers to describe how long, heavy, full, or how much time something is.
Units: Standard amounts used to measure (inches, pounds, cups, minutes).
Operations: Addition (+), subtraction (-), multiplication (×), division (÷).
Multi-step: Problems requiring more than one operation to solve.
- Converting between different units (feet to inches)
- Solving multi-step problems
- Using multiplication and division in word problems
- Finding averages and totals
- Working with elapsed time
First rope: 24 feet
Second rope: 18 feet
Third rope: 36 feet
Question: Total length and length of each piece when divided by 6?
This is a multi-step problem. First add all lengths, then divide by 6.
24 + 18 + 36 = 78 feet total
78 ÷ 6 = 13 feet each
The total rope is 78 feet long. Each of the 6 pieces is 13 feet long.
The total rope is 78 feet long, and each of the 6 pieces is 13 feet long.
• Addition Rule: 24 + 18 + 36 = 78
• Division Rule: 78 ÷ 6 = 13
• Multi-step Process: Solve addition first, then division
Total bags: 5
Weight per bag: 12 pounds
Bags sold: 3
Question: Pounds sold and pounds kept?
This is a multi-step problem. First multiply to find total weight, then multiply to find weight sold, then subtract to find weight kept.
5 bags × 12 pounds per bag = 60 pounds total
3 bags × 12 pounds per bag = 36 pounds sold
60 - 36 = 24 pounds kept
The farmer sells 36 pounds and keeps 24 pounds of potatoes.
The farmer sells 36 pounds and keeps 24 pounds of potatoes.
• Multiplication Rule: 5 × 12 = 60 (total)
• Multiplication Rule: 3 × 12 = 36 (sold)
• Subtraction Rule: 60 - 36 = 24 (kept)
Containers: 8
Cups per container: 4
Cups served: 20
Question: Cups remaining and containers that can be filled?
This is a multi-step problem. First multiply to find total cups, then subtract cups served, then divide to find containers that can be filled.
8 containers × 4 cups per container = 32 cups total
32 - 20 = 12 cups remaining
12 ÷ 4 = 3 containers
There are 12 cups of soup remaining, which can fill 3 containers.
There are 12 cups of soup remaining, which can fill 3 containers.
• Multiplication Rule: 8 × 4 = 32 (total cups)
• Subtraction Rule: 32 - 20 = 12 (remaining)
• Division Rule: 12 ÷ 4 = 3 (containers)
Movies per day: 4
Hours per movie: 2
Operating hours: 12
Showings per movie: 3
Question: Unused hours and total showings?
This is a multi-step problem. First multiply to find movie hours, then subtract from operating hours, then multiply to find total showings.
4 movies × 2 hours each = 8 hours used for movies
12 - 8 = 4 hours not used
4 movies × 3 showings each = 12 total showings
4 hours are not used for showing movies, and there are 12 total showings.
4 hours are not used for showing movies, and there are 12 total showings.
• Multiplication Rule: 4 × 2 = 8 (movie hours)
• Subtraction Rule: 12 - 8 = 4 (unused hours)
• Multiplication Rule: 4 × 3 = 12 (total showings)
Classrooms: 3
Students per classroom: 24
Absent students per classroom: 5
Groups for field trip: 3
Question: Present students and students per group?
This is a complex multi-step problem. First multiply to find total students, then multiply to find absent students, subtract to find present students, then divide by number of groups.
3 classrooms × 24 students = 72 total students
3 classrooms × 5 absent = 15 absent students
72 - 15 = 57 present students
57 ÷ 3 groups = 19 students per group
57 students are present, and each group will have 19 students.
57 students are present, and each group will have 19 students.
• Multiplication Rule: 3 × 24 = 72 (total)
• Multiplication Rule: 3 × 5 = 15 (absent)
• Subtraction Rule: 72 - 15 = 57 (present)
• Division Rule: 57 ÷ 3 = 19 (per group)