Grade 5/Division
Mixed Four Operations Word Problems (No Remainders) (879)
Students solve real-world stories that mix all four operations: addition, subtraction, multiplication, and division. Many problems have two steps, so students must decide which operation to use first and check that their answers make sense. All division situations are written so the answers are whole numbers, keeping the focus on choosing operations, not on remainders.
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Quick Tip
Read carefully. Decide which operation(s) to use, then solve step by step.
Teacher Resources
Teaching Notes
Use these mixed-operation problems to help students slow down, read carefully, and plan their steps. Have them highlight or underline key words that show whether they should add, subtract, multiply, or divide. Encourage drawing quick sketches or bar models for tricky problems. Model thinking out loud: “First I will..., then I will...”. Emphasize checking if the final answer makes sense in the story.
Vocabulary
Multi-step: Requires more than one calculation to solve.
Problem Solving: Using math skills to find solutions.
Common Mistakes
- Solving only one step in a two-step problem and forgetting the second step
- Choosing the wrong operation because of a single keyword (like always subtracting with the word "left")
- Not reading the final question carefully and answering the wrong thing
- Ignoring units and writing bare numbers without labels
- Choosing incorrect operation
- Missing a problem step
- Calculation errors
- Not checking answer's sense
Differentiation
SupportProvide graphic organizers that break problems into Step 1 and Step 2 with space for equations. Work through the first few together as a class. Allow students to use manipulatives or drawings to represent the situation. Offer sentence stems such as 'First I ____, then I ____ so the answer is ____ .'
ChallengeChallenge students to write their own two-step word problems that mix operations and exchange them with a partner to solve. Ask them to estimate answers before solving and check if their exact answer is reasonable. Extend some problems by asking “What if...?” follow-up questions that change one of the numbers.
Discussion Questions
- How did you decide which operation to use first in a two-step problem?
- What clues in the story told you that you should multiply or divide instead of add or subtract?
- Why is it important to check whether your answer makes sense in the real situation?
- How are division and multiplication connected in these problems?
- How did you decide the first step?
- Can this problem be solved another way?
- What clues helped you choose operations?
- How do you check your final answer?
Extension Activities
- Have students sort problems by main operation or by one-step vs two-step and discuss their choices.
- Turn selected problems into short skits where students act out the story, then solve.
- Create math journals where students write about how they knew which operations to use.
- Use exit tickets where students invent a new mixed-operation problem similar to one from the worksheet.
Parent Tip
Involve your child in simple budgeting or planning tasks.
Learning Path
Skill Cluster
Number Operations and Problem Solving
Estimated Time
25 minutes
Skills Practiced
addition subtraction within 1000multiplication facts to 12division facts to 12multi step word problems
Prerequisites
- One-step addition and subtraction word problems
- One-step multiplication and division word problems
Next Steps
- Multi-step problems with remainders
- Problems with larger whole numbers
- Multi-step problems with fractions/decimals
- Interpreting Remainders in Word Problems
- Multi-Digit Multiplication Word Problems
- Multi-Step Word Problems with Larger Numbers